Calculus of several variables. Vectors, partial and directional derivatives, space curves, gradients, maxima and minima, linear and differentiable transformations, vector fields, line integrals, multidimensional Riemann integrals, and applications in physics and geometry are considered. Prerequisite: Mathematics 102.
Objectives of the course
- demonstrate the ability to analyze and solve mathematical exercises in multivariable calculus with a style and precision appropriate to the second-year level of university;
- appreciate the enormous influence and contributions of multivariable calculus to the development of the natural and social sciences over the last 200 years;
- demonstrate a modest familiarity with the applications of a computer algebra system to solving problems and displaying results in the multivariable calculus.
Calculus: Multivariable, Fifth Edition,
by McCallum, Hughes-Hallett, Gleason, et al., John Wiley & Sons, Inc., ISBN: 978-0-470-13158-9, 2009 (Required)
Course Notes and Related Materials
Schedule for Spring 2012
- Math 207 MTTh Sprng 2012 (pdf)
- MIT OpenCourseWare hosts streaming video lectures supporting Denis Auroux's MIT course 18.02 Multivariable Calculus, Fall 2007. Denis Auroux's video lectures can also be downloaded for free from Apple's iTunes U site. Launch iTunes on your computer and navigate to iTunes Store:iTunes U:MIT:Mathematics:MIT 18.02 - Video. There are 35 lecture videos for this semester-long course. Each one runs for about 45 to 50 minutes and can be viewed at your convenience on your computer or iPod. Lecture notes, readings, problem sets, and sample exams to accompany this course are also available on the MIT site.
- Course materials by Jenny Baglivo of Boston College supporting MT202 Multivariable Calculus include attractive course notes covering much of the material in our own course.
Office: Woods Laboratories 120
Location and Time
Monday, 13:00 - 14:15 pm
Tuesday, Thursday, 11:00 am - 12:15 pm
Woods Laboratories 121
Sewanee's tradition of cordial and constructive student-faculty relationships is one of its great strengths, and I am very happy to support that tradition. Official office hours for this course are as follows:
Tuesdays, 3:30 - 4:30 pm
Wednesdays, 3:30 - 4:30 pm
Woods Laboratories 120
If you would like to talk with me in addition to the interactions generated during those hours, please make an appointment to see me in my office (WL120), either when you see me in class or in the hallways or in my office, or by email (firstname.lastname@example.org), or by voice mail message (x1333).
Here is a link to the university's final exam schedule.
Math 207 (TTh, 11:00-12:15 class) -- Saturday, May 5, 9-11 am
Woods Laboratories 121
Tutors are available every night, Sunday through Thursday, from 7 to 9 pm in ... (venue will be announced soon) ... and it's free!
Homework is due on Thursdays.
- 4 tests @ 20 pts = 80 pts
- homework, classwork 20 pts
- final examination 30 pts
The Honor Code applies to all examinations and written work produced in this course. Plagiarism is copying or imitating the language and thoughts of others, whatever the medium (written papers or computer programs). All work on the examinations must be done individually.
Attendance is required and is an important factor in doing well in the class. All assignments must be completed, and the student is responsible for making up any work missed due to absence. Late work will be accepted ONLY if appropriate arrangements have been made with the instructor PRIOR to the due date. The Dean's Office may be notified after two absences.