Syllabus Joe Zyburt Spring 2019 Math 270– Linear Algebra (MiraCosta College) #3366 Instructor Information Name: Mr. Zyburt jzyburt@miracosta.edu http://www.miracosta.edu/home/jzyburt/ Textbook: Linear Algebra and its applications, 4th Edition, Lay, 2012 Supplement: Linear Algebra, Hefferon, 3rd Edition, 2017

Student Learning Outcomes This course introduces students to the concepts of linear algebra. Topics include matrix algebra, Gaussian elimination, determinants, vector spaces and their properties with an introduction to proofs, linear transformations, orthogonality, eigenvalues and eigenvectors, and computational methods. Math 270: For a given set of problems, the student will demonstrate quantitative reasoning by developing a problem-solving strategy, performing appropriate analysis and computation, and critically assessing the meaning of the conclusion or outcome.

Required Materials 1. Calculator Math 270: A graphing calculator is strongly recommended for this course. If you do not already have a graphing calculator, the Mathematics department recommends that you purchase a Texas Instruments TI-83 Plus or TI-84 graphing calculator. On those tests/quizzes where a calculator is permitted, the only allowed models will be the TI 83/84. 2. A notebook (Class Notebook) for note taking and working problems You should treat this class as you would any other math class. Take notes in a notebook, work practice or homework problems on paper in an organized manner. I will typically check your notebook on the day of each exam. However, your notebook will be submitted to be graded at the completion of the course. Be sure to keep it clean, organized, and up to date.

Important Dates

Class Duration

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16-week 1/22 – 5/20 1/22 5/20 2/3 2/3 2/22 4/25

Course policies Grading: Each assignment/test will have an assigned point value. There is a total of 4 exams (each 200 points) and the Class Notebook worth 200 points. That is a total of 1000 points for the semester course.

A B C+ D+ F

≥ 90% ≥ 900 pts

89% - 80% 899 – 800 pts

79% - 70% 799 – 700 pts

69% - 60% 699 – 600 pts

<60% < 600 pts

Tests/Quizzes: All students must take all tests and quizzes. NO test/quiz will be dropped in determining a student’s grade. All make up tests/quizzes for absent students can be taken during the next class meeting the student is in attendance. **Make up exams/quizzes will be a different assessment than originally administered in class. However, these assessments will utilize the same content and/or procedures. **No electronic devices are allowed on tests/quizzes unless pre-approved by Mr. Zyburt** Homework/Classwork Notebook (The Notebook): The Notebook is graded on completeness and correctness. It should contain all notes (this includes definitions and theorems, not including proofs) presented in class and all homework/classwork problems. The notes should be clear, complete, organized, and neat. The homework/classwork should be complete with all necessary steps. Students will receive a point score from 0 – 50 for the notebook handed-in on each exam day (4 exams ↦ 50 pts x 4 = 200 pts total). Incomplete homework/classwork is considered not done and no credit will be given.

Homework Procedure: Students are expected to begin/complete each assignment the day assigned and then complete the assignment prior to the next class meeting. After each completed question or after the entire assignment is completed, students are expected to check their answers with the answers that are posted online. Students need to use a different colored ink pen to mark the incorrect questions. Then, students are required to re-work the problem either after each question OR at the end of the entire assignment. **Students are expected to complete homework assignments by themselves without assistance from anyone else that completes the problem/question for the student and/or a student plagiarizes another’s work. ** Behavior: Students are expected to know appropriate behavior expectations within the classroom. As a guideline students are to be attentive during the lesson, taking notes, and participating appropriately. Class rules and consequences are given below, posted in the classroom, and reviewed during class. A student’s behavior is to be guided by honesty and by respect for themselves, for their classmates, and for their teacher. Any student whose behavior warrants a verbal comment from the teacher is not only disrupting the educational process for other students, but is in danger of further disciplinary action (e.g. parent phone call, detention, referral, etc.…). Rules:

1. Be prepared and in seat when 2nd bell rings. 2. Listen silently and raise your hand to ask questions. 3. Work quietly and follow directions the first time given. 4. Do not interrupt other’s right to learn or my right to teach.

