MAC 2312H, Calculus with Analytic Geometry II (Honors), Fall 2003


Monday Wednesday Thursday Friday, 1:30 - 2:20, MAP 121


Professor: Michael Reid
Office: MAP 106
Office Hours: Monday and Wednesday 4:45-6, Thursday and Friday 2:20 -3:35
Phone: 823-6462
E-mail: reid@math.ucf.edu use text format instead of html format for e-mail
Textbook: Calculus, 4th Edition, by James Stewart
Course Web page: http://www.math.ucf.edu/~reid/Teaching/Fall2003/mac2312h.html


Grading:
Homework: 15%
First Midterm: 20%
Second Midterm: 20%
Final Exam: 40%
Best Exam: 5%


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


Homework policy:
Homework is an important part of this class. In order to learn the material well, it is imperative to do all of it.
Homework must be written neatly and stapled together. Late homework will not be accepted. I will drop your lowest homework score.

The homework assignments are listed here.


Additional student resources:
Besides attending class, reading the text, and doing the assigned homework problems, students can also attend my office hours for help, can do additional problems from the book, and also attend the Math Lab (in MAP 113). Please make use of all available resources!


Topics to cover:
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
Direction fields
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 very brisk pace. It is extremely important not to fall behind ... it will be nearly impossible to catch up!


Last updated: August 29, 2003