Math 32 (Fall 2015)

This website will contain all course material for the Fall 2015 section of “Math 032: Calculus III” as taught by Matthew D. Johnston at San Jose State University.

Course News:

  • 8/20: Welcome to the course!
  • 12/10: My office hours next week will be as follows: 12/14, 9:30-11:30 a.m.; 12/15, 9:30-11:30 a.m. (in DH 215)
  • 12/10: A final exam study session has been scheduled for 12/15 from 12:30-2:30 p.m. in MH 324.

Green Sheet:

Lectures:

  • TTh, 10:30-11:45 a.m., location: Sci 142

Instructor Office Hours:

  • Tu: 3-4, W: 1-3, Th: 3-4

Textbook

  • James Stewart, Calculus: Early Transcendentals, 7th Edition (bundled with WebAssign)

Grade Breakdown

  • Homework: 15%
  • Term Tests: 15% (x three)
  • Final Exam: 40%

Piazza Course Discussion:

WebAssign Homework:

Term Tests

Final Exam

Lectures

  • Lecture 1 (Aug. 20) (lecture notes) (10.1 — Parametric Equations)
  • Lecture 2 (Aug. 25) (lecture notes) (10.2,3 — Polar Coordinates)
  • Lecture 3 (Aug. 27) (lecture notes) (10.3 — Polar Graphing / Derivatives)
  • Lecture 4, 5 (Sept. 1, 3) (lecture notes) (12.1,2 — 3D Space, Vectors)
  • Lecture 6 (Sept. 8) (lecture notes) (12.3,4 — Dot and Cross Product)
  • Lecture 7 (Sept. 10) (lecture notes) (12.5 — 3D Lines and Planes)
  • Lecture 8 (Sept. 15) (lecture notes) (12.6 — Cylinders and Quadric Surfaces)
  • Lecture 9 (Sept. 17) (lecture notes) (13.1,2 — 3D Derivatives and Integrals)
  • Lecture 10 (Sept. 22) (lecture notes) (13.3 — 3D Arc Length)
  • Sept. 24 – Term Test I
  • Lecture 11-12 (Sept. 29 & Oct. 1) (lecture notes) (14.1 — Multivariate Functions)
  • Lecture 13 (Oct. 6) (lecture notes) (14.2 — Limits and Continuity)
  • Lecture 14 (Oct. 8) (lecture notes) (14.3 — Partial Derivatives)
  • Lecture 15 (Oct. 13) (lecture notes) (14.4 — Tangent Planes and Linear Approximation)
  • Lecture 16 (Oct. 15) (lecture notes) (14.5 — Chain Rule)
  • Lecture 17 (Oct. 20) (lecture notes) (14.6 — Directional Derivatives, Gradient)
  • Lecture 18-19 (Oct. 22 & 27) (lecture notes)  (14.7 — Maxima/Minima)
  • Oct. 27 Oct. 29 – Term Test II
  • Lecture 20-21 (Nov. 3, 5) (lecture notes) (14.8 — Lagrange Multipliers)
  • Lecture 21-22 (Nov. 5, 10) (lecture notes) (15.1 — Double Integrals on Rectangles)
  • Lecture 23 (Nov. 12) (lecture notes) (15.2 — Iterated Integrals)
  • Lecture 24 (Nov. 17) (lecture notes) (15.3 — Double Integrals on Regular Domains)
  • Lecture 25 (Nov. 19) (lecture notes) (15.4 — Double Integrals in Polar Coordinates)
  • Nov. 24 – Term Test III
  • Lecture 26 (Dec. 1) (lecture notes) (15.6 — Surface Area)
  • Lecture 27 (Dec. 3) (lecture notes) (15.8, 15.9 — Cylindrical and Spherical Coordinates)
  • Dec. 8 – Final Exam Review