### Spring 2021 MATH 461 Sections 0211, 0221, 0231

**The final exam of MATH461 will take place at 1:30-3:30pm on Tuesday, May 18.**

Sections included in the final exam: 1.1-1.5, 1.7-1.9, 2.1-2.3, 3.1-3.3, 4.1-4.6, 5.1-5.5, 6.1-6.5, 7.1, 7.2

##### INSTRUCTOR:

Ruiwen Shu, Email: rshu@cscamm.umd.edu.

Office hours: 2:00pm-3:00pm TuTh (on Zoom), and by appointment.

Office hour link: https://umd.zoom.us/j/5108150194

##### LECTURE (all sections):

TuTh 12:30pm-1:45pm, use Zoom through ELMS

##### DISCUSSION:

section 0211: 1:00pm-1:50pm Monday

section 0221: 2:00pm-2:50pm Monday

section 0231: 3:00pm-3:50pm Monday

SYLLABUS: (updated on January 26, 2021)

##### TEXTBOOK:

Linear algebra and its applications, 6th Edition, by David C. Lay, Steven R. Lay and Judi J. McDonald

MATLAB tutorial: https://www.mathworks.com/learn/tutorials/matlab-onramp.html

##### LECTURE NOTES: (filename: date_section)

##### MATLAB PROJECTS:

Read the instruction in the file, and then do the problems. Those problems with a ‘star’ should be explained by words, based on the MATLAB output. After you have done all the problems in a script file ‘filename.m’, type the command publish(‘filename.m’,’pdf’) to create a PDF file. Submit the PDF file to ELMS.

Here is a sample of what the script file and the PDF file should look like:

The projects are a courtesy of Prof. Justin Wyss-Gallifent and Prof. Allan Yashinski. The problems are slightly modified from their original version.

Project 1 (due on Friday, Feb. 19):

Project 2 (due on Friday, Mar. 12):

Project 3 (due on Friday, Apr. 9):

Project 4 (due on Friday, May 7):

##### HOMEWORK:

Homework 1 (due on Friday, Feb. 5): (when solving linear systems, you are suggested to use the row operations as we did in lectures)

sec1.1: 12, 14; sec1.2: 10, 12, 23;

Homework 2 (due on Friday, Feb. 12):

sec1.3: 10, 14, 16; sec1.4: 2, 4, 12; sec1.5: 12, 48

Homework 3 (due on Friday, Feb. 26):

sec1.7: 6, 8; sec1.8: 4, 10; sec2.1: 2, 9, 12

Homework 4 (due on Friday, Mar. 5):

sec2.2: 2, 8, 42, 43

Homework 5 (due on Friday, Mar. 26):

sec3.1: 2, 14, 38; sec3.2: 8, 24; sec3.3 12; sec4.1: 2, 6; sec4.2: 10; sec4.3: 4, 10

Homework 6 (due on Friday, Apr. 2):

sec4.4: 8, 14, 32; sec4.5: 6, 12 (only Nul and Col), 28, 30; sec4.6: 8

Homework 7 (due on Friday, Apr. 16):

sec5.2: 10, 12, 16, 18; sec5.3: 4, 8, 12, 14

Homework 8 (due on Friday, Apr. 23): (Here [T]_B is the matrix of T relative to the basis B. It is also called the B-matrix for T. In class, we introduced this concept but not this notation.)

sec5.4: 4, 8, 10; sec5.5: 2 (you only need to find an eigenvector for each eigenvalue), 8, 14

Homework 9 (due on Friday, Apr. 30):

sec6.1: 6, 8, 10, 14; sec6.2: 2, 6, 10; sec6.3: 6, 10

Homework 10 (due on Friday, May 14):

sec7.1: 10, 12, 18, 20; sec7.2: 6, 10, 14

##### QUIZ/EXAM SOLUTIONS:

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Previous teaching:

At University of Maryland, College Park, as instructor:

Fall 2020~2021 Math 246 (Introduction to ODEs)

Spring 2019~2020 AMSC 460 (numerical methods)

Fall 2019~2020 AMSC 460 (numerical methods), 2 sections

Spring 2018~2019 Math 136 (calculus for life sciences)

Fall 2018~2019 Math 141 (calculus 2)

At University of Wisconsin-Madison, as teaching assistant:

Fall 2017~2018 Math 234 (calculus 3)

Fall 2016~2017 Math 222 (calculus 2)

Fall 2015~2016 Math 234 (calculus 3)

Spring 2014~2015 Math 221 (calculus 1)

Fall 2014~2015 Math 221 (calculus 1)