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MAC 2311

1. (0.1), p. 12, # 7,8,31,33 (Functions)
2. (0.2), p. 25, # 31-34, 36, 37, 38 (New functions from old ones)
3. (0.3), p. 35, # (Families of functions)

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4. (0.4), p. 49, # 11-15, 18, 19, 34, 35, 41, 54-56. (Inverse
functions; inverse trigonometric functions)
5. (0.5), p. 61, #5, 12, 15, 18-21, 26-28 (Exponential and logarithmic
functions)

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Quiz 1:Wednesday, September 05. Sections: 1.1-1.6. 3 problems, 50 minutes
maximum time.
**** Problem session: Friday, 08/31.
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6. (1.1), p. 77 (Limit, An intuitive approach)
7. (1.2), p. 87, #11-22 (Computing limits)

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Free tutoring is available in GL 120. This is a Department of Mathematics
service.
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8. (1.3), p. 97, #15-30, 31, 32, 57-61 (Limits at infinity,
end behavior of a function)
9. (1.4), p. 106, #13-19 (Limits,
discussed more rigorously)
10. (1.5), p. 118, #13-16, 29, 30, 47-49 (Continuity)
11. (1.6), p. 125, 25-35, 67, 68 (Continuity of trigonometric, exponential
and inverse functions)

12. (2.1), p. 140, #15-18 (Tangent lines and rates of change)
13. (2.2), p. 152, #12-14, 47, 48 (The derivative function)
14. (2.3), p. 161, #3-6, 11-14, 42, 59, 65, 68
(Introduction to techniques of differentiation)

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**** Quiz 2: September 17. Sections: 1.5, 1.6, 2.1, 2.2, 2.3, 2.4.
**** Problem session: Friday, September 14.
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Exam I, Monday, October 01. Sections:1.1--1.6, 2.1,--,2.6, 3.1, 3.2.
**** 6 problems, 90 minutes maximum time.
**** Problem session: Friday, September 28.
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15. (2.4), p. 168, #10-15, 32, 33 (The product and quotient rules)
16. (2.5), p. 172, #12-16, 32 (Derivative of
trigonometric functions)
17. (2.6), p.178, #13-20, 35-40, 48, 49 (The
chain rule)
18. (3.1), p. 190, #5-10, **15-17**, 26, 27 (Implicit differentiation)

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Quiz 3: Monday, October 15. Sections 3.3-3.6, 4.1.
**** Problem session: Friday, October 12. Attendance will be taken!
**** Quiz 4: Wednesday, November 14. Sections:4.2--4.5.
**** Problem session: Friday, November 09
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19. (3.2), p. 195, #8-16, 28, 39, 54, 55 (Derivatives of logarithmic
functions)
20. (3.3), p. 201, #17-25, 40-45, 59, 60 (Derivatives of exponential and
inverses trigonometric
functions)
21. (3.4), p. 208, #12-17, 37, 43, 46 (Related rates)

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22. (3.5), p. 217, #23-25, 44, 45, 52, 53, 62-65 (Local linear
approximation, differentials)
23. (3.6), p. 226, #10-20, 26-30, 36-40 (L'Hopital's rule; Indeterminate
forms).
24. (4.1), p. 240, #19-24,35-38, 45,46, 57 (Analysis of functions I:Increase,
Decrease and Concavity).

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25. (4.2), p. 252, #5-11, 34-38, 54-58 (Analysis of functions II: Relative
extrema, graphing
polynomials).
26. (4.3), p. 264, #5-10, 21-24,32-36, 50-54, 58-60 (Analysis of functions
III: Rational functions, cusps and
vertical tangents).
27. (4.4), p. 272, #10-15, 22-26,**27, 28** 53, 54 (Absolute maxima
and minima).
28. (4.5), p. 283, #4-10, 21-26, 38, 44, 55 (Applied maximum and minimum
problems).
29. (4.8), p. 308 #21-24, 29, 30 (Rolle's Theorem, Mean Value Theorem)

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Exam II: Monday, November 26. Sections 3.3--5.3.
**** Exam II, Six problems, maximum of 100 pts.
**** Problem session: Wednesday, November 21.
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30. (5.2), p. 329, #11-16, 21-26, 44-46, 53-56. (The indefinite Integral).
31. (5.3), p. 338, #7-10, 27-32, 40-45. (Integration by substitution).

32. (10.1), Page 701, #5-10, 48-54. Page 716, #9-12, 33-38. Page
726, #1-5. (Parametric
equations; Tangent lines for
parametric and polar curves).

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****Final Examination: Friday, December 7, 2012. 1200-1400, Paul Cejas
Architecture 165.
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8 problems, maximum score: 120 points.
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