Consequences: 1. Warning. 2. Detention and parent contact. 3. Detention, lower citizenship, and parent meeting. 4. Referral to Assistant Principal.

* In the event of a severe disruption, students will be immediately referred to the office. Electronic Device Use in Classroom: This classroom is considered a BYOD (Bring Your Own Device) friendly classroom. All use of electronic devices in the classroom are for ONLY course/class specific items. Every misuse of electronic devices in class (playing games, making a phone call, texting, accessing non-approved websites, watching unapproved videos, listening to songs at inappropriate times, etc.…) will be subjected to district/school/classroom discipline policies. Violation of the district online use policy may result in

the student being unable to access the Internet during class time. A typical classroom consequence is confiscation of the device (for the remainder of the period) and lunch detention. Repeat offenders will be referred to the Assistant Principal with the possibilities to lose access to electronic devices) during class time. Graphing Calculator Use: The graphing calculator is an essential part of the statistics classroom. To avoid disruptions during classroom time: NO GAMES are allowed to be played on the calculator at any time. This is the only warning. Any student found playing games during class time will have the calculator confiscated and sent to their Assistant Principal. These can then be picked-up by the parents. College Support Services The Tutoring and Academic Support Center (TASC) and the Writing Center (WC) assist students by providing individual and group tutoring, WC drop-ins, learning communities, self-help materials, and student success workshops. Services are free and available to all students during day and evening hours at all MiraCosta College campuses. I recommend that you take advantage of these academic support services. For more specific information, please call (760) 795-6682. Library Resources The MiraCosta College faculty librarians assist students with their research questions, whether academic or personal. Students may obtain assistance from librarians either one-on-one at the reference desk, through class orientations, group workshops, individual appointments, or online. I strongly encourage you to take advantage of library resources. More information regarding the library may be found at their webpage: www.miracosta.edu/library . Pass/No Pass Grading Option You have the option to choose Pass/No Pass grading for this class. If you choose this option, you must submit a Petition for Pass/No Pass to Admissions & Records by (2/22). This option for grading is nonreversible once selected. The petition form is available online, or from Admissions & Records. Students planning to transfer should consult with a counselor before opting for Pass/No Pass to ensure this option is accepted by their intended transfer institutions. Check the MiraCosta College catalog or schedule for more detailed information.

American Disability Act Students with disabilities, whether physical, learning, or psychological, who believe that they may need accommodations in this class, are encouraged to contact Disabled Students Programs & Services as soon as possible to ensure that such accommodations are implemented in a timely manner. Their phone number is 795-6658 and they are in Building 3000-Student Services, Room 3009, adjacent to Parking lot 3C.

Resources Tutoring and Academic Support x6698 or x7748 Disabled Student Program and Services (DSPS) x6658 Counseling x6670 EOPS x6680 Health Services x6675 or x7747 Transfer Center x6880/6580

APC OPEN Hours* OCEANSIDE Testing Office & Academic Proctoring Center, located in Room 3334

Monday, Tuesday, and Friday: 9:00 am - 4:00 pm

Wednesday and Thursday: 9:00 am - 8:00 pm

Saturday and Sunday: Closed

SAN ELIJO Testing Office & Academic Proctoring Center, located in Room 101 Monday, Wednesday, and Thursday: 9:00 am - 4:00 pm*** ***(will close for lunch between 12 noon – 1 pm)

Tuesday, Friday, Saturday, and Sunday: Closed

*These hours are subject to change. Please check with the APC for any updated hours once the semester has begun

Instructor Drop Policy

Students may be dropped (up until the last day to drop that class) for the following reasons:

• Non-attendance o Missing more than three consecutive class meetings. o Missing two different exams may cause you to be dropped from the class without the

possibility of being reinstated if the drop deadline has not yet passed.

