Last update: 2016/03/20
Contents:  Chap 08: Techniques of Integration: 8.7
           Chap 10: Infinite Sequences and Series: 10.1-10.10
           Chap 11: Parametric Equations and Polar Coordinates: 11.2-11.5
           Chap 14: Partial Derivatives: 14.1-14.10 
           Chap 15: Multiple Integrals: 15.1-15.5, 15.7-15.8
           Chap 16: Integration in Vector Fields: 16.1-16.8 

Week 01: --------(no recitation this week)
  Tu: 02/16: 
  Tr: 02/18: 
 8.7: Improper Integrals
10.1: Sequences.
10.2: Infinite series
10.3: The Integral Test

Week 02: 
 Tu: 02/23: 
 We: 02/24: Recitation (on homework 01)
 Tr: 02/25:
10.4: Comparison Tests
10.5: The Ratio and Root Tests.

Week 03: 
 Tu: 03/01: 
 We: 03/02: Recitation (on homework 02)
 Tr: 03/03: ------------------------ quiz 1 (on homework 01-02)
10.6: Alternating Series and Absolute Convergence.
10.7: Power series.

Week 04:
 Tu: 03/08: 
 We: 03/09: Recitation (on homework 03)
 Tr: 03/10: 
10.7: Power series, continued.
10.8: Taylor and MacLaurin Series.

Week 05:
 Tu: 03/15: 
 We: 03/16: Recitation (on homework 04)
 Tr: 03/17: ------------------------- quiz 2 (on homework 03-04)
10.9: Convergence of Taylor Series.
10.10: The Binomial Series and Applications of Taylor Series.

(The following sections are skipped. We will make up later
 when teaching Chap 15:
11.2: Calculation with Parametric Curves.
11.3: Polar Coordinates.
11.4: Graphing in Polar Coordinates.
11.5: Area and Length in Polar Coordinates.
)
Week 06:
 Tu: 03/22: 
 We: 03/23: Recitation (on homework 05)
 Tr: 03/24:
14.1: Functions of Several Variables.
14.2: Limit and Continuity in Higher Dimensions.
14.3: Partial Derivatives.

Week 07: 
 Tu: 03/29: ------------------------- Midterm 1 (on homework 01-05) 
 We: 03/30: No recitation this week
 Tr: 03/31: 
14.4: The Chain Rule.

Week 08:
 Tu: 04/05: -------------------------------- (Spring Break, No Class)
 We: 04/06: Recitation (on homework 06)
 Tr: 04/07: 
14.5: Directional Derivatives and Gradient Vectors.

Week 09:
 Tu: 04/12: 
 We: 04/13: Recitation (on homework 08)
 Tr: 04/14: ------------------------- quiz 3 (on homework 06-08)
14.6: Tangent Planes and Differentials.
14.7: Extreme Values and Saddle Points (and Gradient Analysis).

Week 10:
 Tu: 04/19: 
 We: 04/20: Recitation (on homework 09)
 Tr: 04/21: 
14.8: Lagrange Multipliers.
14.9: Taylor Formula for Two Variables.
14.10: Partial Derivatives with Constrained Variables.

Week 11:
 Tu: 04/26: 
 We: 04/27: Recitation (on homework 10)
 Tr: 04/28: ------------------------- quiz 4 (on homework 09-10)
15.1: Double and Iterated Integrals over Rectangles.
15.2: Double Integrals over General Regions.
15.3: Area by Double Integration.

Week 12:
 Tu: 05/03: 
 We: 05/04: Recitation (on homework 11)
 Tr: 05/05:
15.4: Double Integrals in Polar Form.
15.5: Triple Integrals in Rectangular Coordinates.

Week 13: 
 Tu: 05/10: ------------------------- Midterm 2 (on homework 06-11) 
 We: 05/11: No recitation this week
 Tr: 05/12:   
15.7: Triple Integrals in Cylindrical and Spherical Coordinates.
15.8: Substitutions in Multiple Integrals.

Week 14:
 Tu: 05/17: 
 We: 05/18: Recitation (on homework 12-13)
 Tr: 05/19: 
16.1: Line Integrals.
16.2: Vector Fields and Line Integrals, Work, Circulation and Flux.
16.3: Path Independence, Conservative Fields and Potential Functions.

Week 15:
 Tu: 05/24: 
 We: 05/25: Recitation (on homework 14)
 Tr: 05/26: -------------------------- quiz 5 (on homework 12-14)
16.4: Green's Theorem in the Plane.
16.5: Surface and Area. 
16.6: Surface Integrals.

Week 16:
 Tu: 05/31: 
 We: 06/01: Recitation (on homework 15)
 Tr: 06/02: 
16.7: Stokes's Theorem.
16.8: The Divergence Theorem and a Unified Theory.

Week 17: 
 Tu: 06/07: 
 We: 06/08: Recitation (on homework 16)
 Tr: 06/09: ------------------ Mid-Autumn Festival, No class.

Week 18:
 Tr: 06/14 or 6/16: Final Exam.