This is a yearlong (threequarter) course designed for graduate students and upperdivision
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:

Prerequisites  Calculus and linear algebra. 
Lectures  1:00 pm  1:50 pm, Mondays, Wednesdays, and Fridays, AP&M 2402. 
Instructor 
Bo Li
Office: AP&M 5723. Office phone: (858) 5346932. Email: bli@math.ucsd.edu. Office hours: 2:00 pm  2:45 pm Mondays and Wednesdays. 
Teaching Assistant 
Mr. Benjamin Ciotti
Office: AP&M 5712. Email: bciotti@ucsd.edu Office hours: 4:00 pm  5:00 pm, Mondays and Thursdays. 
Class web page  http://www.math.ucsd.edu/~bli/teaching/math210Af17/ 
Course Material 

Homework 
Homework will be assigned, collected, and partially graded every week.
Homework papers will be collected at the begining of Friday's lecture,
and the graded homework papers
will be returned in the lecture of the following Friday.

Exams 
There will be a midterm exam and a final exam. Both will be closebook, closenote, and nocalculator exams.
Midterm exam: 1:00 pm,  1:50 pm, Friday, November 3, 2017, AP&M 2402. Final exam: 11:30 am  2:29 pm, Monday, December 11, 2017. Place to be announced. Note: neither rescheduled nor makeup exams will be allowed unless a written verification of a valid excuse (such as hospitalization, family emergency, religious observance, court appearance, etc.) is provided. 
Grading  The final course grade will be determined based on homework 20%, midterm exam 30%, and final exam 50%. 