TAM 541: Mathematical Methods I

Course Descriptions:

Vector and tensor algebra and complex-variable methods; ordinary differential equations, qualitative questions of existence and uniqueness; analytic solution methods, numerical methods, power-series solution and special functions; eigenvalue problems, Green's functions, Laplace transforms, stability of solutions; engineering applications drawn from mechanics.


The current plan is that this course will be taught in person.The situation around Covid-related restrictions on campus can of course change at any moment, and I will keep the class updated of any developments.

Schedule: Mon Wed 11:00am~12:50pm, 2035 Campus Instructional Facility

Prerequisites: MATH 241 or MATH 380; one of MATH 385, MATH 386, MATH 441

Office hours: Fridays 5-6pm in CSL 359 (may be moved in online).

TA: Jin Kim, jkim684@illinois.edu

TA Office hours: Tuesdays and Thursdays from 4-6pm. Location: TBD

Supplementary texts:

  • Michael Greenberg, Advanced Engineering Mathematics, Prentice-Hall

Assignments and grading policy:

Your grades will be based on homework and exams. Details will be explained in class.