ua math courses offered

8/10/2019 UA Math Courses Offered

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-SArepresents a Student Abroad & Student Exchange offering-CCrepresents a Correspondence Course offeringMay Be OfferedDepartments may offer this component in some semesters. See the Schedule ofClasses for term-specific offerings.

Fall 2014 Course Descriptions as of 03/17/2014 20:23:41

Information in Browse Course Catalog is subject to change. Information is term specific. Please refer tothe appropriate term when searching for course content. Key to Course Descriptions may be found at:http://rcs.registrar.arizona.edu/course_descriptions_key.

Mathematics Main (MATH)

MATH 100: Preparation for University-level Mathematics(3 units)Description:The main purpose of this course is to serve as a preparation for MATH 105,MATH 109C, MATH 111, and MATH 112. Work in the course is primarily self-directed, withmandatory weekly interaction with the instructional team. Content includes the following topics:linear, quadratic, polynomial, rational, and absolute value equations and inequalities, algebraicexpressions, graphing techniques,factoring techniques, exponents and logarithms. Studentswho wish to continue to higher level math courses will have the option to work with additionalcourse material in algebra and trigonometry to facilitate this preparation. This course by itselfcannot be used to satisfy the foundations math requirement forany degree program.Examinations are proctored.

Grading basis:Regular GradesCareer:UndergraduateFlat Fee: $80Course Components: Discussion May Be Offered

Laboratory RequiredEquivalent to: MATH 100BCourse typically offered: Fall, Spring, Summer 1 and 2Recommendations and additional information: Sufficient score on Math Placement Test.Credit for either MATH 100 or the MATH 100AX-100B sequence, but not both.Enrollment requirement: Math Placement Level 01 or Proctored/Prep for College Algebra 30-70 or Proctored/Prep for Calculus 25-50.


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MATH 100AX: Preparation for University-level Mathematics - Part 1(2 units)Description:The main purpose of this course is to serve as a preparation for MATH 100B.Work in the course is primarily self-directed, with mandatory weekly interaction with theinstructional team. Content may include the following topics: selected topics in beginningalgebra, linear, quadratic, polynomial, rational, and absolute value equations and inequalities,algebraic expressions, graphing techniques, factoring techniques, exponents and logarithms. By

the end of the sequence of courses MATH 100A-100B, students will have mastered the samecourse content as in MATH 100; therefore, students may earn credit for either MATH 100 or theMATH 100A-100B sequence, but not both. This course cannot be used to satisfy thefoundations math requirement for any degree program. Examinations are proctored.Grading basis:DevelopmentalCareer:UndergraduateFlat Fee: $96Course Components: Discussion RequiredRepeatable: Course can be repeated a maximum of 2 times.Course typically offered: Fall, Spring, Summer 1 and 2Recommendations and additional information: Appropriate placement on the UA MathPlacement test. Credit allowed for MATH 100AX or MATH 100BX but not both.

MATH 100B: Preparation for University-level Mathematics-Part 2(2 units)Description:The main purpose of this course is to serve as a continuation of MATH 100AX,and as a preparation for course work at the level of MATH 112. Work in the course is primarilyself-directed, with mandatory weekly interaction with the instructional team. Content may includethe following topics: selected topics in beginning algebra, linear, quadratic, polynomial, rational,and absolute value equations and inequalities, algebraic expressions, graphing techniques,factoring techniques, exponents and logarithms. By the end of the sequence of courses MATH100AX-100B, students will have mastered the same course content as in MATH 100. Studentsmay earn credit for either MATH 100 or the MATH 100AX-100B sequence, but not both. Thiscourse cannot be used to satisfy the foundations math requirement for any degree program.Examinations are proctored.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Discussion RequiredEquivalent to: MATH 100Course typically offered: Fall, Spring, Summer 1 and 2Recommendations and additional information: Credit for either MATH 100 or the MATH100AX-100B sequence, but not both.Enrollment requirement: MATH 100AX.


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MATH 105: Mathematics in Modern Society(3 units)Description:This course will examine how the mathematics learned in high school is applied toreal life situations. Topics may include personal finance, statistics, elections, symmetry, andscheduling. Some of the applications may be how the site of the Olympic Games is chosen, whyspirals occur in nature, and how statistical data is collected and how it can be used to misleadthe public. The course is designed for elementary education majors, fine arts majors, humanities

majors, and those social and behavioral science majors whose further courses do not requireCollege Algebra as a prerequisite. Except as per University policy on repeating a course, creditwill not be given for this course if the student has credit in a higher level math course. Suchstudents may be dropped from the course. Examinations are proctored.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATH 122Also offered as: MATH 105-CCCourse typically offered: Fall, Spring, Summer 1 and 2Enrollment requirement: Appropriate Math Placement Level or Proctored/Prep for Calculus45+ or Proctored/Prep for College Algebra 55+.

MATH 105-CC: Mathematics in Modern Society(3 units)Description:This course will examine how the mathematics learned in high school is applied toreal life situations. Topics may include personal finance, statistics, elections, symmetry, andscheduling. Some of the applications may be how the site of the Olympic Games is chosen, whyspirals occur in nature, and how statistical data is collected and how it can be used to misleadthe public. The course is designed for elementary education majors, fine arts majors, humanitiesmajors, and those social and behavioral science majors whose further courses do not requireCollege Algebra as a prerequisite. Except as per University policy on repeating a course, creditwill not be given for this course if the student has credit in a higher level math course. Suchstudents may be dropped from the course. Examinations are proctored.Grading basis:Regular GradesCareer:CorrespondenceCourse Components: Lecture RequiredEquivalent to: MATH 122Also offered as: MATH 105Home department: Outreach CollegeEnrollment requirement: Appropriate Math Placement Level or Proctored/Prep for Calculus45+ or Proctored/Prep for College Algebra 55+.


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MATH 109C: Applied College Algebra with Data Analysis(3 units)Description:College algebra course that emphasizes data analysis. Topics include functions,rates of change, linear functions, systems of equations, exponential & logarithmic functions, andquadratic functions. Graphing calculators and spreadsheets will be used. It is not intended forstudents planning to take MATH 124, and it will not serve as a prerequisite for that course.Except as per University policy on repeating a course, credit will not be given for this course if

the student has credit in a higher level math course. Such students may be dropped from thecourse. Examinations are proctored. Credit will be allowed for only one of the following courses:MATH 109, MATH 109C, MATH 110, or MATH 112.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATH 109, MATH 110, MATH 110-CC, MATH 112, MATH 112-CCCourse typically offered: Fall, Spring, Summer 1 and 2Enrollment requirement: Appropriate Math Placement Level or Proctored/Prep for Calculus45+ or Proctored/Prep for College Algebra 55+.

MATH 111: Plane Trigonometry(2 units)Description:Topics include right triangle trigonometry, trigonometric functions and graphs, trigidentities, inverse trig functions, law of sines, and law of cosines. A graphing calculator isrequired for this course. We recommend the TI-83 or TI-84 models. Calculators that performsymbolic manipulations, such as the TI-89, NSpire CAS, or HP50g, cannot be used. Notapplicable to the mathematics major or minor. Except as per University policy on repeating acourse, credit will not be given for this course if the student has credit in a higher level mathcourse. Such students may be dropped from the course. Examinations are proctored.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredAlso offered as: MATH 111-CC

Course typically offered: Fall and SpringEnrollment requirement: Appropriate Math Placement Level or Proctored/Prep for Calculus45+ or Proctored/Prep for College Algebra 55+ or MATH 112.


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MATH 111-CC: Plane Trigonometry(2 units)Description:Topics include right triangle trigonometry, trigonometric functions and graphs, trigidentities, inverse trig functions, law of sines, and law of cosines. A graphing calculator isrequired for this course. We recommend the TI-83 or TI-84 models. Calculators that performsymbolic manipulations, such as the TI-89, NSpire CAS, or HP50g, cannot be used. Notapplicable to the mathematics major or minor. Except as per University policy on repeating a

course, credit will not be given for this course if the student has credit in a higher level mathcourse. Such students may be dropped from the course. Examinations are proctored.Grading basis:Regular GradesCareer:CorrespondenceCourse Components: Lecture RequiredAlso offered as: MATH 111Home department: Outreach CollegeEnrollment requirement: Appropriate Math Placement Level or Proctored/Prep for Calculus45+ or Proctored/Prep for College Algebra 55+ or MATH 112.

