Last update: 2026/04/28 (minor correction on Tu/Tr mistakes)
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: No Recitation this week
 Tu: 02/24: lecture 01 
 Tu: 02/24: No Recitation this week
 Tr: 02/26: lecture 02 (no quiz this week) 
 8.8: Improper integrals.

Week 02:
 Tu: 03/03: lecture 03  
 Tu: 03/03: Recitation 
 Tr: 03/05: lecture 04 + quiz 
10.1: Sequences.
10.2: Infinite series
10.3: The Integral Test

Week 03: 
 Tu: 03/10: lecture 05 
 Tu: 03/10: Recitation                                
 Tr: 03/12: lecture 06 + quiz 
10.4: Comparison Tests
10.5: Absolute Convergence; The Ratio and Root Tests.
10.6: Alternating Series and Conditional Convergence.

Week 04:
 Tu: 03/17: lecture 07 
 Tu: 03/17: Recitation                                
 Tr: 03/19: lecture 08 + quiz
10.7: Power series.
10.8: Taylor and MacLaurin Series.

Week 05:
 Tu: 03/24: lecture 09 
 Tu: 03/24: Recitation                                
 Tr: 03/26: lecture 10 + quiz 
10.9: Convergence of Taylor Series.
10.10: The Binomial Series and Applications of Taylor Series.

Week 06:
 Tu: 03/31: lecture 11
 Tu: 03/31: Recitation                                
 Tr: 04/02: ------------- (Spring Break, no class)
Supplement to 10.7: Proof of Term by Term Differentiation and Integration 
Week 07: 
 Tu: 04/07: --------Midterm 1 (lectures 01-10) 
 Tu: 04/07: No recitation this week                               
 Tr: 04/09: lecture 12
14.2: Limit and Continuity in Higher Dimensions.
14.3: Partial Derivatives.

Week 08:
 Tu: 04/14: lecture 13 
 Tu: 04/14: Recitation                                
 Tr: 04/16: lecture 14 + quiz
14.3: Partial Derivatives.
14.4: The Chain Rule.
14.5: Directional Derivatives and Gradient Vectors.

Week 09: 
 Tu: 04/21: lecture 15 
 Tu: 04/21: Recitation                                
 Tr: 04/23: lecture 16 + quiz 
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: 04/28: lecture 17 
 Tu: 04/28: Recitation                                
 Tr: 04/30: lecture 18 + quiz 
14.8: Lagrange Multipliers.
14.9: Taylor Formula for Two Variables.
14.10: Partial Derivative with Constrained Variables.

Week 11:
 Tu: 05/05: lecture 19 
 Tu: 05/05: Recitation                                
 Tr: 05/07: --------Midterm 2 (lectures 11-17) 
15.1: Double and Iterated Integrals over Rectangles.
15.2: Double Integrals over General Regions.

Week 12:
 Tu: 05/12: lecture 20 
 Tu: 05/12: Recitation 
 Tr: 05/14: lecture 21 + quiz 
15.3: Area by Double Integration.
15.4: Double Integrals in Polar Form.
15.5: Triple Integrals in Rectangular Coordinates.

Week 13: 
 Tu: 05/19: lecture 22 
 Tu: 05/19: Recitation                                
 Tr: 05/21: lecture 23 + quiz 
15.7: Triple Integrals in Cylindrical and Spherical Coordinates.
15.8: Substitutions in Multiple Integrals.

Week 14:
 Tu: 05/26: lecture 24 
 Tu: 05/26: Recitation                                
 Tr: 05/28: lecture 25 + quiz 
16.1: Line Integrals.
16.2: Vector Fields and Line Integrals, Work, Circulation and Flux.

Week 15:
 Tu: 06/02: lecture 26 
 Tu: 06/02: Recitation                                
 Tr: 06/04: lecture 27 + quiz 
16.3: Path Independence, Conservative Fields and Potential Functions.
16.4: Green's Theorem in the Plane.

Week 16: Final exam week 
 Tu: 06/09: No class today
 Tu: 06/09: Recitation                                
 Tr: 06/11: 10:10AM: Final exam (lectures 18-27).