Course Numbers: MATH 383C/CSE 386C
Unique Numbers: 57585 and 68410
Meeting time and place: T TH 3:30 to 5:00 pm in RLM 5.120
Professor: Luis A. Caffarelli, RLM 10.150A (512)471-3160
Office Hours: T TH 2:00-3:00 pm
Teaching Assistant: Chenglong Zhang
Email: chenglong@ices.utexas.edu
Discussion Section: F 3:00 - 4:30 pm, RLM 5.114
Materials:
Each student is required to have a set of lecturer-prepared notes "Functional Analysis for the Applied Mathematician" by Todd Arbogast and Jerry Bona (2013 version) available from the UT Copy Center in Welch 2.228.
Homework, Exams, and Grades:
Homework will be assigned
regularly. Students are encouraged to work in groups; however, each
student must write up his or her own work. There will be three midterm exams and no final exam.
Exam 1: End of September
Exam 2: End of October
Exam 3: Beginning of December
Grading:
The course grade will be based on a total of 100 points. Each exam will count as 20 points and the homework taken together will count as 40 points.
Course Description:
This is the first semester of a course on methods of applied mathematics.
It is open to mathematics, science, engineering, and finance students. It
is suitable to prepare graduate students for the Applied Mathematics
Preliminary Exam in mathematics and the Area A Preliminary Exam in CSEM.
The first semester is an introduction to functional analysis.
Preliminaries (2 lectures)
Normed Linear Spaces and Banach Spaces (10 to 12 lectures)
Hilbert Spaces (about 4 lectures)
Spectral Theory and Compact Operators (about 8 lectures)
Distributions (about 4 lectures)