Academic Integrity

MiraCosta College highly values academic integrity. At the core, this means an honest representation of one’s own work. MiraCosta College also promotes the approach that education is best accomplished as a cooperative, collaborative enterprise: we want you to work with and learn from each other. The line between academic integrity and collaborative education is not always easy to define and may vary from one discipline to the next and from one instructor to the next. Many aspects of cheating and plagiarism are universally recognized, while others are subject to debate. This policy provides some broad and general guidelines. Please ask me for clarification of any specific behavior. Examples of academic dishonesty include but are not limited to: Cheating: Copying from another student or using unauthorized aids during an examination. Plagiarizing: Copying someone else’s work or ideas and misrepresenting them as one’s own. Falsification: Making up fictitious information and presenting it as real or altering records for the purpose of misrepresentation. Facilitation: Helping another student to cheat, plagiarize, or falsify. Remedies for violations of academic integrity may include a verbal warning, a lowered assignment grade, submission of an Academic Integrity Report to the office of the Vice President of Student Services or designee, or even a recommendation to the Vice President of Student Services for suspension from the class for repeated or egregious offenses. For more information, consult the MiraCosta College Catalog under Student Rights and Responsibilities (Administrative Procedure VIII.E.02.c).

**Students found cheating on any Quiz, Chapter Test, or the Final Exam will receive a zero (0 points = 0%) on that assignment and will not have the ability to drop that score in consideration to the Final Course Grade, not be able to re-take the assessment, or not be allowed to make-up the assignment at a later date. **

Math 270 #3366 Course Calendar

Date Assigned

Class Meeting #

Chapter and Section(s)

Topic(s) Assignment/ Links/ Resources

1/29 0 Introduction Introduction to Linear Algebra What is Linear Algebra?

Read: An Intuitive Guide to Linear Algebra (you may want to print-out and keep) Watch: a) What is Linear Algebra? by N.J. Wildberger (you may want to take some notes, or watch this several times throughout the semester) b) An Overview of Linear Algebra by Gilbert Strang (do not worry that this is for computational science and engineering) c) Essence of Linear Algebra by Grant Sanderson (studied Math and Computer Science at Stanford - has created a set a visual math videos under the name 3Blue1Brown)

F/SP 1/30

1 1.1 Linear Equations in Linear Algebra 1.1: Systems of Linear Algebra

Hw: p.10 (7,8,11,13,15,19,22,26,29,30) Solving Linear Systems Explained and Expanded Vectors, what even are they? | Essence of linear algebra, chapter 1

B 2/1

2 1.2 1.2: Row Reduction and Echelon Forms

Hw: p.22 (3,7,11,15,17,31) More Row Reduction with Parameters Linear combinations, span, and basis vectors | Essence of linear algebra, chapter 2

B 2/5

3 1.3 1.3: Vector Equations

Hw: p.32 (3,5,7,8,9,11,17,19,25,32) Geometry with Vectors (review with a twist) Linear transformations and matrices | Essence of linear algebra, chapter 3

M 2/7

4 1.4 1.4: The Matrix Equation Ax=b

Hw: p.40 (3,5,9,13,15,17,21,25) Applications of Row Reduction (1st half - stop at 26:40 = do not include span set or linear independence) Three-dimensional linear transformations | Essence of linear algebra, footnote

D 2/11

5 1.5 1.6

1.5: Solution Sets of Linear Algebra 1.6: Applications of Linear Systems

Hw: p.47 (3,5,9,11,13,17,19,21,24,33); p.54 (1-15)odd The Geometry of Linear Algebra +Video Lecture Summary Matrix multiplication as composition | Essence of linear algebra, chapter 4

C 2/13

6 1.7 1.7: Linear Independence

Hw: p.60 (3,5,7,9,13,15,19,27,33) Linear Independant (start at 43:30 and go to end of video) Linear Independence, Basis, and Dimension +Video Lecture

Summary Overview of Linear Algebra +Video Lecture Summary Read: 1) System of Linear Equations -wiki (good summary and more...)

