courses of study: minor linguistics major (b.a.) filelinguistics courses of study: minor major...

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An interdepartmental program

LinguisticsCourses of Study:MinorMajor (B.A.)

ObjectivesObjectivesObjectivesObjectivesObjectives

The major in linguistics is designed to give students a foundationin the theory of language and its relation to allied fields ofinquiry. The major emphasizes the approach of generativegrammar, which attempts to describe formally the nature of aspeaker’s knowledge of his or her native language and to placethis knowledge in a psychological and biological framework. Inthe last 40 years, this approach to the study of language has had aprofound influence on fields as diverse as philosophy,psychology, anthropology, neuroscience, and computer science,as well as the linguist’s traditional concerns with modern andclassical languages and with linguistic universals.

How to Become a MajorHow to Become a MajorHow to Become a MajorHow to Become a MajorHow to Become a Major

In order to get the flavor of the field of linguistics, the best way tostart is to take LING 100a (Introduction to Linguistics), which dealswith the major concepts of the field and the technical tools used toarticulate these concepts. The course also introduces students to thefeel of doing research on language, through the use of numerousproblem sets concerning the organization of a variety of languages.

Students wishing to major or minor in linguistics should arrange tomeet with the undergraduate advising head to discuss the planning ofa program that meets their interests.

FacultyFacultyFacultyFacultyFaculty

Ray Jackendoff, Chair and UndergraduateRay Jackendoff, Chair and UndergraduateRay Jackendoff, Chair and UndergraduateRay Jackendoff, Chair and UndergraduateRay Jackendoff, Chair and UndergraduateAdvising HeadAdvising HeadAdvising HeadAdvising HeadAdvising HeadConceptual structure. Consciousness.Spatial cognition. Social cognition.

Barbara CitkoBarbara CitkoBarbara CitkoBarbara CitkoBarbara CitkoSyntactic theory. Slavic linguistics.

Joan MalingJoan MalingJoan MalingJoan MalingJoan MalingSyntactic theory. Icelandic syntax. Koreansyntax.

The following members of otherdepartments are affiliated with linguistics:

Joan Chevalier (RUS), Janet McIntosh(ANTH), James Pustejovsky (COSI), JerrySamet (PHIL).

Requirements for the MajorRequirements for the MajorRequirements for the MajorRequirements for the MajorRequirements for the Major

A.A.A.A.A. Ten semester courses are required of all candidates:

1. LING 100a, LING 110a, LING 120b, and LING 130a.

2. Two additional courses selected from LING 125b, 128a, 197a,and PSYC 173a.

3. Three additional courses to be chosen from the LING coursesand the cross-listed and electives below. This selection must beapproved by the undergraduate advisor for the major.

4. One advanced course in a natural language to be chosen fromthe following list: CHIN 105a, CHIN 105b, FREN 105a, FREN106b, GER 103a, GER 104a, HBRW 141a, HBRW 161b, ITAL105a, JAPN 105a, RUS 105a, RUS 106b, SPAN 105a, or SPAN106b.

B.B.B.B.B. Honors will be awarded on successful completion of a seniorthesis (LING 99d) in addition to the above course requirements.A grade point average of 3.50 or above in linguistics andcognitive science courses is normally required.

C.C.C.C.C. A grade of C or better is necessary for all courses offeredtoward a major in linguistics. No course offered toward thefulfillment requirements for the major may be taken on a pass/fail basis.

D.D.D.D.D. Students may petition the linguistics major committee forchanges in the above program.

Requirements for the MinorRequirements for the MinorRequirements for the MinorRequirements for the MinorRequirements for the Minor

A.A.A.A.A. Five semester courses are required:

1. LING 100a and 120b.

2. LING 110a or 130a.

3. Any other two LING or cross-listed courses numbered 98 andabove. Courses from the list of electives may be substituted withapproval of the advisor.

B.B.B.B.B. At most, one course will be accepted as simultaneously satisfying astudent’s major requirements and the requirements of the minor inlinguistics.

C.C.C.C.C. No course offered toward the fulfillment of the requirements forthe minor may be taken on a pass/fail basis.

D.D.D.D.D. Students may petition the linguistics major committee for changesin the above program.

254 Linguistics

Courses of InstructionCourses of InstructionCourses of InstructionCourses of InstructionCourses of Instruction

(1-99) Primarily for Undergraduate(1-99) Primarily for Undergraduate(1-99) Primarily for Undergraduate(1-99) Primarily for Undergraduate(1-99) Primarily for UndergraduateStudentsStudentsStudentsStudentsStudents

LING 8b Structure of the English LanguageLING 8b Structure of the English LanguageLING 8b Structure of the English LanguageLING 8b Structure of the English LanguageLING 8b Structure of the English Language[ hum ss ]Open to first-year students.A nontechnical introduction to thestructure of English words and sentences.Classical roots of English vocabulary: wordanalysis, base forms, and rules ofallomorphy. Basic concepts of grammar:categories (noun, adjective, adverb, etc.),functions (subject, object, modifier, etc.),phrases and clauses of various types.Consists of three class hours and one one-hour recitation per week. Usually offeredevery year.Ms. Citko

LING 98a Readings in LinguisticsLING 98a Readings in LinguisticsLING 98a Readings in LinguisticsLING 98a Readings in LinguisticsLING 98a Readings in LinguisticsIndependent reading and research under thedirection of a faculty supervisor. Whenappropriate, a faculty member may organizea small group of students into a seniorseminar. Usually offered every year.Staff

LING 98b Readings in LinguisticsLING 98b Readings in LinguisticsLING 98b Readings in LinguisticsLING 98b Readings in LinguisticsLING 98b Readings in LinguisticsSee LING 98a for course description.Usually offered every year.Staff

LING 99d Senior ResearchLING 99d Senior ResearchLING 99d Senior ResearchLING 99d Senior ResearchLING 99d Senior ResearchInvolves the student in an independentresearch project under the supervision of astaff member. A student whose grade pointaverage in linguistics is 3.50 or better maypetition at the end of junior year forpermission to enter this course. Thestudent’s findings are to be presented inwriting and defended orally before acommittee of staff members. Usuallyoffered every year.Staff

(100-199) For Both Undergraduate(100-199) For Both Undergraduate(100-199) For Both Undergraduate(100-199) For Both Undergraduate(100-199) For Both Undergraduateand Graduate Studentsand Graduate Studentsand Graduate Studentsand Graduate Studentsand Graduate Students

LING 100a Introduction to LinguisticsLING 100a Introduction to LinguisticsLING 100a Introduction to LinguisticsLING 100a Introduction to LinguisticsLING 100a Introduction to Linguistics[ ss ]Open to first year students.A general introduction to linguistic theoryand the principles of linguistic analysis.Students will construct detailed analyses ofdata from English and other languages inthe areas of syntax, semantics, phonetics,and phonology and examine theirimplications for a theory of language as it isencoded in the human mind. Usuallyoffered every year.Ms. Citko

LING 110a Phonological TheoryLING 110a Phonological TheoryLING 110a Phonological TheoryLING 110a Phonological TheoryLING 110a Phonological Theory[ ss ]Prerequisite: LING 100a.An introduction to generative phonology,the theory of natural language soundsystems. Includes discussion of articulatoryphonetics, distinctive feature theory, theconcept of a “natural class,” morphologyand the nature of morphophonemics, anduniversal properties of the rules that relatemorphophonemic and phoneticrepresentations. Usually offered everysecond year.Staff

LING 112b Historical LinguisticsLING 112b Historical LinguisticsLING 112b Historical LinguisticsLING 112b Historical LinguisticsLING 112b Historical Linguistics[ ss ]Prerequisite: LING 100a or permission ofthe instructor.Explores how and why language changes.Methods of linguistic reconstruction andthe “comparative method” are introducedand explored. Features a hands-on approach,challenging students to apply principles toexamples from a wide variety of languages.Usually offered every third year.Ms. Chevalier

LING 120b Syntactic TheoryLING 120b Syntactic TheoryLING 120b Syntactic TheoryLING 120b Syntactic TheoryLING 120b Syntactic Theory[ ss ]Prerequisite: LING 100a. LING 8brecommended.Extends the syntactic framework developedin the introductory course through thestudy of such problems as the complementsystem, the lexicon, and constraints, withemphasis on their relevance to universalgrammar. Usually offered every year.Ms. Maling

LING 125b Universal GrammarLING 125b Universal GrammarLING 125b Universal GrammarLING 125b Universal GrammarLING 125b Universal Grammar[ ss ]Prerequisite: LING 100a or permission ofthe instructor.Advanced topics in the theory of languagetypology and universal grammar. May berepeated for credit with permission ofinstructor. Usually offered every secondyear.Mr. Jackendoff and Ms. Maling

LING 128a Investigations in an UnfamiliarLING 128a Investigations in an UnfamiliarLING 128a Investigations in an UnfamiliarLING 128a Investigations in an UnfamiliarLING 128a Investigations in an UnfamiliarLanguageLanguageLanguageLanguageLanguage[ ss ]Prerequisite: ANTH 61b or LING 100a. Maynot be repeated for credit by students whohave taken ANTH 125b in previoussemesters.Using a native speaker of an unfamiliarlanguage (such as Turkish or Amharic) as asource of data, the class will investigate thestructure of the language and compare itwith the structure of English and otherfamiliar languages. May be repeated forcredit. Usually offered every second year.Staff

LING 130a Semantics: The Structure ofLING 130a Semantics: The Structure ofLING 130a Semantics: The Structure ofLING 130a Semantics: The Structure ofLING 130a Semantics: The Structure ofConceptsConceptsConceptsConceptsConcepts[ hum ss ]Prerequisite: LING 100a or permission ofthe instructor. LING 8b or LING 120brecommended.Explores the semantic structure of languagein terms of current linguistic theory. Itsgoal is to use the structure of language tohelp discover the characteristics of humanconcepts. Topics include the nature of wordmeanings, categorization, and thesemantics of spatial and possessionalexpressions. Usually offered every year.Mr. Jackendoff

LING 153a ConsciousnessLING 153a ConsciousnessLING 153a ConsciousnessLING 153a ConsciousnessLING 153a Consciousness[ ss ]Explores the nature of conscious awarenessand its relation to the mind and body. Aftergoing through the philosophical history ofthe mind-body problem, the class discussesthe role of consciousness in cognitivescience. Usually offered every fourth year.Mr. Jackendoff

LING 190b Topics in Cognitive ScienceLING 190b Topics in Cognitive ScienceLING 190b Topics in Cognitive ScienceLING 190b Topics in Cognitive ScienceLING 190b Topics in Cognitive Science[ ss ]Prerequisite: LING 120b and/or LING 130aor permission of the instructor. May berepeated for credit with instructor’spermission. Intended primarily forupperclass majors, but open to otherqualified students.Topics include advanced lexical semantics,the structure of lexicon, and semanticcomposition and co-composition. Usuallyoffered every fourth year.Mr. Jackendoff

LING 197a Language Acquisition andLING 197a Language Acquisition andLING 197a Language Acquisition andLING 197a Language Acquisition andLING 197a Language Acquisition andDevelopmentDevelopmentDevelopmentDevelopmentDevelopment[ ss ]Prerequisite: LING 100a or permission ofthe instructor.The central problem of language acquisitionis to explain what makes this formidabletask possible. Theories of languageacquisition are studied, and conclusions arebased on recent research in thedevelopment of syntax, semantics, andphonology. The overall goal is to arrive at acoherent picture of the language learningprocess. Usually offered every third year.Staff

LING 199a Directed Research in LinguisticsLING 199a Directed Research in LinguisticsLING 199a Directed Research in LinguisticsLING 199a Directed Research in LinguisticsLING 199a Directed Research in Linguistics[ ss ]Usually offered every year.Staff

LING 199b Directed Research in LinguisticsLING 199b Directed Research in LinguisticsLING 199b Directed Research in LinguisticsLING 199b Directed Research in LinguisticsLING 199b Directed Research in Linguistics[ ss ]Usually offered every year.Staff

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Cross-Listed CoursesCross-Listed CoursesCross-Listed CoursesCross-Listed CoursesCross-Listed Courses

COSI 114bCOSI 114bCOSI 114bCOSI 114bCOSI 114bTopics in Computational Linguistics

ENG 142bENG 142bENG 142bENG 142bENG 142bIntroduction to Old Norse

HBRW 167bHBRW 167bHBRW 167bHBRW 167bHBRW 167bThe Revival of Modern Hebrew

PSYC 153aPSYC 153aPSYC 153aPSYC 153aPSYC 153aConsciousness

PSYC 173aPSYC 173aPSYC 173aPSYC 173aPSYC 173aPsycholinguistics

PSYC 183aPSYC 183aPSYC 183aPSYC 183aPSYC 183aSocial Cognition from a Cognitive SciencePerspective

Linguistics

ElectivesElectivesElectivesElectivesElectives

ANTH 61bANTH 61bANTH 61bANTH 61bANTH 61bLanguage in American Life

ANTH 126bANTH 126bANTH 126bANTH 126bANTH 126bSymbol, Meaning, and Reality: Explorationsin Cultural Semiotics

ANTH 139bANTH 139bANTH 139bANTH 139bANTH 139bLanguage, Ethnicity, and Nationalism

ANTH 161bANTH 161bANTH 161bANTH 161bANTH 161bCulture and Cognition

ANTH 186bANTH 186bANTH 186bANTH 186bANTH 186bLinguistic Anthropology

COSI 35aCOSI 35aCOSI 35aCOSI 35aCOSI 35aFundamentals of Artificial Intelligence

NEJS 104bNEJS 104bNEJS 104bNEJS 104bNEJS 104bEzra, Daniel, and Early Aramaic Texts

NPSY 22bNPSY 22bNPSY 22bNPSY 22bNPSY 22bIntroduction to Cognitive Neuroscience

NPSY 199aNPSY 199aNPSY 199aNPSY 199aNPSY 199aHuman Neuropsychology

PHIL 6aPHIL 6aPHIL 6aPHIL 6aPHIL 6aIntroduction to Symbolic Logic

PHIL 37aPHIL 37aPHIL 37aPHIL 37aPHIL 37aPhilosophy of Language

PHIL 39bPHIL 39bPHIL 39bPHIL 39bPHIL 39bPhilosophy of Mind

PHIL 137aPHIL 137aPHIL 137aPHIL 137aPHIL 137aInnateness

PHIL 139bPHIL 139bPHIL 139bPHIL 139bPHIL 139bTopics in Logic

PHIL 141bPHIL 141bPHIL 141bPHIL 141bPHIL 141bTopics in Philosophy and Cognitive Science

PSYC 13bPSYC 13bPSYC 13bPSYC 13bPSYC 13bPerception

PSYC 103aPSYC 103aPSYC 103aPSYC 103aPSYC 103aSeminar in the Neuropsychology ofLanguage

Department of

MathematicsCourses of Study:MinorMajor (B.A.)Combined B.A./M.AMaster of ArtsDoctor of Philosophy


Undergraduate MajorUndergraduate MajorUndergraduate MajorUndergraduate MajorUndergraduate MajorAs our society becomes more technological, it is more affected bymathematics. Quite sophisticated mathematics is now central tothe natural sciences, to ecological issues, to economics, and toour commercial and technical life. A student who takes suchgeneral level courses as Math 5, 8, 10, 15, or 20 will betterunderstand the world and be prepared to act in it.

