Note: The topics list for AP Freshmen in the Fall quarter is slightly different since they need to be brought up to speed on Maple.
Text: Thomas's Thomas' Calculus - Early Transcendentals
Twelfth Edition - Weir, Hass
Supplement: Just in Time - bundled with text.
Other supplements: Normal and tangential components of acceleration problems from Angel.
There should be 3 or 4 tests, perhaps a final review day or two.
Please note that some additional time needs to be spent teaching Maple MA111 and MA112 topics for fall sections.
Optional topics in italics
| Topic | Fall AP Sections | Winter and Spring Sections | ||
| Chapter Sections | Time | Chapter Sections | Time | |
| Review and Maple | 1 day | no review | ||
| Polar Coordinates | 11.3, 11.4, 11.7 | 2 days | 11.3, 11.4, 11.7 | 2 days |
| Vectors | 12.1, 12.2, 12.3, 12.4,12.5, 12.6 | 1.5 weeks | 12.1, 12.2, 12.3, 12.4,12.5, 12.6 | 1.5 weeks |
| Vectors and Motion | 13.1, 13.2, 13.3, 13.4, 13.5, 13.6 | 1 week | 13.1, 13.2, 13.3, 13.4, 13.5, 13.6 | 1 week |
| Partial Derivatives | 14.1, 14.2, 14.3. 14.4, 14.5, 14.6, 14.7, 14.8, 14.9, 14.10 | 3 weeks | 14.1, 14.2, 14.3. 14.4, 14.5, 14.6, 14.7, 14.8, 14.9, 14.10 | 3 weeks |
| Multiple Integrals | 15.1, 15.2, 15.3, 15.4, 15.5, 15.6, 15.7, 15.8 | 3 weeks | 15.1, 15.2, 15.3, 15.4, 15.5, 15.6,15.7, 15.8 | 3 weeks |
11. Conic Sections and Polar Coordinates
11.3 Polar Coordinates
11.4 Graphing in Polar Coordinates
10.7 Area and Lengths in Polar Coordinates (optional)
12. Vectors and the Geometry of Space
12.1 Three-Dimensional Coordinate Systems
12.2 Vectors
12.3 The Dot Product
12.4 The Cross Product
12.5 Lines and Planes in Space
12.6 Cylinders and Quadric Surfaces
13. Vector-Valued Functions and Motion in Space
13.1 Curves in Space and Their Tangents
13.2 Integrals of Vector Functions; Projectile Motion
13.3 Arc Length in Space
13.4 Curvature and Normal Vectors of a Curve
13.5 Tangential and Normal Components of Acceleration
13.6 Velocity and Acceleration in Polar Coordinates (optional)
14. Partial Derivatives
14.1 Functions of Several Variables
14.2 Limits and Continuity in Higher Dimensions
14.3 Partial Derivatives
14.4 The Chain Rule
14.5 Directional Derivatives and Gradient Vectors
14.6 Tangent Planes and Differentials
14.7 Extreme Values and Saddle Points
14.8 Lagrange Multipliers
14.9 Taylor's Formula for Two Variables (optional)
14.10 Partial Derivatives with Constrained Variables
15. Multiple Integrals
15.1 Double and Iterated Integrals over Rectangles
15.2 Double Integrals over General Regions
15.3 Area by Double Integration
15.4 Double Integrals in Polar Form
15.5 Triple Integrals in Rectangular Coordinates
15.6 Moments and Centers of Mass
15.7 Triple Integrals in Cylindrical and Spherical Coordinates
15.8 Substitutions in Multiple Integrals