Math 122
Calculus II

Instructor

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

Textbook

Calculus, 9th Edition, by Salas, Hille and Etgen

Course Content

We will continue the study of one variable calculus. Topics include transcendental functions, techniques of integration, vectors, infinite series, parametric equations and polar coordinates. In the text we will study Chapters 7 - 12. This section will be taught in the computer lab using Mathematica. No prior experience with Mathematica is assumed.

Schedule

10:00 - 10:50 am, MTHF, Academic Computer Center Room 116

Tests

Thursday, Feb. 15
Friday, Mar. 23
Tuesday, Apr. 24
Final exam is Thursday, May 10, 10:15 am - 12:15 pm

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. 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.


Homework Assignments

  1. Click here for review problems.
  2. Page 404 #3, 13, 15, 17, 21, 23, 25, 29, 35, 37, 41, 47, 54, 55, 57, 59, 69, 70.
  3. Page 412 #1-35 odd
  4. Page 421 #9, 15, 18, 27, 28, 33.
  5. Quiz Friday, Jan. 19, reviewing basic derivatives and integrals
  6. Page 432 #3, 9, 14, 15, 17, 19, 22, 23, 39, 41, 45, 47, 52, 53, 58, 68, 70, 71, 72. Hand in #52, 58, 68, 70, 72 on Friday, Jan. 26.
  7. Page 457 #3, 9, 19, 28, 41 - 45. Click here for the assignment to be handed in on Friday, Feb. 2. Also hand in Page 458 #52. Do these by hand without Mathematica.
  8. Page 481 #1, 3, 5, 7, 12, 15, 18, 19, 23. Hand in #12, 18 on Monday, Feb. 5. Do them by hand.
  9. Page 467 #3, 5, 8, 15, 16, 31, 35, 37, 50. Hand in #8, 16, 50 on Thursday, Feb. 8. Do #8 and 16 by hand.
  10. Page 472 #6, 11, 12, 15, 19. Click here for the assignment.
  11. Click here for review problems.
  12. Click here for review problems.
  13. Page 522 #23, 30, 35-38. Also locate the vertex and focus on a graph of 2y = x2 - 8x + 19.
  14. Page 531 #5, 6, 33, 34, 39, 40.
  15. Hand in these three problems on Friday, Feb. 23.
    Convert the equations to standard form, locate the vertex, foci, points on major/minor axes, asymptotes as appropriate, and graph.
    1. x2 - 12x + 8y - 4 = 0
    2. x2 + 4y2 + 4x - 24y + 24 = 0
    3. 9x2 - 25y2 + 54x + 100y - 244 = 0
  16. Page 539 #49-62.
  17. Page 546 #1, 3, 5, 11, 13, 19, 25, 39, 43, 45.
  18. Page 551 #15, 18, 23, 24, 25, 42. Hand in #24, 42 on Friday, Mar. 2.
  19. Page 557 #27, 29, 31, 44, 57.
  20. Hand in the following problem on Tuesday, Mar. 6. A ball is struck at homeplate (x0 = 0) three feet above the ground (y0 = 3) with an initial speed of 150 feet per second. It hits a wall that is 300 feet away at a height of 50 feet. Determine the initial launch angle and the time when it hit the wall. Also plot the trajectory in (x, y)-coordinates and calculate the slope of its tangent line at the wall. Note there is more than one possible solution.
  21. Page 565 #5, 11, 23.
  22. Page 573 #8, 9, 24, 25, 31, 39.
  23. Page 581 #8, 14, 15, 20.
  24. Click here for review problems.
  25. Page 593 #47, 50, 59.
  26. Page 602 #7, 9, 17, 19, 23, 25, 33, 34.
  27. Hand in this problem on Thursday, Mar. 29. Use the definition for limits to prove
    .
  28. Page 609 #11-21 odds.
  29. Page 614 #11, 15, 19, 21, 23.
  30. Page 620 #3, 7, 11, 17, 21, 25.
  31. Click here for problems on L'Hopital's rule. Hand in these problems on Monday, Apr. 2.
  32. Page 629 #9, 13, 19, 25.
  33. Page 641 #17, 19, 21, 23, 27, 31, 43, 44.
  34. Page 651 #1, 5, 9, 11, 15, 17, 23, 25.
  35. Page 656 #1, 8, 9, 15, 25, 46-48.
  36. Page 662 #5, 17, 25, 27.
  37. Click here for problems on series. Hand in these problems on Thursday, Apr. 12.
  38. Page 686 #8, 9, 23, 28, 33, 38. Hand in #8, 28 on Tuesday, Apr. 17.
  39. Page 675 #18, 20, 24, 35, 39, 45.
  40. Page 680 #3, 5.
  41. Page 698 #5, 11, 13, 29, 31, 32.
  42. Click here for review problems.
  43. Page 710 #17, 19, 35.
  44. Page 720 #1, 7, 11, 15, 23, 27, 30.
  45. Page 730 #9, 11, 29, 43. Page 731 (Project 12.4 Work) #1, 2, 3.
  46. Page 739 #15, 21, 25, 33, 35. Page 740 (Project 112.5 Torque) #1, 2.
  47. Page 748 #1, 7, 11, 13, 15, 19, 21, 33, 34, 35, 44, 45.
  48. Page 758 #3, 5, 7, 23, 29, 35, 37.
  49. Review

Mathematica Supplements

  1. Differentiation and Integration
  2. Which Graph is Which?
  3. Normal Curve
  4. Riemann Sum
  5. Fundamental Theorem of Calculus
  6. Plotting Inverse TrigonometricFunctions
  7. Parametric Plotting of Functions
  8. Arc Length
  9. Surface Area
  10. Plotting in Polar Coordinates
  11. Integrals in Polar Coordinates
  12. Rotation of Axes
  13. Sequences and Series
  14. Power Series
  15. Taylor Series
  16. Vector Dot and Cross Products

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