MATHEMATICS 1210-90 --- Online Calculus I --- Fall 2009 TENTATIVE SCHEDULE WEEK DATE LECTURE TOPIC TEXTBOOK -------------------------------------------------------------------------------------------------------------- | 1 | MO 8/24/09 | 1| Polynomial calculus: Straight lines | PC.1 | 1 | TU 8/25/09 | 2| The slope of a curve | PC.2 | 1 | WE 8/26/09 | 3| The derivative of a polynomial | PC.3a | 1 | TH 8/27/09 | 4| | WebWorK 0 (Demo) | 1 | FR 8/28/09 | 5| Velocity and acceleration | PC.3b -------------------------------------------------------------------------------------------------------------- | 2 | MO 8/31/09 | 6| The antiderivative of a polynomial | PC.4 | 2 | TU 9/ 1/09 | 7| Definite integrals | PC.5a | 2 | WE 9/ 2/09 | 8| The fundamental theorem (polynomials) | PC.5b | 2 | TH 9/ 3/09 | 9| | WebWorK 1 (PC Notes 1-3a) | 2 | FR 9/ 4/09 | 10| Real #s | 0.1 -------------------------------------------------------------------------------------------------------------- | 3 | MO 9/ 7/09 | | N O C L A S S | | 3 | TU 9/ 8/09 | 11| Estimation, Inequalities | 0.2 | 3 | WE 9/ 9/09 | 12| Roots | 0.3 | 3 | TH 9/10/09 | 13| | WebWorK 2 (PC notes 3b-5b, p. 133 Thm A.) | 3 | FR 9/11/09 | 14| Rectangular Coordinates, Graphs, Lines | 0.4 -------------------------------------------------------------------------------------------------------------- | 4 | MO 9/14/09 | 15| Functions and Their Graphs | 0.5 | 4 | TU 9/15/09 | 16| Operations on Functions | 0.6 | 4 | WE 9/16/09 | 17| The Trigonometric Functions | 0.7 | 4 | TH 9/17/09 | 18| | WebWorK 3 (0.1-3), WebWorK 4 (0.4-7) | 4 | FR 9/18/09 | 19| Introduction to Limits | 1.1 -------------------------------------------------------------------------------------------------------------- | 5 | MO 9/21/09 | 20| Rigorous Study of Limits | 1.2 | 5 | TU 9/22/09 | 21| Limit Theorems | 1.3 | 5 | WE 9/23/09 | 22| Limits Involving Trigonometric Functions | 1.4 | 5 | TH 9/24/09 | 23| | WebWorK 5 (1.1-3) | 5 | FR 9/25/09 | 24| Limits at Infinity, Infinite Limits | 1.5 -------------------------------------------------------------------------------------------------------------- | 6 | MO 9/28/09 | 25| Continuity of Functions | 1.6 | 6 | TU 9/29/09 | 26| PC Notes, Chapters 0, 1 Review | 1.7 | 6 | WE 9/30/09 | 27| Two Problems and One Theme | 2.1 | 6 | TH 10/ 1/09 | 28| Exam 1: Chapters 0, 1, PC Notes (Approximate) | WebWorK 6 (1.4-6) | 6 | FR 10/ 2/09 | 29| The Derivative | 2.2 -------------------------------------------------------------------------------------------------------------- | 7 | MO 10/ 5/09 | 30| Rules for Finding Derivatives | 2.3 | 7 | TU 10/ 6/09 | 31| Derivatives of Trigonometric Functions | 2.4 | 7 | WE 10/ 7/09 | 32| The Chain Rule | 2.5 | 7 | TH 10/ 8/09 | 33| | WebWorK 7 (2.1-3) | 7 | FR 10/ 9/09 | 34| Higher-Order Derivatives | 2.6 -------------------------------------------------------------------------------------------------------------- | 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 | TH 10/15/09 | | N O C L A S S | | 8 | FR 10/16/09 | | N O C L A S S | -------------------------------------------------------------------------------------------------------------- | 