MATH 112: College Algebra Concepts and Applications(3 units)Description:Topics include properties of functions and graphs, linear and quadratic equations,polynomial functions, exponential and logarithmic functions with applications. A graphingcalculator is required for this course. We recommend the TI-83 or TI-84 models. Calculators thatperform symbolic manipulations, such as the TI-89, NSpire CAS, or HP50g, cannot be used.Except as per University policy on repeating a course, credit will not be given for this course ifthe student has credit in a higher level math course. Such students may be dropped from thecourse. Examinations are proctored.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATH 109, MATH 109C, MATH 110, MATH 110-CCAlso offered as: MATH 112-CC

Course typically offered: Fall, Spring, Summer 1 and 2Recommendations and additional information: Credit allowed for only one of the followingcourses: MATH 110 or MATH 112.Enrollment requirement: Appropriate Math Placement Level or Proctored/Prep for Calculus45+ or Proctored/Prep for College Algebra 55+ or MATH 112.Shared Unique Number: SUN# MAT 1151


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MATH 112-CC: College Algebra Concepts and Applications(3 units)Description:Topics include properties of functions and graphs, linear and quadratic equations,polynomial functions, exponential and logarithmic functions with applications. A graphingcalculator is required for this course. We recommend the TI-83 or TI-84 models. Calculators thatperform symbolic manipulations, such as the TI-89, NSpire CAS, or HP50g, cannot be used.Except as per University policy on repeating a course, credit will not be given for this course if

the student has credit in a higher level math course. Such students may be dropped from thecourse. Examinations are proctored.Grading basis:Regular GradesCareer:CorrespondenceCourse Components: Lecture RequiredEquivalent to: MATH 109, MATH 109C, MATH 110, MATH 110-CCAlso offered as: MATH 112Recommendations and additional information: Credit allowed for only one of the followingcourses: MATH 109, MATH 110 or MATH 112.Home department: Outreach CollegeEnrollment requirement: Appropriate Math Placement Level or Proctored/Prep for Calculus45+ or Proctored/Prep for College Algebra 55+ or MATH 112.Shared Unique Number: SUN# MAT 1151MATH 113: Elements of Calculus(3 units)Description:Introductory topics in differential and integral calculus. Students are expected tohave a graphing calculator. Except as per University policy on repeating a course, credit will notbe given for this course if the student has credit in a higher level math course. Such studentsmay be dropped from the course. Examinations are proctored.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATH 116

Also offered as: MATH 113-CCCourse typically offered: Fall, Spring, Summer 1 and 2Enrollment requirement: Appropriate Math Placement Level or Proctored/Prep for CollegeAlgebra 88+ or Proctored/Prep for Calculus 65+ or (MATH 109C, 110, 112, 113, 116, 120R,122B, 124, or 125) (Transfer credit for MATH 125 okay).


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MATH 113-CC: Elements of Calculus(3 units)Description:Introductory topics in differential and integral calculus. Students are expected tohave a graphing calculator. Except as per University policy on repeating a course, credit will notbe given for this course if the student has credit in a higher level math course. Such studentsmay be dropped from the course. Examinations are proctored.Grading basis:Regular Grades

Career:CorrespondenceCourse Components: Lecture RequiredEquivalent to: MATH 116Also offered as: MATH 113Course typically offered: Fall, Spring, Summer 1 and 2Home department: Outreach CollegeEnrollment requirement: Appropriate Math Placement Level or Proctored/Prep for CollegeAlgebra 88+ or Proctored/Prep for Calculus 65+ or (MATH 109C, 110, 112, 113, 116, 120R,122B, 124, or 125) (Transfer credit for MATH 125 okay).

MATH 115A: Business Mathematics I(3 units)Description:Probability, conditional probability, Bayes' Theorem, random variables, randomsampling, compound interest, expected value, computer simulation, and spreadsheet functions.The course is based on an electronic text, with extensive use of spreadsheets, downloadeddata, and team reports on major business projects. Examinations are proctored.Grading basis:Regular GradesCareer:UndergraduateFlat Fee: $20Course Components: Lecture RequiredCourse typically offered: Fall and SpringEnrollment requirement: Appropriate Math Placement Level or Proctored/Prep for Col Algebra88+ or Proctored/Prep for Calculus 65+ or (one of MATH 109C, 110, 112, 113, 116, 120R, 124,125) and either (MIS 111 or ABE 120). Transfer credit for MATH 125/115A/115B okay.

MATH 115B: Business Mathematics II(3 units)Description:Variance, normal distributions, distribution of the sample mean, integration,differentiation, advanced spreadsheet functions, and computer simulation. The course is basedon an electronic text, with extensive use of spreadsheets, downloaded data, and team reportson major business projects. Examinations are proctored.Grading basis:Regular GradesCareer:UndergraduateFlat Fee: $20Course Components: Lecture RequiredCourse typically offered: Fall and SpringEnrollment requirement: Appropriate Math Placement Level or MATH 115A.


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MATH 116: Calculus Concepts for Business(3 units)Description:Introductory topics in differential and integral calculus, with particular emphasis onunderstanding the principal concepts and their applications to business. Microsoft Excel andgraphing calculators will be used as tools for further understanding these concepts. Except asper University policy on repeating a course, credit will not be given for this course if the studenthas credit in a higher level math course. Such students may be dropped from the course.

Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATH 113, MATH 113-CCCourse typically offered: Fall, Spring, Summer 1 and 2Enrollment requirement: Appropriate Math Placement Level or Proctored/Prep for Col Algebra88+ or Proctored/Prep for Calculus 65+ or (one of MATH 109C, 110, 112, 113, 116, 120R, 124,125) and either (MIS 111 or ABE 120). Transfer credit for MATH 125/115A/115B okay.

MATH 120R: Calculus Preparation(4 units)Description:Review of algebra and trigonometry; study of functions including polynomial,rational, exponential, logarithmic and trigonometric. A graphing calculator is required for thiscourse. We recommend the TI-83 or TI-84 models. Calculators that perform symbolicmanipulations, such as the TI-89, NSpire CAS, or HP50g, cannot be used. For students whohave high school credit in college algebra and trigonometry but have not attained a sufficientscore on the UA Math Placement Test to enter calculus. Except as per University policy onrepeating a course, credit will not be given for this course if the student has credit in a higherlevel math course. Such students may be dropped from the course. Examinations are proctored.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Discussion May Be Offered

Lecture RequiredAlso offered as: MATH 120R-CC

Course typically offered: Fall, Spring, Summer 1 and 2Enrollment requirement: Appropriate Math Placement Level or MATH 109C, 111, 112,113,116, 120R or Proctored/Prep for College Algebra 88+ or Proctored/Prep for Calculus 65+.


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MATH 120R-CC: Calculus Preparation(4 units)Description:Review of algebra and trigonometry; study of functions including polynomial,rational, exponential, logarithmic and trigonometric. A graphing calculator is required for thiscourse. We recommend the TI-83 or TI-84 models. Calculators that perform symbolicmanipulations, such as the TI-89, NSpire CAS, or HP50g, cannot be used. For students whohave high school credit in college algebra and trigonometry but have not attained a sufficient

score on the UA Math Placement Test to enter calculus. Except as per University policy onrepeating a course, credit will not be given for this course if the student has credit in a higherlevel math course. Such students may be dropped from the course. Examinations are proctored.Grading basis:Regular GradesCareer:CorrespondenceCourse Components: Discussion May Be Offered

Lecture RequiredAlso offered as: MATH 120RHome department: Outreach CollegeEnrollment requirement: Appropriate Math Placement Level or MATH 109C, 111, 112,113,116, 120R or Proctored/Prep for College Algebra 88+ or Proctored/Prep for Calculus 65+.

MATH 122A: Functions for Calculus(1 unit)Description:Elementary functions, their properties, and uses in modeling. A graphingcalculator is required for this course. We recommend the TI-83 or TI-84 models. Calculators thatperform symbolic manipulations, such as the TI-89, NSpire CAS, or HP50g, cannot be used.Grading basis:Student Option ABCDE/PFCareer:UndergraduateCourse Components: Lecture RequiredRepeatable: Course can be repeated a maximum of 2 times.Course typically offered: Fall, Spring, Summer 1 and 2Enrollment requirement: Appropriate Math Placement Level or Proctored/Prep for Calculus75+, or MATH 120R, (MATH 110 TC OK and 111), (MATH 112 TC OK and 111), or (MATH 111

TC OK and MATH 112) with C or higher.


