MATH 317 Section 202
Calculus IV: Vector Calculus
2014W Term 2


**** LATEST NEWS ****
  1. Assignment 10 on webwork is due on Tuesday, April 7th at 9 a.m.

  2. The TA has given you feedback on your ACJ (adaptive comparative judgment) assignment. In addition, here are his overall observations on how the class managed this assignment.

  3. FOR BONUS GRADES on your homework portion of the grade: A second ACJ assignment will open on Monday, March 23rd, and will be done on Peer Answer Comparison Tool (PACT). Login using your CWL. The assignment has two parts: first you upload your answer to a question by April 1st, and then you will have an opportunity until April 8th to compare pairs of answers from your classmates, answering the simple question "which is better?"

  4. In case you are interested, here is a website that discusses some of the subtleties about the curl of a vector field,

  5. I have booked room 103 in the Math Building for a final exam review session on Wednesday, April 15th from 1 to 3:30 p.m.


Course Information

Text: Multivariable Calculus 7th Edition by James Stewart.

Main MATH 317 Website maintained by Prof. Jim Bryan.

Course Topics:

  1. Vector valued functions of one variable (Chapter 13):
        Parameterized curves, velocity, acceleration, arc length.
         Includes curvature, normal and binormal vectors, tangential and normal components of acceleration.
  2. Vector valued functions of several variables (Chapter 16):
        vector fields, line integrals, conservative fields, fundamental theorem of line integrals,
         Green's theorem, gradient, curl, divergence,
         parameterized surfaces, suface area, surface integrals,
         Stoke's theorem, divergence theorem.

Instructor Information

Instructor: Mark Mac Lean
Email: maclean (domain: math.ubc.ca)
Office: MATH 113
Phone: 604-827-3038
Hours: By appointment. I am also happy to answer questions by email.





Evaluation

Your final mark in this course will be determined by the following breakdown:

  1. Final grade computation. It is given by which ever is greater,
    Homework/etc.*20% + Midterms*30% + FinalExam*50%
    OR
    FinalExam - 10.

    The second option is your safety net: even if you perform very badly on the midterms, you can still get a good grade in the class by doing well on the final.

  2. The final exam will be scheduled by the Registrar. Please look for the exam schedule later in the term. NOTE: Do NOT make travel plans before you see the final exam schedule. Under no circumstances will you be allowed to write an earlier exam to accommodate travel plans.

  3. Final grades will then be scaled to be commensurate with historical averages.

  4. X factor: at the end of the grading process, I may move a few grades up by one or possibly two points. These will be awarded based on some X factors: for example, class room participation or drastic improvement over the course of the semester.

  5. The two midterms, which are tentatively scheduled for Wednesday, February 4th and Wednesday, March 18th. There are no make-up midterms: if you miss a midterm, the weight of that midterm will be transferred to the final exam.

  6. There will be regular assignments on WebWork. In general, assignments will be due on Fridays.

  7. There will be several assignments aimed at pushing you to build a strong conceptual understanding of the course material. These will involve making use of an approach called adaptive comparative judgment. I will explain this in class when I give you the first such assignment.

  8. Missing the Final Exam: You will need to present your situation to the Dean's Office of your Faculty to be considered for a deferred exam. See the Calendar for detailed regulations. Your performance in a course up to the exam is taken into consideration in granting a deferred exam status (e.g. failing badly generally means you won't be granted a deferred exam). In Mathematics, generally students sit the next available exam for the course they are taking, which could be several months after the original exam was scheduled.


Online Course Material


Extra Problems

  • Here are some problems involving the Serret-Frenet equations for you to play with.




    Assignments

    There will be regular assignments, both written and on WebWork. Mathematics is a subject one learns by DOING problems, so please take these quizzes and assignments seriously.

    1. Due Wednesday, January 14th at the start of class: 13.1 #30, 40, 42, 48, 13.2 # 28, 34, 54
    2. Due Monday, January 26th at the start of class: 13.3 #16, 18, 22, 48, 50, 66
    3. Due Friday, January 30th at the start of class: 13.4 #16, 40, 42, 44, 46
    4. Due Wednesday, February 25th at the start of class: 16.1 #26, 29 -- 32, 16.2 #4, 8, 18, 20, 16.3 #4, 8, 12, 25, 26, 35.

    5. Due Wednesday, March 4th at the start of class: 16.4 #6, 7, 14, 18, 22, 27, 29.
    6. Due Wednesday, March 11th at the start of class: 16.5 #6, 8, 12, 18,, 26, 28, 30.

    7. Questions from section 16.6 for your midterm preparation. Not to be handed in.16.6 #13-18, 20, 22, 24, 42, 44, 50, 62.

    8. Due Friday, March 27th at the start of class: 16.7 #6, 8, 16, 18, 24, 26, 32.

    9. Due Wedneday, April 8th at the start of class: 16.8 #2, 4, 8, 10, 16, 14. 16.9 #6, 8, 10, 12, 14, 18, 24.


      Class Notes

    10. Notes for January 5
    11. Notes for January 7 with some notations made after class.
    12. Notes for January 9
    13. Notes for January 12
    14. Notes for January 14
    15. Notes for January 16 -- these are from Maxime.
    16. Notes for January 19
    17. Notes for January 21
    18. Notes for January 23 with some notations and additions made after class.
    19. Notes for January 26.
    20. Notes for January 28 with some added annotations.
    21. Notes for February 2.
    22. Notes for February 6 with some added annotations.
    23. Notes for February 11 with some added annotations.
    24. Notes for February 13.
    25. Notes for February 23.
    26. Notes for February 25.
    27. Notes for February 27 with some added annotations.
    28. Notes for March 2.
    29. Notes for March 4.
    30. Notes for March 6 by Maxime.
    31. Notes for March 9.
    32. Notes for March 11.
    33. Notes for March 13.
    34. Notes for March 16.
    35. Notes for March 20.
    36. Notes for March 23.
    37. Notes for March 25 and 27.
    38. Notes for March 27 notes on notation. Added after class..
    39. Notes for March 30.
    40. Notes for April 1.
    41. Notes for April 8. The last day of new material.

      Exams



      Page updated: 9 April 2015.
      Page maintained by Mark Mac Lean.