Last update: 2023/02/08
Contents:  
           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: 02/14: lecture 01 
 Tr: 02/16: lecture 02 
10.1: Sequences.
10.2: Infinite series

Week 02:
 Tu: 02/21: lecture 03 
 Tr: 02/23: lecture 04 
 Tr: 02/23: Recitation on homework 01 (lectures 01-02)
10.3: The Integral Test
10.4: Comparison Tests
10.5: Absolute Convergence; The Ratio and Root Tests.

Week 03: 
 Tu: 02/28: ------------ 228 memorial day. No calss.
 Tr: 03/02: lecture 05 
 Tr: 03/02: Recitation on homework 02 (lectures 03-04)
           + quiz 01 (on homework 01)
10.6: Alternating Series and Conditional Convergence.

Week 04:
 Tu: 03/07: lecture 06 + quiz 02 (on homework 02)
 Tr: 03/09: lecture 07 
 Tr: 03/09: Recitation on homework 03 (lectures 05-06)
10.7: Power series.
10.8: Taylor and MacLaurin Series.

Week 05:
 Tu: 03/14: lecture 08 + quiz 03 (on homework 03)
 Tr: 03/16: lecture 09 
 Tr: 03/16: Recitation on homework 04 (lectures 07-08)
10.9: Convergence of Taylor Series.
10.10: The Binomial Series and Applications of Taylor Series.

Week 06:
 Tu: 03/21: lecture 10  + quiz 04 (on homework 04)
 Tr: 03/23: lecture 11  
 Tr: 03/23: Recitation on homework 05 (lectures 09-10)
14.2: Limit and Continuity in Higher Dimensions.
14.3: Partial Derivatives.

Week 07: 
 Tu: 03/28: --------Midterm 1 (on lectures 01-10) 
 Tr: 03/30: lecture 12
 Tr: 03/30: Recitation on homework 06 (lecture 11)
14.4: The Chain Rule.

Week 08:
 Tu: 04/04: ------------- (Spring Break, no class)
 Tr: 04/06: ------------- (Spring Break, no class)

Week 09: 
 Tu: 04/11: lecture 13 + quiz 05 (on homework 06) 
 Tr: 04/13: lecture 14 
 Tr: 04/13: Recitation on homework 07 (lectures 12-13)
14.5: Directional Derivatives and Gradient Vectors.
14.6: Tangent Planes and Differentials.
14.7: Extreme Values and Saddle Points (and Gradient Analysis).

Week 10:
 Tu: 04/18: lecture 15 + quiz 06 (on homework 07)
 Tr: 04/20: lecture 16 
 Tr: 04/20: Recitation on homework 08 (lectures 14-15)
14.8: Lagrange Multipliers.
14.9: Taylor Formula for Two Variables.

Week 11:
 Tu: 04/25: lecture 17 + quiz 07 (on homework 08)
 Tr: 04/27: lecture 18 
 Tr: 04/27: Recitation on homework 09 (lectures 16-17)
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: 05/02: lecture 19 + quiz 08 (on homework 09) 
 Tr: 05/04: lecture 20 
 Tu: 05/04: Recitation on homework 10 (lectures 18-19)
15.4: Double Integrals in Polar Form.
15.5: Triple Integrals in Rectangular Coordinates.

Week 13: 
 Tu: 05/09: --------Midterm 2 (on homework lectures 11-19) 
 Tr: 05/11: lecture 21 
 Tr: 05/11: Recitation on homework 11 (lectures 20)
15.7: Triple Integrals in Cylindrical and Spherical Coordinates.
15.8: Substitutions in Multiple Integrals.

Week 14:
 Tu: 05/16: lecture 22 + quiz 09 (on homework 11)
 Tr: 05/18: lecture 23 
 Tr: 05/18: Recitation on homework 12 (lectures 21-22)
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: 05/23: lecture 24 + quiz 10 (on homework 12)
 Tr: 05/25: lecture 25 
 Tr: 05/25: Recitation on homework 13 (lectures 23-24)
16.4: Green's Theorem in the Plane.
16.5: Surface and Area. 

Week 16:
 Tu: 05/30: lecture 26 + quiz 11 (on homework 13)
 Tr: 06/01: lecture 27 
 Tr: 06/01: Recitation on homework 14 (lectures 25-26)
16.6: Surface Integrals.
16.7: The Stokes' Theorem.

Week 17: 
 Tr: 06/06: lecture 28 + quiz 12 (on homework 14) 
 Tr: 06/08: Review for final exam
 Tr: 06/08: Recitation on homework 15 (lecures 27-28)
16.8: The Divergence Theorem and a Unified Theory.

Week 18: Final exam week 
 Tu: 6/13, 10:10AM: Final exam.