courses:calculus_i:spring_2010:tests

Here are objectives for test 1. Your lesson plan should cover these objectives.

- Limits
- Estimate a limit graphically
- Explain what a limit is
- Evaluate a limit:
- of a continuous function
- using dividing and rationalizing techniques
- using the Squeeze theorem
- using the trig fact about the limit of sin(x)/x as x approaches 0
- an infinite limit (i.e., a limit which is equal to infinity or negative infinity)

- Continuity
- Definition of a continuous function
- Know the types of discontinuities
- Determine if a function is continuous, and if not, what type of discontinuity there is
- Redefine a function that has a removable discontinuity to remove that discontinuity

- Understand and use the Intermediate Value Theorem
- Find a sketch vertical and horizontal asymptotes of a graph