Course description: Differential and integral calculus of functions of several variables.
More detailed description: Brief review of matrix algebra, vector spaces, dot product and cross product, systems of linear equations. Partial derivatives, parametrized surfaces, differentiability, gradient fields, chain rule, implicit differentiation. Multiple integration. Line integrals, divergence and curl, surface integrals. Theorems of Green, Gauss, and Stokes.
Instructor: Karel Prikry
Telephone: 612-625-4514
Email: prikry@math.umn.edu
Office hours: Vincent Hall 203B, 1:25 - 2:15 MW
Lecture: MWF 10:10 - 11:00, Armory 116
Recitation Sections: Sec. 11: 10:10 - 11:00 TTh, Vincent Hall 6; Sec. 12: 12:20 - 1:10 TTh, Vincent Hall 6
Required text: Multivariable Mathematics, Fourth Edition, Richard E. Williamson and Hale F. Trotter
Approximate Schedule
Sep 4-7 Parts of Chapters 1-3 quickly
Sep 10-14 Chapter 4
Sep 17-21 Chapter 4
Sep 24-28 Chapter 5 Midterm Thursday Sep 27
Oct 1-5 Chapter 5
Oct 8-12 Chapter 6
Oct 15-19 Chapter 6 Midterm Thursday Oct 18
Oct 22-26 Chapter 7
Oct 29 - Nov 2 Chapter 7
Nov 5-9 Chapter 8
Nov 12-16 Chapter 8 Midterm Thursday Nov 15
Nov 19-21 Chapter 8
Nov 26-30 Chapter 9
Dec 3-7 Chapter 9
Dec 10-14 Review Final exam Friday Dec 14, 1:30-4:30
Grading:
Midterms: 300 points (three tests, 100 points each)
Homework and quizzes: 100 points
Final 200 points