MATH 102 - Applied Linear Algebra

Finals week office hours: Besides all of our regularly scheduled office hours on Monday-Thursday, Johanna Hennig will run special office hours in AP+M B412, 2:30-4:30 pm on Tuesday and Thursday, 12/6 and 12/8. I will also extend my usual Wednesday office hour to run from 2 pm to 4 pm. There will be no office hours on Friday!

Johanna will *not* be holding her regular Monday office hour on 12/5. Sorry for the confusion on this.

Fall 2011

Instructor: Professor Mark Gross; AP&M 7444; phone 534-2652; email: mgross@math.ucsd.edu

Office hours: 1-2, Mondays, 3-4, Wednesdays and Fridays.

Teaching Assistants: Johanna Hennig; AP&M 5132; e-mail jhennig@math.ucsd.edu (Section A01), Office hours: Monday, 2-3 pm, Tuesday, 2:30-3:30 pm.

Michael Kasa; AP&M 6452; e-mail mkasa@math.ucsd.edu (Sections A02 and A03). Office hours: Monday, 3-4 pm, Tuesday 11:30 am-1:30 pm, Friday 12-1 pm.

Time and place: Lectures are MWF 10:00-10:50 CSB 001

Sections are on Monday in AP&M B402A. (A01 is 4 pm, A02 is 5 pm, A03 is 6pm.)

Final exam is Friday, December 9, 8:00a - 10:59a.

Text: "Linear Algebra and its Applications" by Gilbert Strang, Fourth Edition

Syllabus: Math 102 can be viewed as a sequel to 20F. Our goal is to explore the concepts of linear algebra in more depth, with a view towards real-world applications. We will cover most of the first six chapters of the text. We begin with basic notions of matrices, row reduction, inverses; this should be largely review from 20F. We then turn towards a more abstract point of view, introducing the notion of vector spaces and subspaces, and then consider inner products and orthogonality. Determinants of general matrices, applied to eigenvalue problems, follows. Finally, we will study positive definite matrices.

Homework, grading, etc. There will be weekly problem sets, which will be graded and returned. You are encouraged to work on these problem sets with a small group of other students in the class, but every student should write up his or her own solutions. Please do not just copy answers from available solutions on the internet. This serves no educational purpose: working on homework problems in a timely manner allows you to keep on top of the material, and this work will pay off when exam-time comes.

The in class exams will consist of one quiz (50 minutes), one midterm (50 minutes) and a final. Your grade will be based on the following:

Problem sets 20%
Quiz 10% (Friday, October 14)
Midterm 25% (Monday, November 7)
Final 45%

Reminder: Quiz this Friday, October 14th. The quiz will cover all material covered in Chapter 1 and 2.1, 2.2. Please bring a blue book!

Homeworks are due by the end of class in lecture on their due-date, or in the Math 102 drop box by 10 am on their due-date.

Assignment #1 Due Wednesday, October 5th. Read Chapter 1. Try to read 1.1-1.4 by the 28th and 1.5-1.7 by the 5th. Do the following exercises: Section 1.2, #4,10, Section 1.3, #4, 10, 25, Section 1.4, #4, 13, 34. (Try to do these by the 28th) and Section 1.5, #2, 5, 21, 22, Section 1.6, #2, 10, 18, 32.

Assignment #2 Due Wednesday, October 12th. Read Chapter 2, sections 1-4. Do the following exercises: Section 1.7, #4,7, Section 2.1, #3, 4, 5, 6, 10, 22, Section 2.2, #2, 6, 9, 19, 33, 43, 70.

Assignment #3 Due Wednesday, October 19th. Read Chapter 2, section 5. Do the following exercises: Section 2.3, #3, 6, 7, 8, 16, 22, 27, 30, 31, Section 2.4, #2, 12, 14, 22, 32.

Quiz answers

Assignment #4 Due Wednesday, October 26th. Read Chapter 2, section 6, Chapter 3, section 1. Do the following exercises: Section 2.5, #6, 8, 10, 12, Section 2.6, #4, 6, 8, 9, 16, 26, 36, Section 3.1, #11, 14, 22, 26, 44, 50.

Assignment #5 Due Wednesday, November 2nd. Read Chapter 3, sections 2-5. Do the following exercises: Section 3.2, #4, 10, 12, 18, Section 3.3, #4, 6, 12, 14, 22, 26, Section 3.4, #12, 14, 16, 18.

Assignment #6 Due Wednesday, November 9th. Read Chapter 4, sections 1-4. Section 3.5, 11, Section 4.2, 2, 4, 7, 10, 12, Section 4.3, 3, 5, 8. (Note correction!)

Reminder: Midterm this Monday, November 7th. The midterm will cover all material covered in Chapters 1,2, and 3.1-3.4. Please bring a blue book! Practice exams available here.

Midterm answers

Assignment #7 Due Wednesday, November 16th. Read Chapter 5, sections 1,2. Section 4.4. 5, 10, 14, 18. Section 5.1, 5, 7, 14.

Assignment #8 Due Wednesday, November 23rd. Read Chapter 5, sections 3, 5, 6. Section 5.2, 4, 6, 7, 15, 19, 29, 34, section 5.3, 2, 4, 8, 10, 12, 24, section 5.5, 16, 18, 20, 36, 41.

Assignment #9 Due Wednesday, November 30th. Read Chapter 6, sections 1 and 2, Section 5.6, 8, 11, 16, 30, 31, Section 6.1, 2, 7, 8, 14, 20.

Assignment #10 Not to be handed in. Read Chapter 6, sections 3, Section 6.2, 2, 4, 5, 7, 14, 30, Section 6.3, 3, 5.