Instructor: Brant Jones
Email: brant at math dot ucdavis dot edu
Office: Mathematical Sciences Building 3147
Class Meetings: MWF 11:00 am - 11:50 am in Art Building Room 217
TA: Yuji Nakatsukasa (ynakam at math dot ucdavis dot edu)
Office Hours: Monday 12:00 pm - 2:00 pm in MSB 3219 with Yuji Nakatsukasa. Also, Tuesday 12:30 pm - 1:30 pm in MSB 3147 with Brant Jones, or by appointment.
Final exam: Wednesday Dec. 12, 6:00 pm - 8:00 pm in our usual room.
Final grades have been posted and exam solutions are available.
About the final: The final is comprehensive, but will focus more on the topics we covered in the second half of the course. Here are some optional problems from the book that you might see if you can solve to help you review. These questions will not be collected. The material covered in the programming projects is also likely to be covered on the exam.
(5.2: 1, 5, 7, 11, 17, 19, 37, 39; 5.3: 9, 12, 22, 23; 5.4: 1; 5.5: 7, 21, 27, 37; 5.6: 5, 11, 12, 31, 41; 6.3: 1, 5, 9, 14, 15; 7.3: 1, 3; 8.1: 1, 2; 8.2: 1)
About MATLAB: I am using MATLAB 7.4.0 (R2007a) from the math department. If you have an older version of MATLAB, the files may not load for you. The department does not have any older versions of MATLAB, so I cannot convert the files for you. Please let me know if you cannot run the files from the MSC computer lab.
Math cafe is a free-form peer study group available to any interested party. We provide an informal environment where individuals can help each other or receive help from grad students. The main focus is on females as they are an underrepresented minority in mathematics, but all people are welcome to visit. Come for snacks, conversation and answers to all your math concerns. We meet every Monday 5-7 pm in 114 North Hall inside the Women's Center Library. For more information, see http://wrrc.ucdavis.edu/mathcafe/
Solutions for the midterm exam have been posted below.
About the textbook: There is an international edition of the textbook which contains the problems under different numbers. The homework problems that I assign are from the US version of the book and these are the problems that you should turn in to receive full credit for the assignment. There is now a copy of our textbook on reserve at Shields library with a 2-hour checkout limit.
Everyone should create a computer lab account by visiting http://www.math.ucdavis.edu/comp/class-accts. This will enable you to use the MATLAB software for this course.
| September 28: | Discuss some applications of Linear Algebra |
| October 1: | Discuss linear algebra in search engine design. Read 1.4. |
| October 3: | Discuss 1.4. |
| October 5: | Discuss 1.5. Read 1.5 - 1.6. |
| October 8: | Discuss 1.6. |
| October 10: | Discuss 2.1. Homework due! (1.4: 10, 19, 32, 36, 38; 1.5: 4, 18, 22, 26) |
| October 12: | Discuss 2.2. |
| October 15: | Discuss 2.3. |
| October 17: | Discuss 2.6. Homework due! (1.6: 14, 42, 56, 60; 2.1: 10, 16, 22, 30; 2.2: 30) |
| October 19: | Discuss 3.1. |
| October 22: | Discuss 3.2. |
| October 24: | Discuss 3.4. Homework due! (2.3: 10, 26; 2.6: 14, 22, 36; 3.1: 8, 20, 38; 3.2: 10) |
| October 26: | Discuss 3.3. |
| October 29: | Discuss 3.3. |
| October 31: | Midterm review. Homework due! (3.4: 14, 16, 32; 3.3: 8, 14, 24, 25) |
| November 2: | Midterm exam. |
| November 5: | Discuss 5.1. |
| November 7: | Discuss 5.2, 5.3. |
| November 9: | Discuss the PageRank algorithm. Programming Project 1 assigned, with dataset A.mat. |
| November 12: | No class. |
| November 14: | Discuss the power method described in 7.3. |
| November 16: | Discuss 5.5. |
| November 19: | Discuss 5.5. |
| November 21: | Discuss 5.6. Programming Project 1 due! (Attach your code and output as files to an email that lists your group participants sent to my email address. Write up a summary of the project and answers to questions in the project description to turn in during class.) |
| November 23: | No class. |
| November 26: | Discuss 6.3. Programming Project 2 assigned, with datasets IM.mat and D.mat. |
| November 28: | Discuss 6.3. |
| November 30: | Discuss 6.3. |
| December 3: | Discuss 8.1. |
| December 5: | Discuss 8.2. |
| December 7: | Review for final exam. There are some optional review questions posted under the announcements above. Programming Project 2 due! |
This class is an upper division course on applications of Linear Algebra. Over the course of the quarter, we'll discuss vector spaces, matrices, orthogonality, the eigenvalue problem and some applications of these ideas. The text Linear Algebra and its Applications by Strang is available at the University Bookstore. You can also find it at the Shields Library.
The contents of Math 22A are assumed as a prerequisite, and some basic knowledge of a programming language is required for this course. If you need to refresh your knowledge of basic Linear Algebra, I might recommend:
No books, notes or calculating devices will be allowed during the exams. Also, there will be no exam makeups.
Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Student Disability Center (SDC). Faculty are authorized to provide only the accommodations requested by the SDC. If you have any questions, please contact the SDC at 530/752-3184 or sdc@ucdavis.edu.