MAC 2313H, Calculus with Analytic Geometry III (Honors), Fall 2009

Course Title: Calculus with Analytic Geometry III (Honors)

Catalog Number: MAC 2313H, Section 0202

Class Number: 93263

Credit Hours: 4

Meeting times: Monday, Wednesday and Friday, 12:00 - 1:20 PM

Course Location: COMM 147

Professor: Michael Reid

Office: MAP 231C

Office Hours: Monday 5:00 - 6:30, Wednesday 5:00 - 6:30, Thursday 3:00 - 4:00, Friday 1:30 - 2:30, and also by appointment.

Phone: x3-6462

E-mail: reid@math.ucf.edu (please use text/plain format only)

Textbook: Calculus, 5th Edition, by James Stewart

Course Web page: http://www.math.ucf.edu/~reid/Teaching/Fall2009/mac2313h.html

Vectors in space

Dot products and cross products

Equations of lines and planes

Cylindrical and spherical coordinates

Vector-valued functions

Calculus of vector-valued functions

Unit tangents, normal vectors, binormal vectors and curvature

Functions of several variables

Limits, continuity and partial derivatives

Chain rule, tangent planes and directional derivatives

Maxima and minima

Lagrange multipliers

Double integrals, triple integrals and applications

Surface area

Jacobians and change of variables in multiple integrals

Vector fields and line integrals

Conservative vector fields

Green's Theorem

Curl and divergence

Surface Integrals

Stokes' Theorem

Divergence Theorem

This is a lot to cover, so we will move at a brisk pace. It is extremely important not to fall behind; it will be very difficult to catch up!

Homework: 15%

First Midterm: 15%

Second Midterm: 15%

Third Midterm: 15%

Final Exam: 35%

Best Exam: 5%

I expect to use standard gradelines, i.e. 90% for an A, 80% for a B, 70% for a C, 60% for a D. If appropriate, there may be a curve which would ease these cutoffs, but you should not count on that. Plus and minus grades will be used.

Homework is an important part of this class. Weekly homework will be assigned, collected and graded. You are expected to do all of it. Homework must be written neatly and stapled together. This typically means that you work out the problems on scratch paper, and then transcribe your solutions neatly on separate paper to turn in. Late homework will not be accepted. If you're behind schedule, complete as much as you can, and turn that in. (Of course you should finish the rest to bolster your understanding of that material.) I will drop your lowest homework score.

The expectation for homework is as follows: you should solve all the assigned problems completely and correctly. It's ok if this requires several attempts at some of them. When you're finished with the assignment, you should be able to do those types of problems without referencing your notes or the textbook. This is what you'll be required to do on the exams!

The homework assignments are listed here.

Students are expected to attend every lecture. You are responsible for knowing the contents of every lecture as well as important announcements.

Cell phones must be turned off. In general, students should be respectful of their classmates and the instructor (i.e. do not be a distraction).

Anyone who needs special accommodations for this class must let me know during the first week of the semester (by September 2nd at the very latest).