Math 18 Lecture C00

Math 18 - Linear Algebra (4 units), Winter 2020

Lecture: MWF 3pm-3:50pm in 108 Peterson Hall
Discussion:
- (C01) Th 2pm-2:50pm in 2209 WLH
- (C02) Th 3pm-3:50pm in 2209 WLH
- (C03) Th 4pm-4:50pm in 2209 WLH
- (C04) Th 5pm-5:50pm in 2209 WLH
- (C05) Th 6pm-6:50pm in 2209 WLH
- (C06) Th 7pm-7:50pm in 2209 WLH
- (C07) Th 8pm-8:50pm in 2209 WLH
- (C08) Th 9pm-9:50pm in 2209 WLH
- (C09) Th 6pm-6:50pm in 2208 WLH
- (C10) Th 7pm-7:50pm in 2208 WLH
Course Description: Matrix algebra, Gaussian elimination, determinants. Linear and affine subspaces, bases of Euclidean spaces. Eigenvalues and eigenvectors, quadratic forms, orthogonal matrices, diagonalization of symmetric matrices. Applications. Computing symbolic and graphical solutions using Matlab. Students may not receive credit for both Math 18 and 31AH.
Prerequisites: Math Placement Exam qualifying score, or AP Calculus AB score of 2, or SAT II Math Level 2 score of 600 or higher, or Math 3C, or Math 4C, or Math 10A, or Math 20A. Students who have not completed listed prerequisites may enroll with consent of instructor.
Textbook: Linear Algebra and Its Applications by David C. Lay, fifth edition. This is the textbook available at the UC San Diego bookstore. If you choose to purchase it elsewhere, be aware that you need MyMathLab access, which is included with the bookstore version of the textbook (but not with all versions). Note: you may also forego the physical textbook and just purchase a MyMathLab access code directly from MyMathLab the first time you login; this includes access to the ebook version of the textbook. You may register for MyMathLab for 14 days before paying if you need time to decide.
Homework: Online homework will be due roughly every Monday night. See the table below for the homework due dates. The homework is given through MyMathLab, which you should access under "Tools" in TritonEd. Here are more detailed instructions on accessing MyMathLab. Your final homework score is based on the total possible homework points available. No homework extensions will be given, but any late problems completed up to one week after the original deadline will earn a maximum of 50% of the total score. No homework scores will be dropped. There are also textbook homework problems that we expect you to complete, but these will not be collected or graded. See the table below for the textbook problems.
MATLAB: In applications of linear algebra, the theoretical concepts that you will learn in lecture are used together with computers to solve large scale problems. Thus, in addition to your written homework, you will be required to do homework using the computer language MATLAB. The Math 18 MATLAB Assignments page contains all information relevant to the MATLAB component of Math 18, including due dates. You can do the homework on any campus computer that has MATLAB, and you can also make use of UCSD's MATLAB site license to install MATLAB on your own computer by visiting the MATLAB for UCSD Students page. Questions regarding the MATLAB assignments should be directed to the TAs. There are also tutors available beginning Thursday or Friday of the first week of classes in B432 of AP&M. Please upload your MATLAB homework assignments to Gradescope by the due date according to the instructions found on the Math 18 MATLAB Assignments page; note that late MATLAB homework will not be accepted, but in case you have to miss one MATLAB assignment, your lowest MATLAB homework score will be dropped. There will be a MATLAB quiz at the end of the quarter.
Exams:
- Midterm Exam 1: Friday, January 31, 3pm-3:50pm. Last names beginning with A-B: HSS 1315. Last names beginning with C-Z: PETER 108.
- Midterm Exam 2: Friday, February 21, 3pm-3:50pm, in class.
- Final Exam: Wednesday, March 18, 3pm-6pm, location TBD.
Exam Policies: You may use one 8.5 by 11 inch handwritten, double-sided sheet of notes during each exam (no photocopies allowed). No cell phones, calculators, books, or any other form of assistance are allowed during exams. Work will be graded for both clarity and correctness. Regrades will be available through Gradescope for specific windows of time. No make-up exams will be given.

