Math 121
Calculus I

Instructor

Ernest Boyd, Wissink 273, 389-1452
Office Hours:

Textbook

Calculus by Salas, Hille and Etgen, 9th ed.

Course Content

This course presents the calculus of limits, continuity, derivatives and integrals with applications directed towards the natural sciences, engineering and business. We will cover chapters one through five in the textbook. This section will be taught in the computer lab using Mathematica. No prior experience with Mathematica is assumed. Prerequisites for Math 121 are college algebra and trigonometry.

Schedule

8:00 - 8:50 am, MTRF, Wissink Academic Computer Center Room 116
No classes on Sep. 4, Oct. 27, and Nov. 23-24.

Tests

Thursday, Sep. 28, Monday, Oct. 23, and Thursday, Nov. 30.

Final exam

Thursday, Dec. 14, 8 - 10 am.

Grading Policy

Each test will be graded on its own scale normalized to 100%. The final will also be graded on a scale normalized to 100%. All of the homework and quizzes collected will be totaled and graded as one test. At the end of the semester the five grades will be averaged and compared to the average of the scales. Grading will reflect the mathematical correctness of the answer and the quality of the presentation in terms of completeness and organization. Late assignments will be penalized. Active participation in the class discussions will also be factored into the evaluations. Make-up tests will be given only in special cases, when an excused absence has been prearranged. Incompletes will follow the university's policy as expressed in the student bulletins and the faculty handbook. No incomplete will be given to repeat the entire course.

MSU provides students with disabilities reasonable accommodation to participate in educational programs, activities or services. Students with disabilities requiring accommodation to participate in class activities or meet course requirements should first register with the Office of Disability Services, located in 0132 Memorial Library, telephone 389-2825, TDD 711 and then contact me as soon as possible.

Mathematica Supplements

  1. Graphing Functions
  2. Graphing Trigonometric Functions
  3. Zooming in on Functions
  4. Limits with (delta, epsilon)
  5. Slope of the Secant Line
  6. Difference Quotient for Trigonometric Functions
  7. Difference Quotient for Exponential Function
  8. Derivative
  9. Implicit Differentiation
  10. Newton's Method
  11. Concavity
  12. Antiderivative or Indefinite Integral
  13. Riemann Sum
  14. Fundamental Theorem of Calculus
  15. Area Between Two Curves
  16. Surface of Revolution
  17. Which Graph is Which?

Homework Assignments

  1. Read pages 1-10.
  2. Use a graph to estimate the solution of tan x = 3x. Hand in the graph and the estimated root on Friday, Sep. 1.
  3. In the following graph of function F(X) list F'(-4), F'(-2), F'(0), F'(2) and F'(4) in increasing order.
    (Ref: Calculus by Ostebee and Zorn)
  4. Read pages 119-129.
  5. Page 129 #1, 6, 11, 12, 15, 20. Hand in #6, 12 and 20 on Thursday, Sep. 7.
  6. Page 141-142 #3, 8, 15, 17, 19, 23, 31, 33, 35, 43, 51, 53, 55, 57, 66.
  7. Page 165-166 #5, 7, 13, 17, 25, 27, 47, 49, 53.
  8. Chain Rule
  9. Page 147 #27, 37, 43, 50, 53. Hand in #50 on Thursday, Sep. 14.
  10. Page 157-158 #3, 7, 14, 27-36, 49, 51, 52, 63. Hand in #14, 52 on Friday, Sep. 15.
  11. Page 172-174 #1-12, 31, 32, 73, 74.
  12. Quiz on derivatives on Thursday, Sep. 21.
  13. Page 179 #23-36, 45, 47, 49, 53, 57.
  14. Derivative review problems
  15. Page 404 #1-24.
  16. Page 395 #1-14.
  17. Test review problems
  18. Read pages 59-68.
  19. Page 69 #1-11, 19-33, 39-43. Odd numbered problems only. Hand in #48 on Friday, Oct. 6.
  20. Page 109 #5, 7, 9, 12, 13, 17, 18, 31. Hand in #12, 18 on Friday, Oct. 6.
  21. Page 81 #9, 15, 27-29, 32, 37, 38, 51, 52. Hand in #32, 38, 52 on Thursday, Oct. 12.
  22. Page 100 #7, 11, 13, 15, 40, 59.
  23. Page 90 #3, 38, 45-51.
  24. Read pages 93-94, and 127-129.
  25. Page 185-186 #5, 15, 17, 18, 21, 25, 26, 31, 36, 37, 42. Hand in #8, 18, 26, 36 on Tuesday, Oct. 17.
  26. Page 193-194 #24, 43-45.
  27. Page 420 #9, 15, 18, 27, 28, 33.
  28. Test review problems
  29. Page 202-203 #5, 9, 12, 13, 14, 15, 18, 36. Hand in #18 and 36 on Friday, Nov. 3.
  30. Page 210-211 #7, 17, 21, 35, 41-46, 55, 60, 61, 67, 71.
  31. Page 242 #11, 19, 21.
  32. Page 405 #57, 69, 70. Also analyze y = eaxsin(bx) for different values of a and b.
  33. Page 249 #7, 9, 13.
  34. Page 258 #18, 26, 30.
  35. Hand in these problems on Monday, Nov. 13. (Click here)
  36. Read pages 110-115.
  37. Page 218-219 #9, 13, 17, 27, 36.
  38. Page 226-227 #5, 13, 19, 23, 27.
  39. Page 234-236 #3, 18, 23, 43. Hand in #18 on Thursday, Nov. 16.
  40. Page 404 #54, 55. Hand in #54 on Thursday, Nov. 16.
  41. Read Sections 5.1, 5.2, 5.3.
  42. Page 282 #1, 5, 14, 18, 23-26.
  43. Page 290-292 #1-34, 47, 57, 61.
  44. Page 304 #5, 7, 42, 43, 51.
  45. Page 313 #1-26, 39-62.
  46. Page 395 #17, 19, 23, 26, 33, 42, 43.
  47. Page 404 #25, 29, 32, 35, 37, 41, 47.
  48. Test review problems
  49. Page 298 #35, 37.
  50. Page 330 #5, 19, 23.
  51. Page 341 #3, 9, 15, 37, 41.
  52. Page 348 #3, 6, 42.
  53. Page 355 #10, 17.
  54. Review problems
  55. Review problems

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