MATHEMATICS 1220-90 --- Online Calculus II --- Fall 2009 TENTATIVE SCHEDULE WEEK DATE LECTURE TOPIC TEXTBOOK -------------------------------------------------------------------------------------------------------------- | 1 | MO 8/24/09 | 1| Limits (review) | 1.7 WebWorK 0 (Demo) & Calculus I Review count as bonus points. | 1 | TU 8/25/09 | 2| Differentiation (review) | 2.10 They do not close but should be completed as soon as possible. | 1 | WE 8/26/09 | 3| Applications of differentiation (review) | 3.10, WebWorK 0 (Demo) | 1 | FR 8/28/09 | 4| Integration and the Fundamental Theorem (review) | 4.7 -------------------------------------------------------------------------------------------------------------- | 2 | MO 8/31/09 | 5| Applications of integration (review) | 5.8 | 2 | TU 9/ 1/09 | 6| The natural logarithm function, webwork prep. | 6.1 | 2 | WE 9/ 2/09 | 7| Inverse functions and their derivatives | 6.2, WebWorK Calculus I Review | 2 | FR 9/ 4/09 | 8| The natural exponential function | 6.3 -------------------------------------------------------------------------------------------------------------- | 3 | MO 9/ 7/09 | | N O C L A S S | | 3 | TU 9/ 8/09 | 9| General exponential and logarithm functions | 6.4 | 3 | WE 9/ 9/09 | 10| Exponential growth and decay | 6.5, WebWorK 1 (6.1-4) | 3 | FR 9/11/09 | 11| First-order linear differential equations | 6.6 -------------------------------------------------------------------------------------------------------------- | 4 | MO 9/14/09 | 12| Approximations for Differential Equations (added from old | 6.7 | 4 | TU 9/15/09 | 13| Inverse trigonometric functions and derivatives | 6.8 | 4 | WE 9/16/09 | 14| Hyperbolic functions and their inverses | 6.9, WebWorK 2 (6.5-9) | 4 | FR 9/18/09 | 15| Review: Chapter 6 | 6.10 -------------------------------------------------------------------------------------------------------------- | 5 | MO 9/21/09 | 16| Basic Integration Rules | 7.1 | 5 | TU 9/22/09 | 17| Some trigonometric integrals | 7.2 | 5 | WE 9/23/09 | 18| Exam 1: Chapter 6 (Approximate) | | 5 | FR 9/25/09 | 19| Integration by parts | 7.3, WebWorK 3 (7.1-3) -------------------------------------------------------------------------------------------------------------- | 6 | MO 9/28/09 | 20| Rationalizing substitutions | 7.4 | 6 | TU 9/29/09 | 21| Integration of rational functions | 7.5 | 6 | WE 9/30/09 | 22| Strategies for Integration | 7.6, WebWork 4 (7.4-6) | 6 | FR 10/ 2/09 | 23| Review: Chapter 7 | 7.7 -------------------------------------------------------------------------------------------------------------- | 7 | MO 10/ 5/09 | 24| Indeterminate forms of Type 0/0 | 8.1 | 7 | TU 10/ 6/09 | 25| Other indeterminate forms | 8.2 | 7 | WE 10/ 7/09 | 26| Improper integrals: Infinite limits of integration | 8.3, WebWorK 5 (8.1-3) | 7 | FR 10/ 9/09 | 27| Improper integrals: Infinite integrands | 8.4 -------------------------------------------------------------------------------------------------------------- | 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 8 | 8.5 | 9 | TU 10/20/09 | 29| Infinite sequences | 9.1 | 9 | WE 10/21/09 | 30| Exam 2: Chapters 7 and 8 (Approximate) | | 9 | FR 10/23/09 | 31| Infinite series | 9.2, WebWorK 6 (9.1-2) -------------------------------------------------------------------------------------------------------------- | 10 | MO 10/26/09 | 32| Positive series: The integral test | 9.3 | 10 | TU 10/27/09 | 33| Positive series: Other tests | 9.4 | 10 | WE 10/28/09 | 34| Alternating series, absolute and conditional convergence | 9.5, WebworK 7 (9.3-5) | 10 | FR 10/30/09 | 35| Power series | 9.6 -------------------------------------------------------------------------------------------------------------- | 11 | MO 11/ 2/09 | 36| Operations on power series | 9.7 | 11 | TU 11/ 3/09 | 37| Taylor and Maclaurin series | 9.8 | 11 | WE 11/ 4/09 | 38| The Taylor Approximation to a Function | 9.9, WebWorK 8 (9.6-9) | 11 | FR 11/ 6/09 | 39| Review: Chapter 9 | 9.10 -------------------------------------------------------------------------------------------------------------- | 12 | MO 11/ 9/09 | 40| The parabola | 10.1 | 12 | TU 11/10/09 | 41| Ellipses and hyperbolas | 10.2 | 12 | WE 11/11/09 | 42| Exam 3, Chapter 9 (Approximate) | | 12 | FR 11/13/09 | 43| More on ellipses and hyperbolas | 10.3 -------------------------------------------------------------------------------------------------------------- | 13 | MO 11/16/09 | 44| Translation and Rotation of axes | 10.4 | 13 | TU 11/17/09 | 45| The polar coordinate system | 10.5 | 13 | WE 11/18/09 | 46| Graphs of polar equations | 10.6, WebWorK 9 (10.1-4) | 13 | FR 11/20/09 | 47| Calculus in polar coordinates | 10.7 -------------------------------------------------------------------------------------------------------------- | 14 | MO 11/23/09 | 48| Review: Chapter 10 | 10.8 | 14 | TU 11/24/09 | 49| Linear homogeneous equations | 15.1 | 14 | WE 11/25/09 | 50| Nonhomogeneous equations | 15.2, Webwork 10 (10.5-7) | 14 | FR 11/27/09 | | N O C L A S S | -------------------------------------------------------------------------------------------------------------- | 15 | MO 11/30/09 | 51| Applications of second order equations | 15.3 | 15 | TU 12/ 1/09 | 52| Chapter 15 review | 15.4 | 15 | WE 12/ 2/09 | 53| Review: Chapter 6 | WebWorK 11 (15.1-3) | 15 | FR 12/ 4/09 | 54| Review: Chapter 7 | -------------------------------------------------------------------------------------------------------------- | 16 | MO 12/ 7/09 | 55| Review: Chapter 8 | | 16 | TU 12/ 8/09 | 56| Review: Chapter 9 | | 16 | WE 12/ 9/09 | 57| Review: Chapter 10 | | 16 | FR 12/11/09 | 58| Review: Chapter 15 | --------------------------------------------------------------------------------------------------------------