Math850 - Numerical Analysis I
Fall 2021
Professor: Jianliang Qian
Office: A306 WH (physical); Virtual Office by Zoom
Phone: 310-402-4945
Email: jqian@msu.edu
Lectures: MWF 3:00PM-3:50PM
Location: Lecture/Online Synchronous Via Zoom
Virtual Office Hours: M9-10AM, W4-5PM, F9-10AM, and by appointment
Invitation for Zoom meetings of lectures and office hours will be sent through the class email.
Lecture videos will be posted on the D2L website after each lecture.
Teaching Assistant: Jian Song; Office: Virtual; appointment by email: songji12@msu.edu
Course Website: http://www.math.msu.edu/~qian/850.21f/index850.html
Description and Contents
Numerical Analysis I/Numerical Linear Algebra is mainly about numerical linear algebra which is the foundation
for computational mathematics and scientific computing. The following topics are intended to be covered (tentatively):
- Triangulation and Schur complement;
- Least squares and linear systems;
- Eigenvalue problems;
- Iterative methods.
Required Textbook
- N. Trefethen and D. Bau, III, Numerical Linear Algebra, SIAM, 1997.
Recommended Textbook
- G. Golub and C. Van Loan, Matrix Computation, Johns Hopkins U. Press, 1996.
Attendance Policy
- Enrolled students are strongly encouraged to participate in the class at the course lecture time.
Homework Assignments
- This will be a computationally intensive course, including programming and written assignments.
- The computational problems will utilize MATLAB, but other languages (Fortran, C, C++, etc) are acceptable as well.
- Homework assignments will be sent through emails. No late homework accepted.
- The written part of homework assignments can be in the format of pdf, JPG, word documents, or other commonly used formats.
- Homework assignments should be submitted by email to the TA according to the specified due time, and the TA will reply to you with an acknowledgement receipt.
Final Project
- The final project will be sent out at least two weeks ahead of the final week.
- The written part of the final project can be in the format of pdf, JPG, word documents, or other commonly used formats.
- The final project should be submitted by email to the TA according to the specified due time, and the TA will reply to you with an acknowledgement receipt.
Final Exam
- The final exam will be in the form of take-home exam, and you will have one-week time (the final week) to finish it.
- The instructor will email you the final exam file by 9AM on December 10, 2021 and you are asked to email the finished exam back to the instructor (rather than the TA) by 5PM on December 17, 2021.
- The finished turn-in final exam can be in the format of pdf, JPG, word documents, or other commonly used formats.
Grading based on
- Assignments (70%), Final Project (10%), and Final Exam (20%).
- 4.0: 90% - 100%; 3.5: 80% - 89%; 3.0: 70% - 79%; 2.5: 60% - 69%; 2.0: less than 60%.
Assignment
Homework Assignments, Final Project and Final Exam will be sent through emails.
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