18.075 - Advanced Calculus for Engineers, Spring 2017


Instructor: Hung Cheng

Email: huncheng@math.mit.edu

Office: 2-379, 3-3663

Office Hours: F 4:00--5:30 P.M.

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

TA: Campbell Hewett, chewett@mit.edu, 2-231D.


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.

Prerequisites: Calculus II (GIR); 18.03

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

Homework: Homework assigned for a week will be collected the second class the following week. You may discuss (but not copy) the problems with others, and no late homework will be accepted without valid excuse. The homeworks will be 10% of the total grade.

Exams: Three hour exams: March 10, F; April 14, F; May 12, F. No final. Each exam is 30% of the total grade.