Math 18, Fall 2019

Math 18 - Linear Algebra (4 units), Fall 2019

Lecture: MWF 12pm-12:50pm in 2250 Ledden Auditorium
Discussion:
- (B01) Th 8am-8:50am in 2208 WLH
- (B02) Th 9am-9:50am in 2208 WLH
- (B03) Th 11am-11:50am in 5402 AP&M
- (B04) Th 12pm-12:50pm in 5402 AP&M
- (B05) Th 2pm-2:50pm in 2301 AP&M
- (B06) Th 3pm-3:50pm in 2301 AP&M
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 Thursday 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, October 18, 12pm-12:50pm. Last names beginning with A-F: 103 Peterson Hall. Last names beginning with G-Z: 2250 Ledden Auditorium.
- Midterm Exam 2: Friday, November 15, 12pm-12:50pm. Last names beginning with T-Z: 103 Peterson Hall. Last names beginning with A-S: 2250 Ledden Auditorium.
- Final Exam: Thursday, December 12, 11:30am-2:30pm. Last names beginning with L-P: HSS 1128A. Last names beginning with A-K or Q-Z: 2250 Ledden Auditorium.
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. You must pass the final exam in order to pass the course.

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

10% MATLAB (5% homework and 5% quiz), 10% MyMathLab Homework, 20% Midterm Exam 1, 20% Midterm Exam 2, 40% Final Exam
10% MATLAB (5% homework and 5% quiz), 10% MyMathLab Homework, 20% Best Midterm Score, 60% Final Exam

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

Instructor Information:
- Leesa B. Anzaldo
TA Information:

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


Sep 27	Section 1.1 - Systems of Linear Equations
Sep 30	Section 1.2 - Row Reduction and Echelon Forms
Oct 2	Section 1.3 - Vector Equations
Oct 4	Section 1.4 - The Matrix Equation Ax=b

Oct 7	Section 1.5 - Solution Sets of Linear Systems
Oct 9	Section 1.7 - Linear Independence
Oct 11	Section 1.8 - Introduction to Linear Transformations Section 1.9 - The Matrix of a Linear Transformation

Oct 14	Section 2.1 - Matrix Operations
Oct 16	Catch-up/Review
Oct 18	Midterm 1. Last names beginning with A-F: 103 Peterson Hall. Last names beginning with G-Z: 2250 Ledden Auditorium.

Oct 21	Section 2.2 - The Inverse of a Matrix Section 2.3 - Characterizations of Invertible Matrices
Oct 23	Section 4.1 - Vector Spaces and Subspaces
Oct 25	Section 4.2 - Null Spaces, Column Spaces, and Linear Transformations

Oct 28	Section 4.3 - Linearly Independent Sets; Bases
Oct 30	Section 4.5 - The Dimension of a Vector Space
Nov 1	Section 4.6 - Rank Section 4.4 - Coordinate Systems

Nov 4	Section 3.1 - Introduction to Determinants Section 3.2 - Properties of Determinants
Nov 6	Section 3.3 - Cramer's Rule, Volume, and Linear Transformations
Nov 8	Section 5.1 - Eigenvectors and Eigenvalues

Nov 11	No class
Nov 13	Catch-up/Review
Nov 15	Midterm 2. Last names beginning with T-Z: 103 Peterson Hall. Last names beginning with A-S: 2250 Ledden Auditorium.

Nov 18	Section 5.2 - The Characteristic Equation
Nov 20	Section 5.3 - Diagonalization
Nov 22	Section 6.1 - Inner Product, Length, Orthogonality Section 6.7 - Inner Product Spaces

Nov 25	Section 6.2 - Orthogonal Sets
Nov 27	Section 6.3 - Orthogonal Projections
Nov 29	No class

Dec 2	Section 6.4 - The Gram-Schmidt Process
Dec 4	Section 7.1 - Diagonalization of Symmetric Matrices, Section 4.7 - Change of Basis
Dec 6	Review

Dec 12	Final Exam: 11:30am-2:30pm. Last names beginning with L-P: HSS 1128A. Last names beginning with A-K or Q-Z: 2250 Ledden Auditorium.

Homework Due Dates (MyMathLab and Textbook Problems)

Thu Oct 10	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)
Thu Oct 10	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)
Thu Oct 17	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)
Thu Oct 31	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) 4.5 (25, 26, 27, 31, 32, 33)
Thu Nov 14	MyMathLab HW 5 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) 3.3 (25, 26, 30, 31, 32) 5.1 (25, 26, 27, 28, 29, 30, 31, 32)
Mon Dec 2	MyMathLab HW 6 5.2 (19, 20, 23, 24) 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)
Thu Dec 5	MyMathLab HW 7 6.3 (22, 23, 24) 6.4 (17, 18, 19, 20, 22)