Math 18: Linear Algebra

Spring 2020

Lectures / office hours / Q&A sessions / etc. on Zoom will be recorded and reposted.

Textbook

Linear Algebra and Its Applications (Fifth Edition), David C. Lay,

Pearson 2015, ISBN-10: 0-321-98238-X, ISBN-13: 978-0-321-98238-4.

Course Description

We aim to cover Chapters 1-6 of the textbook. Topics covered in the course will include:

Instructor and TAs

Hang Xu

Email: h9xu@ucsd.edu

Office Location: AP&M 6305

Office Hours: MW 4:00-5:30 pm via Zoom

Haeseong Moon (D01, D02)

Email: h5moon@ucsd.edu

Office Location: AP&M 6446

Office Hours: MW 2:00-3:00 pm via Zoom

Kehan Long (D03, D04)

Email: k3long@ucsd.edu

Office Location: AP&M 6436

Office Hours: TuTh 9:00-10:00 am via Zoom

Finley McGlade (D05, D06)

Email: fmcglade@ucsd.edu

Office Location: AP&M 6436

Office Hours: F 9:30-10:30 am and 3:30-4:30 pm via Zoom.



Lecture (delivered via Zoom)

MWF 1:00-1:50 pm

Discussion Sections (delivered via Zoom)

D01 Th 4:00-4:50 pm

D02 Th 5:00-5:50 pm

D03 Th 6:00-6:50 pm

D04 Th 7:00-7:50 pm

D05 Th 8:00-8:50 pm

D06 Th 9:00-9:50 pm

Grading

Your cumulative average will be:

We will have three exams in total and each exam will be 50 minutes long. You can take it at your convenient time within a given 24 hours time window. We will examine your starting time and submission time on Canvas and Gradescope. Here are the exam schedules:

Follow-up AI checks via Zoom: Our TAs will look for any possible signs of academic misconduct during grading the exam. Any student may be asked to a follow-up Zoom meeting in which they will be asked to justify their work on the exam and show that it was their own work. If the follow-up is unconvincing, or the student is unable or unwilling to engage, their exam will be forwarded to the AI Office for a potential violation.

Your course grade will be determined by your cumulative average at the end of the quarter, and will be based on the following scale:

A+

A

A-

B+

B

B-

C+

C

C-

97

93

90

87

83

80

77

73

70



The above scale is guaranteed: for example, if your cumulative average is 80, your final grade will be at least B-. However, your instructor may adjust the above scale to be more generous.

The detailed online exam instructions are available on Canvas.



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 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. 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.

Gradescope homework

The homework should be submitted directly to Gradescope through Canvas by 8:00 pm on Sundays.

Guidelines for submission through Gradescope:



Course policies



Resources for assistance and tutoring (via Zoom)

SI Leader

SI Session

Amy Park

F 2:00-3:20 pm on Zoom





Accommodations

Students requesting accommodations for this course due to a disability must provide a current Authorization for Accommodation (AFA) letter issued by the Office for Students with Disabilities (OSD) which is located in University Center 202 behind Center Hall. The AFA letter may be issued by the OSD electronically or in hard-copy; in either case, please make arrangements to discuss your accommodations with me in advance (by the end of Week 2. We will make every effort to arrange for whatever accommodations are stipulated by the OSD. For more information, see here.



Academic Integrity

Academic dishonesty is considered a serious offense at UCSD. Students caught cheating will face an administrative sanction which may include suspension or expulsion from the university. It is in your best interest to take pride in your work maintain your academic integrity. (Click here for more information.)

Noise and common courtesy: When class/section begins, please stop your conversations. Wait until class/section is over before putting your materials away in your backpack, standing up, or talking to friends. Do not disturb others by engaging in disruptive behavior. Disruption interferes with the learning environment and impairs the ability of others to focus, participate, and engage.

Electronic devices: Please do not use devices (such as cell phones, laptops, tablets, iPods, smart watches) for non-class-related matters while in class/section. No visual or audio recording is allowed in class/section without prior permission of the instructor (whether by camera, cell phone, or other means).

Tentative schedule (will be updated as the course progresses)

Homework will be posted on Canvas every Wednesday and due 8:00 pm on the next Sunday.

Suggested practice problems will not be turned in nor graded; however, certain exam questions are based on these suggested practice problems. It is highly recommended that you complete them.

Week 1 (3/30, 4/1, 4/3): linear equations, row reduction, echelon forms.