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MATH 122B: First-Semester Calculus(4 units)Description:An introduction to first-semester calculus for engineering, science and mathstudents, from rates of change to integration, with an emphasis on understanding, problemsolving, and modeling. Topics covered include key concepts of derivative and definite integral,techniques of differentiation, and applications, using algebraic and transcendental functions. Agraphing calculator is required for this course. We recommend the TI-83 or TI-84 models.

Calculators that perform symbolic manipulations, such as the TI-89, NSpire CAS, or HP50g,cannot be used. Examinations are proctored. Except as per University policy on repeating acourse, credit will not be given for this course if the student has credit in a higher level mathcourse. Such students may be dropped from the course.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATH 124, MATH 125, MATH 125-CCCourse typically offered: Fall, Spring, Summer 1 and 2Recommendations and additional information: MATH 122A.Enrollment requirement: C or better, or concurrent enrollment in MATH 122A, transfer creditnot allowed.

MATH 124: Calculus I with Applications(5 units)Description:Introduction to calculus with an emphasis on understanding and problem solving.Concepts are presented graphically and numerically as well as algebraically. Elementaryfunctions, their properties and uses in modeling; the key concepts of derivative and definiteintegral; techniques of differentiation, using the derivative to understand the behavior offunctions; applications to optimization problems in physics, biology and economics. A graphingcalculator is required in this course. Students must have credit for Math 120R, or, both Math 112and Math 111 with a grade of C or higher in order to be eligible to register for this course.Except as per University policy on repeating a course, credit will not be given for this course ifthe student has credit in a higher level math course. Such students may be dropped from thecourse. Examinations are proctored.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATH 122B, MATH 125, MATH 125-CCCourse typically offered: Fall, Spring, Summer 1 and 2Enrollment requirement: Appropriate Math Placement Level or Proctored/Prep for Calculus75+, or MATH 120R, (MATH 110 TC OK and 111), (MATH 112 TC OK and 111), or (MATH 111TC OK and MATH 112) or MATH 125.Shared Unique Number: SUN# MAT 2220


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MATH 125: Calculus I(3 units)Description:An accelerated version of MATH 124 or MATH 122B. Introduction to calculus withan emphasis on understanding and problem solving. Concepts are presented graphically andnumerically as well as algebraically. Elementary functions, their properties and uses inmodeling; the key concepts of derivative and definite integral; techniques of differentiation, usingthe derivative to understand the behavior of functions; applications to optimization problems in

physics, biology and economics. A graphing calculator is required for this course. Werecommend the TI-83 or TI-84 models. Calculators that perform symbolic manipulations, suchas the TI-89, NSpire CAS, or HP50g, cannot be used. Except as per University policy onrepeating a course, credit will not be given for this course if the student has credit in a higherlevel math course. Such students may be dropped from the course. Examinations are proctored.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATH 122B, MATH 124Also offered as: MATH 125-CCCourse typically offered: Fall, Spring, Summer 1 and 2Enrollment requirement: Appropriate Math Placement Level or Proctored/Prep for Calculus90+ or MATH 125.Special Exam: Special Exam Credit OnlyMATH 125-CC: Calculus I(3 units)Description:An accelerated version of MATH 124 or MATH 122B. Introduction to calculus withan emphasis on understanding and problem solving. Concepts are presented graphically andnumerically as well as algebraically. Elementary functions, their properties and uses inmodeling; the key concepts of derivative and definite integral; techniques of differentiation, usingthe derivative to understand the behavior of functions; applications to optimization problems inphysics, biology and economics. A graphing calculator is required for this course. Werecommend the TI-83 or TI-84 models. Calculators that perform symbolic manipulations, suchas the TI-89, NSpire CAS, or HP50g, cannot be used. Except as per University policy onrepeating a course, credit will not be given for this course if the student has credit in a higherlevel math course. Such students may be dropped from the course. Examinations are proctored.Grading basis:Regular GradesCareer:CorrespondenceCourse Components: Lecture RequiredEquivalent to: MATH 122B, MATH 124Also offered as: MATH 125Home department: Outreach CollegeEnrollment requirement: Appropriate Math Placement Level or Proctored/Prep for Calculus75+, or MATH 120R, (MATH 110 TC OK and 111), (MATH 112 TC OK and 111), or (MATH 111TC OK and MATH 112) or MATH 125.

Special Exam: Special Exam Credit Only


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MATH 129: Calculus II(3 units)Description:Continuation of MATH 124 or MATH 125. Techniques of symbolic and numericalintegration, applications of the definite integral to geometry, physics, economics, and probability;differential equations from a numerical, graphical, and algebraic point of view; modeling usingdifferential equations, approximations by Taylor series. A graphing calculator is required for thiscourse. We recommend the TI-83 or TI-84 models. Calculators that perform symbolic

manipulations, such as the TI-89, NSpire CAS, or HP50g, cannot be used. Examinations areproctored.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATH 125BAlso offered as: MATH 129-CCCourse typically offered: Fall, Spring, Summer 1 and 2Recommendations and additional information: Credit allowed for only one of the following:MATH 129 or MATH 250A.Enrollment requirement: Appropriate Math Placement Level or (MATH 124, 122B, 125 or 129with C or higher).Special Exam: Special Exam Credit OnlyShared Unique Number: SUN# MAT 2230MATH 129-CC: Calculus II(3 units)Description:Continuation of MATH 124 or MATH 125. Techniques of symbolic and numericalintegration, applications of the definite integral to geometry, physics, economics, and probability;differential equations from a numerical, graphical, and algebraic point of view; modeling usingdifferential equations, approximations by Taylor series. A graphing calculator is required for thiscourse. We recommend the TI-83 or TI-84 models. Calculators that perform symbolicmanipulations, such as the TI-89, NSpire CAS, or HP50g, cannot be used. Examinations areproctored.

Grading basis:Regular GradesCareer:CorrespondenceCourse Components: Lecture RequiredEquivalent to: MATH 125BAlso offered as: MATH 129Recommendations and additional information: Credit allowed for only one of the following:MATH 129 or MATH 250A.Home department: Outreach CollegeSpecial Exam: Special Exam Credit OnlyShared Unique Number: SUN# MAT 2230


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MATH 163: Basic Statistics(3 units)Description:Organizing data: displaying distributions, measures of center, measures ofspread, scatterplots, correlation, regression, and their interpretation. Design of experiments:simple random samples and their sampling distribution, models from probability, normaldistributions, and normal approximations. Statistical inference: confidence intervals andhypothesis testing, t procedures and chi-square tests. Not intended for those who plan further

studies in statistics. Except as per University policy on repeating a course, credit will not begiven for this course if the student has credit in a higher level math course. Such students maybe dropped from the course. Examinations are proctored.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATH 263, MATH 263-CCAlso offered as: MATH 163-CCCourse typically offered: Fall and SpringEnrollment requirement: Appropriate Math Placement Level or Proctored/Prep for CollegeAlgebra 88+ or Proctored/Prep for Calculus 65+ or MATH 109C, 110, 112, 113, 116, 120R,122B, 124, 125 or 129 (Transfer credit for MATH 124, 125,129 okay).

MATH 163-CC: Basic Statistics(3 units)Description:Organizing data: displaying distributions, measures of center, measures ofspread, scatterplots, correlation, regression, and their interpretation. Design of experiments:simple random samples and their sampling distribution, models from probability, normaldistributions, and normal approximations. Statistical inference: confidence intervals andhypothesis testing, t procedures and chi-square tests. Not intended for those who plan furtherstudies in statistics. Except as per University policy on repeating a course, credit will not begiven for this course if the student has credit in a higher level math course. Such students maybe dropped from the course. Examinations are proctored.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATH 263, MATH 263-CCAlso offered as: MATH 163Home department: Outreach CollegeEnrollment requirement: Appropriate Math Placement Level or Proctored/Prep for CollegeAlgebra 88+ or Proctored/Prep for Calculus 65+ or MATH 109C, 110, 112, 113, 116, 120R,122B, 124, 125 or 129 (Transfer credit for MATH 124, 125,129 okay).


