- 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:
- 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:
- 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:
- Web Materials:
- Homework Problems: (due October 2)
- Stewart p.156: 8, 9, 15, 24
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