Last update: 2019/02/18 Contents: Chap 10: Infinite Sequences and Series: 10.1-10.10 Chap 11: Parametric Equations and Polar Coordinates: 11.2-11.5 Chap 14: Partial Derivatives: 14.1-14.10 Chap 15: Multiple Integrals: 15.1-15.5, 15.7-15.8 Chap 16: Integration in Vector Fields: 16.1-16.8 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: ------------- Holiday, 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 1 (on homework 01) Tr: 03/07: ------------------------ quiz 2 (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 3 (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 4 (on homework 04) 10.9: Convergence of Taylor Series. 10.10: The Binomial Series and Applications of Taylor Series. % (The following sections are skipped. We will make up later % when teaching Chap 15: % 11.2: Calculation with Parametric Curves. % 11.3: Polar Coordinates. % 11.4: Graphing in Polar Coordinates. % 11.5: Area and Length in Polar Coordinates. % ) Week 06: Mn: 03/25: Recitation (on homework 05) Tu: 03/26: Tr: 03/28: ----------------------- quiz 5 (on homework 05) 14.1: Functions of Several Variables. 14.2: Limit and Continuity in Higher Dimensions. 14.3: Partial Derivatives. 14.4: The Chain Rule. Week 07: Mn: 04/01: No recitation this week Tu: 04/02: ------------------------- Midterm 1 (on homework 01-05) Tr: 04/04: ------------- Holiday, no class. Week 08: Mn: 04/08: -------------------- (Spring Break, no recitation this week) Tu: 04/09: Tr: 04/11: 14.5: Directional Derivatives and Gradient Vectors. Week 09: Mn: 04/15: Recitation (on homework 08) Tu: 04/16: Tr: 04/18: ------------------------- quiz 3 (on homework 06-08) 14.6: Tangent Planes and Differentials. 14.7: Extreme Values and Saddle Points (and Gradient Analysis). Week 10: Mn: 04/22: Recitation (on homework 09) Tu: 04/23: Tr: 04/25: 14.8: Lagrange Multipliers. 14.9: Taylor Formula for Two Variables. 14.10: Partial Derivatives with Constrained Variables. Week 11: Mn: 04/29: Recitation (on homework 10) Tu: 04/30: Tr: 05/02: ------------------------- quiz 4 (on homework 09-10) 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 12: Mn: 05/06: Recitation (on homework 11) Tu: 05/07: Tr: 05/09: 15.5: Triple Integrals in Rectangular Coordinates. 15.7: Triple Integrals in Cylindrical and Spherical Coordinates. Week 13: Mn: 05/13: No recitation this week Tu: 05/14: ------------------------- Midterm 2 (on homework 06-11) Tr: 05/16: 15.8: Substitutions in Multiple Integrals. Week 14: Mn: 05/20: Recitation (on homework 12-13) Tu: 05/21: Tr: 05/22: 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 5 (on homework 12-14) 16.3: Path Independence, Conservative Fields and Potential Functions. 16.4: Green's Theorem in the Plane. Week 16: Mn: 06/03: Recitation (on homework 15) Tu: 06/04: Tr: 06/06: 16.5: Surface and Area. 16.6: Surface Integrals. Week 17: Mn: 06/10: Recitation (eve of Holiday) Tu: 06/11: Tr: 06/13: Week 18: Tr: 6/16: Final Exam.