Tentative Schedule

Unit 1

Week 1
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

Week 2
9/23: Taylor Series as Functions
9/25: Integration Review
9/27: Riemann Sums

Week 3
9/30: Volumes of Revolution
10/2: Integration by Parts
10/4: Applications of Integration

Unit 1 Exam
10/9 (4:00pm-6:00pm): Midterm I



Unit 2

Week 4
10/7: 3-Dimensional Coordinate Systems (12.1)
10/9: Vectors (12.2)
10/11: Dot Product (12.3)

Week 5
10/14: Cross Product (12.4)
10/16: Lines and Planes (12.5)
10/18: Curves and Surfaces (12.6, 13.1)

Week 6
10/21: Derivatives and Integrals of Vector Functions (13.2)
10/23: Arc Length (13.3)
10/25: Motion Along a Curve (13.4)

Unit 2 Exam
10/30 (4:00pm-6:00pm): Midterm II



Unit 3

Week 7
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

Week 8
11/4: Partial Derivatives (14.3)
11/6: Tangent Planes (14.4)
11/8: The Chain Rule (14.5)

Week 9
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)



Last Class

Week 10
11/18: Recap

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