MATH V1201.008: Calculus III
  Spring 2013

MW 6:10pm - 7:25pm, Mathematics 203

• Announcements
• Course Details
• Schedule of Lectures and Homeworks

Announcements

All announcements will appear in courseworks.

(3/5/2013) WebAssign is highly recommended.

Course Syllabus

Instructor:  Michael Woodbury (x4-4988, 427 Mathematics, woodbury@math.columbia.edu)

Office Hours: Wed:8:30am-10am, Fri:12:30-1:30, By appointment

Teaching Assistants: TBD

Text: James Stewart Calculus: Early Transcendentals + WebAssign, seventh edition, Brooks/Cole, 2012.

Course description: We will cover chapters 13 (Vector Functions) and 14 (Partial Derivatives). Material from Calculus I and Chapter 12 (Vectors and Geometry of Space) will be assumed. The main topics of Chapter 12 (and some earlier chapters):

1. vectors (using rectangular coordinates)
2. dot and cross products
3. equations of lines and planes
4. conic sections and quadric surfaces

The main topics of Chapters 13 and 14:

1. parametric equations
2. derivatives and integrals of vector equations
3. arclength, curvature
4. velocity and acceleration in space
5. differential calculus of functions of several variables
6. optimization

Prerequisites: All material covered in Calculus I (Stewart chapters 1-6) will be assumed.

Important Dates:

1. March 28: Last day to Pass/Fail (for most schools)
2. May 6: Last day of classes
3. Final Exam (TBD)

1. Be an active learner. Watching me or a TA/tutor do math without doing work on your own will not be enough to be able to reproduce the work yourself on quizzes or exams.
2. Ask questions in class, and utilize office hours if needed.
3. Read the book. Look at the book before class to get an idea of the material we are going to cover, then reread it more carefully after class.
4. Attend class. (This is a good way to get another perspective on the material and a way to see what is emphasized in the course. Also, it is possible that not everything we cover will be from the book.)
5. Do the homework. Besides being graded, this is your best resource for learning the math. Also, 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, avoid using solutions manuals or looking up answers online; doing this gives a (very) false impression of understanding.
6. Do problems that aren't assigned.

Resources: Help is always available from the Help Room (Mathematics 406, 10am-5pm Mon-Thur), me, or the TA.
If there's something you don't understand, ASK.

Homework: A written and an online based homework (using WebAssign) will be assigned every week except when there is a Midterm.

• Written homework will be collected on TBA. It must be handed in directly to me or dropped in the dropbox before I arrive in the morning. Accordingly, I recommend aiming to have it complete before class on TBA. (Also, be aware that the math building will be locked in the evenings....)
• Late homework will not be accepted.
• You are welcome to collaborate as long as the work you hand in is your own. This means you may discuss the problems with others, but copying is cheating, hence absolutely unacceptable.
• For all written work, solve the problems in an organized fashion, with clear explanations. The grader can't/won't read your mind. (This advice also holds for exams.)
• About 10% of your homework grade will be based on neatness. This means: do not turn in pages with frayed edges (i.e. from a spiral bound notebook); staple neatly; your work must be legible and well organized.
• Knowing how to solve the problems like those which are assigned will be to your benefit when taking exams, but I do not guarantee that every exam problem will be just like a homework problem.

Exams: We will have a midterm and the final exam.

• See schedule below for dates. Note that these dates are tentative and may change.
• The final exam will be TBD. All exams will be given in class.
• Calculators are NOT allowed on exams.
• There will be no make-up exams without a note from a doctor or a dean.
• Let me know immediately if there's going to be a conflict

Grading: The grading scheme is tentatively as follows:

• Grading Scheme 1: Written Homework: 15%; Online Homework: 15%; Midterm: 30% Final: 40%
• Grading Scheme 2: Written Homework: 20%; Midterm: 35%; Final: 45%

The written homework score will be calculated based on the 6 best scores (lowest score dropped.) Same for WebAssign grade. I will compute your grade based on both Scheme 1 and Scheme 2. You will be credited for whichever is higher.

Class Schedule and Homework Assignments

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