Mathematics is, at the same time, a subject of the greatest depthand beauty with a history extending from antiquity. Thedepartment attempts to make this depth and beauty manifest.The undergraduate major program introduces students to somefundamental fields—algebra, real and complex analysis,geometry, and topology—and to the habit of mathematicalthought. Mathematics majors may go on to graduate school,scientific research, or mathematics teaching, but many choosethe major for its inherent interest with unrelated careerintentions.

Graduate Program in MathematicsGraduate Program in MathematicsGraduate Program in MathematicsGraduate Program in MathematicsGraduate Program in MathematicsThe Graduate Program in Mathematics is designed primarily tolead to the Doctor of Philosophy degree. The formal course workgives the student a broad foundation for work in modern puremathematics. An essential part of the program consists ofseminars on a variety of topics of current interest in whichmathematicians from Greater Boston often participate. Inaddition, the Brandeis-Harvard-MIT-Northeastern MathematicsColloquium gives the student an opportunity to hear the currentwork of eminent mathematicians from all over the world.

How to Become an Undergraduate MajorHow to Become an Undergraduate MajorHow to Become an Undergraduate MajorHow to Become an Undergraduate MajorHow to Become an Undergraduate Major

Students who enjoy mathematics are urged to consider concentratingin it; Brandeis offers a wide variety of mathematics courses, andmajors will have the benefits of small classes and individual facultyattention. To become a major a student should have completed eitherMATH 15 and 20, MATH 21a, 21b, or MATH 22a, 22b by the end ofthe sophomore year—these courses are prerequisites to the higherlevel offerings. Therefore, it is important for students to startcalculus and linear algebra (MATH 10, 15, 20, 21, or 22) in the firstyear.

How to Be Admitted to the Graduate ProgramHow to Be Admitted to the Graduate ProgramHow to Be Admitted to the Graduate ProgramHow to Be Admitted to the Graduate ProgramHow to Be Admitted to the Graduate Program

The general requirements for admission to graduate work inmathematics are the same as those for the Graduate School as awhole. The department has available a variety of fellowships andscholarships for well-qualified students. To be considered for suchfinancial support the student should submit an application byJanuary 15.

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Kiyoshi Igusa, ChairKiyoshi Igusa, ChairKiyoshi Igusa, ChairKiyoshi Igusa, ChairKiyoshi Igusa, ChairDifferential topology. Homological algebra.

Mark AdlerMark AdlerMark AdlerMark AdlerMark AdlerAnalysis. Differential equations.Completely integrable systems.

Ruth CharneyRuth CharneyRuth CharneyRuth CharneyRuth CharneyGeometric group theory. Topology.

Fred Diamond, Graduate Advising HeadFred Diamond, Graduate Advising HeadFred Diamond, Graduate Advising HeadFred Diamond, Graduate Advising HeadFred Diamond, Graduate Advising HeadNumber theory.

Ira GesselIra GesselIra GesselIra GesselIra GesselCombinatorics. Computer science.

Mathematics

Dmitry KleinbockDmitry KleinbockDmitry KleinbockDmitry KleinbockDmitry KleinbockDynamical systems. Ergodic theory.Number theory.

Jerome Levine, UndergraduateJerome Levine, UndergraduateJerome Levine, UndergraduateJerome Levine, UndergraduateJerome Levine, UndergraduateAdministratorAdministratorAdministratorAdministratorAdministratorDifferential topology. Knot theory andrelated algebra.

Bong LianBong LianBong LianBong LianBong LianRepresentation theory. Calabi-Yaugeometry. String theory.

Alan MayerAlan MayerAlan MayerAlan MayerAlan MayerClassical algebraic geometry and relatedtopics in mathematical physics.

Paul Monsky, Undergraduate Advising HeadPaul Monsky, Undergraduate Advising HeadPaul Monsky, Undergraduate Advising HeadPaul Monsky, Undergraduate Advising HeadPaul Monsky, Undergraduate Advising HeadNumber theory. Arithmetic algebraicgeometry. Commutative algebra.

Susan Parker, Elementary MathematicsSusan Parker, Elementary MathematicsSusan Parker, Elementary MathematicsSusan Parker, Elementary MathematicsSusan Parker, Elementary MathematicsCoordinatorCoordinatorCoordinatorCoordinatorCoordinatorCombinatorics. Elementary mathematicsinstruction.

Daniel RubermanDaniel RubermanDaniel RubermanDaniel RubermanDaniel RubermanGeometric topology and gauge theory.

Gerald SchwarzGerald SchwarzGerald SchwarzGerald SchwarzGerald SchwarzAlgebraic groups. Transformation groups.

Harry TamvakisHarry TamvakisHarry TamvakisHarry TamvakisHarry TamvakisArithmetic algebraic geometry. Arakelovtheory.

Pierre Van MoerbekePierre Van MoerbekePierre Van MoerbekePierre Van MoerbekePierre Van MoerbekeStochastic processes. Korteweg-deVriesequation. Toda lattices.

Requirements for the Undergraduate MajorRequirements for the Undergraduate MajorRequirements for the Undergraduate MajorRequirements for the Undergraduate MajorRequirements for the Undergraduate Major

A.A.A.A.A. MATH 21a, 22a, or 15a; MATH 21b, 22b, or 20a.

B.B.B.B.B. MATH 23b or exemption. See item E in Special Notes Relatingto Undergraduates.

C.C.C.C.C. MATH 35a, 40a, or 45a.

D.D.D.D.D. MATH 28a, 28b, or 30a.

E.E.E.E.E. Four additional semester courses, either MATH coursesnumbered 27 or higher or cross-listed courses. A course used tosatisfy the requirements for the major must be passed with agrade of C- or higher.

HonorsHonorsHonorsHonorsHonorsA degree with honors requires items A, B, C, and D above as wellas:

E.E.E.E.E. Six additional semester courses, either MATH coursesnumbered 27 or higher or cross-listed courses, passed with atleast a grade of B. At least four of the courses used to satisfy themajor requirement must be honors courses. The honors coursesare MATH 30a, 30b, 32a, 34a, 38b, 40a, 40b, 45a, and all MATHcourses numbered 100 or higher.

Teacher Preparation TrackTeacher Preparation TrackTeacher Preparation TrackTeacher Preparation TrackTeacher Preparation TrackStudents who complete the Brandeis program for MassachusettsHigh School Teacher Licensure (see section on EducationProgram in this Bulletin) may earn a bachelor’s degree inmathematics by satisfying major requirements A, B, C, and Dabove and the following:

E.E.E.E.E. MATH 8a (Introduction to Probability and Statistics) or 36a(Probability).

F.F.F.F.F. Two additional courses, either MATH courses numbered 27 orhigher or cross-listed courses.

G.G.G.G.G. A computer science course numbered 10 or higher.

H.H.H.H.H. Completion of the High School Teacher Licensure Program.

Combined B.A./M.A. ProgramCombined B.A./M.A. ProgramCombined B.A./M.A. ProgramCombined B.A./M.A. ProgramCombined B.A./M.A. Program

Undergraduate students are eligible for the B.A./M.A. program inmathematics if they have completed MATH 101a,b; 110a; 111a,b; and121 a,b with a grade of B- or better, and demonstrated a readingknowledge of mathematical French, German, or Russian. No morethan three of these courses, however, may be counted towards themajor. In addition, students must fulfill a minimum of three years’residence on campus. A student must make formal writtenapplication for admission to this program on forms available at theGraduate School office. This must be done no later than May 1preceding his/her final year of study on campus.

Requirements for the Undergraduate MinorRequirements for the Undergraduate MinorRequirements for the Undergraduate MinorRequirements for the Undergraduate MinorRequirements for the Undergraduate Minor

A.A.A.A.A. MATH 21a, 22a, or 15a; MATH 21b, 22b, or 20a.

B.B.B.B.B. Three additional semester courses, either MATH courses numbered27 or higher or cross-listed courses. Most MATH courses numbered27 or higher require MATH 23b as a prerequisite.

Students interested in analysis, physics, or applied mathematics areadvised to choose additional courses from among MATH 35a, 36a,36b, 37a, and 45a. Students interested in algebra or computer scienceare advised to consider MATH 28a, 28b, 30a, 30b, and 38b. Withpermission of the undergraduate advising head, courses taken in otherBrandeis departments or taken at other universities may besubstituted for mathematics courses required for the minor. A courseused to satisfy the requirements for the minor must be passed with agrade of C- or higher.

Special Notes Relating to UndergraduatesSpecial Notes Relating to UndergraduatesSpecial Notes Relating to UndergraduatesSpecial Notes Relating to UndergraduatesSpecial Notes Relating to Undergraduates

A.A.A.A.A. With permission of the undergraduate advising head, courses takenin other Brandeis departments or taken at other universities may besubstituted for required mathematics courses. A grade of C or betteris required in courses satisfying the major requirements.

B.B.B.B.B. Students who intend to take mathematics courses numbered 10 orhigher should take the departmental placement exam. On the basis ofthe exam, recommendations are made placing students out of the firstyear of calculus or into MATH 5a, 10a, or 10b. Students receiving ascore of 5 on the advanced placement MATH AB Exam or a score of 4

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or more on the MATH BC Exam place out of the first-yearcalculus sequence. Students receiving a score of 4 on the MATHAB Exam or a score of 3 on the MATH BC Exam place out offirst-semester calculus. Such students must take thedepartmental placement exam if they wish to place out of secondsemester calculus. Questions about placement should be directedto the elementary mathematics coordinator, or the undergraduateadvising head.

C.C.C.C.C. The usual calculus sequence is MATH 10a, 10b, and 20a.Students may precede this with MATH 5a. Many students alsotake MATH 15a (Applied Linear Algebra), which has MATH 5a(or placement out of MATH 5a) as a prerequisite. Students with astrong interest in mathematics and science are encouraged totake MATH 21a,b or 22a,b in place of MATH 15a and 20a.

D.D.D.D.D. A student may not receive credit for more than one of MATH15a, 21a, and 22a; or MATH 20a, 21b, and 22b. Similarly, astudent may not receive credit for all three of MATH 28a, 28b,and 30a.

E.E.E.E.E. Students should normally take MATH 23b before takingupper-level courses (i.e., those numbered above 23). For manystudents this means taking MATH 23b concurrently with MATH15a, or MATH 20a, MATH 21a or b, MATH 22a or b. Studentsmay also take MATH 23b concurrently with MATH 35a andMATH 36a since these do not have MATH 23b as a prerequisite.A student may be exempted from the requirement of takingMATH 23b by satisfactory performance on a placement exam.The placement exam will be given at the beginning of the fallsemester and the end of the spring semester.

F.F.F.F.F. Students interested in graduate school or a more intensivestudy of mathematics are urged to include all of the followingcourses in their program:

1. MATH 21a and b or 22a and b

2. MATH 30a and b

3. MATH 35a or 40a and b

4. MATH 45a

A course numbered 100 or higher.

G.G.G.G.G. The following schedule determines course offerings inmathematics:

1. Offered every semester are MATH 5a, 10a and b, 15a, and 20a.

2. Offered once each year are MATH 8a, 21a and b, 23b, 28a andb, 30a and b, 35a, 36a and b, 37a, 40a and b, 45a.

3. In addition, the following semester courses are usually offeredaccording to the following schedule:

a. MATH 32a (Differential Geometry) spring term odd-even years(e.g., 2005-06)

b. MATH 34a (Introduction to Topology) fall term odd-even years(e.g., 2005-06)

c. MATH 38b (Number Theory) spring term even-odd years (e.g.,2006-07)

H.H.H.H.H. The number of cross listed courses used to satisfy therequirements for the major, the honors or teacher preparationtrack must not exceed two; for the minor the limit is one.

Requirements for the Degree of Master of ArtsRequirements for the Degree of Master of ArtsRequirements for the Degree of Master of ArtsRequirements for the Degree of Master of ArtsRequirements for the Degree of Master of Arts

A.A.A.A.A. One year’s residence as a full-time student.

B.B.B.B.B. Successful completion of an approved schedule of courses: MATH101a and b, MATH 110a, MATH 111a and b, and MATH 121a and b.

C.C.C.C.C. Proficiency in reading French, German, or Russian.

