#### Tentative Schedule

The numbers in parentheses represent the section of the textbook that covers the content of a given day.

Unit 1

Week 1

1/6: Taylor Polynomials
1/7 (x-hour 11, 12 periods): Optional Calculus Review Session
1/8: Limits of Taylor Polynomials
1/9 (x-hour 10 period): Optional Calculus Review Session
1/10: Limits on Taylor Series

Week 2

1/13: Approximations and Error Bounds
1/15: Taylor series as functions (power series)
1/17: Riemann Sums

Week 3

1/20: College Holiday (Classes postponed to x-hour)
1/21 (x-hour 11, 12 periods): Integration by Parts (7.1)
1/22: Volumes of Revolution
1/23: (x-hour 10 period) Integration by Parts
1/24: Applications of Integration

Unit 1 Exam

1/29 (4:00pm-6:00pm): Midterm I

Unit 2

Week 4

1/27: 3-Dimensional Coordinate Systems (12.1)
1/29: Vectors (12.2)
1/31: Dot Product (12.3)

Week 5

2/3: Cross Product (12.4)
2/5: Lines and Planes (12.5)
2/7: Curves and Surfaces (12.6, 13.1)

Week 6

2/10: Derivatives and Integrals of Vector Functions (13.2)
2/12: Arc Length (13.3)
2/14: Motion Along a Curve (13.4)

Unit 2 Exam

2/19 (4:00pm-6:00pm): Midterm II

Unit 3

Week 7

2/17: Graphs and Level Sets (14.1)
2/19: Functions of Several Variables: Limits and Continuity (14.2)
2/21: Partial Derivatives (14.3)

Week 8

2/24: Tangent Planes (14.4)
2/25 (x-hour 11, 12 periods): Derivative as Linear Approximation
2/26: The Chain Rule (14.5)
2/27 (x-hour 10 period): Derivative as Linear Approximation
2/28: Directional Derivatives and the Gradient Vector (14.6)

Week 9

3/2: Maximum and Minimum Values (14.7)
3/3 (x-hour 11 period): Review period
3/4: Constrained Optimization (Lagrange Multipliers) (14.8)
3/6 (10 and 12 periods): Review period
3/6 (11 period): Class moved to the x-hour

Final Exam

03/12 (3:00pm-6:00pm): Final Exam