Math 4064 - Numerical Linear Algebra
Syllabus
Instructor: Xiaoliang Wan Lecture: TTH 1:30-2:50pm, 111 Lockett Hall Office Hours: zoom meeting by appointment Text: Lecture Notes on Numerical Linear Algebra by S. C. Brenner and L.-Y. Sung Course Description: This is an introductory course on 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: Python or MATLAB is recommended for the programming projects.
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. The two python libraries that are closely related to this course are Numpy (https://numpy.org/doc) and Scipy (https://docs.scipy.org/doc).
Homework
HW 1: Excercise 1.2, 2.4, 2.6, 2.7, 2.8, 2.9 [Due on 09/07/2021] HW 2: Excercise 3.2, 3.3, 3.4, 3.5, 3.6 [Due on 09/16/2021] Project 1: [PDF] [Due on 09/21/2021] HW 3: Excercise 4.1, 4.3, 4.5, 4.7, 4.9, 4.13 [Due on 09/23/2021] Project 2: [PDF] [Due on 10/05/2021] HW 4: Excercise 5.2, 5.6, 6.1, 6.4, 6.6, 6.7, 6.8 [Due on 09/30/2021] HW 5: Excercise 7.2, 7.3, 7.4, 8.2, 8.4, 8.5 [Due on 10/07/2021] HW 6: Excercise 9.1-9.10 [Due on 10/26/2021] HW 7: Excercise 10.5-10.11, 10.16 [Due on 11/04/2021] Project 3: [PDF] [Due on 11/09/2021] HW 8: Excercise 12.2, 12.6, 12.8, 13.1, 13.2, 13.3, 13.5 [Due on 11/11/2021] HW 9: Excercise 13.7, 13.10, 13.12, 13.14, 14.4, 14.5 [Due on 11/18/2021]
| Instructor: | Xiaoliang Wan |
| Lecture: | TTH 1:30-2:50pm, 111 Lockett Hall |
| Office Hours: | zoom meeting by appointment |
| Text: | Lecture Notes on Numerical Linear Algebra by S. C. Brenner and L.-Y. Sung |
| Course Description: | This is an introductory course on 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: | Python or MATLAB is recommended for the programming projects. 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. The two python libraries that are closely related to this course are Numpy (https://numpy.org/doc) and Scipy (https://docs.scipy.org/doc). |
| HW 1: | Excercise 1.2, 2.4, 2.6, 2.7, 2.8, 2.9 [Due on 09/07/2021] |
| HW 2: | Excercise 3.2, 3.3, 3.4, 3.5, 3.6 [Due on 09/16/2021] |
| Project 1: | [PDF] [Due on 09/21/2021] |
| HW 3: | Excercise 4.1, 4.3, 4.5, 4.7, 4.9, 4.13 [Due on 09/23/2021] |
| Project 2: | [PDF] [Due on 10/05/2021] |
| HW 4: | Excercise 5.2, 5.6, 6.1, 6.4, 6.6, 6.7, 6.8 [Due on 09/30/2021] |
| HW 5: | Excercise 7.2, 7.3, 7.4, 8.2, 8.4, 8.5 [Due on 10/07/2021] |
| HW 6: | Excercise 9.1-9.10 [Due on 10/26/2021] |
| HW 7: | Excercise 10.5-10.11, 10.16 [Due on 11/04/2021] |
| Project 3: | [PDF] [Due on 11/09/2021] |
| HW 8: | Excercise 12.2, 12.6, 12.8, 13.1, 13.2, 13.3, 13.5 [Due on 11/11/2021] |
| HW 9: | Excercise 13.7, 13.10, 13.12, 13.14, 14.4, 14.5 [Due on 11/18/2021] |