Mathematics 301, Section 201

Applied Analysis

Department of Mathematics,  Undergraduate Math courses,  University of British Columbia

Course Description: MATH 301 (3) Applied Analysis: Integrals involving multi-valued functions, conformal mapping and applications, analytic continuation, Laplace and Fourier transforms. [3-0-0] Prerequisite: One of MATH 300, MATH 305 and one of MATH 215, MATH 255, MATH 256, MATH 265. Corequisite: One of MATH 256, MATH 257, MATH 316.

Instructor

Lauchie MacDonald

Text

• Saff and Snider, Fundamentals of Complex Analysis, Third Edition

• Some topics are not covered by the text. For these sections we will use online notes.

I will post all assignments and their due dates, as well as dates of midterms and notes on the web here.

Topics

1. Complex Integration
   
2. Multi-Valued Functions
   
3. Integrals Involving Multi-Valued Functions
   
4. Conformal Mapping and Applications
   
5. Poles and Zeroes of Complex Functions
   
6. Laplace Transform
   
7. Fourier Analysis

Grading

• There will be two midterms accounting for 30% of the final mark.
• There will be homework assignments. The homework problems will account for 20% of the final mark.
• The final exam will account for 50% of the final mark.