Requirements for the Degree of Doctor of PhilosophyRequirements for the Degree of Doctor of PhilosophyRequirements for the Degree of Doctor of PhilosophyRequirements for the Degree of Doctor of PhilosophyRequirements for the Degree of Doctor of Philosophy

Program of StudyProgram of StudyProgram of StudyProgram of StudyProgram of StudyThe normal first year of study consists of MATH 101a and b, 111aand b, and 121a and b. With the permission of the graduate advisor, astudent with superior preparation may omit one or more of thesecourses and elect higher level courses instead. In this case the studentmust take an examination in the equivalent material during the firsttwo weeks of the course. The second year’s work will normallyconsist of MATH 110a and higher level courses in addition topreparation for the qualifying examinations described below andparticipation in the second-year seminar. Upon completion of thequalifying examinations, the student will choose a dissertationadvisor and begin work on a thesis. This should be accompanied byadvanced courses and seminars.

Teaching RequirementsTeaching RequirementsTeaching RequirementsTeaching RequirementsTeaching RequirementsAn important part of the doctoral program is participation, as ateaching fellow, in a structured program of undergraduate teaching.During the spring semester of their first year, every student takes partin our teaching apprenticeship program to learn basic classroomteaching skills. All graduate students are then expected to teach asection of calculus or pre-calculus for at least four semesters, usuallybeginning in their second year of study. Teaching fellows must alsoenroll every fall semester in the Teaching Practicum, in which theirteaching is evaluated and discussed.

Residence RequirementResidence RequirementResidence RequirementResidence RequirementResidence RequirementThe minimum residence requirement is three years.

Language RequirementLanguage RequirementLanguage RequirementLanguage RequirementLanguage RequirementProficiency in reading one of French, German, or Russian, and oneother language (besides English) determined with the consent of theadvisor.

Qualifying ExaminationQualifying ExaminationQualifying ExaminationQualifying ExaminationQualifying ExaminationThe qualifying examination consists of two parts: a majorexamination and a minor examination. Both are normally taken inthe latter part of the second year but may occasionally be postponeduntil early in the third year. For the major examination, the studentwill choose a limited area of mathematics (e.g., differential topology,several complex variables, or ring theory) and a major examiner fromamong the faculty. Together they will plan a program of study and asubsequent examination in that material. The aim of this study is toprepare the student for research towards the Ph.D. The minorexamination will be more limited in scope and less advanced incontent. The procedures are similar to those for the majorexamination, but its subject matter should be significantly differentfrom that of the major examination.

Dissertation and DefenseDissertation and DefenseDissertation and DefenseDissertation and DefenseDissertation and DefenseThe doctoral degree will be awarded only after the submission andacceptance of an approved dissertation and the successful defense ofthat dissertation.

Mathematics

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(1-99) Primarily for Undergraduate(1-99) Primarily for Undergraduate(1-99) Primarily for Undergraduate(1-99) Primarily for Undergraduate(1-99) Primarily for UndergraduateStudentsStudentsStudentsStudentsStudents

MATH 1a Introduction to MathematicalMATH 1a Introduction to MathematicalMATH 1a Introduction to MathematicalMATH 1a Introduction to MathematicalMATH 1a Introduction to MathematicalConceptsConceptsConceptsConceptsConcepts[ sn ]Mathematical reasoning; where it would beexpected, and elsewhere. A variety of shorttopics involving games and puzzles, numbertheory, combinatorics, and topology.Usually offered every third year.Staff

MATH 5a Precalculus MathematicsMATH 5a Precalculus MathematicsMATH 5a Precalculus MathematicsMATH 5a Precalculus MathematicsMATH 5a Precalculus MathematicsDoes not satisfy the School of Sciencerequirement.Brief review of algebra followed by thestudy of functions. Emphasis onexponential, logarithmic, and trigonometricfunctions. The course’s goal is to preparestudents for MATH 10a. The decision totake this course should be guided by theresults of the mathematics placementexam. Usually offered every semester inmultiple sections.Ms. Parker and Staff

MATH 8a Introduction to Probability andMATH 8a Introduction to Probability andMATH 8a Introduction to Probability andMATH 8a Introduction to Probability andMATH 8a Introduction to Probability andStatisticsStatisticsStatisticsStatisticsStatistics[ qr sn ]Discrete probability spaces, randomvariables, expectation, variance,approximation by the normal curve, samplemean and variance, and confidenceintervals. Does not require calculus, onlyhigh school algebra and graphing offunctions. Usually offered every year.Mr. Adler

MATH 10a Techniques of Calculus (a)MATH 10a Techniques of Calculus (a)MATH 10a Techniques of Calculus (a)MATH 10a Techniques of Calculus (a)MATH 10a Techniques of Calculus (a)[ sn ]Prerequisite: a satisfactory grade of C- orhigher in MATH 5a or placement byexamination.Introduction to differential (and someintegral) calculus of one variable, withemphasis on techniques and applications.Usually offered every semester in multiplesections.Ms. Parker and Staff (fall) Ms. Charney andStaff (spring)

MATH 10b Techniques of Calculus (b)MATH 10b Techniques of Calculus (b)MATH 10b Techniques of Calculus (b)MATH 10b Techniques of Calculus (b)MATH 10b Techniques of Calculus (b)[ sn ]Prerequisite: a satisfactory grade of C- orhigher in MATH 10a or placement byexamination. Continuation of 10a. Studentsmay not take MATH 10a and MATH 10bsimultaneously.Introduction to integral calculus of onevariable with emphasis on techniques andapplications. Usually offered every semesterin multiple sections.Mr. Ruberman and Staff (fall)Ms. Parker and Staff (spring)

Mathematics

MATH 15a Applied Linear AlgebraMATH 15a Applied Linear AlgebraMATH 15a Applied Linear AlgebraMATH 15a Applied Linear AlgebraMATH 15a Applied Linear Algebra[ sn ]Prerequisites: MATH 5a and permission ofthe instructor, placement by examination,or any mathematics course numbered 10 orabove. Students may not take more thanone of MATH 15a, 21a, and 22a for credit.Matrices, determinants, linear equations,vector spaces, eigenvalues, quadratic forms,linear programming. Emphasis ontechniques and applications. Usuallyoffered every semester.Ms. Charney and Mr. Monsky (fall) Mr.Mayer (spring)

MATH 20a Techniques of Calculus:MATH 20a Techniques of Calculus:MATH 20a Techniques of Calculus:MATH 20a Techniques of Calculus:MATH 20a Techniques of Calculus:Calculus of Several VariablesCalculus of Several VariablesCalculus of Several VariablesCalculus of Several VariablesCalculus of Several Variables[ sn ]Prerequisite: MATH 10a,b. Students maynot take more than one of MATH 20a, 21b,and 22b for credit.Among the topics treated are vectors andvector-valued functions, partial derivativesand multiple integrals, extremum problems,line and surface integrals, Green’s andStokes’s theorems. Emphasis on techniquesand applications. Usually offered everysemester.Staff (fall) and Mr. Ruberman (spring)

MATH 21a Intermediate Calculus: LinearMATH 21a Intermediate Calculus: LinearMATH 21a Intermediate Calculus: LinearMATH 21a Intermediate Calculus: LinearMATH 21a Intermediate Calculus: LinearAlgebra and Calculus of Several Variables,Algebra and Calculus of Several Variables,Algebra and Calculus of Several Variables,Algebra and Calculus of Several Variables,Algebra and Calculus of Several Variables,Part IPart IPart IPart IPart I[ sn ]Prerequisite: MATH 10a,b or placement byexamination. Students intending to take thecourse should consult the instructor or theundergraduate administrator. Students maynot take more than one of MATH 15a, 21a,and 22a for credit.MATH 21a and 21b cover calculus ofseveral variables for those with a seriousinterest in mathematics. The course startswith an introduction to linear algebra andthen discusses various important topics invector calculus, including directionalderivatives, Jacobian matrices, multipleintegrals, line integrals and surfaceintegrals, and differential equations.Usually offered every year.Mr. Ruberman

MATH 21b Intermediate Calculus: LinearMATH 21b Intermediate Calculus: LinearMATH 21b Intermediate Calculus: LinearMATH 21b Intermediate Calculus: LinearMATH 21b Intermediate Calculus: LinearAlgebra and Calculus of Several Variables,Algebra and Calculus of Several Variables,Algebra and Calculus of Several Variables,Algebra and Calculus of Several Variables,Algebra and Calculus of Several Variables,Part IIPart IIPart IIPart IIPart II[ sn ]Prerequisite: MATH 21a or permission ofthe instructor. Students may not take morethan one of MATH 20a, 21b, and 22b forcredit.See MATH 21a for special notes and coursedescription. Usually offered every year.Mr. Kleinbock

MATH 22a Linear Algebra and IntermediateMATH 22a Linear Algebra and IntermediateMATH 22a Linear Algebra and IntermediateMATH 22a Linear Algebra and IntermediateMATH 22a Linear Algebra and IntermediateCalculus, Part ICalculus, Part ICalculus, Part ICalculus, Part ICalculus, Part I[ sn ]Prerequisite: MATH 10a,b or placement byexamination. Students intending to take thecourse should consult with the instructor orthe undergraduate administrator. Studentsmay not take more than one of MATH 15a,21a, or 22a for credit.MATH 22a and 22b cover linear algebra andcalculus of several variables. The materialis similar to that of MATH 21a and MATH21b, but with a more theoretical emphasisand with more attention to proofs. Usuallyoffered every year.Mr. Schwarz

MATH 22b Linear Algebra and IntermediateMATH 22b Linear Algebra and IntermediateMATH 22b Linear Algebra and IntermediateMATH 22b Linear Algebra and IntermediateMATH 22b Linear Algebra and IntermediateCalculus, Part IICalculus, Part IICalculus, Part IICalculus, Part IICalculus, Part II[ sn ]Prerequisite: MATH 22a or permission ofthe instructor. Students may not take morethan one of MATH 20a, 21b, or 22b forcredit.See MATH 22a for course description.Usually offered every year.Mr. Schwarz

MATH 23b Introduction to ProofsMATH 23b Introduction to ProofsMATH 23b Introduction to ProofsMATH 23b Introduction to ProofsMATH 23b Introduction to Proofs[ sn wi ]Prerequisites: MATH 15a, 20a, 21a, 22a, orpermission of the instructor.Emphasizes the analysis and writing ofproofs. Various techniques of proof areintroduced and illustrated with topicschosen from set theory, calculus, algebra,and geometry. Usually offered everysemester.Staff (fall)Ms. Charney (spring)

MATH 28a Introduction to GroupsMATH 28a Introduction to GroupsMATH 28a Introduction to GroupsMATH 28a Introduction to GroupsMATH 28a Introduction to Groups[ sn ]Prerequisites: MATH 23b and either MATH15a, 21a, 22a, or permission of theinstructor.Groups. Lagrange’s theorem. Modulo naddition and multiplication. Matrix groupsand permutation groups. Homomorphisms,normal subgroups, cosets, and factor groups.Usually offered every year.Staff

MATH 28b Introduction to Rings and FieldsMATH 28b Introduction to Rings and FieldsMATH 28b Introduction to Rings and FieldsMATH 28b Introduction to Rings and FieldsMATH 28b Introduction to Rings and Fields[ sn ]Prerequisites: MATH 23b and either MATH15a, 21a, 22a, or permission of theinstructor.Fields. Z/p and other finite fields.Commutative rings. Polynomial rings andsubrings of C. Euclidean rings. The quotientring A/(f). Polynomials over Z. Usuallyoffered every year.Staff

MATH 30a Introduction to Algebra, Part IMATH 30a Introduction to Algebra, Part IMATH 30a Introduction to Algebra, Part IMATH 30a Introduction to Algebra, Part IMATH 30a Introduction to Algebra, Part I[ sn ]Prerequisite: MATH 23b and either MATH21a, 22a, or permission of the instructor.An introduction to the basic notions ofmodern algebra—rings, fields, and linearalgebra. Usually offered every year.Mr. Igusa

259

MATH 30b Introduction to Algebra, Part IIMATH 30b Introduction to Algebra, Part IIMATH 30b Introduction to Algebra, Part IIMATH 30b Introduction to Algebra, Part IIMATH 30b Introduction to Algebra, Part II[ sn ]Prerequisite: MATH 30a or permission ofthe instructor.A continuation of MATH 30a, culminatingin Galois theory. Usually offered every year.Mr. Igusa

MATH 32a Differential GeometryMATH 32a Differential GeometryMATH 32a Differential GeometryMATH 32a Differential GeometryMATH 32a Differential Geometry[ sn ]Prerequisite: MATH 23b and either MATH21b, 22b, or permission of the instructor.Results in the classical differentialgeometry of curves and surfaces is studiedtheoretically and also implemented ascomputer algorithms. Static images andanimations of geometrical objects areillustrated using the mathematicalvisualization program 3D-XplorMath.Computer projects involving MathLab andMathematica are important components ofthe course, and for those without priorexperience in using these programmingsystems, appropriate training is provided.Usually offered every second year.Staff

MATH 34a Introduction to TopologyMATH 34a Introduction to TopologyMATH 34a Introduction to TopologyMATH 34a Introduction to TopologyMATH 34a Introduction to Topology[ sn ]Prerequisite: MATH 23b and either MATH21a and b, 22a and b, or permission of theinstructor.An introduction to point set topology,covering spaces, and the fundamentalgroup. Usually offered every second year.Staff

MATH 35a Advanced CalculusMATH 35a Advanced CalculusMATH 35a Advanced CalculusMATH 35a Advanced CalculusMATH 35a Advanced Calculus[ sn ]Prerequisites: MATH 15a, 21a, or 22a andMATH 20a, 21b or 22b.Infinite series: convergence tests, powerseries, and Fourier series. Improperintegrals: convergence tests, the gammafunction, Fourier and Laplace transforms.Complex numbers. Usually offered everyyear.Mr. Adler

