Xiaochuan Tian - UCSD Math - University of California San Diego

Syllabus

Updated 9/28/23 The details listed in the syllabus are subject to change during the term.

Course: Math 270A

Title: Numerical Linear Algebra

Credit Hours: 4

Prerequisite: Graduate standing or consent of instructor.

Catalog Description: We deal with various aspects of numerical linear algebra, including direct methods for solving systems of equations, iterative methods for solving linear systems, and methods for solving eigenvalue problems.

Textbooks: Numerical Methods in Matrix Computations by A. Björck, published by Springer, 2015.
Other recommended books:
Applied Numerical Linear Algebra by J. Demmel, published by SIAM, 1997.
Fundamentals of Matrix Computations by D.S. Watkins, published by John Wiley & Sons, 2004
Numerical linear algebra by Trefethen & Bau, published by SIAM, 2022.

Lecture: Lectures will be held in person at APM 2402. Lectures will also be recorded and made available on Podcast. Attending the lecture (or reviewing the recording) is a fundamental part of the course; you are responsible for material presented in the lecture whether or not it is discussed in the textbook. You should expect questions on the exams that will test your understanding of concepts discussed in the lecture.

Homework: All homework is due on Wednesdays 11:59pm (Pacific Time) online. Submission is through Gradescope. Late homework will not be accepted. Two lowest scores will be dropped in the end.

Exam: Midterm Exam: Friday Nov 3 in class. Final Exam: Thursday Dec 14.

Grading: Your grade in the course will be based on these three metrics: (30% HW) + (20% Midterm) + (50% Final).

Academic Integrity: Academic integrity is highly valued at UCSD and academic dishonesty is considered a serious offense. Students involved in an academic integrity violation will face an administrative sanction which may include suspension or, in very serious cases, expulsion from the university. Your integrity has great value: Cultivate and protect your academic integrity. For more about academic integrity and its value, visit the UCSD Academic Integrity Website.