This is a year-long (three-quarter) course designed for graduate students and upper-division
undergraduate students of applied and computational mathematics, physical sciences, and engineering.
The course covers the basics of broadly ranged important topics of modern
mathematics that have emerging applications in science and engineering.
An emphasis will be placed on both the mathematical rigor and problem solving techniques.
Examples of applications, particularly of those related to research at UC San Diego,
will be presented. Numerical methods will be discussed briefly along the course but will not
be covered in depth. It is expected that students who take this course seriously will be able to
build a solid mathematical background for scientific, engineering, mathematical, and
interdisciplinary researches.
Prerequisites of this course is a solid background of calculus and linear algebra. Homework will be assigned, collected, and graded weekly. Course grades will be based on homework and exams. Topics of the course include but are not limited to:
We will follow partially the following books:
|
Topics | Partial differential equations and their applications. Basics of stochastic process (if time permits). |
Prerequisites | Calculus, linear algebra, and basic ordinary differential equations. |
Lectures | 1:00 pm - 1:50 pm, Mondays, Wednesdays, and Fridays, AP&M B402A. |
Instructor |
Bo Li
Office: AP&M 5723. Office phone: (858) 534-6932. E-mail: bli@math.ucsd.edu. Office hours: 11:30 - 12:00 Thursdyas and 3:00 - 4:00 Fridays. |
Teaching Assistant |
Mr. Yucheng Tu
Office: AP&M 5720. E-mail: y7tu@ucsd.edu. Office hours: 3:00 - 5:00, Thursdays. |
Class web page | http://www.math.ucsd.edu/~bli/teaching/math210Cs18/ |
Course Material |
Lecture Notes
A List of References |
Homework |
Homework will be assigned, collected, and partially graded every week.
Homework papers will be collected at the begining of lecture on the due day,
and the graded homework papers will be returned in the lecture within a week.
|
Exams |
Final exam:
8:00 am - 10:59 am, Wednesday, June 13, 2018. Place: To be announced.
|
Grading | The final course grade will be determined based on homework 50% and final exam 50%. |