MAC 2313, Calculus with Analytic Geometry III, Spring 2011

Course data
Course Title: Calculus with Analytic Geometry III
Catalog Number: MAC 2313, Section 0009
Class Number: 23365
Credit Hours: 4
Meeting times: Monday, Wednesday and Friday, 10:30 - 11:50 AM
Course Location: MAP 406
Professor: Michael Reid
Office: MAP 414
Office Hours: Monday 3-5, Wednesday 3-4, Friday 3-5, and also by appointment.
No appointment is needed during regular office hours.
Phone: x3-6462
E-mail: (please use text/plain format only)
Textbook: Calculus, 5th Edition, by James Stewart
Course Web page: http://www.math.ucf.edu/~reid/Teaching/Spring2011/mac2313.html
Prerequisites
MAC 2312 or equivalent. You should have a solid understanding of all the material covered in MAC 2311 and MAC 2312, as well as a strong background in high school algebra, geometry, trigonometry and precalculus.
Course description and goals
This course is the continuation of MAC 2312. We give a thorough treatment of vectors, multivariable calculus, partial derivatives, multiple integrals, chain rule, etc. I prefer to emphasize concepts, rather than opaque formulæ. By the end of the semester, everyone should have a solid working knowledge of multivariable calculus, partial derivatives, multiple and iterated integrals, and the fundamental theorems of multivariable calculus: Green's Theorem, Stokes' Theorem and the Divergence Theorem.
Topics to cover
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
Double integrals, triple integrals and applications
Surface area
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!
Grades
I prefer students to focus on learning, instead of worrying about grades. If you learn the material well, and demonstrate that on the exams, your grade will take care of itself.
Your grade will be based on your performance on four midterms of equal weight, and a cumulative final exam, which carries twice the weight of a midterm.
On the tests, your work will be graded for correctness of method, as well as correctness of your final answer.
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. By university policy, the NC grade is not available in this class.
Exams
Each in-class midterm will be announced at least a week before it is given. The final exam has now been officially scheduled for Monday, May 2nd at 10AM.
No notes, books, calculators or other electronic devices are permitted on the exams.
University policy allows for make-up tests under certain situations (such as officially recognized religious observance, participation in a University-sponsored sporting event, and the like). Outside of this policy, make-ups will not be given except in the case of documented emergencies. Such situations will be considered on an individual basis.
Homework
Suggested homework exercises from the textbook will be posted on the course webpage, but homework will not be collected or graded. These exercises should prepare you for the exams. On the tests, you will be expected to do the problems without referencing the textbook or your notes, so you are encouraged to practice the problems until you can do them under these conditions.
Suggested homework exercises are listed here.
Attendance
Students are expected to attend every lecture. You are responsible for knowing the contents of every lecture as well as important announcements.
Cell phones and other electronic devices must be turned off so that you can devote all of your concentration to the lecture. In general, students should be respectful of their classmates and the instructor (i.e. do not be a distraction).
Additional student resources
Besides attending class, reading the text, and doing the suggested 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!
Special Accommodations
Anyone who needs special accommodations for this class must let me know during the first week of the semester (by January 19th at the latest).
Information in this syllabus is subject to change. Any changes will be announced in class and/or posted on the course webpage.
Last updated: April 22, 2011