Study Guide for Exam 1
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This 1 page Study Guide was uploaded by Minh Truong on Wednesday April 6, 2016. The Study Guide belongs to 182 at Montgomery College taught by Andrea Stealman in Spring 2016. Since its upload, it has received 34 views. For similar materials see Calculus 2 in Math at Montgomery College.
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Date Created: 04/06/16
MATH 182 Calculus II (Steelman) Exam #1 Study Guide NO CALCULATOR IS PERMITTED ON THIS EXAM. The exam consists of 10 questions and is designed to take 5060 minutes although you will be able to use the entire class time. No questions may be asked during the exam. You CANNOT leave the test for ANY reason. If you have an emergency and must leave the classroom, you can invoke the “Missed Exam Policy”. You may NOT reach into your bag during this exam. Be prepared when you arrive for class. EXAM 1 OBECTIVES Students should be able to: 1. Know the derivatives 121 on Reference Page 5 and integrals 110 on Reference Page 6. (Review) 2. Interpret a definite integral in the context of a real world situation. (Review) 3. Evaluate definite and indefinite integrals using usubstitution. (5.5) 4. Understand the relationship between area and the integral for even and odd functions, including from a graphical perspective. (Review, 5.5) 5. Evaluate definite and indefinite integrals using integration by parts. (5.6) 6. Evaluate the integrals of inverse sine and cosine using integration by parts. (5.6) 7. Be able to evaluate definite and indefinite integrals using both usubstitution and integration by parts. (5.5, 5.6) 8. Evaluate trigonometric integrals using trigonometric identities, in particular the half angle identities and Pythagorean identities. (5.7) 9. Know how to construct partial fractions with nonrepeated linear or quadratic factors in the denominator. (5.7 and Appendix G) 10. Evaluate integrals using partial fractions. (5.7 and Appendix G) 11. Evaluate an integral using a table of integrals. Formula will be given to you. (5.8) 12. Understand what type of functions can be integrated and identify which method to use. (Review, all sections) 13. Evaluate limits using l’Hospital’rule where appropriate. (4.5) 14. Be able to identify indeterminate types when using l’Hospital’s rule. (4.5) 15. Explain why l’Hospital’s rule does not apply in a given situation. (4.5)
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