MATH 36a ProbabilityMATH 36a ProbabilityMATH 36a ProbabilityMATH 36a ProbabilityMATH 36a Probability[ qr sn ]Prerequisite: MATH 20a, 21b or 22b.Sample spaces and probability measures,elementary combinatorial examples.Random variables, expectations, variance,characteristic, and distribution functions.Independence and correlation. Chebychev’sinequality and the weak law of largenumbers. Central limit theorem. Markovand Poisson processes. Usually offeredevery year.Mr. Kleinbock

MATH 36b Mathematical StatisticsMATH 36b Mathematical StatisticsMATH 36b Mathematical StatisticsMATH 36b Mathematical StatisticsMATH 36b Mathematical Statistics[ qr sn ]Prerequisite: MATH 36a or permission ofthe instructor.Probability distributions, estimators,hypothesis testing, data analysis. Theoremswill be proved and applied to real data.Topics include maximum likelihoodestimators, the information inequality, chi-square test, and analysis of variance.Usually offered every year.Mr. Adler

MATH 37a Differential EquationsMATH 37a Differential EquationsMATH 37a Differential EquationsMATH 37a Differential EquationsMATH 37a Differential Equations[ sn ]Prerequisite: MATH 15a, 21a or 22a andMATH 20a, 21b or 22b.A first course in ordinary differentialequations. Study of general techniques,with a view to solving specific problemssuch as the brachistochrone problem, thehanging chain problem, the motion of theplanets, the vibrating string, Gauss’shypergeometric equation, the Volterrapredator-prey model, isoperimetricproblems, and the Abel mechanicalproblem. Usually offered every year.Staff

MATH 38b Number TheoryMATH 38b Number TheoryMATH 38b Number TheoryMATH 38b Number TheoryMATH 38b Number Theory[ sn ]Prerequisite: MATH 23b and either MATH21a, 22a, or permission of the instructor.Congruences, finite fields, the Gaussianintegers, and other rings of numbers.Quadratic reciprocity. Such topics asquadratic forms or elliptic curves will becovered as time permits. Usually offeredevery second year.Mr. Monsky

MATH 39a Introduction to CombinatoricsMATH 39a Introduction to CombinatoricsMATH 39a Introduction to CombinatoricsMATH 39a Introduction to CombinatoricsMATH 39a Introduction to Combinatorics[ sn ]Prerequisites: COSI 29a or MATH 23bTopics include graph theory (trees,planarity, coloring, Eulerian andHamiltonian cycles), combinatorialoptimization (network flows, matchingtheory), enumeration (permutations andcombinations, generating functions,inclusion-exclusion), and extremalcombinatorics (pigeonhole principle,Ramsey’s theorem). Usually offered everysecond year.Staff

MATH 40a Introduction to Real Analysis,MATH 40a Introduction to Real Analysis,MATH 40a Introduction to Real Analysis,MATH 40a Introduction to Real Analysis,MATH 40a Introduction to Real Analysis,Part IPart IPart IPart IPart I[ sn ]Prerequisites: MATH 23b and either MATH21a and b, 22a and b, or permission of theinstructor.MATH 40a and 40b give a rigorousintroduction to metric space topology,continuity, derivatives, and Riemann andLebesgue integrals. Usually offered everyyear.Mr. Levine

MATH 40b Introduction to Real Analysis,MATH 40b Introduction to Real Analysis,MATH 40b Introduction to Real Analysis,MATH 40b Introduction to Real Analysis,MATH 40b Introduction to Real Analysis,Part IIPart IIPart IIPart IIPart II[ sn ]Prerequisite: MATH 40a or permission ofthe instructor.See MATH 40a for course description.Usually offered every year.Mr. Tamvakis

MATH 45a Introduction to ComplexMATH 45a Introduction to ComplexMATH 45a Introduction to ComplexMATH 45a Introduction to ComplexMATH 45a Introduction to ComplexAnalysisAnalysisAnalysisAnalysisAnalysis[ sn ]Prerequisites: MATH 15a, 21a, or 22a andMATH 20a, 21b, or 22b and MATH 23b orpermission of the instructor.An introduction to functions of a complexvariable. Topics include analytic functions,line integrals, power series, residues,conformal mappings. Usually offered everyyear.Mr. Mayer

MATH 47a Introduction to MathematicalMATH 47a Introduction to MathematicalMATH 47a Introduction to MathematicalMATH 47a Introduction to MathematicalMATH 47a Introduction to MathematicalResearchResearchResearchResearchResearch[ sn ]Prerequisite: MATH 23b or permission ofthe instructor.Students work on research projects thatinvolve generating data, makingconjectures, and proving theorems, andpresent their results orally and in writing.Introduces applications of computers inmathematical research: symboliccomputation, typesetting, and literaturesearch. Usually offered every third year.Staff

MATH 98a Independent ResearchMATH 98a Independent ResearchMATH 98a Independent ResearchMATH 98a Independent ResearchMATH 98a Independent ResearchUsually offered every year.Staff

MATH 98b Independent ResearchMATH 98b Independent ResearchMATH 98b Independent ResearchMATH 98b Independent ResearchMATH 98b Independent ResearchUsually offered every year.Staff


Undergraduate students should consultwith the instructor regarding the requiredbackground for each course.

MATH 101a Algebra IMATH 101a Algebra IMATH 101a Algebra IMATH 101a Algebra IMATH 101a Algebra I[ sn ]Groups, rings, modules, Galois theory,affine rings, and rings of algebraic numbers.Multilinear algebra. The Wedderburntheorems. Other topics as time permits.Usually offered every year.Mr. Diamond

MATH 101b Algebra IIMATH 101b Algebra IIMATH 101b Algebra IIMATH 101b Algebra IIMATH 101b Algebra II[ sn ]Continuation of MATH 101a. Usuallyoffered every year.Mr. Monsky

MATH 110a Geometric AnalysisMATH 110a Geometric AnalysisMATH 110a Geometric AnalysisMATH 110a Geometric AnalysisMATH 110a Geometric Analysis[ sn ]Manifolds, tensor bundles, vector fields,and differential forms. Frobenius theorem.Integration, Stokes’s theorem, anddeRham’s theorem. Usually offered everyyear.Mr. Adler

Mathematics

260

MATH 110b Differential GeometryMATH 110b Differential GeometryMATH 110b Differential GeometryMATH 110b Differential GeometryMATH 110b Differential Geometry[ sn ]Riemannian metrics, parallel transport,geodesics, curvature. Introduction to Liegroups and Lie algebras, vector bundles andprincipal bundles. Usually offered everyyear.Staff

MATH 111a Real AnalysisMATH 111a Real AnalysisMATH 111a Real AnalysisMATH 111a Real AnalysisMATH 111a Real Analysis[ sn ]Measure and integration. Lp spaces, Banachspaces, Hilbert spaces. Radon-Nikodym,Riesz representation, and Fubini theorems.Fourier transforms. Usually offered everyyear.Mr. Mayer

MATH 111b Complex AnalysisMATH 111b Complex AnalysisMATH 111b Complex AnalysisMATH 111b Complex AnalysisMATH 111b Complex Analysis[ sn ]The Cauchy integral theorem, calculus ofresidues, and maximum modulus principle.Harmonic functions. The Riemann mappingtheorem and conformal mappings. Othertopics as time permits. Usually offeredevery year.Mr. Tamvakis

MATH 121a Topology IMATH 121a Topology IMATH 121a Topology IMATH 121a Topology IMATH 121a Topology I[ sn ]Fundamental group, covering spaces. Cellcomplexes, homology and cohomologytheory, with applications. Usually offeredevery year.Ms. Charney

MATH 121b Topology IIMATH 121b Topology IIMATH 121b Topology IIMATH 121b Topology IIMATH 121b Topology II[ sn ]Continuation of MATH 121a. Manifoldsand orientation, cup and cap products,Poincare duality. Other topics as timepermits. Usually offered every year.Mr. Ruberman

MATH 150a Combinatorics IMATH 150a Combinatorics IMATH 150a Combinatorics IMATH 150a Combinatorics IMATH 150a Combinatorics I[ sn ]Emphasis on enumerative combinatorics.Generating functions and their applicationsto counting graphs, paths, permutations,and partitions. Bijective counting,combinatorial identities, Lagrange inversionand Mobius inversion. Usually offered everysecond year.Staff

MATH 150b Combinatorics IIMATH 150b Combinatorics IIMATH 150b Combinatorics IIMATH 150b Combinatorics IIMATH 150b Combinatorics II[ sn ]Representations of finite groups, withemphasis on symmetric groups. Symmetricfunctions, Polya’s theory of enumerationunder group action, and combinatorialspecies. Usually offered every third year.Mr. Gessel

Mathematics

(200 and above) Primarily for(200 and above) Primarily for(200 and above) Primarily for(200 and above) Primarily for(200 and above) Primarily forGraduate StudentsGraduate StudentsGraduate StudentsGraduate StudentsGraduate Students

All graduate-level courses will haveorganizational meetings the first week ofclasses.

MATH 200a Second-Year SeminarMATH 200a Second-Year SeminarMATH 200a Second-Year SeminarMATH 200a Second-Year SeminarMATH 200a Second-Year SeminarA course for second-year students in thePh.D. program designed to provide exposureto current research and practice in givingseminar talks. Students read recent journalarticles and preprints and present thematerial. Usually offered every year.Mr. Diamond

MATH 201a Topics in Algebra IMATH 201a Topics in Algebra IMATH 201a Topics in Algebra IMATH 201a Topics in Algebra IMATH 201a Topics in Algebra IIntroduction to a field of algebra. Possibletopics include representation theory, vertexalgebras, commutative algebra. Usuallyoffered every second year.Mr. Schwarz

MATH 201b Topics in Algebra IIMATH 201b Topics in Algebra IIMATH 201b Topics in Algebra IIMATH 201b Topics in Algebra IIMATH 201b Topics in Algebra IIA continuation of MATH 201a.Staff

MATH 202a Algebraic Geometry IMATH 202a Algebraic Geometry IMATH 202a Algebraic Geometry IMATH 202a Algebraic Geometry IMATH 202a Algebraic Geometry IVarieties and schemes. Cohomology theory.Curves and surfaces. Usually offered everyyear.Mr. Diamond

MATH 202b Algebraic Geometry IIMATH 202b Algebraic Geometry IIMATH 202b Algebraic Geometry IIMATH 202b Algebraic Geometry IIMATH 202b Algebraic Geometry IIContinuation of MATH 202a. Usuallyoffered every year.Mr. Diamond

MATH 203a Number TheoryMATH 203a Number TheoryMATH 203a Number TheoryMATH 203a Number TheoryMATH 203a Number TheoryBasic algebraic number theory (numberfields, ramification theory, class groups,Dirichlet unit theorem), zeta and L-functions (Riemann zeta function, DirichletL-functions, primes in arithmeticprogressions, prime number theorem).Usually offered every year.Staff

MATH 203b Topics in Number TheoryMATH 203b Topics in Number TheoryMATH 203b Topics in Number TheoryMATH 203b Topics in Number TheoryMATH 203b Topics in Number TheoryPossible topics include class field theory,cyclotomic fields, modular forms, analyticnumber theory, ergodic number theory.Usually offered every second year.Mr. Monsky

MATH 204a T.A. PracticumMATH 204a T.A. PracticumMATH 204a T.A. PracticumMATH 204a T.A. PracticumMATH 204a T.A. PracticumTeaching elementary mathematics coursesis a subtle and difficult art, involving manyskills besides those that makemathematicians good at proving theorems.This course focuses on the development andsupport of teaching skills. The main featureis individual observation of the graduatestudent by the practicum teacher, whoprovides written criticism of, andconsultation on, classroom teachingpractices. Usually offered every year.Mr. Tamvakis

MATH 211a Topics in DifferentialMATH 211a Topics in DifferentialMATH 211a Topics in DifferentialMATH 211a Topics in DifferentialMATH 211a Topics in DifferentialGeometry and Analysis IGeometry and Analysis IGeometry and Analysis IGeometry and Analysis IGeometry and Analysis IPossible topics include complex manifolds,elliptic operators, index theory, randommatrix theory, integrable systems. Usuallyoffered every year.Mr. Kleinbock

MATH 211b Topics in DifferentialMATH 211b Topics in DifferentialMATH 211b Topics in DifferentialMATH 211b Topics in DifferentialMATH 211b Topics in DifferentialGeometry and Analysis IIGeometry and Analysis IIGeometry and Analysis IIGeometry and Analysis IIGeometry and Analysis IIA continuation of MATH 211a.Mr. Kleinbock

MATH 221a Topology IIIMATH 221a Topology IIIMATH 221a Topology IIIMATH 221a Topology IIIMATH 221a Topology IIIVector bundles and characteristic classes.Elementary homotopy theory andobstruction theory. Cobordism andtransversality; other topics as time permits.Usually offered every year.Mr. Ruberman

MATH 221a Topics in TopologyMATH 221a Topics in TopologyMATH 221a Topics in TopologyMATH 221a Topics in TopologyMATH 221a Topics in TopologyStaff

MATH 221b Topology IVMATH 221b Topology IVMATH 221b Topology IVMATH 221b Topology IVMATH 221b Topology IVTopics in topology and geometry. In recentyears, topics have included knot theory,symplectic and contact topology, gaugetheory, and three-dimensional topology.Usually offered every year.Mr. Levine

MATH 224a Topics in Lie Theory andMATH 224a Topics in Lie Theory andMATH 224a Topics in Lie Theory andMATH 224a Topics in Lie Theory andMATH 224a Topics in Lie Theory andRepresentation Theory IRepresentation Theory IRepresentation Theory IRepresentation Theory IRepresentation Theory IPossible topics include Lie algebras,algebraic groups, symmetric spaces,automorphic representations. Usuallyoffered every second year.Mr. Schwarz