2/15 No School

No School Lincoln Day Lincoln Day

2/18 No Schoo

l

No School Presidents Day

Presidents Day

B 2/19

7 1.8 1.8: Introduction to Linear Transformations

Hw: p.68 (1,3,7,9,11,13,17,19,31,32) Nonsquare matrices as transformations between dimensions | Essence of linear algebra, footnote

C 2/21

8 1.9 1.9: The Matrix of a Linear Transformation

Hw: p.78 (1,3,5,7,9,13,15,17,19,21) The Geometry of a System of Linear Equations

D 2/25

9 1.10 1.10: Linear Models in Business, Science, and Engineering

Hw: p.86 (1-14)odd Cross products | Essence of linear algebra, Chapter 8

C 2/27

10 Review Review Chapter 1

Hw: p.88 (1-25) odd

B 3/1

11 Test Chapter 1 Test Hw: TBD

B 3/5

12 2.1 2.2

2.1: Matrix Operations 2.2: The Inverse of a Matrix

Hw: p.100 (1,3,5,7,9,17,25,27); p.109 (1,3,5,7,17,29,31,33) Inverse matrices, column space and null space | Essence of linear algebra, chapter 6

C 3/7

13 2.3 2.3: Characterizations of Invertible Matrices

Hw: p.115 (1,3,7,9,11,13,27,33,35) Cross products in the light of linear transformations | Essence of linear algebra chapter 8 part 2

D 3/11

14 2.4 2.5

2.4: Partitioned Matrices 2.5: Matrix Factorizations

Hw: p.121 (1-13)odd; p.129 (1-15)odd Three Dimensional Affine Geometry (Not necessary for Test, however this video does help you visualize what you have been dealing with)

C 3/13

15 2.8 2.8: Subspaces of Rn

Hw: p.151 (1-25)odd Example of Checking for Basis Property

B 3/15

16 2.9 2.9: Dimension and Rank

Hw: p.157 (1-25)odd Rank and Nullity of a Linear Transformation Linear Subspaces

B 3/19

17 3.1 3.1: Introduction to Determinants

Hw: p.167 (1,3,5,9,11,13,15,23,25,39) The determinant | Essence of linear algebra, chapter 5 Linear Transformation and their Matrices

+Video Lecture Summary Abstract vector spaces | Essence of linear algebra, chapter 11

E 3/21

18 3.2 3.2: Properties of Determinants

Hw: p.175 (3,5,9,11,13,15,23,25,31) Applications of 3x3 Matrices ???

D 3/25

19 3.3 3.3: Cramer's Rule, Volume, and Linear Transformations

Hw: p.184 (1-27)odd Cramer's Rule, Inverse Matrix, and Volume +Video Lecture Summary Sum and Scalar Multiples of Linear Transformations

C 3/27

20 Review Review Chapters 2 and 3

Hw: p.160 (1-13) odd, p.185(1-13,15?)odd Applications of Row Operations: Inverse Matrices (watch from beginning to 11:00 = inverse Matrices)

A 3/29

21 Test Chapter 2-3 Test

Hw: vector Space (start at 20:30 to end of video) +Video Lecture Summary Read: 1) What is a Vector Space? 2) vector Spaces (and more..) Generalized Dilations and Eigenvectors

D 4/2

22 4.1 4.1: Vector Spaces and Subspaces

Hw: p.195 (1,3,7,9,13,17,21,33) Spanning Set (start at 26:40 and end at 43:30) Example of Change of Basis

C 4/4

23 4.2 4.2: Null Spaces, Column Spaces, and Linear Transformations

Hw: p.205 (1,3,5,7,11,17,19,23,33) The Four Fundamental Subspaces +Video Lecture Summary 1) Orthogonal Vectors and Subspaces 2) Projections and Subspaces +Video #1 Lecture Summary +Video #2 Lecture Summary

4/8-4/12

Break

Spring Break Spring Break Spring Break

A 4/15

24 4.3 4.3: Linearly Independent Sets; Bases

Hw: p.213 (1,3,5,9,11,15,19,21,31) Visualizing a Column Space as a plane in 3D Column (Range) vs. Null Space Rank and Nullity Example

