Last update: 2019/05/06
Contents:  
           Chap 10: Infinite Sequences and Series: 10.1-10.10
           Chap 14: Partial Derivatives: 14.2-14.9 
           Chap 15: Multiple Integrals: 15.1-15.5, 15.7-15.8
           Chap 16: Integration in Vector Fields: 16.1-16.8 
Grade: quiz (pick best 10 grades): 20%, midterms: 25% each, Final: 30%,
       attendance in both lectures and recitations are required: 5%.

Week 01: --------(no recitation this week)
  Tu: 02/19: 
  Tr: 02/21: 
10.1: Sequences.
10.2: Infinite series
10.3: The Integral Test

Week 02: 
 Mn: 02/25: Recitation (on homework 01)
 Tu: 02/26: 
 Tr: 02/28: ------------- Memorial day, no class.
10.4: Comparison Tests
10.5: The Ratio and Root Tests.

Week 03: 
 Mn: 03/04: Recitation (on homework 02)
 Tu: 03/05: ------------------------ quiz 01 (on homework 01)
 Tr: 03/07: ------------------------ quiz 02 (on homework 02)
10.6: Alternating Series and Absolute Convergence.
10.7: Power series.

Week 04:
 Mn: 03/11: Recitation (on homework 03)
 Tu: 03/12: 
 Tr: 03/14: ------------------------ quiz 03 (on homework 03)
10.7: Power series, continued.
10.8: Taylor and MacLaurin Series.

Week 05:
 Mn: 03/18: Recitation (on homework 04)
 Tu: 03/19: 
 Tr: 03/21: ------------------------ quiz 04 (on homework 04)
10.9: Convergence of Taylor Series.
10.10: The Binomial Series and Applications of Taylor Series.

Week 06:
 Mn: 03/25: Recitation (on homework 05)
 Tu: 03/26: 
 Tr: 03/28: ------------------------ quiz 05 (on homework 05)
14.2: Limit and Continuity in Higher Dimensions.

Week 07: 
 Mn: 04/01: Recitation (on homework 06)
 Tu: 04/02: ------------------------ Midterm 1 (on homework 01-06) 
 Tr: 04/04:  ------------- Holiday, no class.

Week 08:
 Mn: 04/08: ------------- (Spring Break, no recitation this week)
 Tu: 04/09:
 Tr: 04/11: 
14.2: Limit and Continuity in Higher Dimensions.
14.3: Partial Derivatives.
14.4: The Chain Rule.

Week 09:
 Mn: 04/15: Recitation (on homework 08)
 Tu: 04/16: 
 Tr: 04/18: ------------------------ quiz 06 (on homework 08)
14.4: The Chain Rule.
14.5: Directional Derivatives and Gradient Vectors.

Week 10:
 Mn: 04/22: Recitation (on homework 09)
 Tu: 04/23: 
 Tr: 04/25: ------------------------ quiz 07 (on homework 09)
14.6: Tangent Planes and Differentials.
14.7: Extreme Values and Saddle Points (and Gradient Analysis).

Week 11:
 Mn: 04/29: Recitation (on homework 10)
 Tu: 04/30: 
 Tr: 05/02: ------------------------ quiz 08 (on homework 10)
14.7: Extreme Values and Saddle Points (and Gradient Analysis).
14.8: Lagrange Multipliers.
14.9: Taylor Formula for Two Variables.

Week 12:
 Mn: 05/06: Recitation (on homework 11)
 Tu: 05/07: 
 Tr: 05/09: ------------------------ quiz 09 (on homework 11)
15.1: Double and Iterated Integrals over Rectangles.
15.2: Double Integrals over General Regions.
15.3: Area by Double Integration.
15.4: Double Integrals in Polar Form.

Week 13: 
 Mn: 05/13: Recitation (on homework 12)
 Tu: 05/14: 
 Tr: 05/16: ------------------------ Midterm 2 (on homework 08-12) 
15.5: Triple Integrals in Rectangular Coordinates.
15.7: Triple Integrals in Cylindrical and Spherical Coordinates.

Week 14:
 Mn: 05/20: Recitation (on homework 13)
 Tu: 05/21: 
 Tr: 05/22: ------------------------ quiz 10 (on homework 13)
15.8: Substitutions in Multiple Integrals.
16.1: Line Integrals.
16.2: Vector Fields and Line Integrals, Work, Circulation and Flux.

Week 15:
 Mn: 05/27: Recitation (on homework 14)
 Tu: 05/28: 
 Tr: 05/30: ------------------------ quiz 11 (on homework 14)
16.3: Path Independence, Conservative Fields and Potential Functions.
16.4: Green's Theorem in the Plane.
16.5: Surface and Area. 

Week 16:
 Mn: 06/03: Recitation (on homework 15)
 Tu: 06/04: 
 Tr: 06/06: ------------------------ quiz 12 (on homework 15)
16.6: Surface Integrals.
16.7: The Stoke's Theorem.
16.8: The Divergence Theorem and a Unified Theory.

Week 17: 
 Mn: 06/10: Recitation (on homework 16)
 Tu: 06/11: Review for Final Exam 
 Tr: 06/13:

Week 18: Final exam week 

Potential time for Final Exam (mainly on homework 12-16): 
Tr: 06/13 (week 17), Tu: 6/18 (week 18) or Tr: 6/20 (week 18).