Read 1.1, 1.2.
Homework 1 is available on Canvas.
No homework is due.
Suggested practice problems (these problems will not be turned in nor graded):
Section 1.1: 3, 7, 11, 17, 21, 23, 24.
Section 1.2: 7, 13, 15, 21, 22, 23, 24.

Week 2 (4/6, 4/8, 4/10): vector equation, matrix equation.

Read 1.3, 1.4.
Homework 2 is available on Canvas.
Homework 1 is due on 4/12.
Suggested practice problems (these problems will not be collected nor graded):
Section 1.3: 9, 11, 13, 17, 23, 24.
Section 1.4: 5, 7, 10, 11, 15, 22, 25.

Week 3 (4/13, 4/15, 4/17): solution sets linear independence, linear transformations.

Read 1.5, 1.7, 1.8.
Homework 3 is available on Canvas.
Homework 2 is due on 4/19.
Suggested practice problems (these problems will not be collected nor graded):
Section 1.5: 5, 7, 11, 13, 15, 23, 27.
Section 1.7: 5, 13, 23, 26, 29, 36, 37.

Week 4 (4/20, 4/22, 4/24): linear transformations, review.

Read 1.8, 1.9.
No homework for this week.
Exam I is on Sec 1.1-1.5 and 1.7-1.9.
Practice exam I is available in Canvas Quizzes on April 21.
Suggested practice problems (these problems will not be collected nor graded):
Section 1.8: 4, 10, 12, 20, 27, 30, 31.
Section 1.9: 5, 8, 12, 17, 29, 30, 35.
Homework 3 is due on 4/26.
Week 5 (4/27, 4/29, 5/1): matrix operation, the inverse of a matrix
Read 2.1, 2.2, 2.3.
Homework 4 is available on Canvas.
Exam I is on Monday.
No homework is due on 5/3.
Suggested practice problems (these problems will not be collected nor graded):
Section 2.1: 15, 16, 20, 23, 25, 31, 32.
Section 2.2: 7, 11, 13, 15, 21, 22, 24.
Section 2.3: 5, 11, 12, 13, 15, 17, 18.
5/1 is the last day to drop without ‘W’.

Week 6 (5/4, 5/6, 5/8): vector spaces, null spaces and column spaces

Read 4.1, 4.2, 4.3
Homework 4 is due on 5/10.
Homework 5 is available on Canvas.
Suggested practice problems (these problems will not be collected nor graded):
Section 4.1: 3, 5, 11, 13, 21, 24, 31.
Section 4.2: 5, 9, 17, 25, 26, 31, 33.

Week 7 (5/11, 5/13, 5/15): bases, dimension and rank

Read 4.3, 4.5, 4.6
Homework 5 is due on 5/17.
Homework 6 is available on Canvas.
Exam II is on Sec 2.1, 2.2, 2.3 and 4.1, 4.2, 4.3, 4.5.
Suggested practice problems (these problems will not be collected nor graded):
Section 4.3: 3, 11, 13, 19, 21, 22, 23.
Section 4.5: 3, 7, 11, 19, 21, 25, 26.
5/15 is the last day to drop without ‘F’.
Week 8 (5/18, 5/20, 5/22): rank, coordinate system
Read 4.6, 4.4, 3.1
Exam II is on Monday.
No homework is due on 5/24.
Suggested practice problems (these problems will not be collected nor graded):
Section 4.4: 3, 7, 13, 18. 19, 20, 26.
Section 4.6: 4, 6, 9, 15, 18, 24, 26.

Week 9 (5/27, 5/29): determinant

Read 3.1, 3.2, 5.1
No class on Monday for Memorial Day observance.
Homework 6 is due on 5/31.
Homework 7 is available on Canvas.
Suggested practice problems (these problems will not be collected nor graded):
Section 3.1: 9, 20, 21, 23, 33, 39, 40.
Section 3.2: 7, 19, 20, 27, 30, 31, 32.

Week 10 (6/1, 6/3, 6/5): eigenvalues and eigenvectors, diagonalization

Read 5.1, 5.2, 5.3
Homework 7 is due on 6/7.
Section 5.1: 5, 7, 25, 26, 27, 31, 32.
Section 5.2: 1, 9, 19, 20, 21, 23, 24.
Section 5.3: 1, 3, 5, 11, 24, 25, 27.
Exam III is on Sec 3.1, 3.2, 4.4, 4.6, 5.1, 5.2, 5.3.
6/5 is the last day to change to P/NP grade (update: this is extended to week 11) .


Exam III is on Thursday 6/11.