Multiple, Line and Surface Integrals — Complete Study Bundle

What this is

Multiple, Line and Surface Integrals taught from the ground up: every formula derived rather than stated, and every worked example shown in full. 99 worked examples, 180 practice problems with a complete answer key, and every formula of the volume on 9 pages.

What's inside

1. Study Guide, Part 1 — Double Integrals: The Partial Derivatives You Need, The Double Integral, Setting the Limits and Changing the Order (31 pages)
2. Study Guide, Part 2 — Changing Variables: Double Integrals in Polar Coordinates, Changing Variables (21 pages)
3. Study Guide, Part 3 — Areas, Volumes and Surfaces: Surfaces in Space, Area, Mass and Centre of Mass, Volumes by Double Integrals, The Area of a Surface (39 pages)
4. Study Guide, Part 4 — Triple Integrals: The Triple Integral, Cylindrical and Spherical Coordinates (23 pages)
5. Study Guide, Part 5 — Line Integrals and Green's Theorem: Line Integrals with Respect to Arc Length, Line Integrals of Vector Fields, Path Independence and Green's Theorem (35 pages)
6. Study Guide, Part 6 — Surface Integrals, Stokes and Gauss: Surface Integrals of Scalar Functions, Flux Through a Surface, The Theorems of Stokes and Gauss (30 pages)
7. Practice Workbook: 180 problems with a complete answer key (63 pages)
8. Formula Reference: every formula of the volume (9 pages)