MATH 481 Vector and Tensor Analysis (Spring 2021)
Zoom details on Compass, MWF 2:00 PM
University of Illinois at Urbana-Champaign, Department of Mathematics
Instructor Anil Hirani (email); TA Luka Zwaan (email).
Office Hours See Compass course page for details
Course communication There will be a Moodle page for the course and a Campuswire class feed for most course
communication and for collaborative discussions.
Homeworks There will be 9-10 graded homeworks. You will upload your homework solutions to Moodle and a
selection of problems will be corrected by the grader. You are encouraged to discuss the homeworks with others and
course staff, but you should write up solution on your own. Late homeworks will only be accepted if arrangements
have been made with me before the deadline. However, exceptions can be made in other cases, for example,
medical or family emergency. Your lowest homework score will be dropped.
Textbook There is no required textbook. I will post my lecture notes on Compass soon after each lecture. Some
helpful reference books are: (i) Tensor Analysis on Manifolds by Bishop and Goldberg (Dover); (ii) Manifolds, Tensor
Analysis, and Applications by Abraham, Marsden, Ratiu (Springer); (iii) The Geometry of Physics by Frankel
(Cambridge).
Topics: Approximate list and order of topics is on the official course syllabus. The ordering and emphasis may
change somewhat as we go through the semester.
Exams There will be two midterm exams and a final exam, all proctored by Proctorio. Conflict exams will be
available if arrangements have been made with me at least one week in advance of the scheduled exam.
Grading Class participation 5%, Homeworks 15%, Two Midterm Exams: your lower score worth 20%, higher score
worth 25%, Final Exam 35%.
Page maintained by Anil N. Hirani
Last modified: Fri Jan 22 13:52:29 CST 2021