Instructor: Hung Cheng
Email: huncheng @ math . mit .edu
Office: 2-379
Phone: 3-3663
Problem sets should be submitted to TA:
Haoshuo Fu, fuhs@mit.edu
Lectures: MWF 2:00pm - 3:00pm, 2-132
Course Description
Covers expansion around singular points: the WKB method on ordinary and partial differential equations; the method of stationary phase and the saddle point method; the two-scale method and the method of renormalized perturbation; singular perturbation and boundary-layer techniques; WKB method on partial differential equations.
Prerequisites: 18.04, 18.075, or 18.112
Text Book: Advanced Analytic Methods in Applied Mathematics, Science, and Engineering, by Hung Cheng, Luben Press
Homework: Homeworks will be assigned each week and, unless otherwise specified, will be due in the first class of the following week. You are encouraged to discuss the problems with your classmates but not copy their solutions. No late homework will be accepted\ without valid excuses. The homeworks will be 25% of the total grade.
Exams: There will be three exams: 2:00--3:00 pm, Oct 7, Fri, Nov 9, Wed; Dec 7, Wed. They count as 75% of the total grade.