Course Syllabus

Review Calc II

1). Integration of  powers of Trig functions

2). Rates of growth

3). Power Series

4). Taylor and Maclaurin Series

7). Convergence and Divergence

8). Vectors (2 D)

9). Polars

 

Calc III:

1 12.1 Vectors in the Plane
12.2 Vectors in Three Dimensions
2 12.3 Dot Product and the Angle Between Two Vectors
12.4 The Cross Product
3 12.5 Planes in Three-Space
4 13.1 Vector-Valued Functions
13.2 Calculus of Vector-Valued Functions
5 13.3 Arc Length and Speed
13.4 Curvature (optional)
6 14.1 Functions of Two or More Variables
14.2 Limits and Continuity in Several Variables
7 14.3 Partial Derivatives
14.4 Differentiability, Linear Approximation and Tangent Planes
8 14.5 The Gradient and Directional Derivatives
9 14.6 The Chain Rule
10 14.7 Optimization in Several Variables
11 14.8 Lagrange Multipliers: Optimizing with a Constraint
12
13 15.1 Integration in Several Variables
14 15.2 Double Integrals over More General Regions  
15 15.3 Triple Integrals  
16 12.7 Cylindrical and Spherical Coordinates  
17 15.4 Integration in Polar, Cylindrical, and Spherical Coordinates  
18 15.6 Change of Variables