Last update: 04/02/29 Contents: Chap 09: Infinite Series: 9.1-8. Chap 10: 10.3-8. Chap 11: 11.7 only. Chap 12: Vector Valued Funstions: 12.1, 12.3. 12.4. Chap 13: Partial Derivatives. 13.1-8. Chap 14: Multiple Integrals: 14.1, 14.3-4, 14.6-7. Chap 15: Integration in Vector Fields. 15.1, 15.3-8. Week 01: (no recitation this week) Tu: 02/17(1hr) : Tr: 02/19(2hr) : 9.1: Sequences. 9.2: Infinite series 9.3: Comparison and Integral Tests. 9.4: Ration and Root Tests. Week 02: Tu: 02/24(1hr): Recitation Tu: 02/24(1hr): Tr: 02/26(2hr): 9.5: Alternating Series and Absolute Convergence. 9.6: Power series. 9.7: Taylor and MacLaurin Series. Week 03: Tu: 03/02(1hr): Recitation Tu: 03/02(1hr): Tr: 03/04(2hr): ------------------------------ quiz 1 (9.1-9.6) 9.8: Calculation with Taylor Series. 10.3: Parametrization of Curves. 10.4: Calculation with Parametrized Curves. Week 04: Tu: 03/09(1hr): Recitation Tu: 03/09(1hr): Tr: 03/11(2hr): 10.5: Polar Coordinates. 10.6: Polar Graphs. 10.8: Integration in Polar Coordinates. Week 05: Tu: 03/16(1hr): Recitation Tu: 03/16(1hr): Tr: 03/18(2hr): 11.7: Cylindrical and Spherical Coordinates. 12.1: Vector Valued Functions and Space Curves. 12.3: Arc Length and the Unit Tangent Vector. Week 06: Tu: 03/23(1hr): Recitation Tu: 03/23(1hr): Tr: 03/25(2hr): ---------------------------------- quiz 2 (Chap10-11) 12.4: Curvature, Torsion and the TNB Frame. 13.1: Functions of Several Independent Variables. 13.2: Limit and Continuity. Week 07: Tu: 03/30(1hr): Recitation Tu: 03/30(1hr): Tr: 04/01(2hr): ------------------------- ( Spring Break, No Class ) 13.3: Partial Derivatives. Week 08: Tu: 04/06(1hr): Tu: 04/06(1hr): Tr: 04/08(2hr): 13.4: Differentiability, Linearization and Differentials. 13.5: The Chain Rule. Week 09: Tu: 04/13(1hr): Recitation Tu: 04/13(1hr): Preview for Midterm Tr: 04/15(2hr): -------------------------- Midterm Exam ( 9.1-13.5 ) Week 10: Tu: 04/20(1hr): Review for Midterm. Tu: 04/20(1hr): Tr: 04/22(2hr): 13.6: Directional Derivatives, Gradient Vectors and Tangent Planes. 13.7: Maxima, Minima and Saddle Points. 13.8: Lagrange Multipliers. Week 11: Tu: 04/27(1hr): Recitation Tu: 04/27(1hr): Tr: 04/29(2hr): 14.1: Double Integrals. 14.3: Double Integrals in Polar Form. 14.4: Triple Integrals in Rectangular Coordinates. Week 12: Tu: 05/04(1hr): Recitation Tu: 05/04(1hr): Tr: 05/06(2hr): -------------------------- quiz 3 ( 13.6-14.4 ) 14.6: Triple Integrals in Cylindrical and Spherical Coordinates. 14.7: Substitutions in Multiple Integrals. Week 13: Tu: 05/11(1hr): Recitation Tu: 05/11(1hr): Tr: 05/13(2hr): 15.1: Line Integrals. 15.3: Path Independence, Potentials, and Conservative Fields. Week 14: Tu: 05/18(1hr): Recitation Tu: 05/18(1hr): Tr: 05/20(2hr): 15.4: Green's Theorem in the Plane. 15.5: Surface Area and Surface Integrals. Week 15: Tu: 05/25(1hr): Recitation Tu: 05/25(1hr): -------------------------- quiz 4 ( 14.6-15.5 ) Tr: 05/27(2hr): 15.6: Parametrized Curves. 15.7: Stokes's Theorem. Week 16: Tu: 06/01(1hr): Recitation Tu: 06/01(1hr): Tr: 06/03(2hr): 15.8: The Divergence Theorem. Week 17: Tu: 06/08(1hr): Recitation Tu: 06/08(1hr): Review for Final Exam. Tr: 06/10(2hr): Final Exam.