MATHEMATICS 2210-90 --- Online Calculus III --- Fall 2009 TENTATIVE SCHEDULE WEEK DATE LECTURE TOPIC TEXTBOOK -------------------------------------------------------------------------------------------------------------- | 1 | MO 8/24/09 | 1| Cartesian Coordinates in Three-Space | 11.1 | 1 | TU 8/25/09 | 2| | WebWorK 0, Demo | 1 | WE 8/26/09 | 3| Vectors | 11.2 | 1 | FR 8/28/09 | 4| The Dot Product | 11.3 -------------------------------------------------------------------------------------------------------------- | 2 | MO 8/31/09 | 5| The Cross Product | 11.4 | 2 | TU 9/ 1/09 | 6| | WebWorK 1 (11.1-4) | 2 | WE 9/ 2/09 | 7| Vector-Valued Functions, Curvilinear Motion | 11.5 | 2 | FR 9/ 4/09 | 8| Lines, Curves, and Tangent Lines in Three-Space | 11.6 -------------------------------------------------------------------------------------------------------------- | 3 | MO 9/ 7/09 | | N O C L A S S | | 3 | TU 9/ 8/09 | 9| | WebWorK 2 (11.5-7) | 3 | WE 9/ 9/09 | 10| Velocity, Acceleration and its Components, Curvature | 11.7 | 3 | FR 9/11/09 | 11| Surfaces in Three-Space | 11.8 -------------------------------------------------------------------------------------------------------------- | 4 | MO 9/14/09 | 12| Cylindrical and Spherical Coordinates | 11.9 | 4 | TU 9/15/09 | 13| | WebWorK 3 (11.8-9) | 4 | WE 9/16/09 | 14| Review: Chapter 1, Exam 1: Chapter 11 (Approximate) | 11.10 | 4 | FR 9/18/09 | 15| Parametrized Surfaces and their Tangents | p. 760, 14.5 -------------------------------------------------------------------------------------------------------------- | 5 | MO 9/21/09 | 16| Functions of Two or More Variables | 12.1 | 5 | TU 9/22/09 | 17| | | 5 | WE 9/23/09 | 18| Partial Derivatives | 12.2 | 5 | FR 9/25/09 | 19| Limits and Continuity | 12.3 -------------------------------------------------------------------------------------------------------------- | 6 | MO 9/28/09 | 20| Differentiability | 12.4 | 6 | TU 9/29/09 | 21| | WebWorK 4 (12.1-4) | 6 | WE 9/30/09 | 22| Directional Derivatives and Gradients | 12.5 | 6 | FR 10/ 2/09 | 23| The Chain Rule | 12.6 -------------------------------------------------------------------------------------------------------------- | 7 | MO 10/ 5/09 | 24| Tangent Planes, Approximations | 12.7 | 7 | TU 10/ 6/09 | 25| | WebWorK 5 (12.5-7) | 7 | WE 10/ 7/09 | 26| Maxima and Minima | 12.8 | 7 | FR 10/ 9/09 | 27| Lagrange's Method | 12.9 -------------------------------------------------------------------------------------------------------------- | 8 | MO 10/12/09 | | N O C L A S S | | 8 | TU 10/13/09 | | N O C L A S S | | 8 | WE 10/14/09 | | N O C L A S S | | 8 | FR 10/16/09 | | N O C L A S S | -------------------------------------------------------------------------------------------------------------- | 9 | MO 10/19/09 | 28| Review: Chapter 12 | 12.10 | 9 | TU 10/20/09 | 29| | WebWorK 6 (12.8-9) | 9 | WE 10/21/09 | 30| Exam 2: Chapter 12 (Approximate) | | 9 | FR 10/23/09 | 31| Double Integrals over Rectangles | 13.1 -------------------------------------------------------------------------------------------------------------- | 10 | MO 10/26/09 | 32| Iterated Integrals | 13.2 | 10 | TU 10/27/09 | 33| | | 10 | WE 10/28/09 | 34| Double Integrals - Nonrectangular Regions | 13.3 | 10 | FR 10/30/09 | 35| Double Integrals in Polar Coordinates | 13.4 -------------------------------------------------------------------------------------------------------------- | 11 | MO 11/ 2/09 | 36| Applications of Double Integrals | 13.5 | 11 | TU 11/ 3/09 | 37| | WebWorK 7 (13.1-5) | 11 | WE 11/ 4/09 | 38| Surface Area | 13.6 | 11 | FR 11/ 6/09 | 39| Triple Integrals (Cartesian Coordinates) | 13.7 -------------------------------------------------------------------------------------------------------------- | 12 | MO 11/ 9/09 | 40| | | 12 | TU 11/10/09 | 41| Triple Integrals (Cylindrical, Spherical Coordinates) | 13.8 | 12 | WE 11/11/09 | 42| Change of Variables in Multiple Integrals | 13.9 | 12 | FR 11/13/09 | 43| Review: Chapter 13 | 13.10 -------------------------------------------------------------------------------------------------------------- | 13 | MO 11/16/09 | 44| Exam 3: Chapter 13 (Approximate) | | 13 | TU 11/17/09 | 45| | WebWorK 8 (13.6-9) | 13 | WE 11/18/09 | 46| Vector Fields | 14.1 | 13 | FR 11/20/09 | 47| Line Integrals | 14.2 -------------------------------------------------------------------------------------------------------------- | 14 | MO 11/23/09 | 48| Independence of Path | 14.3 | 14 | TU 11/24/09 | 49| | WebWorK 9 (14.1-2) | 14 | WE 11/25/09 | 50| Green's Theorem in the Plane | 14.4 | 14 | FR 11/27/09 | | N O C L A S S | -------------------------------------------------------------------------------------------------------------- | 15 | MO 11/30/09 | 51| Surface Integrals | 14.5 | 15 | TU 12/ 1/09 | 52| | WebWorK 10 (14.3-4) | 15 | WE 12/ 2/09 | 53| Gauss' Divergence Theorem | 14.6 | 15 | FR 12/ 4/09 | 54| Stokes' Theorem | 14.7 -------------------------------------------------------------------------------------------------------------- | 16 | MO 12/ 7/09 | 55| Review: Chapter 14 | 14.8 | 16 | TU 12/ 8/09 | 56| | WebWorK 11 (14.5-7) | 16 | WE 12/ 9/09 | 57| Stokes' Theorem in n-space | | 16 | FR 12/11/09 | 58| Final Review | --------------------------------------------------------------------------------------------------------------