MATH 224b Topics in Lie Theory andMATH 224b Topics in Lie Theory andMATH 224b Topics in Lie Theory andMATH 224b Topics in Lie Theory andMATH 224b Topics in Lie Theory andRepresentation Theory IIRepresentation Theory IIRepresentation Theory IIRepresentation Theory IIRepresentation Theory IIA continuation of MATH 224a.Staff

MATH 250a Riemann SurfacesMATH 250a Riemann SurfacesMATH 250a Riemann SurfacesMATH 250a Riemann SurfacesMATH 250a Riemann SurfacesAn introductory course on Riemannsurfaces. Usually offered every third year.Staff

MATH 299a Readings in MathematicsMATH 299a Readings in MathematicsMATH 299a Readings in MathematicsMATH 299a Readings in MathematicsMATH 299a Readings in MathematicsStaff

MATH 299b Readings in MathematicsMATH 299b Readings in MathematicsMATH 299b Readings in MathematicsMATH 299b Readings in MathematicsMATH 299b Readings in MathematicsStaff

MATH 301a Further Topics in AlgebraMATH 301a Further Topics in AlgebraMATH 301a Further Topics in AlgebraMATH 301a Further Topics in AlgebraMATH 301a Further Topics in AlgebraMr. Schwarz

MATH 302a Topics in Algebraic GeometryMATH 302a Topics in Algebraic GeometryMATH 302a Topics in Algebraic GeometryMATH 302a Topics in Algebraic GeometryMATH 302a Topics in Algebraic GeometryStaff

MATH 302b Topics in Algebraic GeometryMATH 302b Topics in Algebraic GeometryMATH 302b Topics in Algebraic GeometryMATH 302b Topics in Algebraic GeometryMATH 302b Topics in Algebraic GeometryStaff

MATH 311a Further Topics in AnalysisMATH 311a Further Topics in AnalysisMATH 311a Further Topics in AnalysisMATH 311a Further Topics in AnalysisMATH 311a Further Topics in AnalysisMr. Van Moerbeke

261

MATH 326a Topics in MathematicsMATH 326a Topics in MathematicsMATH 326a Topics in MathematicsMATH 326a Topics in MathematicsMATH 326a Topics in MathematicsStaff

MATH 399a Readings in MathematicsMATH 399a Readings in MathematicsMATH 399a Readings in MathematicsMATH 399a Readings in MathematicsMATH 399a Readings in MathematicsStaff

MATH 399b Readings in MathematicsMATH 399b Readings in MathematicsMATH 399b Readings in MathematicsMATH 399b Readings in MathematicsMATH 399b Readings in MathematicsStaff

MATH 401d ResearchMATH 401d ResearchMATH 401d ResearchMATH 401d ResearchMATH 401d ResearchIndependent research for the Ph.D. degree.Specific sections for individual facultymembers as requested.Staff

Mathematics

Cross-Listed CoursesCross-Listed CoursesCross-Listed CoursesCross-Listed CoursesCross-Listed Courses

BIOL 51aBIOL 51aBIOL 51aBIOL 51aBIOL 51aBiostatistics

ECON 184bECON 184bECON 184bECON 184bECON 184bEconometrics

PHIL 106bPHIL 106bPHIL 106bPHIL 106bPHIL 106bMathematical Logic

PHYS 110aPHYS 110aPHYS 110aPHYS 110aPHYS 110aMathematical Physics

Courses of Related InterestCourses of Related InterestCourses of Related InterestCourses of Related InterestCourses of Related Interest

PHIL 38bPHIL 38bPHIL 38bPHIL 38bPHIL 38bPhilosophy of Mathematics

An interdepartmental program

Medieval and Renaissance StudiesCourses of Study:Minor


The Medieval and Renaissance Studies Program providesstudents with a broad introduction to the development ofwestern civilization from the end of antiquity to the 17thcentury. It is founded on the principle that an interdisciplinaryperspective is the most profitable way to gain an understandingof the formation of early modern Europe. In order to develop amultifaceted picture of the Middle Ages and the Renaissance, allstudents select one of two core courses in history, and they areencouraged to explore a variety of disciplinary perspectivesprovided by various national literatures, fine arts, andphilosophies. The exact balance of these approaches depends on astudent’s interest. The program offers a useful complement tomany majors, and it is a good foundation to graduate study in avariety of fields.

How to Become a MinorHow to Become a MinorHow to Become a MinorHow to Become a MinorHow to Become a Minor

The most important requirement for taking part in the program is aninterest in the Middle Ages and the Renaissance. Students may enterthe program at any time in their undergraduate careers, but an earlystart maximizes a student’s range of choice because a number ofcourses are offered at different intervals. Students should consultwith their advisor and the chair of the program to map out theirparticular plan of study.


Charles McClendon, ChairCharles McClendon, ChairCharles McClendon, ChairCharles McClendon, ChairCharles McClendon, Chair(Fine Arts)

Bernadette BrootenBernadette BrootenBernadette BrootenBernadette BrootenBernadette Brooten(Near Eastern and Judaic Studies)

Mary CampbellMary CampbellMary CampbellMary CampbellMary Campbell(English and American Literature)

Jonathan DecterJonathan DecterJonathan DecterJonathan DecterJonathan Decter(Near Eastern and Judaic Studies)

William FleschWilliam FleschWilliam FleschWilliam FleschWilliam Flesch(English and American Literature)

Dian FoxDian FoxDian FoxDian FoxDian Fox(Romance and Comparative Literature)

William KapelleWilliam KapelleWilliam KapelleWilliam KapelleWilliam Kapelle(History)

Richard LansingRichard LansingRichard LansingRichard LansingRichard Lansing(Romance and Comparative Literature)

Avigdor LevyAvigdor LevyAvigdor LevyAvigdor LevyAvigdor Levy(Near Eastern and Judaic Studies)

Joan MalingJoan MalingJoan MalingJoan MalingJoan Maling(Linguistics and Psychology)

Michael McGradeMichael McGradeMichael McGradeMichael McGradeMichael McGrade(Music)

Sarah Mead-RamseySarah Mead-RamseySarah Mead-RamseySarah Mead-RamseySarah Mead-Ramsey(Music)

Jessie Ann OwensJessie Ann OwensJessie Ann OwensJessie Ann OwensJessie Ann Owens(Music)

Michael RandallMichael RandallMichael RandallMichael RandallMichael Randall(Romance and Comparative Literature)

Benjamin RavidBenjamin RavidBenjamin RavidBenjamin RavidBenjamin Ravid(Near Eastern and Judaic Studies)

Govind SreenivasanGovind SreenivasanGovind SreenivasanGovind SreenivasanGovind Sreenivasan(History)

Ramie TargoffRamie TargoffRamie TargoffRamie TargoffRamie Targoff(English and American Literature)

Jonathan UnglaubJonathan UnglaubJonathan UnglaubJonathan UnglaubJonathan Unglaub(Fine Arts)

Cheryl WalkerCheryl WalkerCheryl WalkerCheryl WalkerCheryl Walker(Classical Studies)

262

Requirements for the MinorRequirements for the MinorRequirements for the MinorRequirements for the MinorRequirements for the Minor

A.A.A.A.A. Core Course: HIST 110b (The Civilization of the High andLate Middle Ages) or HIST 123a (The Renaissance).

B.B.B.B.B. Students in the program must complete the Universitylanguage requirement in one of the following: French, Italian,Spanish, German, Latin, Greek, Russian, Arabic, or Hebrew.

C.C.C.C.C. Four other courses from the program listing. In order topromote an interdisciplinary approach to the study of the MiddleAges and the Renaissance, two of these courses should be in twodifferent fields other than history.

Medieval and Renaissance Studies

D.D.D.D.D. In addition, the completion of one semester of independent study(MEVL 98a or b), under the direction of one or more members of theprogram faculty, requiring completion of a research paper; orparticipation in a program seminar or colloquium, when offered; or asenior thesis in the student’s major, with an emphasis on some aspectof medieval or Renaissance studies and read by at least two facultymembers in the program.

Special NotesSpecial NotesSpecial NotesSpecial NotesSpecial Notes

Please note that MUS 10a and 10b yield half-course credit each,therefore two semesters of MUS 10 are required to equal one full-semester course, i.e., one elective course.


(((((1-99) Primarily for Undergraduate1-99) Primarily for Undergraduate1-99) Primarily for Undergraduate1-99) Primarily for Undergraduate1-99) Primarily for UndergraduateStudentsStudentsStudentsStudentsStudents

MEVL 98a Independent StudyMEVL 98a Independent StudyMEVL 98a Independent StudyMEVL 98a Independent StudyMEVL 98a Independent StudyUsually offered every year.Staff

MEVL 98b Independent StudyMEVL 98b Independent StudyMEVL 98b Independent StudyMEVL 98b Independent StudyMEVL 98b Independent StudyUsually offered every year.Staff

ElectivesElectivesElectivesElectivesElectives

CLAS 115bCLAS 115bCLAS 115bCLAS 115bCLAS 115bTopics in Greek and Roman History

CLAS 166aCLAS 166aCLAS 166aCLAS 166aCLAS 166aMedieval Literature: A Millennium of God,Sex, and Death

COML 102aCOML 102aCOML 102aCOML 102aCOML 102aLove in the Middle Ages

ENG 33aENG 33aENG 33aENG 33aENG 33aShakespeare

ENG 43aENG 43aENG 43aENG 43aENG 43aMajor English Authors, Chaucer to Milton

ENG 63aENG 63aENG 63aENG 63aENG 63aRenaissance Poetry

ENG 132bENG 132bENG 132bENG 132bENG 132bChaucer I

ENG 133aENG 133aENG 133aENG 133aENG 133aAdvanced Shakespeare

ENG 142bENG 142bENG 142bENG 142bENG 142bIntroduction to Old Norse

ENG 143aENG 143aENG 143aENG 143aENG 143aElizabethan and Jacobean Drama

ENG 152bENG 152bENG 152bENG 152bENG 152bArthurian Literature

ENG 173aENG 173aENG 173aENG 173aENG 173aSpenser and Milton

FA 40bFA 40bFA 40bFA 40bFA 40bThe Formation of Jewish, Christian, andIslamic Art

FA 41aFA 41aFA 41aFA 41aFA 41aArt and the Origins of Europe

FA 42bFA 42bFA 42bFA 42bFA 42bThe Age of Cathedrals

FA 43aFA 43aFA 43aFA 43aFA 43aThe Art of Medieval England

FA 45aFA 45aFA 45aFA 45aFA 45aSt. Peter’s and the Vatican

FA 51aFA 51aFA 51aFA 51aFA 51aArt of the Early Renaissance in Italy

FA 54bFA 54bFA 54bFA 54bFA 54bRenaissance Art in Northern Europe

FA 58bFA 58bFA 58bFA 58bFA 58bHigh and Late Renaissance in Italy

FA 60aFA 60aFA 60aFA 60aFA 60aBaroque in Italy and Spain

FA 63aFA 63aFA 63aFA 63aFA 63aThe Age of Rubens and Rembrandt

FA 191bFA 191bFA 191bFA 191bFA 191bStudies in Renaissance and Baroque Art

FREN 120aFREN 120aFREN 120aFREN 120aFREN 120aThe French Middle Ages

FREN 122bFREN 122bFREN 122bFREN 122bFREN 122bThe Renaissance

HIST 110aHIST 110aHIST 110aHIST 110aHIST 110aThe Civilization of the Early Middle Ages

HIST 110bHIST 110bHIST 110bHIST 110bHIST 110bThe Civilization of the High and LateMiddle Ages

HIST 112bHIST 112bHIST 112bHIST 112bHIST 112bThe Crusades and the Expansion ofMedieval Europe

HIST 113aHIST 113aHIST 113aHIST 113aHIST 113aEnglish Medieval History

HIST 120aHIST 120aHIST 120aHIST 120aHIST 120aBritain in the Later Middle Ages

HIST 123aHIST 123aHIST 123aHIST 123aHIST 123aThe Renaissance

HIST 123bHIST 123bHIST 123bHIST 123bHIST 123bReformation Europe (1400-1600)

HIST 126aHIST 126aHIST 126aHIST 126aHIST 126aEarly Modern Europe (1500-1700)

HIST 127bHIST 127bHIST 127bHIST 127bHIST 127bHousehold and Family in Late Medieval andEarly Modern Europe (1300-1800)

IECS 140aIECS 140aIECS 140aIECS 140aIECS 140aDante’s Divine Comedy

IMES 104aIMES 104aIMES 104aIMES 104aIMES 104aIslam: Civilization and Institutions

LAT 125aLAT 125aLAT 125aLAT 125aLAT 125aMedieval Latin

MUS 10aMUS 10aMUS 10aMUS 10aMUS 10aEarly Music Ensemble

MUS 10bMUS 10bMUS 10bMUS 10bMUS 10bEarly Music Ensemble

MUS 110bMUS 110bMUS 110bMUS 110bMUS 110bThe Authenticity Question: ApplyingHistorical Performance Practices

MUS 121aMUS 121aMUS 121aMUS 121aMUS 121aHistory of Music to 1700

MUS 128bMUS 128bMUS 128bMUS 128bMUS 128bMusical Life in the Middle Ages andRenaissance

NEJS 140aNEJS 140aNEJS 140aNEJS 140aNEJS 140aHistory of the Jews from the Maccabees to1497

NEJS 151bNEJS 151bNEJS 151bNEJS 151bNEJS 151bGhettos, Gondolas, and Gelato: The ItalianJewish Experience

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NEJS 152aNEJS 152aNEJS 152aNEJS 152aNEJS 152aFrom Inquisition to Holocaust

NEJS 152bNEJS 152bNEJS 152bNEJS 152bNEJS 152bAnti-Judaism, Antisemitism, and Anti-Zionism

NEJS 188aNEJS 188aNEJS 188aNEJS 188aNEJS 188aThe Rise and Decline of the OttomanEmpire, 1300-1800

SECS 150aSECS 150aSECS 150aSECS 150aSECS 150aGolden Age Drama and Society

SPAN 110aSPAN 110aSPAN 110aSPAN 110aSPAN 110aIntroduction to Peninsular SpanishLiterature

SPAN 120bSPAN 120bSPAN 120bSPAN 120bSPAN 120bDon Quijote

SPAN 125bSPAN 125bSPAN 125bSPAN 125bSPAN 125bLiterary Women in Early Modern Spain

Medieval and Renaissance Studies

A graduate program

Molecular and Cell BiologyCourses of Study:Master of ScienceDoctor of Philosophy


The Graduate Program in Molecular and Cell Biology, leading tothe degree of Doctor of Philosophy, is designed to provide eachstudent with the theoretical foundations and research experienceneeded to become an independent and original investigator ofbasic biological phenomena. Preparation is achieved through thecombination of (1) a flexible curriculum of courses tailored foreach student’s specific needs, (2) a set of laboratory rotations thatacquaints each entering student with current research techniquesand permits exploration of possible research areas, and (3) aproseminar specifically for first-year students and a series ofjournal clubs that keep students abreast of significant researchfindings and develops confidence with reading research literatureand giving oral presentations. First-year students participate inall three aspects of our graduate program and are thus quicklyintegrated into the biological research community at Brandeis. Astrength of our program is frequent interactions betweenstudents and faculty, formal and informal.