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MATH 196A: Tutoring in the Schools(1 unit)Description:This course is designed to introduce the mathematics teaching profession tomathematically talented college students. Students are given opportunities to observe and tutorin middle and high school mathematics classrooms. Additionally, class time will be dedicated todeveloping tutor techniques, examining learning styles, and exploring various methods ofinstruction. Readings, reflections, discussions, and group work will facilitate student

understanding of the teaching and learning of mathematics. Students with a math placementlevel of calculus or higher will be given preference in the application processGrading basis:Alternative GradesCareer:UndergraduateCourse Components: Seminar RequiredCourse typically offered: Fall and SpringRecommendations and additional information: Students must apply for the course. Theapplication can be found at http://crr.math.arizona.edu . Students with a math placement level ofcalculus or higher will be given preference in the application process.

MATH 196K: Business Calculus Supplemental Instruction Seminar(1 unit)Description:This course is designed as a complement to MATH 116. Students enrolled in thecourse will participate in a weekly problem session pertaining to material covered in MATH 116.Concurrent registration in MATH 116 is required.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Seminar RequiredRepeatable: Course can be repeated a maximum of 2 times.Course typically offered: Fall and SpringRecommendations and additional information: Concurrent registration: MATH 116.

MATH 196L: Precalculus Supplemental Instruction Seminar(1 unit)Description:This course is designed as a complement to MATH 120R. Students enrolled in

the course will participate in a weekly problem session pertaining to material covered in MATH120R. Concurrent registration in MATH 120R is required.Grading basis:Alternative GradesCareer:UndergraduateCourse Components: Seminar RequiredRepeatable: Course can be repeated a maximum of 2 times.Course typically offered: FallRecommendations and additional information: Concurrent registration in MATH 120R.


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MATH 196M: Calculus I Supplemental Instruction Seminar(1 unit)Description:This course is designed as a complement to MATH 122B or MATH 124. Studentsenrolled in the course will participate in a weekly problem session pertaining to material coveredin MATH 122B or MATH 124. Concurrent registration in MATH 122B or MATH 124 is required.Grading basis:Regular GradesCareer:Undergraduate

Course Components: Seminar RequiredRepeatable: Course can be repeated a maximum of 1 times.Course typically offered: Fall and SpringRecommendations and additional information: Concurrent enrollment in: MATH 122B orMATH 124.

MATH 196N: Calculus II Supplemental Instruction Seminar(1 unit)Description:This course is designed as a complement to MATH 129. Students enrolled in thecourse will participate in a weekly problem session pertaining to material covered in MATH129.Concurrent registration in MATH 129 is required.Grading basis:Alternative GradesCareer:UndergraduateCourse Components: Seminar RequiredRepeatable: Course can be repeated for a maximum of 2 units.Course typically offered: Fall and SpringRecommendations and additional information: Concurrent enrollment, MATH 129.

MATH 196V: Vector Calculus Supplemental Instruction Seminar(1 unit)Description:This course is designed as a complement to Math 223. Students enrolled in thecourse will participate in a weekly problem session pertaining to material covered in Math 223.Concurrent registration in Math 223 is required.Grading basis:Alternative GradesCareer:Undergraduate

Course Components: Seminar RequiredRepeatable: Course can be repeated a maximum of 2 times.Course typically offered: Fall and SpringRecommendations and additional information: Concurrent enrollment, MATH 223.

MATH 199: Independent Study(1 - 5 units)Description:Qualified students working on an individual basis with professors who haveagreed to supervise such work.Grading basis:Alternative Grading: S, P, FCareer:UndergraduateCourse Components: Independent Study RequiredRepeatable: Course can be repeated a maximum of 99 times.

Course typically offered: Fall, Spring, Summer 1 and 2


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MATH 199H: Honors Independent Study(1 - 5 units)Description:Qualified students working on an individual basis with professors who haveagreed to supervise such work.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Independent Study Required

Repeatable: Course can be repeated a maximum of 99 times.Course typically offered: Fall and SpringEnrollment requirement: Student must be active in the Honors College.Honors Course: Honors CourseMATH 202: Introduction to Symbolic Logic(3 units)Description:Truth-functional logic and quantification theory; deductive techniques andtranslation into symbolic notation.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture Required

Equivalent to: MATH 202Also offered as: LING 202, PHIL 202Course typically offered: FallHome department: Philosophy

MATH 205: Teaching Secondary Mathematics(3 units)Description:This course is an introduction to secondary mathematics teaching. It isappropriate for students exploring secondary mathematics teaching as a career and required forstudents declaring a mathematics major in the mathematics education option. This is amathematics pedagogy course in the Secondary Mathematics Education Program in theDepartment of Mathematics.Grading basis:Regular Grades

Career:UndergraduateCourse Components: Lecture RequiredCourse typically offered: Fall and SpringRecommendations and additional information: MATH 124; Sophomore standing as mathmajor with mathematics education option.Enrollment requirement: Appropriate Math Placement Level or (MATH 129, MATH 250A,MATH 223 or MATH 254).


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MATH 215: Introduction to Linear Algebra(3 units)Description:Introduction to Linear Algebra. Vector spaces, linear transformations and matricesincluding eigenvalues and eigenvectors. There is some emphasis on the writing of proofs.Examinations are proctored.Grading basis:Student Option ABCDE/PFCareer:Undergraduate

Course Components: Lecture RequiredCourse typically offered: Fall, Spring, Summer 1 and 2Enrollment requirement: Appropriate Math Placement Level or one of (MATH 129 , MATH250A, MATH 223, MATH 243, MATH 254, or CSC 245).

MATH 223: Vector Calculus(4 units)Description:Vectors, differential and integral calculus of several variables. Examinations areproctored.Grading basis:Student Option ABCDE/PFCareer:UndergraduateCourse Components: Lecture RequiredAlso offered as: MATH 223-CCCourse typically offered: Fall, Spring, Summer 1 and 2Enrollment requirement: MATH 129, 223 or 250A with C or better.Special Exam: Special Exam Credit OnlyShared Unique Number: SUN# MAT 2241MATH 223-CC: Vector Calculus(4 units)Description:Vectors, differential and integral calculus of several variables. Examinations areproctored.Grading basis:Student Option ABCDE/PFCareer:CorrespondenceCourse Components: Lecture Required

Also offered as: MATH 223Home department: Outreach CollegeSpecial Exam: Special Exam Credit OnlyShared Unique Number: SUN# MAT 2241MATH 243: Discrete Mathematics in Computer Science(3 units)Description:Set theory, logic, discrete structures; induction and recursion; graphs andnetworks; techniques of proof. Examinations are proctored.Grading basis:Student Option ABCDE/PFCareer:UndergraduateCourse Components: Lecture RequiredAlso offered as: MATH 243-CC

Course typically offered: Fall, Spring, Summer 1 and 2Recommendations and additional information: Concurrent reqistration: MATH 129 or MATH250A.Shared Unique Number: SUN# MAT 2227


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MATH 243-CC: Discrete Mathematics in Computer Science(3 units)Description:Set theory, logic, discrete structures; induction and recursion; graphs andnetworks; techniques of proof. Examinations are proctored.Grading basis:Student Option ABCDE/PFCareer:CorrespondenceCourse Components: Lecture Required

Also offered as: MATH 243Recommendations and additional information: Concurrent reqistration: MATH 129 or MATH250A.Home department: Outreach CollegeShared Unique Number: SUN# MAT 2227MATH 250A: Calculus and Differential Equations I(3 units)Description:Integral calculus with applications, techniques of integration, solving first orderdifferential equations using separation of variables, introduction to autonomous first orderdifferential equations. The sequence MATH 250A-250B substitutes for the pair of coursesMATH 129-254 or the pair MATH 129-355; however, MATH 250A alone does not substitute forMATH 129.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Discussion May Be Offered

Lecture RequiredCourse typically offered: FallRecommendations and additional information: Credit allowed for only one of the following:MATH 250A or MATH129.Enrollment requirement: (MATH 124 or MATH 125 or Math Placement Level 6,1 or 2) and(PCAL or PPCL 90-100%).

MATH 250B: Calculus and Differential Equations II(3 units)

Description:First order differential equations and modeling, approximations and series, secondorder differential equations, linear and nonlinear autonomous systems. The sequence MATH250A-250B substitutes for the pair of courses MATH 129-254 or the pair MATH 129-355;however, MATH 250B alone does not substitute for MATH 254 or MATH 355.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Discussion Required

Lecture RequiredEquivalent to: MATH 254, MATH 254-CC, MATH 355, MATV 355Course typically offered: SpringRecommendations and additional information: Credit allowed for only one of the following:MATH 250B, MATH 254, or MATH 355.

