Module 4. Limits and Continuity Limits Objectives: After working through the Readings, Web Materials and the Homework, the student should be able to understand graphically the definition of limits; find graphically d when given e; understand the relationship between a limit and the right-hand and left-hand limits; apply the squeeze theorem. Readings: Section 2.3 and Appendix D of Stewart. Web Materials: Homework Problems: (due September 25) Stewart p.118: 20, 21, 31, 32 Stewart p.A39: 1, 2, 3, 4, 5, 6 Continuty Objectives: After working through the Readings, Web Materials and the Homework, the student should be able to understand the definition of continuity; be able to derive theorems about combining continuous functions and to apply these theorems; understand graphically the concept of a continuous function; understand and apply the Intermediate Value Theorem; understand and apply the Bisection Method to approximate roots of equations and be able to calculate the error in this approximation. Readings: Section 2.4 of Stewart Web Materials: Homework Problems: (due September 28) Stewart p.129: 3, 11, 12, 14, 27, 28, 31, 33, 34, 39(Use bisection method). Infinite Limits Objectives: After working through the Readings, Web Materials and the Homework, the student should be able to find vertical and horizontal asymptotes of functions. Readings: Section 2.5 of Stewart. Web Materials: Homework Problems: (due September 30) Stewart p.140: 3, 15, 17, 19, 20, 21, 22, 23, 33, 40, 41 Using the Definition of Derivative Objectives: After working through the Readings, Web Materials and the Homework, the student should be able to use the properties of limits and techniques of evaluating limits to calculate the derivative at a point. Readings: Section 2.7 of Stewart. Web Materials: Homework Problems: (due October 2) Stewart p.156: 8, 9, 15, 24