Outline of topics for Math 2110 Section 13 Fall 2008

Chapter 12: Vectors and the Geometry of Space
- 12.1: Three-Dimensional Coordinate System
- 12.2: Vectors
- 12.3: Dot Products
- 12.4: Cross Products
- 12.5: Lines and Planes (3-space analytic geometry)
- 12.6: Cylinders and Quadratic Surfaces*
Chapter 13: Vector Functions
- 13.1: Vector Valued functions
- 13.2: Derivaties and integrals of Vector Functions
- 13.3: Arc Length and Curvature
- 13.4: Motion in Space (Mechanics)*
Chapter 14: Partial Differntiation
- 14.1: Function of Several Variables
- 14.2: Limits and continuity
- 14.3: Partial Derivatives
- 14.4: Tangent Planes and Linear Approximations
- 14.5: Chain Rule
- 14.6: Directional Derivatives and the Gradient
- 14.7: Extrema
- 14.8: Lagrange Multipliers*
Chapter 15: Mulitple Integrals
- 15.1: Double Integration
- 15.2: Itertated Integrals
- 15.3: Integerals over Regions
- 15.4: Integrals in Polar Coordinates
- 15.5: Applications of Double Integration
- 15.6: Triple Integration
- 15.7: Triple Integration in Cylindrical Coordinates
- 15.8: Triple Integration in Sphereical Coordinates
Chapter 16: Vector Calculus
- 16.2: Line Integrals
- 16.3: Fundemental Theorem for Line Integrals
- 16.4: Green's Theorem

* - Optional topic, covered if there is time.

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