MATH 122--Calculus

Professor Matt Miller
miller@math.sc.edu

Section 18 TuTh 2:00-3:15 in LC 412
Text: Applied Calculus by Hughes-Hallett et. al., fourth edition,


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  • Class topics, assignments, and homework problems
  • Jan. 10-12. Functions in terms of graphs, tables, and verbal descriptions, linear functions. Read sections 1.1 and 1.2. Do problems 1, 2, 3, 1, 3, 5, 6, 7-11, 14, 22, 23 from section 1.1. Learn how to graph functions on your calculator. Know how to change the window size and the spacing of the tickmarks (axis scale). Know how to use the trace key to find coordinates on your graph. Know how to zoom in and how to use these features to find roots, that is, the x-coordinates where y = 0. Do problems 1, 3, 5, 7, 9, 11, 13, 17, 19 from 1.2. Read section 1.3 and begin to work on problems 1-5, 7, 10,11, 13, 15, 19, 21, 29, 38, 41.
  • Jan. 17-19. Average rates of change, economic applications, exponential and ln functions. Finish up section 1.3, and go on to read section 1.4 and do problems 1-4, 7, 9, 13, 23, 24. Read section 1.5 and do problems 1, 2, 3, 4, 5, 6, 13, 14, 15, 21, 29. Go on to read section 1.6 and do problems 17-21, 22, 32, 33.
  • Jan. 24-26. Exponential growth and decay, the derivative. Read section 1.7 and do problems 1-5, 11, 13, 21. Read section 1.8 on composition of functions and do problems 1, 3, 5, 6, 11, 13. Read section 1.9 on proportionality and do problems 13-18. Sections 2.1 and 2.2 are extremely important, so it is critical that you read them carefully. I will assign many problems: do as many as you possibly can. In 2.1 do 1, 2, 3, 6, 7, 11, 15, 16, 19, 20, 21. In 2.2 do 1-7, 21-25, 28, 30.
  • Jan. 30-Feb.1. Interpretations of the derivative, tangent line approximation, marginal cost and revenue Read section 2.3 and do problems 1-6, 21-23, 25-27, 31. Read sections 2.4 and 2.5. We also do a lot of review.
  • Feb. 7-9 Test #1, concavity and the second derivative, first look at formulas. In 3.1 do problems 1-7, 9, 13, 19, 23,, 24, 49, 51, 52. There will likely be more to come.
  • Feb. 14-16. More on derivative formulas. Read sections 3.1 and 3.2. Since the test did not cover 2.4 and 2.5, you should back and up do those problems if you have not already done so (in 2.4 #1, 3-7, 10, 11, 13, 16, 17, 22-24; in 2.5 #1, 3, 5, 6, 9, 11, 12). In 3.2 do problems #1, 2, 3, 5, 11, 12, 15, 25, 27, 31, 33, 49. Go on to read section 3.3. Do problems #1, 3, 5, 7, 10, 12, 13, 15, 21, 25.
  • Feb. 21-23. More on derivative formulas, local max and min. Read sections 3.4 and 4.1. In 3.4 do problems # 1, 2, 3, 4, 6, 7, 11, 14, 15, 16, 23, 24, 26, 35, 37, 40, 41. In 4.1 do problems #1, 2, 3, 4, 5, 8, 9, 16, 17, 18 19, 20, 21, 22, 33, 34.
  • Feb. 28-March 1. Points of inflection, global max and min. Read 4.2 and do problems 2, 3, 4, 6, 7, 8, 10, 13, 14, 15, 23, 24, 27, 28, 29, 32. See the solutions for Quiz 4. Read 4.3 and do problems


  • Exams and Projects for Fall, 2012
  • FIRST EXAM: Tues, 7 Feb (day 9) and the solution key. Be in class to know what will be covered!
  • SECOND EXAM: Thurs, 1 March (day 16) and the solution key. Postponed to Thursday, 15 March.
  • THIRD EXAM: Tues 10 April (day 25) and the solution key.
  • FINAL EXAM: Wed 2 May, 9 am

    Last modified: April 29, 2004