MATH 31-Review3 - difference Laws product and quotient law...

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MATH 31-10, Honors Calculus I, Fall 2006 Review for Final Exam Review the material covered in the lectures, Sections 2.1-6.1 (excluding section 3.3, section 3.9, sections 4.5-4.6, sections 4.8-4.9, 4.6, and section 5.6). Review your homework, quizzes, and exams. I. Definite and Indefinite Integrals (Chapter 5) (a) Review the definition of Riemann Sums (left, right, lower and upper sums); review the definition of definite integral as the limit of a Riemann sum; review the basic properties of a definite integral; review the Fundamental Theorem of Calculus. (b) Do the following problems: (p. 391), 24, 30; (p. 431): 20, 24, 25, 47, 65, 68, 69, 70 II. Limits and Continuity (Chapter 2) (a) Review the precise definition of a limit (p. 115), review the sum and
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Unformatted text preview: difference Laws; product and quotient law; the squeeze law and their proofs. (b) Review the Intermediate-value theorem (c) Do the following problems (p. 177): 7, 11, 19, 29, 35 III. Differentiations and Applications (Chapter 3 &4) (a). Review the definition of a function (p.158, p.165); be very familiar with the basic differentiation rules, including sum/difference rule, product/quotient rule, chain rule and implicit differentiation. Review L’Hospitale’s rule. (b). Do the following problems (p.271): 5, 7, 9, 10, 18, 39, 72, 97, 104. (c). Review the statements of the Extreme Value Theorem and the Mean Value Theorem. (d). Do the following problems (p.362): 1, 9, 14, 17, 45, 52, 53, 81...
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