9 | MO 10/19/09 | 35| Implicit Differentiation | 2.7 | 9 | TU 10/20/09 | 36| Related Rates | 2.8 | 9 | WE 10/21/09 | 37| Differentials and Approximations | 2.9 | 9 | TH 10/22/09 | 38| | WebWorK 8 (2.4-6) | 9 | FR 10/23/09 | 39| Chapter 2 Review | 2.10 -------------------------------------------------------------------------------------------------------------- | 10 | MO 10/26/09 | 40| Maxima and Minima | 3.1 | 10 | TU 10/27/09 | 41| Monotonicity and Concavity | 3.2 | 10 | WE 10/28/09 | 42| Local Extrema and Extrema on Open Intervals | 3.3 | 10 | TH 10/29/09 | 43| Exam 2: Chapter 2 (Approximate) | WebWorK 9 (2.7-9) | 10 | FR 10/30/09 | 44| Practical Problems | 3.4 -------------------------------------------------------------------------------------------------------------- | 11 | MO 11/ 2/09 | 45| Graphing Functions Using Calculus | 3.5 | 11 | TU 11/ 3/09 | 46| The Mean Value Theorem for Derivatives | 3.6 | 11 | WE 11/ 4/09 | 47| Solving Equations Numerically | 3.7 | 11 | TH 11/ 5/09 | 48| | WebWorK 10 (3.1-5) | 11 | FR 11/ 6/09 | 49| Antiderivatives (Indefinite Integrals) | 3.8 -------------------------------------------------------------------------------------------------------------- | 12 | MO 11/ 9/09 | 50| Introduction to Differential Equations | 3.9 | 12 | TU 11/10/09 | 51| Chapter 3 Review | 3.10 | 12 | WE 11/11/09 | 52| Introduction to Area | 4.1 | 12 | TH 11/12/09 | 53| Exam 3: Chapter 3 (Approximate) | WebWorK 11 (3.6-9) | 12 | FR 11/13/09 | 54| The Definite Integral | 4.2 -------------------------------------------------------------------------------------------------------------- | 13 | MO 11/16/09 | 55| The First Fundamental Theorem of Calculus | 4.3 | 13 | TU 11/17/09 | 56| The 2nd FTC and Substitution | 4.4 | 13 | WE 11/18/09 | 57| Integral Mean Value Theorem and Symmetry | 4.5 | 13 | TH 11/19/09 | 58| | WebWorK 12 (4.1-4.3) | 13 | FR 11/20/09 | 59| Numerical Integration | 4.6 -------------------------------------------------------------------------------------------------------------- | 14 | MO 11/23/09 | 60| Review Chapter 4 | 4.7 | 14 | TU 11/24/09 | 61| The Area of a Plane Region | 5.1 | 14 | WE 11/25/09 | 62| Volumes of Solids, Slabs, Disks, Washers | 5.2 | 14 | TH 11/26/09 | | N O C L A S S | | 14 | FR 11/27/09 | | N O C L A S S | -------------------------------------------------------------------------------------------------------------- | 15 | MO 11/30/09 | 63| | WebWorK 13 (4.4-4.6) | 15 | TU 12/ 1/09 | 64| Volumes of Solids of Revolution: Shells | 5.3 | 15 | WE 12/ 2/09 | 65| Length of a Plane Curve | 5.4 | 15 | TH 12/ 3/09 | 66| | WebWorK 14 (5.1-3) | 15 | FR 12/ 4/09 | 67| Work and Fluid Force | 5.5 -------------------------------------------------------------------------------------------------------------- | 16 | MO 12/ 7/09 | 68| Moments, Center of Mass | 5.6 | 16 | TU 12/ 8/09 | 69| Probability and Random Variables | 5.7 | 16 | WE 12/ 9/09 | 70| Chapter 4 Review | | 16 | TH 12/10/09 | 71| | WebWorK 15 (5.4-7) | 16 | FR 12/11/09 | 72| Final Review | --------------------------------------------------------------------------------------------------------------