Thesis research leading to the Ph.D. degree is carried out underthe personal direction of a faculty member. A complete list offaculty research interests and recent publications can be viewedon the World Wide Web at www.bio.brandeis.edu. Potentialapplicants are urged to obtain this information. As a generalorientation, the following areas of research are among thoserepresented in the program: molecular biology of the regulationof gene expression; chromosome structure and chromosomalrearrangements; mechanisms of recombination; developmentalgenetics; behavioral genetics and neural development; biophysicsof single nerve cells; learning and memory; integration of neuralfunction; immunogenetics; immune cell differentiation anddevelopment; molecular biology of the immune system;regulation of muscle contraction; molecular and cellarchitecture; organization of subcellular structures; structure andfunction of proteins.

How to Be Admitted to the Graduate ProgramHow to Be Admitted to the Graduate ProgramHow to Be Admitted to the Graduate ProgramHow to Be Admitted to the Graduate ProgramHow to Be Admitted to the Graduate Program

The general requirements for admission to the Graduate School, givenin an earlier section of this Bulletin, apply to candidates foradmission to this area of study. The student’s undergraduate recordshould ordinarily include courses equivalent to those required ofundergraduates concentrating in biology at this institution. Studentswho are deficient in some of these subjects, but whose records areotherwise superior, may make up their deficiencies while they areenrolled as graduate students. In exceptional cases, students may beexcused from some of these requirements. Students with seriousdeficiencies must, however, expect to add additional time to theirgraduate program in order to satisfy the deficiencies.

Applicants must take the Graduate Record Examination.

Since the summer months provide an important opportunity foruninterrupted laboratory work, the Molecular and Cell BiologyProgram provides 12-month stipend support for all full-time Ph.D.students.

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Kalpana White, Chair of the Department ofKalpana White, Chair of the Department ofKalpana White, Chair of the Department ofKalpana White, Chair of the Department ofKalpana White, Chair of the Department ofBiology (Volen National Center forBiology (Volen National Center forBiology (Volen National Center forBiology (Volen National Center forBiology (Volen National Center forComplex Systems)Complex Systems)Complex Systems)Complex Systems)Complex Systems)Developmental neurogenetics.

Susan Birren (Volen National Center forSusan Birren (Volen National Center forSusan Birren (Volen National Center forSusan Birren (Volen National Center forSusan Birren (Volen National Center forComplex Systems)Complex Systems)Complex Systems)Complex Systems)Complex Systems)Developmental neurobiology.

Carolyn Cohen (Rosenstiel Center)Carolyn Cohen (Rosenstiel Center)Carolyn Cohen (Rosenstiel Center)Carolyn Cohen (Rosenstiel Center)Carolyn Cohen (Rosenstiel Center)Structural molecular biology.

David DeRosier, Graduate Advising HeadDavid DeRosier, Graduate Advising HeadDavid DeRosier, Graduate Advising HeadDavid DeRosier, Graduate Advising HeadDavid DeRosier, Graduate Advising Head(Rosenstiel Center)(Rosenstiel Center)(Rosenstiel Center)(Rosenstiel Center)(Rosenstiel Center)Structural studies of actin, actin-containingcytoskeletal assemblies, and bacterialflagella.

Chandler FultonChandler FultonChandler FultonChandler FultonChandler FultonCell differentiation and selective geneexpression in eucaryotic cells.Morphogenesis of cell shape and assemblyof cell organelles, especially flagella.

Bruce Goode (Rosenstiel Center)Bruce Goode (Rosenstiel Center)Bruce Goode (Rosenstiel Center)Bruce Goode (Rosenstiel Center)Bruce Goode (Rosenstiel Center)Biochemistry and genetics of yeastcytoskeleton.

Leslie Griffith (Volen National Center forLeslie Griffith (Volen National Center forLeslie Griffith (Volen National Center forLeslie Griffith (Volen National Center forLeslie Griffith (Volen National Center forComplex Systems)Complex Systems)Complex Systems)Complex Systems)Complex Systems)Biochemistry of synaptic plasticity.

James Haber (Rosenstiel Center)James Haber (Rosenstiel Center)James Haber (Rosenstiel Center)James Haber (Rosenstiel Center)James Haber (Rosenstiel Center)Genetics and molecular biology of yeastmeiotic and mitotic recombination. Mating-type switching. Repair of brokenchromosomes.

Jeffrey Hall (Volen National Center forJeffrey Hall (Volen National Center forJeffrey Hall (Volen National Center forJeffrey Hall (Volen National Center forJeffrey Hall (Volen National Center forComplex Systems)Complex Systems)Complex Systems)Complex Systems)Complex Systems)Neurogenetics and molecular neurobiologyof higher behaviors in Drosophila.

Kenneth Hayes (Director, Foster AnimalKenneth Hayes (Director, Foster AnimalKenneth Hayes (Director, Foster AnimalKenneth Hayes (Director, Foster AnimalKenneth Hayes (Director, Foster AnimalLab)Lab)Lab)Lab)Lab)Comparative nutritional pathophysiology inman and animals. Lipoprotein metabolismand atherogenesis, cholelithiasis.

Elaine HillerElaine HillerElaine HillerElaine HillerElaine HillerHuman genetics.

Susan Lovett (Rosenstiel Center)Susan Lovett (Rosenstiel Center)Susan Lovett (Rosenstiel Center)Susan Lovett (Rosenstiel Center)Susan Lovett (Rosenstiel Center)Genetics and molecular biology of bacteriaand yeast. DNA repair. Recombination andmutogenesis.

Melissa MooreMelissa MooreMelissa MooreMelissa MooreMelissa MooreMolecular biology of self-splicing intronsand the splicesome. Mechanisms of RNAcatalysis.

Gregory Petsko (Director, RosenstielGregory Petsko (Director, RosenstielGregory Petsko (Director, RosenstielGregory Petsko (Director, RosenstielGregory Petsko (Director, RosenstielCenter)Center)Center)Center)Center)X-ray crystallographic analysis of proteinstructure and enzyme mechanisms.

Joan Press (Rosenstiel Center)Joan Press (Rosenstiel Center)Joan Press (Rosenstiel Center)Joan Press (Rosenstiel Center)Joan Press (Rosenstiel Center)Developmental immunology andimmunogenetics.

Ruibao Ren (Rosenstiel Center)Ruibao Ren (Rosenstiel Center)Ruibao Ren (Rosenstiel Center)Ruibao Ren (Rosenstiel Center)Ruibao Ren (Rosenstiel Center)Signal transduction.

Michael Rosbash (Volen National CenterMichael Rosbash (Volen National CenterMichael Rosbash (Volen National CenterMichael Rosbash (Volen National CenterMichael Rosbash (Volen National Centerfor Complex Systems)for Complex Systems)for Complex Systems)for Complex Systems)for Complex Systems)RNA processing and molecularneurobiology.

Ranjan Sen (Rosenstiel Center)Ranjan Sen (Rosenstiel Center)Ranjan Sen (Rosenstiel Center)Ranjan Sen (Rosenstiel Center)Ranjan Sen (Rosenstiel Center)Molecular immunology. Regulation of geneexpression.

Piali Sengupta (Volen National Center forPiali Sengupta (Volen National Center forPiali Sengupta (Volen National Center forPiali Sengupta (Volen National Center forPiali Sengupta (Volen National Center forComplex Systems)Complex Systems)Complex Systems)Complex Systems)Complex Systems)Developmental neurobiology inC. elegans.

Neil Simister (Rosenstiel Center)Neil Simister (Rosenstiel Center)Neil Simister (Rosenstiel Center)Neil Simister (Rosenstiel Center)Neil Simister (Rosenstiel Center)Molecular immunology. Antibodytransport.

Lawrence WanghLawrence WanghLawrence WanghLawrence WanghLawrence WanghMolecular controls of DNA replication inXenopus egg.

Michael Welte (Rosenstiel Center)Michael Welte (Rosenstiel Center)Michael Welte (Rosenstiel Center)Michael Welte (Rosenstiel Center)Michael Welte (Rosenstiel Center)Regulation of motor-driven transport.

Requirements for the Degree of Master of ScienceRequirements for the Degree of Master of ScienceRequirements for the Degree of Master of ScienceRequirements for the Degree of Master of ScienceRequirements for the Degree of Master of Science

Program of StudyProgram of StudyProgram of StudyProgram of StudyProgram of StudyThe program is designed to guide each student toward realizingher or his potential as an independent research biologist.Students are encouraged to become experts in the theory andpractice of their chosen area of research, as well as to obtainbreadth in other areas strongly represented in the program.Research areas include genetics, molecular biology,developmental biology, cell biology, structural biology,immunology, and neurobiology. Graduate courses are available inall of these areas. A total of six graduate level courses, to beagreed upon with the program advisor, are required for thedegree. The research component can be met by satisfactoryperformance in four laboratory rotations (including submission ofwritten rotation reports) or submission of a research thesis. Allstudents are required to take CONT 300b (Ethical Practice inHealth Related Sciences), typically in the spring.

Residence RequirementResidence RequirementResidence RequirementResidence RequirementResidence RequirementThe minimum residence requirement is one year.

Requirements for the Degree of Doctor of PhilosophyRequirements for the Degree of Doctor of PhilosophyRequirements for the Degree of Doctor of PhilosophyRequirements for the Degree of Doctor of PhilosophyRequirements for the Degree of Doctor of Philosophy

Program of StudyProgram of StudyProgram of StudyProgram of StudyProgram of StudyStudents are expected to obtain a knowledge of the principles andtechniques of three of the areas represented in the program, i.e.,genetics, developmental biology, molecular biology, neurobiology,immunology, cell biology, and structural biology. The background astudent is expected to have in these areas will be covered in coursesgiven by the program. Entering students also participate together in aproseminar, an introduction to the research literature of biology.Students take two courses each semester in the first year, with a totalof six required for the degree. In the first year, students will completefour, nine-week rotations in at least four different laboratories.Throughout the graduate years, students remain involved in seminarcourses, journal clubs, presentations of research, colloquia, andresearch courses.

Each student will choose his/her specific field of interest and willapply for a permanent advisor to be agreed upon by the program at theend of the first year. The advisor will assist the student in planning awell-balanced program in his/her specific field of interest. In addition,the advisor will ordinarily serve as the chair of the student’sdissertation examining committee.

Teaching RequirementTeaching RequirementTeaching RequirementTeaching RequirementTeaching RequirementAt least one year of teaching experience (or equivalent) is required ofall degree candidates.

Residence RequirementResidence RequirementResidence RequirementResidence RequirementResidence RequirementThe minimum residence requirement is three years.

Molecular and Cell Biology

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Language RequirementLanguage RequirementLanguage RequirementLanguage RequirementLanguage RequirementThere is no foreign language requirement for the Ph.D. degree.

Qualifying ExaminationQualifying ExaminationQualifying ExaminationQualifying ExaminationQualifying ExaminationThe qualifying examination consists of two research propositionsin which the student identifies an important and interestingresearch problem and then proposes the experiments to attack it.The propositions are written and the student gives an oraldefense. The first proposition, which is taken at the end of thefirst year, must be in an area outside the student’s area of thesisresearch. The second proposition constitutes a thesis proposaland is taken at the end of the second year.

Dissertation and DefenseDissertation and DefenseDissertation and DefenseDissertation and DefenseDissertation and DefenseEach student will conduct an original investigation. After submissionof the dissertation, the candidate will be expected to present theprincipal results of his or her work and its significance during anexamination in defense of the dissertation. The examining committeemust include one faculty member from outside the University. Apublic seminar to the University community is also required.



