MATH 2210-1 Calculus III. Fall 2007

Course information

  • Lecturer: Dan Ciubotaru; room LCB 106; e-mail: ciubo@math.utah.edu
  • Lectures: MWF 9:40-10:30 in room LCB 219.   Syllabus.
  • Grader: Miles Fore
  • Textbook: Varberg, Purcell, Rigdon, Calculus with Differential Equations
  • Final Exam: Tuesday, December 11, 8-10 am.
  • Office Hours: (in LCB 106) Tuesday 1-2 and Wednesday 11-12. There is also the Math Tutoring Center in LCB.
  • Problem solving session: Wednesdays 3-4 in LCB 219.

    Exams (tentative schedule)

    The exams are closed books, closed notes, no calculators. However, you are allowed one piece of paper (size A4) with anything on it.
  • Quiz 1: September 17, Chapter 11. Here is Practice Test 1 and solutions. Actual test with solutions: pdf.
  • Quiz 2: (Change of date!) October 24, 12.1-12.8. Here is Practice Test 2 and solutions. The following textbook exercises would also make good (typical) test problems: p.673: 9, 15, 20, 24, page 634: 22. Solutions to the even numbered problems. Actual test with solutions: pdf.
  • Quiz 3: November 16, Chapter 13.1-13.8. , topics with solutions to the even numbered problems. Here is Practice Test 3 and solutions. The actual test with solutions: pdf.
  • Final Exam: December 11, 8-10am. Chapters 11-14.4. The list with the main topics is here. Here is the Practice Final and solutions. There is an error in the solution for problem 3; here is the corrected (hopefully!) version. The actual test with solutions: pdf.

    • Grading scheme

    (revised 08/31/07) The lowest score on the quizzes will be dropped. The lowest score on the homework sets will be dropped as well. (A missed quiz or homework get automatically the score 0. Make up quizzes are only given when the reason is officially approved by the university.) The two remaining quizzes will count for 2x150 points, the final for 300 points, and the total homework score will be 200 points.

    Homework

    You should include in your solutions the details of the calculations and reasoning; it is not sufficient to turn in just the final answers. The homework is due at the beginning of class. Late homeworks are not allowed, except for a medical or some other university approved reason.

  • Problem Set 1, due August 29 (Wednesday): Sec. 11.1: ex.30/p.560, ex.40/p.560; Sec. 11.2: ex.16/p.565, ex.35/p.566; Sec. 11.3: ex.8/p.572, ex.70/p.573, ex.74/p.573.

  • Problem Set 2, due September 7 (Friday): Sec 11.4: ex.12/p.578, ex.18/p.578, ex.30/p.578; Sec 11.5: ex.20/p.587, ex.44/p.587, Sec 11.6: ex.24/p.592, ex.31/p.593. A note about the distance from a point to a line.

  • Problem Set 3, due September 14 (Friday): Sec 11.7: ex.14/p/601, ex.30/p.601, ex.50/p.602, ex.71/p.603; Sec 11.8: ex.24/p/608, ex.28/p.608, ex.37/p.608; Sec:11.9: ex.18/p.612, ex.20/p.612, ex.28/p.612, ex.32/p.613.

  • Problem Set 4, due September 26 (Wednesday): Sec 12.1: ex.5/p.623, ex.13/p.623, ex.16/p.623, ex.20/p.623; Sec.12.2: ex.17/p.628, ex.20/p.628, ex.25/p.628, ex.30/p.628, ex.33/p.628.

  • Problem Set 5, due October 3 (Wednesday): Sec 12.3: page 634: ex.5, 8, 15, 24, 30, 33, 37; Sec 12.4: page 641: ex. 12, 13, 19.

  • Problem Set 6, due October 17 (Wednesday): Sec 12.5: page 646: ex. 7, 10, 13, 15, 25, 28. Sec 12.6: page 651: ex. 3, 8, 19, 21. Sec 12.7: page 656 ex.4, page 657 ex.15. Two pictures for lectures 10/15 and 10/17: graphs of the surface for which we computed extreme points, and an illustration of Taylor polynomial approximation for sin(x).

  • Problem Set 7, due October 26 (Friday): Sec 12.8: page 664: ex. 3, 14, 20. Sec 12.9: page 671: ex. 3, 9, 10.

  • Problem Set 8, due November 7 (Wednesday): Sec 13.1: page 679: ex. 11. Sec 13.2: page 683-684: ex. 9, 12, 19, 22, 40. Sec 13.3: page 689: ex. 4, 11, 18, 19, 22, 25. Sec 13.4: page 694-695: ex. 7, 20, 23, 28.

  • Problem Set 9, due November 16 (Friday): Sec 13.5: 4, 7, 13. Sec 13.6: 7, 8, 9. Sec. 13.7: 5, 19, 20, 25. Sec. 13.8: 4, 7, 15.

  • Problem Set 10, due December 7 (Friday): Sec 14.1: 3, 13, 21, 25. Sec 14.2: 5, 9, 15, 19. Sec 14.3: 7, 13, 17. Sec 14.4: 3, 7, 19, 27.