Last update: 2014/03/20 Contents: Chap 09: First-Order Differential Equations: 9.2 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: 02/20: 9.2: First-Order Linear Equations 10.1: Sequences. 10.2: Infinite series 10.3: The Integral Test 10.4: Comparison Tests Week 02: Tu: 02/25: We: 02/26: Recitation (on homework 01) Tr: 02/27: 10.5: The Ratio and Root Tests. 10.6: Alternating Series and Absolute Convergence. 10.7: Power series. Week 03: Tu: 03/04: We: 03/05: Recitation (on homework 02) Tr: 03/06: ------------------------ quiz 1 (on homework 01-02) 10.8: Taylor and MacLaurin Series. 10.9: Convergence of Taylor Series. Week 04: Tu: 03/11: We: 03/12: Recitation (on homework 03) Tr: 03/13: 10.10: The Binomial Series and Applications of Taylor Series. % 11.1: Parametrization of Curves. 11.2: Calculation with Parametric Curves. Week 05: Tu: 03/18: We: 03/19: Recitation (on homework 04) Tr: 03/20: ------------------------- quiz 2 (on homework 03-04) 11.3: Polar Coordinates. 11.4: Graphing in Polar Coordinates. 11.5: Area and Length in Polar Coordinates. Week 06: Tu: 03/25: We: 03/26: Recitation (on homework 05) Tr: 03/27: 14.1: Functions of Several Variables. 14.2: Limit and Continuity in Higher Dimensions. 14.3: Partial Derivatives. Week 07: Tu: 04/01: ------------------------- Midterm 1 (on homework 01-05) We: 04/02: No recitation this week Tr: 04/03: -------------------------------- (Spring Break, No Class) Week 08: Tu: 04/08: We: 04/09: Recitation (on homework 06) Tr: 04/10: 14.4: The Chain Rule. 14.5: Directional Derivatives and Gradient Vectors. 14.6: Tangent Planes and Differentials. 14.7: Extreme Values and Saddle Points (and Gradient Analysis). Week 09: Tu: 04/15: We: 04/16: Recitation (on homework 08) Tr: 04/17: ------------------------- quiz 3 (on homework 06-08) 14.8: Lagrange Multipliers. 14.9: Taylor Formula for Two Variables. 14.10: Partial Derivatives with Constrained Variables. Week 10: Tu: 04/22: We: 04/23: Recitation (on homework 09) Tr: 04/24: 15.1: Double and Iterated Integrals over Rectangles. 15.2: Double Integrals over General Regions. 15.3: Area by Double Integration. Week 11: Tu: 04/29: We: 04/30: Recitation (on homework 10) Tr: 05/01: ------------------------- quiz 4 (on homework 09-10) 15.4: Double Integrals in Polar Form. 15.5: Triple Integrals in Rectangular Coordinates. 15.7: Triple Integrals in Cylindrical and Spherical Coordinates. Week 12: Tu: 05/06: We: 05/07: Recitation (on homework 11) Tr: 05/08: ------------------------- Midterm 2 (on homework 06-11) 15.8: Substitutions in Multiple Integrals. Week 13: Tu: 05/13: We: 05/14: No recitation this week Tr: 05/15: 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 14: Tu: 05/20: We: 05/21: Recitation (on homework 12-13) Tr: 05/22: 16.4: Green's Theorem in the Plane. 16.5: Surface and Area. Week 15: Tu: 05/27: We: 05/26: Recitation (on homework 14) Tr: 05/29: -------------------------- quiz 5 (on homework 12-14) 16.6: Surface Integrals. Week 16: Tu: 06/03: We: 06/04: Recitation (on homework 15) Tr: 06/05: 16.7: Stokes's Theorem. 16.8: The Divergence Theorem and a Unified Theory. Week 17: Tu: 06/10: We: 06/11: Recitation (on homework 16) Tr: 06/12: ------------------ possible quiz 6 (on homework 15-16) Week 18: Tr: 06/17 or 6/19: Final Exam.