Enrollment requirement: MATH 250A (No transfer credit allowed).


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MATH 254: Introduction to Ordinary Differential Equations(3 units)Description:Solution methods for ordinary differential equations, qualitative techniques;includes matrix methods approach to systems of linear equations and series solutions.Examinations are proctored.Grading basis:Student Option ABCDE/PFCareer:Undergraduate

Course Components: Discussion May Be OfferedLecture Required

Equivalent to: MATH 250B, MATH 355, MATV 355Also offered as: MATH 254-CCCourse typically offered: Fall, Spring, Summer 1 and 2Recommendations and additional information: Credit allowed for only one of these courses:MATH 254, MATH 355 or MATH 250B.Enrollment requirement: MATH 129, 223 or 250A with C or better.Shared Unique Number: SUN# MAT 2262MATH 254-CC: Introduction to Ordinary Differential Equations(3 units)Description:Solution methods for ordinary differential equations, qualitative techniques;includes matrix methods approach to systems of linear equations and series solutions.Examinations are proctored.Grading basis:Student Option ABCDE/PFCareer:CorrespondenceCourse Components: Discussion May Be Offered

Lecture RequiredEquivalent to: MATH 250B, MATH 355, MATV 355Also offered as: MATH 254Home department: Outreach CollegeShared Unique Number: SUN# MAT 2262

MATH 263: Introduction to Statistics and Biostatistics(3 units)Description:Organizing data; distributions, measures of center and spread, scatterplots,nonlinear models and transformations, correlation, regression. Design of experiments: modelsfrom probability, discrete and continuous random variables, normal distributions, samplingdistributions, the central limit theorem. Statistical inference; confidence intervals and test ofsignificance, t procedures, inference for count data, two-way tables and chi-square procedures,inference for regression, analysis of variance. Examinations are proctored.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATH 163, MATH 163-CCAlso offered as: MATH 263-CC

Course typically offered: Fall and SpringEnrollment requirement: Appropriate Math Placement Level or Proctored/Prep for CollegeAlgebra 88+ or Proctored/Prep for Calculus 65+ or MATH 109C, 110, 112, 113, 116, 120R,122B, 124, 125 or 129 (Transfer credit for MATH 124, 125,129 okay).


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MATH 263-CC: Introduction to Statistics and Biostatistics(3 units)Description:Organizing data; distributions, measures of center and spread, scatterplots,nonlinear models and transformations, correlation, regression. Design of experiments: modelsfrom probability, discrete and continuous random variables, normal distributions, samplingdistributions, the central limit theorem. Statistical inference; confidence intervals and test ofsignificance, t procedures, inference for count data, two-way tables and chi-square procedures,

inference for regression, analysis of variance. Examinations are proctored.Grading basis:Regular GradesCareer:CorrespondenceCourse Components: Lecture RequiredEquivalent to: MATH 163, MATH 163-CCAlso offered as: MATH 263Home department: Outreach CollegeEnrollment requirement: Appropriate Math Placement Level or Proctored/Prep for CollegeAlgebra 88+ or Proctored/Prep for Calculus 65+ or MATH 109C, 110, 112, 113, 116, 120R,122B, 124, 125 or 129 (Transfer credit for MATH 124, 125,129 okay).

MATH 293: Internship(1 - 10 units)Description:Specialized work on an individual basis, consisting of training and practice inactual service in a technical, business, or government establishment.Grading basis:Alternative Grading: S, P, FCareer:UndergraduateCourse Components: Independent Study RequiredCourse typically offered: Fall, Spring, Summer 1 and 2

MATH 294A: Problem-Solving Laboratory(1 unit)Description:The practical application, on an individual basis, of previously studied theory andthe collection of data for future theoretical interpretation.Grading basis:Alternative Grading: S, P, F

Career:UndergraduateCourse Components: Independent Study RequiredRepeatable: Course can be repeated a maximum of 99 times.Course typically offered: Fall and Spring

MATH 299: Independent Study(1 - 5 units)Description:Qualified students working on an individual basis with professors who haveagreed to supervise such work.Grading basis:Alternative Grading: S, P, FCareer:UndergraduateCourse Components: Independent Study RequiredRepeatable: Course can be repeated a maximum of 99 times.

Course typically offered: Fall, Spring, Summer 1 and 2


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Repeatable: Course can be repeated a maximum of 99 times.Course typically offered: Fall, Spring, Summer 1 and 2Enrollment requirement: Student must be active in the Honors College.Honors Course: Honors CourseMATH 302A: Understanding Elementary Mathematics (A)(3 units)Description:Development of a basis for understanding the common processes in elementarymathematics related to whole numbers, fractions, integers, and probability. This course is forelementary education majors only. Examinations are proctored.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredCourse typically offered: Fall, Spring, Summer 1 and 2Enrollment requirement: Major: ECED, ELEM, PRED, or SER. Appropriate Math Placement orProctored/Prep for College Algebra 88+ or Proctored/Prep for Calculus 65+ or MATH 105,109C, 111, 112, 113, 116, 120R, 122B 124, 125, 163, 263 (Transfer credit for MATH 125, 163,263 okay).

MATH 302B: Understanding Elementary Mathematics (B)(3 units)Description:Development of a basis for understanding the common processes in elementarymathematics related to estimation, graphing of functions, measurement, geometry, and dataanalysis. This course is for elementary education majors only. Examinations are proctored.Grading basis:Regular Grades

Career:UndergraduateCourse Components: Lecture RequiredCourse typically offered: Fall, Spring, Summer 1 and 2Enrollment requirement: Major: ECED, ELEM, PRED, or SER. (Math Placement Level 2q, 4q,5q or Q) or (MATH 302A.)

MATH 315: Introduction to Number Theory and Modern Algebra(3 units)Description:Divisibility properties of integers, primes, congruencies, quadratic residues,number-theoretic functions.Grading basis:Student Option ABCDE/PFCareer:UndergraduateCourse Components: Lecture Required

Equivalent to: MATV 315Course typically offered: SpringEnrollment requirement: Appropriate Math Placement Level or MATH 215.


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MATH 322: Mathematical Analysis for Engineers(3 units)Description:Complex functions and integration, line and surface integrals, Fourier series,partial differential equations.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Discussion May Be Offered

Lecture RequiredEquivalent to: MATH 422Course typically offered: Fall and SpringRecommendations and additional information: Credit allowed for only one of the following:MATH 322 or MATH 422.Enrollment requirement: MATH 250B, 254 or 355.

MATH 323: Formal Mathematical Reasoning and Writing(3 units)Description:Elementary real analysis as an introduction to abstract mathematics and the useof mathematical language. Elementary logic and quantifiers; manipulations with sets, relationsand functions, including images and pre-images; properties of the real numbers; supreme andinfimum; other topics selected from cardinality, the topology of the real line, sequence and limitsof sequences and functions; the emphasis throughout is on proving theorems.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATV 323Course typically offered: Fall, Spring, Summer 1 and 2Enrollment requirement: Appropriate Math Placement Level or MATH 215.Writing Emphasis: Writing Emphasis CourseMATH 330: Topics in Geometry(3 units)Description:Topics to be selected from 2- and 3-dimensional combinatorial geometry,

Euclidean transformational geometry, symmetry, geometric optimization (shortest pathproblems), theorem of the arithmetic and geometric means, isoperimetric problem, polyhedra,and 3- and... 2-dimensional crystallography.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATV 330Course typically offered: FallRecommendations and additional information: MATH 215.Enrollment requirement: MATH 215 or MATH 410


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MATH 355: Analysis of Ordinary Differential Equations(3 units)Description:Linear and nonlinear equations; basic solution techniques; qualitative andnumerical methods; systems of equations; computer studies; applications drawn from physical,biological and social sciences.Grading basis:Regular GradesCareer:Undergraduate

Course Components: Lecture RequiredEquivalent to: MATH 250B, MATH 254, MATH 254-CC, MATV 355Course typically offered: Fall and SpringEnrollment requirement: Appropriate Math Placement Level or MATH 215.

