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Review and Practice for Exam II
Math 408C: Unique Numbers 56975, 56980, and 56985
To be done before Tuesday, November 10
Exam topics
You will be fully prepared for Exam II if you can:
1. Find intervals where a function is increasing/decreasing or concave up/down.
3. Compute limits at in±nity.
4. Compute vertical, horizontal, and slant asymptotes of a function.
5. Use calculus to graph a function. In particular, you should understand how the
derivatives and asymptotes of a function a²ect the shape of its graph.
6. Solve optimization problems. In particular, be able to ±nd the maximum and mini
mum values of a continuous function on a closed interval.
7. Write a de±nite integral as a limit of Riemann sums.
8. Estimate a de±nite integral by a Riemann sum with
n
terms.
9. Compute inde±nite integrals (antiderivatives) and de±nite integrals of simple func
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This note was uploaded on 02/09/2010 for the course M 408c taught by Professor Mcadam during the Fall '06 term at University of Texas at Austin.
 Fall '06
 McAdam
 Math, Calculus

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