Last update: 2013/02/17
Contents:  Chap 08-09: Improper Integrals + Infinite Series: 8.6, 9.1-8.
           Chap 10: Calculation with Parametrized curves: 10.3, 10.4, 10.5, 10.6, 10.8.
           Chap 11: Cylindrical and Sphereical Coordinates: 11.7 only.
           Chap 13: Partial Derivatives. 13.1-13.8.
           Chap 14: Multiple Integrals: 14.1, 14.3, 14.4, 14.6, 14.7.
           Chap 15: Integration in Vector Fields. 15.1, 15.3-8.

Week 01: --------(no recitation this week)
  Tu: 02/19: 
  Tr: 02/21: 
8.6: Improper integrals.
9.1: Sequences.
9.2: Infinite series
9.3: Comparison and Integral Tests.

Week 02: 
 Tu: 02/26: Recitation (on homework 01)
 Tr: 02/28: ----------------------------------- (Holiday, no class)
9.4: Ratio and Root Tests.
9.5: Alternating Series and Absolute Convergence.

Week 03: 
 Tu: 03/05: Recitation (on homework 02)
 Tr: 03/07: ------------------------ quiz 1 (week 01-02)
9.6: Power series.
9.7: Taylor and MacLaurin Series.

Week 04:
 Tu: 03/12: Recitation (on homework 03)
 Tr: 03/14: 
 9.8: Calculation with Taylor Series.
10.3: Parametrization of Curves.
10.4: Calculation with Parametrized Curves.
10.5: Polar Coordinates.

Week 05:
 Tu: 03/19: Recitation (on homework 04)
 Tr: 03/21: ------------------------- quiz 2 (week 03-04)
10.6: Polar Graphs.
10.8: Integration in Polar Coordinates.
11.7: Cylindrical and Spherical Coordinates.
13.1: Functions of Several Independent Variables.

Week 06:
 Tu: 03/26: Recitation (on homework 05)
 Tr: 03/28 ------------------------- Midterm 1 (week 01-05) 
13.2: Limit and Continuity.

Week 07: No recitation this week
 Tu: 04/02: 
 Tr: 04/04: -------------------------------- (Spring Break, No Class)
13.3: Partial Derivatives.

Week 08:
 Tu: 04/09: Recitation (on homework 06-07 )
 Tr: 04/11: 
13.4: Differentiability, Linearization and Differentials.
13.5: The Chain Rule.
      Extra: Taylor expansion for functions of multiple variables.
13.6: Directional Derivatives, Gradient Vectors and Tangent Planes.

Week 09:
 Tu: 04/16: Recitation (on homework 08)
 Tr: 04/18: ------------------------- quiz 3 (week 06-08)
13.7: Maxima, Minima and Saddle Points.
      Extra: Gradient Analysis.
13.8: Lagrange Multipliers.

Week 10:
 Tu: 04/23: Recitation (on homework 09)
 Tr: 04/25: 
14.1: Double Integrals.
14.3: Double Integrals in Polar Form.
14.4: Triple Integrals in Rectangular Coordinates.

Week 11:
 Tu: 04/30: Recitation (on homework 10)
 Tr: 05/02: ------------------------- quiz 4 (week 09-10)
14.6: Triple Integrals in Cylindrical and Spherical Coordinates.
14.7: Substitutions in Multiple Integrals.

Week 12:
 Tu: 05/07: Recitation (on homework 11)
 Tr: 05/09: ------------------------- Midterm 2 (week 06-11) 
15.1: Line Integrals.

Week 13:
 Tu: 05/14: Recitation (on homework 12)
 Tr: 05/16:   
15.3: Path Independence, Potentials, and Conservative Fields.
15.4: Green's Theorem in the Plane.

Week 14:
 Tu: 05/21: Recitation (on homework 13)
 Tr: 05/23: 
15.5: Surface Area and Surface Integrals.
15.6: Parametrized Surfaces.

Week 15:
 Tu: 05/28: Recitation (on homework 14)
 Tr: 05/30: -------------------------- quiz 5 ( week 12-13 )
15.7: Stokes's Theorem.

Week 16:
 Tu: 06/04: Recitation (on homework 15)
 Tr: 06/06: 
15.8: The Divergence Theorem.

Week 17: 
 Tu: 06/11: --------------------------  quiz 6 (week 14, 15)
 Recitation (on homework )
 Tr: 06/13: 

Week 18:
 Tr: 06/18 or 06/20: Final Exam.