MATH V1202.003 & V1202.004: Calculus IV
  Spring 2015

Section 3: TR 11:40am - 12:55pm, Mathematics 312
Section 4: TR 1:10pm - 2:25pm, Mathematics 312


All important course announcements will appear in Courseworks.

Course Details

Instructor:  Michael Woodbury
Phone: x4-4988
Office: 427 Mathematics

Office Hours: Friday 9am-10:30am; Tuesday 2:30pm-4pm; or by appointment.

Teaching Assistants:
Undergrad TAs: Greyson Potter, Riaz Helfer
Grad TAs: Natasha Potashnik, Zhijie Huang

Text: James Stewart Calculus: Early Transcendentals, seventh edition, Brooks/Cole, 2008. More information about the textbook can be found on the math department's Calculus page

Course description: We will cover chapters 15 (Multiple Integrals) and 16 (Vector Calculus). The main topics are:

  1. multiple integrals (using rectangular coordinates)
  2. integrals using polar, cylindrical, and spherical coordinates
  3. vector fields
  4. line integrals
  5. gradients, curl, and divergence.
  6. Green's Theorem, Stoke's Theorem, Divergence Theorem

We will also cover topics from basic complex analysis. The required material will be presented in class. Additionally, here are some notes written by Prof. Herve Jacquet. This (together with the lectures) is the main reference for the section on complex numbers.
Complex Numbers
Complex Functions and the Cauchy Riemann Equations
Contour Integrals and Cauchy's Theorem

If you feel like you would benefit from additional reading material, here is an online book on complex analysis:
Complex Analysis by George Cain
It is pretty readable and has a number of good exercises for practice.

Prerequisites: All material covered in Calculus I-III (Stewart chapters 1-14, except those involving differential equations) will be assumed. In particular, knowing the theory of integration in one variable will be especially important.

Important Dates:

  1. January 20: First day of classes
  2. February 19: Midterm 1
  3. February 24: Drop date (most colleges)
  4. March 16-20: Spring Break
  5. March 26: Last Day to Pass/Fail
  6. April 2: Midterm 2 (This is the tentative date and is subject to change.)
  7. May 4: Last day of classes
  8. TBD: Final Exams (The projected schedule has section 4 at 1:10pm on Tuesday, May 12 and section 3 at 410 on Thursday, May 14.)

Advice: Previous experience suggests that students find Calculus IV much more challenging than Calculus I-III. Do everything you can to not fall behind. Here are some suggestions:

  1. Be an active learner. Watching, a TA or another student do math without doing work on your own will not be enough to be able to reproduce the work on exams.
  2. Ask questions in class, and utilize office hours if needed.
  3. Read the book. Besides having many worked out examples, the book provides explanations of how the formulas are derived. Understanding this material makes doing the problems much easier. Also, the ebook (available through webassign) has additional resources not available in the physical text. For example, there are links video presentations.
  4. Attend class. (Not only can you receive credit towards your final grade by participating in class everyday, but it will provide you the opportunity to discuss the material with your peers and better understand the concepts involved.
  5. Do the homework. Besides being graded, this is your best resource for learning the math. Keep in mind that the point of homework is not to get the right answer; rather, it is a learning tool. As such, don't cheat yourself by racing through the problems or leaving out justification of each step. Also, be sure to avoid relying on resources--such as a solution manual or a TA/tutor--which you won't have at your disposal in the exams. These resources, although valuable if used correctly, can give the false impression of understanding if abused.
  6. Do problems that aren't assigned.

Resources: Help is always available from the Help Room (Mathematics 406, 10am-5pm Mon-Fri) or me.
If there's something you don't understand, ASK. Besides going to the help room and/or coming to my office hours, you can ask questions (anonymously, if you wish) through Piazza.
Some information about free/cheap tutoring.

Daily Homework: Written homework will be assigned every day except, possibly, when there is a Midterm or a review session. Assigned problems can be found in the schedule below.

Web-based Homework: You are also responsible for WebAssign homework. This is an online homework system that will give you the instant feedback of knowing whether your answers is correct or not.

Exams: We will have 2 midterms, and one final

Participation: You will get credit for coming to class and being actively involved.

Grading: There will be two grading schemes: One that involves class participation, and one that does not. A decision must be made as to which scheme you prefer within the first two weeks of class.