Lecturer: Hung Cheng
Email: huncheng @ math . mit .edu
Office: Room 2-379
Office Hours: F 3:00–5:00 pm.
Lectures: MWF 2:00pm - 3:00pm, Room 2–131
TA: Shengwen Gan
TA Email: shengwen @ mit. edu
TA Office Hours: 2-333B, 9:30-10:30 Tu
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
Homeworks: Homeworks assigned each week will be collected in the first class of the following week. You may discuss the problems with your classmates, but not copy their solutions. No late homework will be accepted without valid excuses. The homeworks will be 10% of the total grade.
Exams: There will be three exams: Oct 4, Fri; Nov 8, Fri; Dec 6, Fri. No final. Each exam is 30% of the total grade.