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 B412. 
Instructor 
Bo Li
Office: AP&M 5723. Office phone: (858) 5346932. Email: bli@math.ucsd.edu. Office hours: 2:00  2:45 Mondays and Fridays. 
Teaching Assistant 
Mr. Yongjia Zhang
Office: SDSC E104. Email: yoz020@ucsd.edu Office hours: 8:00 am  9:50 am, Mondays (in AP&M B402A) 
Class web page  http://www.math.ucsd.edu/~bli/teaching/math210Bw18/ 
Course Material  
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 
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, February 9, 2018, AP&M B412. Final exam: 11:30 am  2:29 pm, Friday, March 23, 2018, AP&M B412. 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%. 