MATH 361: Statistics for Teaching(3 units)Description:Intended for students of mathematics interested in education, this course preparesstudents to teach an introductory statistics course. Focusing on statistical inference, the coursehas two goals in addition to teaching the statistical techniques. One is theoretical: To explorethe links between probability, statistics, and calculusshowing students the mathematicalunderpinnings. The second is applied: Provides experience with real data sets that bear oneducation.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredCourse typically offered: Fall, Spring, Summer 1 and 2Recommendations and additional information: MATH 223 and MATH 215 or equivalent.Credit allowed for only one of MATH 361, MATH 263, or MATH 363.Honors Course: Honors ContractMATH 362: Introduction to Probability Theory(3 units)Description:Sample spaces, random variables and their properties, with considerableemphasis on applications. Computer exercises and hands-on activities will be used in class to

introduce the concepts.Grading basis:Student Option ABCDE/PFCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATV 362Course typically offered: Fall and Spring


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MATH 363: Introduction to Statistical Methods(3 units)Description:In Introduction to Statistical Methods, we shall be using your background inbiology and your previous knowledge of calculus and differential equations to consider theissues of collection, model derivation and analysis, interpretation, explanation, and presentationof data. Even though our examples derive mainly from the life sciences, statistics is applicableto a wide variety of academic disciplines, from the natural and social sciences to the humanities.

Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredCourse typically offered: Fall and SpringRecommendations and additional information: MATH 250B; or MATH 223 and MATH 254.MATH 254 may be taken concurrently.Honors Course: Honors ContractMATH 368: An Introduction to the Mathematics of Investing(3 units)Description:[Taught Spring semester in even-numbered years] Practical investment topics(interest, inflation, annuities, student loans, mortgages, credit cards, bonds, stocks) are used tomotivate mathematical ideas (existence theorems, uniqueness theorems, proof by induction,proof by contradiction, recurrence relations, arithmetic-geometric mean, Cauchy inequality).Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredAlso offered as: MATH 368-CCCourse typically offered: Spring, Summer 1 & Summer 2Recommendations and additional information: MATH 129.

MATH 368-CC: An Introduction to the Mathematics of Investing(3 units)Description:[Taught Spring semester in even-numbered years] Practical investment topics(interest, inflation, annuities, student loans, mortgages, credit cards, bonds, stocks) are used to

motivate mathematical ideas (existence theorems, uniqueness theorems, proof by induction,proof by contradiction, recurrence relations, arithmetic-geometric mean, Cauchy inequality).Grading basis:Regular GradesCareer:CorrespondenceCourse Components: Lecture RequiredAlso offered as: MATH 368Home department: Outreach College

MATH 393: Internship(1 - 10 units)Description:Specialized work on and individual basis, consisting of training and practice inactual service in a technical, business, or government establishment.Grading basis:Alternative Grading: S, P, F

Career:UndergraduateCourse Components: Independent Study RequiredCourse typically offered: Fall, Spring, Summer 1 and 2


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MATH 396C: Undergraduate Research Seminar(1 unit)Description:Several different faculty members will present 2-4 lectures each on researchtopics/projects in which undergraduates can become involved. This course may not be used tofulfill degree requirements for the math major or minor.Grading basis:Student Option ABCDE/PFCareer:Undergraduate

Course Components: Seminar RequiredRepeatable: Course can be repeated a maximum of 4 times.Course typically offered: SpringRecommendations and additional information: MATH 223 or MATH 215.

MATH 399: Independent Study(1 - 5 units)Description:Qualified students working on an individual basis with professors who haveagreed to supervise such work.Grading basis:Alternative Grading: S, P, FCareer:UndergraduateCourse Components: Independent Study RequiredRepeatable: Course can be repeated a maximum of 99 times.Course typically offered: Fall, Spring, Summer 1 and 2

MATH 399H: Honors Independent Study(1 - 5 units)Description:Qualified students working on an individual basis with professors who haveagreed to supervise such work.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Independent Study RequiredRepeatable: Course can be repeated a maximum of 99 times.Course typically offered: Fall and SpringEnrollment requirement: Student must be active in the Honors College.

Honors Course: Honors CourseMATH 401A: Symbolic Logic(3 units)Description:Intermediate propositional logic and quantificational theory, natural deduction,axiom systems, elementary metatheorems, introduction to notions of modal logic, selectedtopics in philosophy of logic. Credit allowed for only one of these courses: PHIL 401A, PHIL402.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: CSC 401A, MATH 401AAlso offered as: CSC 401A, PHIL 401A

Co-convened with:Course typically offered: FallHome department: Philosophy


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MATH 401B: Symbolic Logic(3 units)Description:Advanced propositional logic and quantification theory; metatheorems onconsistency, independence, and completeness; set theory, number theory, and modal theory;recursive function theory and Goedel's incompleteness theorem.Grading basis:Regular GradesCareer:Undergraduate

Course Components: Lecture RequiredEquivalent to: CSC 401B, MATH 401BAlso offered as: CSC 401B, PHIL 401BCo-convened with:Course typically offered: SpringHome department: Philosophy

MATH 402: Mathematical Logic(3 units)Description:[Taught Fall semester in even-numbered years] Sentential calculus, predicatecalculus; consistency, independence, completeness, and the decision problem. Designed to beof interest to majors in mathematics or philosophy.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: CSC 402, CSCV 402, CSCV 402, MATV 402, PHIL 402Co-convened with: MATH 502Course typically offered: FallRecommendations and additional information: MATH 124 or MATH 125; experience withtheoretical mathematical reasoning. Credit allowed for only one of these courses: MATH 402 orMATH 401A.

MATH 404: History of Mathematics(3 units)Description:The development of mathematics from ancient times through the 17th century,

with emphasis on problem solving. The study of selected topics from each field is extended tothe 20th century.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredCo-convened with: MATH 504Course typically offered: FallEnrollment requirement: Appropriate Math Placement Level or MATH 323.


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MATH 406A: Curriculum & Assessment in Secondary School Mathematics(4 units)Description:Examination of secondary school mathematics curricula with emphasis on thedevelopment of math topics; study of assessment with emphasis on its alignment withinstruction; and practicum experiences with emphasis on curriculum analysis andimplementation of assessment measures.Grading basis:Regular Grades

Career:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATH 406Course typically offered: SpringRecommendations and additional information: This course is for Math Education majorsonly.Enrollment requirement: MATH 205, MATH 330 and (STCH 310 or EDP 301).

MATH 406B: Methods of Teaching Mathematics in Secondary Schools(4 units)Description:Provides students with knowledge and experience to enable them to becomeeffective secondary school mathematics teachers. Emphasis on modes of instruction, problemsolving, use of technology, assessment, and national standards with special attention to theteaching of geometry, algebra, statistics, and discrete mathematics. Practicum experiencefocuses on effective teaching strategies and techniques used in secondary schools.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredCourse typically offered: FallRecommendations and additional information: MATH 406A, STCH 310. This course is forMath Education majors only.Enrollment requirement: MATH 406A. (No transfer credit allowed).

MATH 407: Synthesis of Mathematical Concepts(3 units)

Description:Math taught in secondary schools from an advanced perspective: Algebra,Geometry, and Discrete Math - with particular emphasis on modeling and investigating the deepmathematics behind "routine" problems.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredCourse typically offered: FallEnrollment requirement: MATH 323 and ( MATH 315 or MATH 415A) and (MATH 330 orMATH 430).


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MATH 410: Matrix Analysis(3 units)Description:The role of matrices in systems of equations; vector spaces and lineartransformations; determinants; eigenvectors and eigenvalues; and applications. This is ageneral introductory course in the theory of matrices.Grading basis:Regular GradesCareer:Undergraduate

Course Components: Lecture RequiredCourse typically offered: Fall, Spring, Summer 1 and 2Recommendations and additional information: Knowledge of matrix operations (ascontained in, for example, MATH 215 or SIE 270). Credit allowed for only one of the following:MATH 410, MATH 413.Enrollment requirement: MATH 250B, 254 or 355.

MATH 413: Linear Algebra(3 units)Description:Vector spaces, linear transformations and matrices, determinants, eigenvaluesand diagonalization, bilinear forms, orthogonal and unitary transformations, Jordan canonicalform.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATV 413Co-convened with: MATH 513Course typically offered: Fall and SpringRecommendations and additional information: Credit allowed for only one of the following:MATH 413, MATH 410.Enrollment requirement: Appropriate Math Placement Level or MATH 323.

MATH 415A: Introduction to Abstract Algebra(3 units)Description:Introduction to groups, rings, and fields.

Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATH 415, MATV 415ACo-convened with: MATH 515ACourse typically offered: FallEnrollment requirement: Appropriate Math Placement Level or MATH 323.


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MATH 415B: Second Course in Abstract Algebra(3 units)Description:A continuation of MATH 415A/515A. Topics may include finite groups, matrixgroups, Galois theory, linear and multilinear algebra, finite fields and coding theory.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture Required

Equivalent to: MATH 416, MATV 415BCo-convened with: MATH 515BCourse typically offered: SpringRecommendations and additional information: MATH 415A.Enrollment requirement: MATH 415A.

MATH 422: Advanced Applied Mathematics(3 units)Description:Applications of vector calculus, complex variables, and Sturm Liouville theory.Fourier series, Fourier and Laplace transforms, and separation of variables in classical partialdifferential equations. This course takes a more mathematical approach than Math 322.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATH 322Co-convened with: MATH 522Course typically offered: Fall and SpringRecommendations and additional information: Credit allowed for only one of the following:MATH 422 or MATH 322.Enrollment requirement: (MATH 215 or MATH 410) and MATH 223 and (MATH 254 or MATH355 or MATH 250B).

MATH 424: Theory of Complex Variables(3 units)Description:Complex numbers, analytic functions, harmonic functions, elementary functions,

complex integration, Cauchy's integral theorem, series representations for analyticfunctions,residue theory, conformal mapping, applications.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATH 421Co-convened with: MATH 524Course typically offered: SpringEnrollment requirement: MATH 250B, 254 or 355.


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MATH 425A: Real Analysis of One Variable(3 units)Description:Continuity and differentiation of functions of one variable. Riemann integration,sequences and series of functions and uniform convergence.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture Required

Equivalent to: MATH 425Co-convened with: MATH 525ACourse typically offered: FallEnrollment requirement: Appropriate Math Placement Level or MATH 323.

MATH 425B: Real Analysis of Several Variables(3 units)Description:Continuity and differentiation in higher dimensions, curves and surfaces; changeof coordinates; theorems of Green, Gauss and Stokes; inverse and implicit function theorems.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture Required

Equivalent to: MATH 426Co-convened with: MATH 525BCourse typically offered: SpringEnrollment requirement: MATH 425A.

MATH 432: Topological Spaces(3 units)Description:Set theory (countability/uncountability), topological spaces and continuous maps,metric spaces, connectedness and compactness, separability axioms and Hausdorff spaces,Tychonoff product theorem, introductory topics from algebraic topology (homotopy,fundamental group) or category theory.Grading basis:Regular GradesCareer:Undergraduate

Course Components: Lecture RequiredCo-convened with: MATH 532Course typically offered: SpringEnrollment requirement: Appropriate Math Placement Level or MATH 323.

MATH 443: Theory of Graphs and Networks(3 units)Description:[Taught Fall semester in even-numbered years] Undirected and directed graphs,connectivity, circuits, trees, partitions, planarity, coloring problems, matrix methods, applicationsin diverse disciplines.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture Required

Equivalent to: CSC 443, CSCV 443, CSCV 443, MATV 443Co-convened with: MATH 543Course typically offered: FallRecommendations and additional information: MATH 323 or MATH 243 or CSC 245.


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MATH 445: Introduction to Cryptography(3 units)Description:[Taught Spring semester in even-numbered years]. Introduction to cryptosystemsand cryptanalysis. Basic number theory and finite fields. Basic complexity theory andprobability. RSA and Diffie-Hellman protocols, factorization and discrete log attacks. Advancedencryption standard. Additional topics as times allows.Grading basis:Regular Grades

Career:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATV 445Course typically offered: SpringRecommendations and additional information: Ability to program in C or Java.Enrollment requirement: Appropriate Math Placement Level or MATH 215.Honors Course: Honors ContractMATH 446: Theory of Numbers(3 units)Description:[Taught Spring semester in odd-numbered years]. Divisibility properties of primes,congruences, quadratic residues, number-theoretic functions, primality, factoring, applications tocrytopgraphy, introduction to algebraic numbers.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: MATV 446Co-convened with: MATH 546Course typically offered: FallEnrollment requirement: Appropriate Math Placement Level or MATH 323.

MATH 447: Combinatorial Mathematics(3 units)Description:[Taught Spring semester in odd-numbered years]. Enumeration and constructionof arrangements and designs; generating functions; principle of inclusion-exclusion; recurrence

relations; a variety of applications.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredCo-convened with: MATH 547Course typically offered: SpringEnrollment requirement: MATH 215 or 243.


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MATH 454: Ordinary Differential Equations and Stability Theory(3 units)Description:General theory of initial value problems, linear systems and phase portraits,linearization of nonlinear systems, stability and bifurcation theory, an introduction to chaoticdynamics.Grading basis:Regular GradesCareer:Undergraduate

Course Components: Lecture RequiredAlso offered as: MATH 454-CCCourse typically offered: FallEnrollment requirement: MATH 250B, 254 or 355.

MATH 454-CC: Ordinary Differential Equations and Stability Theory(3 units)Description:General theory of initial value problems, linear systems and phase portraits,linearization of nonlinear systems, stability and bifurcation theory, an introduction to chaoticdynamics.Grading basis:Regular GradesCareer:CorrespondenceCourse Components: Lecture RequiredAlso offered as: MATH 454Home department: Outreach College

MATH 456: Applied Partial Differential Equations(3 units)Description:Properties of partial differential equations and techniques for their solution: Fouriermethods, Green's functions, numerical methods.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredCo-convened with: MATH 556Course typically offered: Spring

Recommendations and additional information: Some exposure to linear algebra at the levelof MATH 215, MATH 410, MATH 322, or MATH 422 is necessary.Enrollment requirement: MATH 223 and (MATH 254 or MATH 355 or MATH 250B).

MATH 461: Elements of Statistics(3 units)Description:Probability spaces, random variables, standard distributions, point and intervalestimation, tests of hypotheses; includes use of statistical software.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: STAT 461Course typically offered: Spring

Recommendations and additional information: MATH 223.


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MATH 464: Theory of Probability(3 units)Description:Probability spaces, random variables, weak law of large numbers, central limittheorem, various discrete and continuous probability distributions.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture Required

Equivalent to: STAT 464Co-convened with: MATH 564Course typically offered: FallEnrollment requirement: Appropriate Math Placement Level or MATH 323.

MATH 466: Theory of Statistics(3 units)Description:Sampling theory. Point estimation. Limiting distributions. Testing Hypotheses.Confidence intervals. Large sample methods.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture Required

Course typically offered: SpringEnrollment requirement: MATH 464.

MATH 468: Applied Stochastic Processes(3 units)Description:Applications of Gaussian and Markov processes and renewal theory; Wiener andPoisson processes, queues.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: STAT 468Co-convened with: MATH 568Course typically offered: Spring

Recommendations and additional information: MATH 464.Enrollment requirement: MATH 464.

MATH 475A: Mathematical Principles of Numerical Analysis(3 units)Description:Analysis of errors in numerical computations, solution of linear algebraic systemsof equations, matrix inversion, eigenvalues, roots of nonlinear equations, interpolation andapproximation. The software package Matlab (or something similar) is used.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: CSC 475A, CSCV 475A, CSCV 475A, MATV 475ACo-convened with: MATH 575A

Course typically offered: FallRecommendations and additional information: Programming experience at the level of CSC127A or ISTA 130.Enrollment requirement: (MATH 254, 355 or 250B) and MATH 215.


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MATH 475B: Mathematical Principles of Numerical Analysis(3 units)Description:Numerical integration, solution of systems of ordinary differential equations, initialvalue and boundary value problems.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture Required

Equivalent to: CSC 475B, CSCV 475B, CSCV 475B, MATV 475BCourse typically offered: SpringEnrollment requirement: MATH 475A.

MATH 479: Game Theory and Mathematical Programming(3 units)Description:[Taught Spring semester in even-numbered years] Linear inequalities, games ofstrategy, minimax theorem, optimal strategies, duality theorems, simplex method, nonzero sumgames, applications to economics and decision making, Nash theorems.Grading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture RequiredEquivalent to: CSC 479Co-convened with: MATH 579Course typically offered: SpringRecommendations and additional information: MATH 410 or MATH 413 or MATH 415A.