Grading: Final grades will be calculated as the maximum of the following three grading schemes and using the following table:

10% MATLAB (5% homework and 5% quiz or 10% homework), 10% MyMathLab Homework, 20% Midterm Exam 1, 20% Midterm Exam 2, 40% Final Exam
10% MATLAB (5% homework and 5% quiz or 10% homework), 10% MyMathLab Homework, 20% Best Midterm Score, 60% Final Exam
10% MATLAB (5% homework and 5% quiz or 10% homework), 10% MyMathLab Homework, 30% Worse Midterm, 50% Better Midterm, 0% Final Exam

A+	A	A-	B+	B	B-	C+	C	C-
97	93	90	87	83	80	77	73	70

Instructor Information:
- John Eggers
TA Information:
- (C01) Yibei Cai
  - y1cai@ucsd.edu
  - Office Hours: Thursdays 4pm-5pm in 5218 AP&M (MATLAB hours: in B432 AP&M)
- (C02, C03) Harish Kannan
  - hkannan@ucsd.edu
  - Office Hours: Mondays 4pm-5pm in 6446 AP&M (MATLAB hours: Mondays 11am-12pm in B432 AP&M)
- (C04, C05) Kin (James) Wong
  - k1wong@ucsd.edu
  - Office Hours: Tuesdays 12pm-1pm in 7218 AP&M (MATLAB hours: Wednesdays 2pm-3pm in B432 AP&M)
- (C06) Bairui Chen
  - bac027@ucsd.edu
  - Office Hours: Mondays 2pm-3pm in 5218 AP&M (MATLAB hours: in B432 AP&M)
- (C07, C08) Weixiang (William) Liao
  - wel251@ucsd.edu
  - Office Hours: Wednesdays 5pm-6pm in 2313 AP&M (MATLAB hours: Wednesdays 4pm-4:50pm in B432 AP&M)
- (C09, C10) Xinyi He
  - xih108@ucsd.edu
  - Office Hours: Thursdays 11am-12pm in 5218 AP&M (MATLAB hours: Tuesdays 11am-12pm in B432 AP&M)
Piazza: In addition to going to office hours and forming study groups, students can get help by posting questions/answers here. Full solutions to homework problems may not be posted before the due date.
Academic Accommodations: Students requiring accommodations should provide an OSD letter of certification and OSD accommodation recommendation to the instructor as soon as possible.
Classroom Behavior and Academic Integrity: All members of class should be respectful of one another at all times. Academic dishonesty will not be tolerated. Click here for information on how to promote academic integrity and the consequences of cheating.

Tentative Schedule


Jan 6	Section 1.1 - Systems of Linear Equations
Jan 8	Section 1.2 - Row Reduction and Echelon Forms
Jan 10	Section 1.2 - Row Reduction and Echelon Forms Section 1.3 - Vector Equations
Jan 13	Section 1.3 - Vector Equations Section 1.4 - The Matrix Equation Ax=b
Jan 15	Section 1.4 - The Matrix Equation Ax=b Section 1.5 - Solution Sets of Linear Systems Section 1.7 - Linear Independence
Jan 17	Section 1.7 - Linear Independence Section 1.8 - Introduction to Linear Transformations

Jan 20	No class
Jan 22	Section 1.8 - Introduction to Linear Transformations Section 1.9 - The Matrix of a Linear Transformation
Jan 24	Section 2.1 - Matrix Operations

Jan 27	Section 2.2 - The Inverse of a Matrix Section 2.3 - Characterizations of Invertible Matrices Section 4.1 - Vector Spaces and Subspaces
Jan 29	Catch-up/Review
Jan 31	Midterm 1. Last names beginning with A-B: HSS 1315. Last names beginning with C-Z: PETER 108.

