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Exam-II-Review - Review and Practice for Exam II Math 408C...

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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 I is scheduled for 2:00°3:15 PM, Tuesday, November 10, in WEL 1.316 (Welch). 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. 2. Find critical points and in°ection points of a function. 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 a/ect 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- tions.
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