BIOL 102b Structural Molecular BiologyBIOL 102b Structural Molecular BiologyBIOL 102b Structural Molecular BiologyBIOL 102b Structural Molecular BiologyBIOL 102b Structural Molecular Biology[ sn ]Prerequisites: BIOL 22a (formerly BIBC 22a)and BIOL 22b; or permission of theinstructor.Cells are filled with machines that carrymaterials about the cell, that chemicallytransform molecules, that transduce energy,and much more. Our understanding of howthese machines work depends onunderstanding their structures. Thisintroduction to the structural basis ofmolecular biology examines the designs ofproteins and nucleic acids, their assemblyinto macromolecular complexes, and themeans whereby we visualize thesestructures. Considers the physical andchemical basis for specificity in molecularrecognition. Usually offered every otheryear.Mr. DeRosier

BIOL 103b Mechanisms of Cell FunctionsBIOL 103b Mechanisms of Cell FunctionsBIOL 103b Mechanisms of Cell FunctionsBIOL 103b Mechanisms of Cell FunctionsBIOL 103b Mechanisms of Cell Functions[ sn ]Prerequisite: BIOL 22b or permission of theinstructor.An advanced course focusing on amechanistic understanding of cell biologicalprocesses and the methods by which theseprocesses are elucidated. Papers are chosento illustrate a variety of experimentalapproaches including biochemistry,genetics, and microscopy. Topics includecell cycle, signal transduction, cytoskeletonand cell movement, membrane traffic,intercellular transport, and organellefunctions. Usually offered every year.Mr. Welte

BIOL 105b Molecular BiologyBIOL 105b Molecular BiologyBIOL 105b Molecular BiologyBIOL 105b Molecular BiologyBIOL 105b Molecular Biology[ sn ]Prerequisites: BIOL 22a (formerly BIBC 22a)and BIOL 22b. Section 2 is open only tostudents in the Genetic CounselingProgram. Class work for this section issupplemented by special readings andlectures with a clinical focus.Examination of molecular processes inreplication and expression of geneticinformation and techniques by which thisunderstanding has been achieved. Topicsinclude recombinant DNA and othermolecular biological techniques, structureand organization of DNA in chromosomes,DNA replication, transcription andregulation of gene expression, RNAstructure and processing, mRNA stability,and other mechanisms of post-translationalcontrol. Usually offered every year.Mr. Haber and Staff

BIOL 111a Developmental BiologyBIOL 111a Developmental BiologyBIOL 111a Developmental BiologyBIOL 111a Developmental BiologyBIOL 111a Developmental Biology[ sn ]Prerequisite: BIOL 22b.How do complex organisms buildthemselves starting from single cells?Examines how processes such asfertilization, embryogenesis, celldifferentiation, and tissue-specific geneexpression occur; what is known about thekey molecules and genes that orchestratethese processes; and how genetic changesaffecting these processes underlie theevolution of body form. Usually offeredevery second year.Ms. White

BIOL 122a Molecular GeneticsBIOL 122a Molecular GeneticsBIOL 122a Molecular GeneticsBIOL 122a Molecular GeneticsBIOL 122a Molecular Genetics[ sn ]Prerequisite: BIOL 22a (formerly BIBC 22a).A lecture- and literature-based courseemphasizing strategies of genetic analysisand the mechanisms that control geneticchange and preserve genetic stability.Lectures cover the topics of mutation,recombination and repair of geneticdamage, chromosome structure andtransmission, analysis at the genomic level,and modern genetic and molecular biologyapproaches to study genes in action.Research papers of current and historicalinterest will be discussed. Usually offeredevery second year.Mr. Haber and Ms. Lovett

BIOL 125a ImmunologyBIOL 125a ImmunologyBIOL 125a ImmunologyBIOL 125a ImmunologyBIOL 125a Immunology[ sn ]Prerequisites: BIOL 22a (formerly BIBC 22a)and BIOL 22b.Topics include properties, functions of cellsinvolved in immunity; genes, structure,function of immunoglobins and T cellreceptors; cell interactions; antigenrecognition; lymphokines; tolerance;lymphocyte differentiation; geneticregulation; viral immunity; autoimmunity;AIDS; vaccines. Usually offered every year.Ms. Press

BIOL 126b Protein Structure and DiseaseBIOL 126b Protein Structure and DiseaseBIOL 126b Protein Structure and DiseaseBIOL 126b Protein Structure and DiseaseBIOL 126b Protein Structure and Disease[ sn ]Prerequisites: BIOL 22a (formerly BIBC 22a)and BIOL 22b, or the equivalent, orpermission of the instructor.Reviews the basic principles of proteinstructure, so that the functional aspects ofdifferent protein designs may beunderstood. Examines various proteinmutations related to certain moleculardiseases and the architecture of some keyviruses and their infectivity. Considerationof drug design is an integral part of thecourse. Student presentations are essentialto the course. Usually offered every secondyear.Ms. Cohen

BIOL 128a Human GeneticsBIOL 128a Human GeneticsBIOL 128a Human GeneticsBIOL 128a Human GeneticsBIOL 128a Human Genetics[ sn ]Prerequisites: BIOL 22a (formerly BIBC 22a)and BIOL 22b.Survey of mutation and polymorphism;molecular techniques; single-geneinheritance and complexities thereof; riskassessment and Bayesian analysis;cytogenetics; hemoglobinopathies;population genetics; physical and geneticmapping strategies; cancer genetics; ethicalconsiderations; multifactorial inheritance;immunogenetics; pharmacogenetics;genetics of development; molecular andbiochemical basis of genetic disease;genomics, proteomics, and bioinformatics;gene therapy; and computer databases inhuman genetics. Usually offered every year.Ms. Hiller


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BIOL 132a General MicrobiologyBIOL 132a General MicrobiologyBIOL 132a General MicrobiologyBIOL 132a General MicrobiologyBIOL 132a General Microbiology[ sn ]Prerequisites: BIOL 22a (formerly BIBC 22a)and BIOL 22b, CHEM 25a and 25b.A survey of the physiology of bacteria andother microorganisms. Concentrates onthose aspects of cell structure and functionthat are important for diverse microbiallifestyles. In addition, pays specialattention to the biology of disease-causingorganisms and microbiological problemsfacing medicine today. Usually offeredevery second year.Staff

BIOL 134b Topics in EcologyBIOL 134b Topics in EcologyBIOL 134b Topics in EcologyBIOL 134b Topics in EcologyBIOL 134b Topics in Ecology[ sn ]Prerequisites: BIOL 23a or permission of theinstructor.Each year a different aspect of the globalbiosphere is selected for analysis usingcontemporary tools and approaches. Themost recent topic was tropical ecology.Consult the Schedule of Classes for currenttopic. Usually offered every other year.Mr. D.L. Perlman

NBIO 136b Computational NeuroscienceNBIO 136b Computational NeuroscienceNBIO 136b Computational NeuroscienceNBIO 136b Computational NeuroscienceNBIO 136b Computational Neuroscience[ sn ]Prerequisites: MATH 10a or PHYS 10a orapproved equivalents.An introduction to methods and results inmathematical and computer modeling ofneural systems. Topics include the basicbiophysics of ion conduction, single- andmulti-compartment neuron models,information theory and neural codes, therepresentation and processing of images bythe visual system, and models of synapticplasticity, learning, and memory. Usuallyoffered every second year.Mr. Abbott

NBIO 140b Principles of NeuroscienceNBIO 140b Principles of NeuroscienceNBIO 140b Principles of NeuroscienceNBIO 140b Principles of NeuroscienceNBIO 140b Principles of Neuroscience[ sn ]Prerequisite: BIOL 22b or permission of theinstructor.Basic principles of neurobiology. Topicsinclude ion channels and their role ingenerating resting and action potentials;basics of synaptic physiology andpharmacology; neural circuits underlyingbehavior, learning, and mental illness.Usually offered every year.Ms. Marder

NBIO 143b Developmental NeurobiologyNBIO 143b Developmental NeurobiologyNBIO 143b Developmental NeurobiologyNBIO 143b Developmental NeurobiologyNBIO 143b Developmental Neurobiology[ sn ]Prerequisite: BIOL 22b or permission of theinstructor.Discusses the mechanisms used in thedevelopment of the nervous system. Topicsinclude determination of neuronal cellfates, neuronal differentiation and patternformation, neuron survival and growth, andmechanisms responsible for generation ofconnectivity in the nervous system.Usually offered every second year.Ms. Sengupta

NBIO 145b Systems NeuroscienceNBIO 145b Systems NeuroscienceNBIO 145b Systems NeuroscienceNBIO 145b Systems NeuroscienceNBIO 145b Systems Neuroscience[ sn ]Prerequisite: NBIO 140b.The neural basis of sensation and animalbehavior studied at the level of individualneurons and neural circuits. Students readand discuss papers from the scientificliterature. Usually offered every year.Mr. Abbott

NBIO 147a NeurogeneticsNBIO 147a NeurogeneticsNBIO 147a NeurogeneticsNBIO 147a NeurogeneticsNBIO 147a Neurogenetics[ sn ]Prerequisites: BIOL 18a and BIOL 22a(formerly BIBC 22a).Development and function of the nervoussystem and responses of excitable cellsstudied in neurological and behavioralmutants. Characterization andmanipulation of genes, defined by thesemutations and using molecular biologicaltools. Organisms: microbes, roundworms,fruit flies, mammals. Neurobiological areas:embryonic neural development, nerve celldifferentiation and pattern formation,membrane excitability, responses to visualand chemical stimuli, biological rhythms,and reproductive behavior. Usually offeredevery third year.Mr. Hall

NBIO 148b Cellular NeuroscienceNBIO 148b Cellular NeuroscienceNBIO 148b Cellular NeuroscienceNBIO 148b Cellular NeuroscienceNBIO 148b Cellular Neuroscience[ sn ]Prerequisite: NBIO 140b or permission ofthe instructor. May be taken concurrentlywith NBIO 140b. This course may not berepeated for credit by students who havetaken NBCH 148b in previous years.Focuses on cellular mechanisms ofexcitability and synaptic plasticity.Students examine classic experiments onaction potentials and synaptic transmissionand the original research literature dealingwith the cellular mechanisms ofdevelopmental and learning-relatedplasticity. Usually offered every year.Ms. Turrigiano

BIOL 149b Molecular PharmacologyBIOL 149b Molecular PharmacologyBIOL 149b Molecular PharmacologyBIOL 149b Molecular PharmacologyBIOL 149b Molecular Pharmacology[ sn ]Prerequisites: BIOL 22b and CHEM 25a andb. NBIO 140b strongly recommended.Covers the essentials of pharmacology andthe study of the actions of chemical agents(drugs, toxins, neurotransmitters, andhormones) that interact with livingsystems. Emphasizes molecularmechanisms of neuropharmacology. Topicsinclude pharmacokinetics, hormone action,autonomic pharmacology, and thepsychopharmacology of drugs of abuse andmental disorders. Usually offered everythird year.Ms. Griffith

NBIO 150a Autism and HumanNBIO 150a Autism and HumanNBIO 150a Autism and HumanNBIO 150a Autism and HumanNBIO 150a Autism and HumanDevelopmental DisordersDevelopmental DisordersDevelopmental DisordersDevelopmental DisordersDevelopmental Disorders[ sn ]Prerequisite: BIOL 22b.Autism and other developmental disordersare characterized by abnormal braindevelopment resulting in cognitive andbehavioral deficits. Takes an integrativeapproach to investigate the biological,behavioral, medical, and social aspects ofhuman developmental disorders. Usuallyoffered every year.Ms. Birren

BIOL 160b Human Reproductive andBIOL 160b Human Reproductive andBIOL 160b Human Reproductive andBIOL 160b Human Reproductive andBIOL 160b Human Reproductive andDevelopmental BiologyDevelopmental BiologyDevelopmental BiologyDevelopmental BiologyDevelopmental Biology[ sn wi ]Prerequisites: BIOL 22a (formerly BIBC 22a)and BIOL 22b.Course deals with hormonal, cellular, andmolecular aspects of gametogenesis,fertilization, pregnancy, and birth.Discusses pathological and abnormalvariations that occur and the availablemedical technologies for intervention,correction, and facilitation of theseprocesses are discussed. Usually offeredevery year.Mr. Wangh

BIOL 172b Growth Control and CancerBIOL 172b Growth Control and CancerBIOL 172b Growth Control and CancerBIOL 172b Growth Control and CancerBIOL 172b Growth Control and Cancer[ sn ]Prerequisites: BIOL 22a (formerly BIBC 22a)and BIOL 22b.Covers the fundamental rules of behavior ofcells in multicellular organisms. Examinescellular and molecular mechanisms thatgovern cell growth, differentiation andsurvival in normal cells, as well as how thisregulation is disrupted in cancer. Usuallyoffered every year.Mr. Ren

BIOL 173b Programmed Cell DeathBIOL 173b Programmed Cell DeathBIOL 173b Programmed Cell DeathBIOL 173b Programmed Cell DeathBIOL 173b Programmed Cell Death[ sn ]Prerequisites: BIOL 22a (formerly BIBC 22a),BIOL 22b, and BCHM 100a or permission ofthe instructor.Apoptosis, the programmed death ofvertebrate cells, is essential for normaldevelopment and health. The topic isexamined through recent research papers,lectures, and student presentations, withemphasis on the mechanism of apoptosisand its role in human diseases such ascancer and neurological disorders. Usuallyoffered every third year.Mr. Fulton

BIOL 174b Stem CellsBIOL 174b Stem CellsBIOL 174b Stem CellsBIOL 174b Stem CellsBIOL 174b Stem Cells[ sn ]Prerequisites: BIOL 22a and BIOL 22b.Covers stem cell biology, celldifferentiation and transdifferentiation, celllineage commitment, gene expression,signal transduction, cell identity memoryand cell therapies. Provides a unique way togain insights into developmental biology,molecular and cell biology, cancer biology,biology of aging, and regenerative medicine,as well as bioethics and health and publicpolicies. Usually offered every second year.Mr. Ren


