#### Tentative Schedule

9/16: Taylor Polynomials

9/17 (x-hour 11, 12 periods): Optional Calculus Review Session

9/18: Limits of Taylor Polynomials

9/19 (x-hour 10 period): Optional Calculus Review Session

9/20: Taylor's Remainder Formula

9/23: Taylor Series as Functions

9/25: Integration Review

9/27: Riemann Sums

9/30: Volumes of Revolution

10/2: Integration by Parts

10/4: Applications of Integration

10/9 (4:00pm-6:00pm): Midterm I

10/7: 3-Dimensional Coordinate Systems (12.1)

10/9: Vectors (12.2)

10/11: Dot Product (12.3)

10/14: Cross Product (12.4)

10/16: Lines and Planes (12.5)

10/18: Curves and Surfaces (12.6, 13.1)

10/21: Derivatives and Integrals of Vector Functions (13.2)

10/23: Arc Length (13.3)

10/25: Motion Along a Curve (13.4)

10/30 (4:00pm-6:00pm): Midterm II

10/28: Graphs and Level Sets (14.1)

10/30: Functions of Several Variables: Limits and Continuity (14.2)

11/1: Derivative as Linear Approximation

11/4: Partial Derivatives (14.3)

11/6: Tangent Planes (14.4)

11/8: The Chain Rule (14.5)

11/11: Directional Derivatives and the Gradient Vector (14.6)

11/13: Maximum and Minimum Values (14.7)

11/15: Constrained Optimization (Lagrange Multipliers) (14.8)

11/18: Recap

11/22 (11:30am-2:30pm): Final Exam