18.075 - Advanced Calculus for Engineers (Spring 2024)

Instructor: Hung Cheng

Email: huncheng@math.mit.edu

Office: 2-379, 3-3663

Office Hours: email to make appointment.

Lectures: MWF 2:00-3:00, Room 2-132.


Course Description

Covers functions of a complex variable; calculus of residues. Includes ordinary differential equations; Bessel and Legendre functions; Sturm-Liouville theory; partial differential equations; heat equation; and wave equations.

Text Book: Advanced Analytic Methods in Applied Mathematics, Science, and Engineering, by Hung Cheng, Luban Press.

Homework: You may discuss the problems with others but not copy their solutions. No late homework will be accepted without a valid excuse. The homeworks will be 10% of the total grade.

Exams: Three hour exams: Three hour exams: March 8, F; April 12, F; May 10, F. No final. Each exam is 30% of the total grade.