MATH 485: Mathematical Modeling(3 units)Description:Development, analysis, and evaluation of mathematical models for physical,biological, social, and technical problems; both analytical and numerical solution techniques arerequired.Grading basis:Regular GradesCareer:UndergraduateFlat Fee: $21

Course Components: Lecture RequiredCo-convened with: MATH 585Course typically offered: SpringRecommendations and additional information: Programming experience at the level of CSC127A or ISTA 130.Enrollment requirement: (MATH 254, 355 or 250B) and MATH 215.Writing Emphasis: Writing Emphasis Course


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MATH 488: Topics in Mathematical Physics(3 units)Description:Advanced topics in field theories, mathematical theory of quantum mechanics,mathematical theory of statistical mechanics; content variesGrading basis:Regular GradesCareer:UndergraduateCourse Components: Lecture Required

Repeatable: Course can be repeated a maximum of 5 times.Co-convened with: MATH 588Course typically offered: Fall and SpringRecommendations and additional information: MATH 215, MATH 223, MATH 254, MATH425B preferred, knowledge of Special Relativity is necessary.

MATH 493: Internship(1 - 10 units)Description:Specialized work on an individual basis, consisting of training and practice inactual service in a technical, business, or government establishment.Grading basis:Alternative Grading: S, P, FCareer:UndergraduateCourse Components: Independent Study RequiredCourse typically offered: Fall, Spring, Summer 1 and 2

MATH 494C: Secondary Mathematics Student Teaching Practicum(15 units)Description:This practicum is an internship that provides secondary mathematics teacherswith student teaching experiences under the supervision of experienced classroom teachersand a university supervisor. Responsibility for teaching will increase gradually throughout thesemester. A Student Teaching Placement Application must be completed and submitted theprior semester to student teaching. This practicum has student teaching seminars TBD by themathematics education faculty prior to the semester.Grading basis:Alternative Grading: S, P, FCareer:Undergraduate

Course Components: Practicum RequiredRepeatable: Course can be repeated a maximum of 2 times.Course typically offered: Fall and SpringRecommendations and additional information: MATH 406B. Pedagogy courses GPA greateror equal to 2.5. Overall GPA and Major GPA greater or equal to 2.0.

MATH 498: Senior Capstone(1 - 3 units)Description:A culminating experience for majors involving a substantive project thatdemonstrates a synthesis of learning accumulated in the major, including broadlycomprehensive knowledge of the discipline and its methodologies. Senior standing required.Grading basis:Alternative GradesCareer:Undergraduate

Course Components: Independent Study RequiredCourse typically offered: Fall and Spring


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MATH 498H: Honors Thesis(3 units)Description:An honors thesis is required of all the students graduating with honors. Studentsordinarily sign up for this course as a two-semester sequence. The first semester the studentperforms research under the supervision of a faculty member; the second semester the studentwrites an honors thesis.Grading basis:Regular Grades

Career:UndergraduateCourse Components: Independent Study RequiredRepeatable: Course can be repeated for a maximum of 9 units.Course typically offered: Fall and SpringEnrollment requirement: Student must be active in the Honors College.Honors Course: Honors CourseWriting Emphasis: Writing Emphasis CourseMATH 499: Independent Study(1 - 5 units)Description:Qualified students working on an individual basis with professors who haveagreed to supervise such work.Grading basis:Alternative Grading: S, P, FCareer:UndergraduateCourse Components: Independent Study RequiredRepeatable: Course can be repeated a maximum of 99 times.Course typically offered: Fall, Spring, Summer 1 and 2


Repeatable: Course can be repeated a maximum of 99 times.Course typically offered: Fall, Spring, Summer 1 and 2Enrollment requirement: Student must be active in the Honors College.Honors Course: Honors CourseMATH 500A: Research on the Learning of Mathematics for Teachers(3 units)Description:Research on student learning of mathematics with a focus on implications forclassroom practice in the middle grades; topics include number/operation, algebraic reasoning,student motivation, and proportional reasoning.Grading basis:Regular GradesCareer:GraduateCourse Components: Lecture Required

Course typically offered: Summer 1


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MATH 501A: Symbolic Logic(3 units)Description:Intermediate propositional logic and quantificational theory, natural deduction,axiom systems, elementary metatheorems, introduction to notions of modal logic, selectedtopics in philosophy of logic. Graduate-level requirements include an in-depth research projecton a central theme or topic of the course. Courses for which students receive the grade of P(Pass) do not satisfy requirements for the M.A. or Ph.D. or minor in philosophy.

Grading basis:Student Option ABCDE/PFCareer:GraduateCourse Components: Lecture RequiredEquivalent to: CSC 501A, MATH 501AAlso offered as: CSC 501A, PHIL 501ACo-convened with: MATH 401ACourse typically offered: FallHome department: Philosophy

MATH 501B: Symbolic Logic(3 units)Description:Advanced propositional logic and quantification theory; metatheorems onconsistency, independence, and completeness; set theory, number theory, and modal theory;recursive function theory and Goedel's incompleteness theorem. Graduate-level requirementsinclude an in-depth research project on a central theme or topic of the course. Courses forwhich students receive the grade of P (Pass) do not satisfy requirements for the M.A. or Ph.D.or minor in philosophy.Grading basis:Student Option ABCDE/PFCareer:GraduateCourse Components: Lecture RequiredEquivalent to: CSC 501B, MATH 501BAlso offered as: CSC 501B, PHIL 501BCo-convened with: MATH 401BCourse typically offered: Spring

Home department: Philosophy

MATH 502: Mathematical Logic(3 units)Description:[Taught Fall semester in even-numbered years] Sentential calculus, predicatecalculus; consistency, independence, completeness, and the decision problem. Designed to beof interest to majors in mathematics or philosophy. Graduate-level requirements include moreextensive problem sets or advanced projects.Grading basis:Regular GradesCareer:GraduateCourse Components: Lecture RequiredEquivalent to: CSC 502, PHIL 502Also offered as: CSC 502, PHIL 502

Co-convened with: MATH 402Course typically offered: Fall


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MATH 504: History of Mathematics(3 units)Description:The development of mathematics from ancient times through the 17th century,with emphasis on problem solving. The study of selected topics from each field is extended tothe 20th century. Graduate-level requirements include more extensive problem sets oradvanced projects.Grading basis:Regular Grades

Career:GraduateCourse Components: Lecture RequiredCo-convened with: MATH 404Course typically offered: FallRecommendations and additional information: Not applicable to M.A., M.S., or Ph.D.degrees for math majors except for the M.A. teaching option.

MATH 505C: Algebra for Elementary & Middle School Teachers(3 - 4 units)Description:This course focuses on the transition from arithmetic to algebraic thinking,particularly in grades 5-8. The pedagogical approach emphasizes problem-solving, use oftechnology and hands-on materials, communication, and strategies to work with EnglishLanguage Learners.Grading basis:Regular GradesCareer:GraduateCourse Components: Lecture RequiredCourse typically offered: Spring

MATH 505D: Data Analysis and Probability for K-8 Teachers(3 - 4 units)Description:The course focuses on developing a deep understanding of key ideas ofprobability and data analysis in grades K-8. Students will collect, represent and analyze data tomake predictions in real-world situations. Experimental and theoretical probability will bediscussed.Grading basis:Regular Grades

Career:GraduateCourse Components: Lecture RequiredCourse typically offered: Fall

MATH 505E: Number and Operations for K-8 Teachers(3 - 4 units)Description:This course focuses on K-8 concepts about number systems (e.g., wholenumbers, integers, rational numbers) and number operations (meanings and algorithms). Thepedagogical approach emphasizes explorations, use of hands-on materials and communicationof problem-solving strategies.Grading basis:Regular GradesCareer:GraduateCourse Components: Lecture Required

Course typically offered: Spring


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MATH 505F: Geometry and Measurement for K-8 Teachers(3 - 4 units)Description:The course focuses on developing a deep understanding of key ideas of geometryand measurement in grades K-8 (e.g., shape, transformations, different measurements).Students will construct models and use hands-on materials and technology to engage ingeometric problem-solving.Grading basis:Regular Grades

Career:GraduateCourse Components: Lecture RequiredCourse typically offered: Fall

MATH 506A: Research on the Learning of Mathematics(3 units)Description:[Taught Fall semester in even numbered years]. Research on learning theoriesand student learning of mathematics, including number/operation, spatial reasoning, algebra,proof, calculus and advanced topics;

ua math courses offered

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