Math 120-03 Fall 1999 Study Guide for Quiz #1 Quiz Date:  Monday September 13

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• Quiz on differentiation and elementary integration
• Covers HWK 1
• Topics and/or techniques covered
  Basic differentiation and integration rules and formulas
  Includes basic rules: constant multiple, sum, product, quotient ( Rule 1 and Rules 3-6 in Section 2.2)
  Includes chain rule for finding derivative of composition of two functions (Theorem 5, p156, in 2.5)
  Includes formulas for :
  • derivatives of power functions (Rules 1&7 in 2.2, Thm 6 p168 in 2.6, final form p475 in 6.4)
  • the six trigonometric functions (boxed formulas p 146, p147, p150 in 2.3)
  • natural logarithm and exponential functions (boxed formulas p459 in 6.2, p470 in 6.3)
  • inverse trig functions arcsin and arctan (Table 6.5 p513 in 6.9)

  Includes both definite integrals and indefinite integrals (also called antiderivatives)
  Includes integration formula that simply reverse a derivative formula (From Table 7.1 on p556 in 7.1: Items 1-10, 14, 16 for a = 1, 17 for a = 1 )
  Includes using elementary techniques to rewrite integrals (or other expressions, for that matter), for instance using simplifying algebra or using familiar trig identities or using properties of logarithms
  Includes technique of u-substitution or change of variable for integrals (Sections 4.3 and )
  Does not include: implicit differentiation (Section 2.6 and later)
  Does not include: integration by parts (Section 7.2)
  Does not include: completing the square, using half-angle or double-angle formulas
  Does not include exponential/logarithm functions for base other than e (Section 6.4)
  OK to use calculators for values of trig functions
  

• Possible Review Problems (don't do them all!)

  2.2 p 129: 5, 11, 17, 23, 25, 39
  2.4 p152: 5, 9, 15, 19, 23, 25a, 66 (answer: sin x)
  2.5 p160: 3, 15, 19, 27, 33, 43, 45, 49, 55, 57, 59, 61
  2.6 p170: 3, 9, 15
  Ch 2 Practice p181: 5, 9, 11, 13, 27, 37, 39
  4.1 p280: 3, 5, 7, 11, 13, 17, 21, 25, 29, 39, 45, 51, 57, 59, 61
  4.3 p296: 7, 9, 13, 17, 21, 27, 31, 35, 39, 41, 45
  4.7 p338: 7, 11, 33
  4.8 p344: 7, 9, 13
  Ch 4 Practice p357: 25, 39, 49, 57, 65, 67
  6.2 p465: 15, 17, 19, 29, 53, 55, 57, 63
  6.3 p472: 25, 27, 43, 49, 53, 61
  6.9 p518: 3, 13, 21, 35, 41, 43, 45, 57, 59, 61
  Ch 6 Practice p548: 5, 19, 33, 35, 41, 53, 57, 61
  7.1 p560: 3, 5, 7, 19, 23, 25, 27, 53, 55
  

• Practice Quiz
  A practice quiz is available that should give you an idea what kind of quiz to expect.
  Copies can also be found in the gray bin on the floor outside my office (SC 370).

Questions?
See me in office hours or send me e-mail. When applicable, give page or section number, give problem number, and be specific.

• Alexia Sontag, Mathematics
• Created by: Kate Golder
• Wellesley College
• Date Created: June 28, 1999
• Last Modified: September 10, 1999
• Expires: August 31, 2000