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:**

- Available here

**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:**

- WebAssign LogIn
- WebAssign Manual
- WebAssign Technical Support
- Course code:
**sjsu 1535 2427**

**Term Tests**

**September 24**(in class) (test – solutions) (sample test – much longer than actual test!)**October 27****October 29**(in class) (test – solutions) (study sheet – partial answers – contours plots)**November 24**(in class) (test – solutions) (study sheet – partial answers)

**Final Exam**

**December 16**, 9:45-12:00, Room: Sci 142 (Study set I – solutions) (Study set II – solutions – contours plots) (Study set III – solutions) (Final study set – solutions)

**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**