Math 4064 - Numerical Linear Algebra
Syllabus
Instructor: Xiaoliang Wan Lecture: TTH 1:30-2:50pm, 119 Lockett Hall Office Hours: MW 3:00-4:30pm or by appointment Text: Lecture Notes on Numerical Linear Algebra by S. C. Brenner and L.-Y. Sung Course Description: This is an introductory course in numerical linear algebra. Topics include Gaussian elimination and iterative methods for linear systems, vector and matrix norms, condition numbers, power methods for eigenvalue problems, and least square problems.
Grade: Your final grade will be based on your performance on projects and exams: Quizzes (30%), Homework (30%), Midterms (20%), and Final exam (20%). There is a weekly quiz at the beginning of each Thursday class. The two lowest scores will be dropped and there will be no make-up for quizzes. Programming: The programming projects in this course is done in MATLAB. The Matlab primer can be downloaded from https://www.mathworks.com/help/pdf/matlab/getstart.pdf. The MATLAB Guide (2nd Edition) by D. J. Higham and N. J. Higham (SIAM, ISBN:0-89871-578-4) is recommended as a reference for Matlab.
Homework
HW 1: Excercise 3.1, 3.2, 3.3 [Due on 08/30/2018] Project 1: [PDF] [Due on 09/04/2018] HW 2: Excercise 4.1, 4.3, 4.5, 4.7, 4.9, 4.13 [Due on 09/06/2018] Project 2: [PDF] [Due on 09/20/2018] HW 3: Excercise 5.2, 5.6, 6.1, 6.4, 6.6, 6.7 [Due on 09/13/2018] HW 4: Excercise 9.1-9.10 [Due on 09/27/2018] HW 5: Excercise 10.5-10.11 [Due on 10/11/2018] Project 3: [PDF] [Due on 10/11/2018] HW 6: Excercise 12.2, 12.6, 12.8, 13.1, 13.2, 13.3, 13.5 [Due on 10/25/2018] HW 7: Excercise 13.7, 13.10, 13.12, 13.14, 14.4, 14.5 [Due on 11/01/2018] HW 8: Excercise 14.7, 14.8, 14.9, 14.10, 14.14, 15.2, 15.6, 15.7 [Due on 11/13/2018] HW 9: Excercise 16.1, 16.2, 16.4, 16.5, 16.6, 16.7, 16.9 [Due on 11/22/2018]
| Instructor: | Xiaoliang Wan |
| Lecture: | TTH 1:30-2:50pm, 119 Lockett Hall |
| Office Hours: | MW 3:00-4:30pm or by appointment |
| Text: | Lecture Notes on Numerical Linear Algebra by S. C. Brenner and L.-Y. Sung |
| Course Description: | This is an introductory course in numerical linear algebra. Topics include Gaussian elimination and iterative methods for linear systems, vector and matrix norms, condition numbers, power methods for eigenvalue problems, and least square problems. |
| Grade: | Your final grade will be based on your performance on projects and exams: Quizzes (30%), Homework (30%), Midterms (20%), and Final exam (20%). There is a weekly quiz at the beginning of each Thursday class. The two lowest scores will be dropped and there will be no make-up for quizzes. |
| Programming: | The programming projects in this course is done in MATLAB. The Matlab primer can be downloaded from https://www.mathworks.com/help/pdf/matlab/getstart.pdf. The MATLAB Guide (2nd Edition) by D. J. Higham and N. J. Higham (SIAM, ISBN:0-89871-578-4) is recommended as a reference for Matlab. |
| HW 1: | Excercise 3.1, 3.2, 3.3 [Due on 08/30/2018] |
| Project 1: | [PDF] [Due on 09/04/2018] |
| HW 2: | Excercise 4.1, 4.3, 4.5, 4.7, 4.9, 4.13 [Due on 09/06/2018] |
| Project 2: | [PDF] [Due on 09/20/2018] |
| HW 3: | Excercise 5.2, 5.6, 6.1, 6.4, 6.6, 6.7 [Due on 09/13/2018] |
| HW 4: | Excercise 9.1-9.10 [Due on 09/27/2018] |
| HW 5: | Excercise 10.5-10.11 [Due on 10/11/2018] |
| Project 3: | [PDF] [Due on 10/11/2018] |
| HW 6: | Excercise 12.2, 12.6, 12.8, 13.1, 13.2, 13.3, 13.5 [Due on 10/25/2018] |
| HW 7: | Excercise 13.7, 13.10, 13.12, 13.14, 14.4, 14.5 [Due on 11/01/2018] |
| HW 8: | Excercise 14.7, 14.8, 14.9, 14.10, 14.14, 15.2, 15.6, 15.7 [Due on 11/13/2018] |
| HW 9: | Excercise 16.1, 16.2, 16.4, 16.5, 16.6, 16.7, 16.9 [Due on 11/22/2018] |