Feb 3	Section 4.1 - Vector Spaces and Subspaces
Feb 5	Section 4.2 - Null Spaces, Column Spaces, and Linear Transformations Section 4.3 - Linearly Independent Sets; Bases
Feb 7	Section 4.3 - Linearly Independent Sets; Bases Section 4.5 - The Dimension of a Vector Space

Feb 10	No class
Feb 12	Section 4.6 - Rank Section 4.4 - Coordinate Systems
Feb 14	Section 3.1 - Introduction to Determinants Section 3.2 - Properties of Determinants (We will skip Section 3.3.)

Feb 17	No class
Feb 19	Catch-up/Review
Feb 21	*Midterm 2 in PETER 108* or HSS 1315. See TritonEd for your assigned seat.**

Feb 24	Section 5.1 - Eigenvectors and Eigenvalues
Feb 26	Section 5.2 - The Characteristic Equation
Feb 28	Section 5.3 - Diagonalization

Mar 2	Section 6.1 - Inner Product, Length, Orthogonality Section 6.7 - Inner Product Spaces
Mar 4	Section 6.2 - Orthogonal Sets
Mar 6	Section 6.3 - Orthogonal Projections

Mar 9	Section 6.4 - The Gram-Schmidt Process
Mar 11	Section 7.1 - Diagonalization of Symmetric Matrices, Section 4.7 - Change of Basis
Mar 13	Review

Mar 18	Final Exam: 3pm-6pm, location TBD.

Homework Due Dates, Quiz Date (MyMathLab, Textbook Problems, MATLAB)

Thu Jan 16	MyMathLab HW 1 1.1 (23, 24, 28, 33, 34) 1.2 (23, 24, 29, 30, 31, 32) 1.3 (25, 26, 29, 30, 32, 33)
Mon Jan 20	MyMathLab HW 2 1.4 (22, 27, 29, 30, 31, 32, 33, 34, 35, 36) 1.5 (13, 14, 26, 27, 28, 38) 1.7 (23, 26, 29, 36, 37, 38, 39, 40)
Fri Jan 24	MATLAB Assignment 1
Mon Jan 27	MyMathLab HW 3 1.8 (27, 28, 30, 31, 32, 34) 1.9 (29, 30, 31, 32, 35, 36) 2.1 (16, 20, 23, 24, 25, 26, 31, 32)
Fri Feb 7	MATLAB Assignment 2
Mon Feb 10	MyMathLab HW 4 2.2 (11, 13, 15, 21, 22, 24) 2.3 (11, 12, 15, 17, 22) 4.1 (21, 22, 23, 24, 33) 4.2 (25, 26, 31, 33) 4.3 (21, 22, 23, 24)
Mon Feb 17	MyMathLab HW 5 4.5 (25, 26, 27, 31, 32, 33) 4.6 (24, 26, 28, 29, 30, 33) 4.4 (18, 19, 20, 23, 24, 25, 26) 3.1 (39, 40, 43, 44, 45, 46) 3.2 (27, 28, 30, 32, 33, 43, 44, 45)
Fri Feb 21	MATLAB Assignment 3
Mon Mar 2	MyMathLab HW 6 3.3 (25, 26, 30, 31, 32) 5.1 (25, 26, 27, 28, 29, 30, 31, 32) 5.2 (19, 20, 23, 24)
Fri Mar 6	MATLAB Assignment 4
Tue Mar 10	MATLAB Quiz (See the MATLAB website for quiz times.)
Thu Mar 12	MyMathLab HW 7 5.3 (24, 25, 26, 27, 28, 31, 32) 6.1 (24, 26, 28, 29, 30, 31) 6.7 (13, 14, 17, 18, 19, 20) 6.2 (24, 26, 27, 28, 32, 33, 34) 6.3 (22, 23, 24) 6.4 (17, 18, 19, 20, 22)