Last update: 2022/05/30
Contents:  
           Chap 08: Techniques of Integration: 8.8
           Chap 10: Infinite Sequences and Series: 10.1-10.10
           Chap 14: Partial Derivatives: 14.2-14.10 
           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 n-1 grades) + attendance: 40%, midterms: 20% + 20%. Final exam: 20%.
       Attendance in both lectures and recitations are required.

Week 01: --------(no recitation this week)
  Tu: 02/15: 
  Tr: 02/17: 
 8.8: Improper integrals.
10.1: Sequences.

Week 02: --------(no quiz this week)
 Tu: 02/22: 
 Tu: 02/22: Recitation (on homework 01)
 Tr: 02/24: 
10.2: Infinite series
10.3: The Integral Test
10.4: Comparison Tests

Week 03: 
 Tu: 03/01: ------------------------ quiz 01 (on homework 01)
 Tu: 03/01: Recitation (on homework 02)
 Tr: 03/03: 
10.5: Absolute Convergence; The Ratio and Root Tests.
10.6: Alternating Series and Conditional Convergence.
10.7: Power series.

Week 04:
 Tu: 03/08: ------------------------ quiz 02 (on homework 02)
 Tu: 03/08: Recitation (on homework 03)
 Tr: 03/10: 
10.7: Power series, continued.
10.8: Taylor and MacLaurin Series.

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

Week 06:
 Tu: 03/22: 
 Tu: 03/22: Recitation (on homework 05)
 Tr: 03/24: ------------------------ Midterm 1 (on homework 01-05) 
14.2: Limit and Continuity in Higher Dimensions.

Week 07: 
 Tu: 03/29: 
 Tu: 03/29: Recitation (on homework 06)
 Tr: 03/31: 
14.3: Partial Derivatives.
14.4: The Chain Rule.

Week 08: --------(no recitation this week, no quiz this week)
 Tu: 04/05: ------------- (Spring Break, no class)
 Tr: 04/07:
14.5: Directional Derivatives and Gradient Vectors.

Week 09: 
 Tu: 04/12: ------------------------ quiz 04 (on homework 06)
 Tu: 04/12: Recitation (on homework 07-08)
 Tr: 04/14: 
14.6: Tangent Planes and Differentials.
14.7: Extreme Values and Saddle Points (and Gradient Analysis).

Week 10:
 Tu: 04/19: ------------------------ quiz 05 (on homework 07-08)
 Tu: 04/19: Recitation (on homework 09)
 Tr: 04/21: 
14.8: Lagrange Multipliers.
14.9: Taylor Formula for Two Variables.

Week 11:
 Tu: 04/26: ------------------------ quiz 06 (on homework 09)
 Tu: 04/26: Recitation (on homework 10)
 Tr: 04/28: 
14.10: Partial Derivative with Constrained Variables.
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: 
 Tu: 05/03: Recitation (on homework 11)
 Tr: 05/05: ------------------------ Midterm 2 (on homework 07-11) 
15.4: Double Integrals in Polar Form.
15.5: Triple Integrals in Rectangular Coordinates.

Week 13: --------(no quiz this week)
 Tu: 05/10: 
 Tu: 05/10: Recitation (on homework 12)
 Tr: 05/12: 
15.7: Triple Integrals in Cylindrical and Spherical Coordinates.
15.8: Substitutions in Multiple Integrals.

Week 14:
 Tu: 05/17: ------------------------ quiz 07 (on homework 12) --> cancelled.
 Tu: 05/17: Recitation (on homework 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: ------------------------ quiz 08 (on homework 13) --> cancelled.
 Tu: 05/24: Recitation (on homework 14)
 Tr: 05/26: 
16.4: Green's Theorem in the Plane.
16.5: Surface and Area. 

Week 16:
 Tu: 05/31: ------------------------ quiz 09 (on homework 14) --> remote quiz at 19:00PM.
 Tu: 05/31: Recitation (on homework 15)
 Tr: 06/02: 
16.6: Surface Integrals.
16.7: The Stokes' Theorem.

Week 17: 
 Tr: 06/07: ------------------------ quiz 10 (on homework 15) --> remote or cancelled, to be announced.
 Tu: 06/07: Recitation (on homework 16)
 Tr: 06/09:
16.8: The Divergence Theorem and a Unified Theory.

Week 18: Final exam week 
 Tr: 6/16 10:10AM: Final exam (physical or remate, to be announced)