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BIOL 175b Advanced ImmunologyBIOL 175b Advanced ImmunologyBIOL 175b Advanced ImmunologyBIOL 175b Advanced ImmunologyBIOL 175b Advanced Immunology[ sn ]Prerequisite: BIOL 125a or permission ofthe instructor.A survey of recent advances in molecularimmunology. Topics include hematopoieticstem cell biology, blood lineagecommitment, growth factor signaltransduction, the nature and specificity ofantigen receptors, the regulation andmechanism of V(D)J recombination, and Band T cell development. Usually offeredevery second year.Staff

(200 and above) Primarily for(200 and above) Primarily for(200 and above) Primarily for(200 and above) Primarily for(200 and above) Primarily forGraduate StudentsGraduate StudentsGraduate StudentsGraduate StudentsGraduate Students

BIOL 200a ProseminarBIOL 200a ProseminarBIOL 200a ProseminarBIOL 200a ProseminarBIOL 200a ProseminarFor first-year Ph.D. students. Emphasizesthe reading, analysis, and presentation ofscientific papers. There is considerableemphasis on writing and students will beguided towards preparing research papersand grant applications. Also examines howscientists frame important questions anddesign appropriate experiments. Papers willbe chosen for discussion, coveringmolecular biological, genetic, structural,and biochemical approaches. Usuallyoffered every year.Ms. Lovett

BIOL 202d Introduction to GeneticBIOL 202d Introduction to GeneticBIOL 202d Introduction to GeneticBIOL 202d Introduction to GeneticBIOL 202d Introduction to GeneticCounselingCounselingCounselingCounselingCounselingA two-semester sequence that provides thehistorical and theoretical foundations forthe practice of genetic counseling and therole of genetic services within thehealthcare delivery system. Introducesstudents to some of the practical aspects ofgenetic counseling, including casepreparation, pedigree construction/interpretation, and medical documentation.Usually offered every year.Ms. McIntosh

BIOL 203a Proseminar: The Molecular BasisBIOL 203a Proseminar: The Molecular BasisBIOL 203a Proseminar: The Molecular BasisBIOL 203a Proseminar: The Molecular BasisBIOL 203a Proseminar: The Molecular Basisof Genetic Diseasesof Genetic Diseasesof Genetic Diseasesof Genetic Diseasesof Genetic DiseasesCovers the molecular basis of musculardystrophy, fragile X syndrome, cysticfibrosis, Huntington disease, and severalinherited cancer syndromes. A historicalperspective is used for each topic;molecular diagnostics and geneticcounseling issues are addressed as well.Usually offered every year.Ms. Tsipis

BIOL 204b Clinical Genetics IBIOL 204b Clinical Genetics IBIOL 204b Clinical Genetics IBIOL 204b Clinical Genetics IBIOL 204b Clinical Genetics IIntroduction to basic concepts ofbiochemical genetics, cytogenetics, andclinical molecular genetics. Makes use ofclinical cases ranging from single genedisorders to multifactorially determinedconditions and includes problems indysmorphology, inborn errors ofmetabolism, and cancer genetics. Aproblem-solving approach is emphasized.Usually offered every year.Ms. Schneider and Ms. Stoler

BIOL 205b Counseling Theory andBIOL 205b Counseling Theory andBIOL 205b Counseling Theory andBIOL 205b Counseling Theory andBIOL 205b Counseling Theory andTechniqueTechniqueTechniqueTechniqueTechniqueA comprehensive overview of counselingtheory and practice. Topics includelistening, observation, and interview skillsand strategies; family dynamics anddevelopment; coping and adaptationprocesses; referral and consultationprocedures; and ethical principles. Studentsare provided an opportunity to integrateclinical experiences with the coverage oftopics. Usually offered every year.Mr. Rintell

BIOL 206d Genetic Counseling Journal ClubBIOL 206d Genetic Counseling Journal ClubBIOL 206d Genetic Counseling Journal ClubBIOL 206d Genetic Counseling Journal ClubBIOL 206d Genetic Counseling Journal ClubNoncredit.Informal biweekly meeting of students andfaculty at which recent papers arediscussed. Usually offered every year.Staff

BIOL 207a Genetic Counseling: CaseBIOL 207a Genetic Counseling: CaseBIOL 207a Genetic Counseling: CaseBIOL 207a Genetic Counseling: CaseBIOL 207a Genetic Counseling: CaseConferences and Family CounselingConferences and Family CounselingConferences and Family CounselingConferences and Family CounselingConferences and Family CounselingTaught by a team of health careprofessionals. Case studies provide the basisfor discussion of a variety of geneticdisorders and the application of counselingmodalities. Students have an opportunity toshare experiences gained during clinicalinternships. Discussions emphasize theinterplay of medical, psychological, ethical,legal, social, and cultural factors in geneticcounseling. Usually offered every year.Ms. McIntosh and Mr. Rintell

BIOL 211a Genetic Counseling FieldworkBIOL 211a Genetic Counseling FieldworkBIOL 211a Genetic Counseling FieldworkBIOL 211a Genetic Counseling FieldworkBIOL 211a Genetic Counseling FieldworkPlacement: Part IPlacement: Part IPlacement: Part IPlacement: Part IPlacement: Part IStudents work one day per week in acommunity-based health serviceorganization, school, clinic, or public healthagency to develop awareness of disability-related issues and the variety ofcommunity-based services for individualswith special needs. Students also observe ina genetics clinic 20-30 hours over thecourse of the semester to gain exposure toconcepts learned in BIOL 202d(Introduction to Genetic Counseling).Periodic course discussions supplement thefieldwork experience.Ms. Lerner

BIOL 211b Genetic Counseling FieldworkBIOL 211b Genetic Counseling FieldworkBIOL 211b Genetic Counseling FieldworkBIOL 211b Genetic Counseling FieldworkBIOL 211b Genetic Counseling FieldworkPlacement: Part IIPlacement: Part IIPlacement: Part IIPlacement: Part IIPlacement: Part IITo begin preparing for clinical geneticsinternships, students participate in avariety of experiences that serve to fosterand integrate the concepts introduced incourses and presentations. Students areexposed to procedures in clinical labsthrough lectures, site visits, and/or labwork. In addition, students continueobservations in a genetics clinic and meetseveral times with a family with a childwith a disability. Periodic coursediscussions supplement the fieldworkexperience.Ms. Lerner

BIOL 212a Genetic Counseling Internship IBIOL 212a Genetic Counseling Internship IBIOL 212a Genetic Counseling Internship IBIOL 212a Genetic Counseling Internship IBIOL 212a Genetic Counseling Internship IStarting in the summer and continuingthrough the fall semester, students worktwo to three days a week under thesupervision of a genetic counselor orclinical geneticist in a prenatal, pediatric,general, cancer, or specialty genetics clinic.Usually offered every year.Ms. McIntosh

BIOL 212e Genetic Counseling Internship IIBIOL 212e Genetic Counseling Internship IIBIOL 212e Genetic Counseling Internship IIBIOL 212e Genetic Counseling Internship IIBIOL 212e Genetic Counseling Internship IIStudents work two to three days a weekunder the supervision of a genetic counseloror clinical geneticist in a prenatal,pediatric, general, cancer, or specialtygenetics clinic and meet once a week todiscuss cases and develop counselingprotocols for some common geneticdisorders. Usually offered every year.Ms. McIntosh

BIOL 213d Genetic Counseling ResearchBIOL 213d Genetic Counseling ResearchBIOL 213d Genetic Counseling ResearchBIOL 213d Genetic Counseling ResearchBIOL 213d Genetic Counseling ResearchProjectProjectProjectProjectProjectStudents are introduced to the basictechniques of social science research andtheir grounding principles in a series ofseminars. In consultation with theprogram’s research coordinator, eachstudent designs and carries out a projectunder the supervision of a researchcommittee. Usually offered every year.Ms. Lerner

BIOL 214c Genetic Counseling ProcessBIOL 214c Genetic Counseling ProcessBIOL 214c Genetic Counseling ProcessBIOL 214c Genetic Counseling ProcessBIOL 214c Genetic Counseling ProcessGroupGroupGroupGroupGroupIn this small group setting, students canshare and learn from their collectiveexperiences in their field placements,courses, and individual lives and have theopportunity to process and integrate theexperience of becoming a genetic counselor.Usually offered every semester.Mr. Cunningham

BIOL 215b Readings in Molecular BiologyBIOL 215b Readings in Molecular BiologyBIOL 215b Readings in Molecular BiologyBIOL 215b Readings in Molecular BiologyBIOL 215b Readings in Molecular BiologyA combination of readings and clinicallaboratory work to provide students with anin-depth understanding of the molecularbiology of several human genetic diseasesand the techniques used for their diagnosis.Usually offered every year.Ms. Tsipis

BIOL 220a Clinical Genetics IIBIOL 220a Clinical Genetics IIBIOL 220a Clinical Genetics IIBIOL 220a Clinical Genetics IIBIOL 220a Clinical Genetics IIPrerequisite: Completion of BIOL 204b orpermission of the instructor.Continuation of BIOL 204b with emphasison the genetic and developmental disordersof most major organ systems. A case-based,problem-solving approach is emphasized.Usually offered every year.Mr. Korf or Staff

BIOL 224b The RNA WorldBIOL 224b The RNA WorldBIOL 224b The RNA WorldBIOL 224b The RNA WorldBIOL 224b The RNA WorldPrerequisite: BCHM 100a, BIOL 105b(formerly BIBC 105b), or permission of theinstructor.This course employs seminars and lecturesto approach a wide range of topics in RNAresearch. Topics include RNA enzymes,RNA structure, protein-RNA interactions,pre-MRNA splicing, and RNA localization.Ms. Moore and Mr. Rosbash


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BIOL 236b Genetics, Law, and Social PolicyBIOL 236b Genetics, Law, and Social PolicyBIOL 236b Genetics, Law, and Social PolicyBIOL 236b Genetics, Law, and Social PolicyBIOL 236b Genetics, Law, and Social PolicyExplores advances in human genetics, theclinical and economic benefits promised bynew tests, problems generated by our newability to manipulate our biological future.Analyzes the role of government inregulating technological development andthe legal doctrines of privacy, informedconsent, and professional liability. Usuallyoffered every second year.Ms. Roche

BIOL 300a Biological ResearchBIOL 300a Biological ResearchBIOL 300a Biological ResearchBIOL 300a Biological ResearchBIOL 300a Biological ResearchPrimarily for the first-year student with thepurpose of introducing him or her tobiological research and to the work inprogress in the laboratories of a number offaculty members. In consultation with thegraduate advisor, the student plans asequence of such tenures, each comprisingnine weeks or more, and then carries outexperimental investigations under theguidance of the faculty members involved.Usually offered every year.Staff

CONT 300b Ethical Practice in Health-CONT 300b Ethical Practice in Health-CONT 300b Ethical Practice in Health-CONT 300b Ethical Practice in Health-CONT 300b Ethical Practice in Health-Related SciencesRelated SciencesRelated SciencesRelated SciencesRelated SciencesRequired of all first-year graduate studentsin health-related science programs. Not forcredit.Ethics is an essential aspect of scientificresearch. This course, taught by Universityfaculty from several graduate disciplines,covers major ethical issues germane to thebroader scientific enterprise, includingareas or applications from a number offields of study. Lectures and relevant casestudies are complemented by two publiclectures during the course. Usually offeredevery year.Ms. Press, Mr. Simister

BIOL 300b Biological ResearchBIOL 300b Biological ResearchBIOL 300b Biological ResearchBIOL 300b Biological ResearchBIOL 300b Biological ResearchPrimarily for the first-year student with thepurpose of introducing him or her tobiological research and to the work inprogress in the laboratories of a number offaculty members. In consultation with thegraduate advisor, the student plans asequence of such tenures, each comprisingnine weeks or more, and then carries outexperimental investigations under theguidance of the faculty members involved.Usually offered every year.Staff

BIOL 305d Topics in Molecular GeneticsBIOL 305d Topics in Molecular GeneticsBIOL 305d Topics in Molecular GeneticsBIOL 305d Topics in Molecular GeneticsBIOL 305d Topics in Molecular Geneticsand Developmentand Developmentand Developmentand Developmentand DevelopmentUsually offered every year.Mr. Welte


NBIO 306d Topics in NeurobiologyNBIO 306d Topics in NeurobiologyNBIO 306d Topics in NeurobiologyNBIO 306d Topics in NeurobiologyNBIO 306d Topics in NeurobiologyUsually offered every year.Ms. Turrigiano

BIOL 307d Topics in ImmunologyBIOL 307d Topics in ImmunologyBIOL 307d Topics in ImmunologyBIOL 307d Topics in ImmunologyBIOL 307d Topics in ImmunologyUsually offered every year.Ms. Press and Mr. Simister

BIOL 316d Mechanisms of RecombinationBIOL 316d Mechanisms of RecombinationBIOL 316d Mechanisms of RecombinationBIOL 316d Mechanisms of RecombinationBIOL 316d Mechanisms of RecombinationUsually offered every year.Mr. Haber and Ms. Lovett

NBIO 340d Computational NeuroscienceNBIO 340d Computational NeuroscienceNBIO 340d Computational NeuroscienceNBIO 340d Computational NeuroscienceNBIO 340d Computational NeuroscienceJournal ClubJournal ClubJournal ClubJournal ClubJournal ClubUsually offered every year.Mr. Abbott

BIOL 350d Graduate Student ResearchBIOL 350d Graduate Student ResearchBIOL 350d Graduate Student ResearchBIOL 350d Graduate Student ResearchBIOL 350d Graduate Student ResearchSeminarSeminarSeminarSeminarSeminarUsually offered every year.Staff

BIOL 401d Dissertation ResearchBIOL 401d Dissertation ResearchBIOL 401d Dissertation ResearchBIOL 401d Dissertation ResearchBIOL 401d Dissertation ResearchIndependent research for the Ph.D. degree.Specific sections for individual facultymembers as requested.Staff

courses of study: minor linguistics major (b.a.) filelinguistics courses of study: minor major...

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