C 4/17

25 4.3 4.3: Linearly Independent Sets; Bases

Hw: p.213 (1,3,5,9,11,15,19,21,31) Visualizing a Column Space as a plane in 3D Column (Range) vs. Null Space Rank and Nullity Example

B 4/19

26 4.4 4.4: Coordinate Systems

Hw: p.222 (1,3,5,7,9,11,17) Projection Matrices and Least Squares +Video Lecture Summary

C 4/23

27 4.5 4.5: The Dimension of a Vector Space

Hw: p.229 (1,3,5,7,11,13,17,20,21,25)

B 4/25

28 4.6 4.6: Rank Hw: p.236 (1,3,5,7,11,25,27)

D 4/29

29 4.7 4.7: Change of Basis

Hw: p.242 (1,3,5,7,9,11) Change of basis | Essence of linear algebra, chapter 9 Determinants (watch start to 1:50 for intro, then start at 27:51 and go to end = Determinants)

C 5/1

30 4.9 4.9: Applications to Markov Chains

Hw: p.260 (1-15)odd Properties of Determinants +Video Lecture Summary

A 5/3

31 Review Review Chapter 4

Hw: p.262 (1-5,9,11) Determinant Formulas and Cofactors +Video Lecture Summary

B 5/7

32 Test Chapter 4 Test Hw: Eigenvectors and eigenvalues | Essence of linear algebra, chapter 10

C 5/9

33 5.1 5.1: Eigenvectors and Eigenvalues

Hw: p.271 (1,3,5,7,9,13,17,19,25,31) Similar matrices and Jordan Form +Video Lecture Summary

D 5/13

34 5.2 5.2: The Characteristic Equation

Hw: p.279 (1,3,7,9,10,15,23) Singular Value Decomposition +Video Lecture Summary

C 5/15

35 5.3 5.3: Diagonalization

Hw: p.286 (1,3,9,13,15,17,19,27) Applications of Row Reduction: Eigenvalues/Eigenvectors (watch start to 1:50 for intro, then start at 11:00 and end at 27:50 = Eigenvalues & Eigenvectors) Review #1 +Video Lecture Summary

B 5/17

36 5.4 5.4: Eigenvectors and Linear Transformations

Hw: p.293 (1,5,7,9,11,13) Dot products and duality | Essence of linear algebra, chapter 7

B 5/21

37 6.1 6.1: Inner Product, Length, and Orthogonality

Hw: p.336 (1,3,5,7,9,11,13,15,17,23,25,29)

C 5/23

38 6.2 6.2: Orthogonal Sets

Hw: p.344 (1,3,5,7,11,13,17,21,27) Review #2 +Video Lecture Summary

D 5/28

39 6.3 6.3: Orthogonal Projections

Hw: p.352 (1,3,5,7,11,13,15,17,19) Review #3 +Video Lecture Summary

E 5/30

40 6.4 6.4: The Gram-Schmidt Process

Hw: p.358 (1,3,5,7,9) Orthogonal Matrices and Gram-Schmitt

+Video Lecture Summary Final Course Review +Video Lecture Summary

B 6/3

41 6.5 6.5: Least-Sqaures Problems

Hw: p.366 (1,3,5,7,11,13,15,25) No Video +Final Exam from MIT +Final Exam from MIT-Solutions

C 6/5

42 Review Review Chapters 5 and 6

Hw: p.326 (1-7)odd,13,14,17); p.390 (1,11,14)+ TBD answers 1 answers 2 animation 1 video 1 video 2 choose a video eigenvector - covariance explanation

D 6/7

43 Test Chapter 5-6 Test

K/SP 6/10

44 Exploration/Extension

Extension = 7.1:Diagonalization of Symmetric Matrices

TBD

L 6/12

45 Senior Check-Out Day

Senior Check-Out Day

Senior Check-Out Day

L 6/14

46 Final Exam Final Exam Final Exam