MAC 2312H, Calculus with Analytic Geometry II (Honors), Spring 2008

Course Title: Calculus with Analytic Geometry II (Honors)

Catalog Number: MAC 2312H, Section 0207

Class Number: 13308

Credit Hours: 4

Meeting times: Monday Wednesday, 4:30 - 6:20

Course Location: BHC 129

Professor: Michael Reid

Office: MAP 231C

Office Hours: Monday 6:30 - 7:30, Tuesday 3 - 4, Wednesday 6:30 - 7:30, 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/Spring2008/mac2312h.html

Logarithmic and exponential functions

Inverse functions, inverse trigonometric functions

Indeterminate forms and L'Hôpital's rule

Techniques of integration:

Integration by parts

Integrals of trigonometric functions, trigonometric substitution

Partial fractions

Improper integrals

Arclength, areas of surfaces of revolution

Parametric curves, tangents, areas, arclength, surface area

Polar coordinates, arclength, area

Conic sections

Sequences and series

Integral test, comparison tests

Alternating series

Absolute convergence

Ratio and root tests

Power series

Taylor and Maclaurin series

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 January 14th at the very latest).