Governor Rounds Technology Grant Project, 2003
| Math 225 Syllabus | My Homepage |
| Duke Maple Tutorial | Maple software website |
Vectors in the Plane and Polar Functions
| Vectors in the Plane |
| Dot Products |
| Vector-valued Functions |
| Modeling Projectile Motion |
| Polar Coordinates and Graphs |
| Calculus of Polar Curves |
Vectors and Motion in Space
Multivariable Functions and Their Derivatives
| Functions of Several Variables |
| Limits and Continuity in Higher Dimensions |
| Partial Derivatives |
| The Chain Rule |
| Directional Derivatives, Gradient Vectors, and Tangent Planes |
| Linearization and Differentials |
| Extreme Values and Saddle points |
| Langrange Multipliers |
| Partial Derivatives with Constrained Variables |
| Taylor’s Formula for Two variable |
Multiple Integrals
Integration in Vector Fields
| Line Integrals |
| Vector Fields, Work, Circulation and Flux |
| Path Independence, Potential Functions and Conservative Fields |
| Green’s theorem in the Plane |
| Surface Area and Surface Integrals |
| Parametrized Surfaces |
| Stoke’s Theorem |