Outline

Week #1: Graphs of z = f[x,y]

Week #2: Basic Vector Geometry

Week #3: Limits & Partial Derivatives

Week #4: Total Derivatives and Tangent Planes, Directional Derivatives

Week #5: Gradients & Level Sets in 2D

Week #6: Max - min

Week #7: Multiple Integrals in Cartesian Coordinates

Week #8: Polar Coordinates & Review

Week #9: Parametric Curves in Space

Week #10: Motion on Curves, Tangential and Normal Acceleration

Week #11: Vector Fields in 2D

Week #12: Conservative Fields, Independence of Path

Week #13: Infinite Series and Convergence

Week #14: Series Approximation

Week #15: Power Series

Last Lecture of 2003- the Pointy-headed Intellectuals