This page has (some very small amount of) information relevant to Math 215-080 taught at the University of Michigan in Fall 2009. Other vaguely related material is noted below.
Demos used in class: 13.1/Intro: [Maple | Web] 13.4: [Maple | Web] 14.1: [Maple | Web] 14.2: [Maple | Web] 14.3: [Maple | Web] 15.3, 15.4: [fox map from class 9/23, 9/25] 15.6 (1): [Maple | Web]; 15.6 (2): [Maple | Web] 15.8: [Maple | Web] 16.6: [Maple | Web] 16.7: [Maple | Web] 17.6: [Maple | Web] 17.7 (1): [Maple | Web] 17.7 (2): [Maple | Web] 17.8 [Maple | Web] |
Other on-line explanations: projections (section 13.3) dot and cross products (section 13.3, 13.4) distances between points and lines or planes (section 13.5) different equations of planes (section 13.5) level curves (section 15.1) differentials (section 15.4) gradients and level surfaces (section 15.6) the surface area element dS (section 17.6) surface integrals and scaling factors (section 17.7) flux (section 17.7) the divergence theorem and flux integrals (section 17.9) summary of vector calculus theorems (PDF: 70k) vector calculus example problem (PDF: 43k) |