Penn State University Department of Mathematics Eberly College of Science
Handouts and Software


Practice midterm 1

As it follows from the midterm it emphasizes Chapter 10, and treats Chapter 9 as auxilliary material. Practice more:
9.5 Arclength: 9.5:26-28
9.6, 9.7,9.8 Grad-Div-Curl
10.1-2 Line Integral and its path independence, extra problems: 10.1:1-12,10.2:11-19
10.4 Green's theorem, extra problems: 10.4:1-16,20
10.5-6 Surfaces and Surface Integrals, extra problems: 10.6:14-20
10.7-8 Triple Integrals, Gauss's divergence Theorem and Applications, extra problems: 10.7: 17-25, 10.8: 1-9
10.9 Stokes's Theorem, extra problems: 10.9: 1-18, 19


Selected solutions for homework 1

Selected solutions for homework 3

Selected solutions for homework 4

Practice midterm 2

Selected solutions for homework 5

Practice midterm 2, solutions

Selected solutions for homework 7

Practice final

Solutions and hints for the pratice final