Last update: 2024/03/22
Contents:  
           Chap  8: 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-2 grades) + attendance: 40%, 
       midterms: 20% + 20%. Final exam: 20%.
       Attendance in both lectures and recitations are required.

Week 01: 
 Tu: 02/20: lecture 01 (no quiz this week) 
 Tr: 02/22: lecture 02 
 Tr: 02/22: Recitation on homework 01 (lectures 01)
 8.8: Improper integrals.
10.1: Sequences.

Week 02:
 Tu: 02/27: lecture 03  + quiz 
 Tr: 02/29: lecture 04 
 Tr: 02/29: Recitation on homework 02 (lectures 02-03)
10.2: Infinite series
10.3: The Integral Test
10.4: Comparison Tests

Week 03: 
 Tu: 03/05: lecture 05 + quiz 
 Tr: 03/07: lecture 06 
 Tr: 03/07: Recitation on homework 03 (lectures 04-05)
10.5: Absolute Convergence; The Ratio and Root Tests.
10.6: Alternating Series and Conditional Convergence.

Week 04:
 Tu: 03/12: lecture 07 + quiz
 Tr: 03/14: lecture 08 
 Tr: 03/14: Recitation on homework 04 (lectures 06-07)
10.7: Power series.
10.8: Taylor and MacLaurin Series.

Week 05:
 Tu: 03/19: lecture 09 + quiz 
 Tr: 03/21: lecture 10 
 Tr: 03/21: Recitation on homework 05 (lectures 08-09)
10.8: Taylor and MacLaurin Series, continued.
10.9: Convergence of Taylor Series.

Week 06:
 Tu: 03/26: lecture 11  + quiz 
 Tr: 03/28: lecture 12  
 Tr: 03/28: Recitation on homework 06 (lectures 10-11)
10.10: The Binomial Series and Applications of Taylor Series.
14.2: Limit and Continuity in Higher Dimensions.

Week 07: 
 Tu: 04/02: --------Midterm 1 (lectures 01-11) 
 Tr: 04/04: ------------- (Spring Break, no class, no recitation)

Week 08:
 Tr: 04/09: lecture 13 (no quiz this week) 
 Tr: 04/11: lecture 14 
 Tr: 04/11: Recitation on homework 07 (lectures 12-13)
14.3: Partial Derivatives.
14.4: The Chain Rule.

Week 09: 
 Tu: 04/16: lecture 15 + quiz 
 Tr: 04/18: lecture 16 
 Tr: 04/18: Recitation on homework 08 (lectures 14-15)
14.5: Directional Derivatives and Gradient Vectors.
14.6: Tangent Planes and Differentials.

Week 10:
 Tu: 04/23: lecture 17 + quiz 
 Tr: 04/25: lecture 18 
 Tr: 04/25: Recitation on homework 09 (lectures 16-17)
14.7: Extreme Values and Saddle Points (and Gradient Analysis).
14.8: Lagrange Multipliers.

Week 11:
 Tu: 04/30: lecture 19 + quiz
 Tr: 05/02: lecture 20 
 Tr: 05/02: Recitation on homework 10 (lectures 18-19)
14.9: Taylor Formula for Two Variables.
14.10: Partial Derivative with Constrained Variables.

Week 12:
 Tu: 05/07: lecture 21 + quiz
 Tr: 05/09: lecture 22 
 Tu: 05/09: Recitation on homework 11 (lectures 20-21)
15.1: Double and Iterated Integrals over Rectangles.
15.2: Double Integrals over General Regions.

Week 13: 
 Tu: 05/14: --------Midterm 2 (lectures 12-21) 
 Tr: 05/16: lecture 23 
 Tr: 05/16: Recitation on homework 12 (lectures 22)
15.3: Area by Double Integration.
15.4: Double Integrals in Polar Form.

Week 14:
 Tu: 05/21: lecture 24 + quiz 
 Tr: 05/23: lecture 25 
 Tr: 05/23: Recitation on homework 13 (lectures 23-24)
15.5: Triple Integrals in Rectangular Coordinates.
15.7: Triple Integrals in Cylindrical and Spherical Coordinates.

Week 15:
 Tu: 05/28: lecture 26 + quiz 
 Tr: 05/30: lecture 27 
 Tr: 05/30: Recitation on homework 14 (lectures 25-26)
15.8: Substitutions in Multiple Integrals.
16.1: Line Integrals.

Week 16:
 Tu: 06/04: lecture 28 + quiz 
 Tr: 06/06: lecture 29 
 Tr: 06/06: Recitation on homework 15 (lectures 27-28)
16.2: Vector Fields and Line Integrals, Work, Circulation and Flux.
16.3: Path Independence, Conservative Fields and Potential Functions.

Week 17: 
 Tr: 06/11: lecture 30 + quiz 
 Tr: 06/13: Review for final exam
 Tr: 06/13: Recitation on homework 16 (lecures 29-30)
16.4: Green's Theorem in the Plane.

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