Unit One: Limits and Continuity
Before you tackle this unit you should take the time to review your
precalculus. Make sure your algebra and trigonometry skills are up to
par, or else you may find yourself confused before you actually get to
any calculus.
Limits are essential to differentiation. In this section, we develop
the concept of the limit and continuity. The limit can be looked very
formally, or very informally. We'll try to take some sort of middle
ground.
Objectives
- Review precalculus concepts
- Limits
- Get an intutive feel for limits
- Read and understand the formal definition of the limit
- Learn methods for evaluating limits
- Look at the special trig limits
- Continuity
- Relate continuity to limits
- Get an intuitive feel for continuity
- Read and understand the formal definition of continuity
Suggested Procedure
- Read
- Simmons, first edtiton
- Chapter 1
- Section 2.5
- Appendix C, sections 1-3 (optional)
- Simmons, second edition
- Chapter 1
- Section 2.5 and 2.6 (just the part about continuous functions)
- Appendix A, sections 1-3
- World Web Math
- Do Problems in Simmons
- 1.6 : #5
- 1.7 : #7, 9, 11, 13
- 1.8 : #1
- 2.5 : # 3, 7, 11, 17, 18, 19
- Take the Practice Unit
Test, Xdvi or PDF.
- Ask your instructor for a unit test.
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Last modified July 30, 1998