MULTIVARIABLE CALCULUS
Fall 2009
Instructor: David Swinarski
Quick links:
Homework Recommended problems Computer work
The final exam is scheduled for Monday, December 14, 8am-11am in our usual classroom, 304 Boyd. It is cumulative and will be 40% Ch. 14 material and 60% from anywhere. Here is a study guide for the Ch. 14 material. You will want to look back at the previous study guides as well. Also, my final exam from last spring is posted below and in eLC. Solutions for the old final are available in eLC. We will have a review session Wednesday, December 9 from 3:30-5 in Room 322 Boyd.
Older announcements: Solutions to Test 3
Test 3 has been scheduled for Friday, November 13. It will cover Chapter 13. Here is a study guide. My third test from last year will be relevant; here's Old Test 3 and the solutions. We will have a review session on Tuesday, November 10 at 7pm in room 322 Boyd.
Solutions to the second test
Solutions to the first test
Example of how to do double integrals in Sage
Instructor's contact information
Office: 436 Boyd Graduate Studies
Scheduled office hours: 30 min. before class, 1 hour after class, and Mondays 4:30-5:30. Also, we can make an appointment for another time if we need to.
Cell phone: (917) 733-3016
e-mail: davids@math.uga.edu
Files
Sheet of formulas to memorize for tests and quizzes
Time and place
MWF 9:05-9:55pm, 304 Boyd Graduate Center
Class starts Monday, August 17 and goes to Tuesday, December 8
with the following exceptions:
no class Monday, Sep. 7 (Labor Day); no class Friday, Oct. 30 (fall break); no class the week of Nov. 23-27 (Thanksgiving week); one additional class on Tuesday, Dec. 8.
Textbook
University Calculus,
by Hass, Weir, and Thomas. ISBN 0-321-35014-6.
Some other excellent calculus textbooks include the textbooks by James Stewart, the textbook by Tom Apostol, and the textbook by Ted Shifrin. Stewart's book is written at roughly the same level as Hass, Weir, and Thomas, though you may find some different examples worked out. Apostol's book and Shifrin's book have more theory, and combine linear algebra with multivariable calculus. If you have taken linear algebra prior to 2500, or if you are thinking about being a math major and want to immerse yourself in more theory, I encourage you to take a look at their books.
Course content: Topics
This course covers multivariable calculus. Roughly, we will cover Chapters 10-14 of the textbook.
Here is a list of some topics we will cover:
Ch. 10: geometry in three dimensions; vectors, dot products, cross products, and their applications
Ch. 11: parametrized curves in three dimensional space, arclength, projectile motion
Ch. 12: surfaces in three dimensional space; partial derivatives; tangent planes to surfaces; optimization, optimization with boundary, optimization with constraints
Ch. 13: multiple integrals, applications to finding volume, mass, centroids
Ch. 14: line integrals; surface integrals; applications; vector fields; circulation and flux; applications; integral interchange theorems (Green's Theorem, Stokes' Theorem, Divergence Theorem)
Prerequisites
You must have a solid grasp of high school math and calculus as covered by MATH 2250 and MATH 2260. The pace of this course is extremely swift and does not permit much review during lectures.
Grading
Graded work will include homework, quizzes, three in-class exams, and a final exam. The final grade will be calculated using the following weights: homework and quizzes 14%; in-class exams 19% each; final exam 29%. Percentages of at least 90, 80, 70, 60 guarantee grades of at least A-, B-, C-, D respectively. I reserve the prerogative to curve upward, and to take individual circumstances into account when assigning final grades.
Graded homework
I will assign two homework problems at the end of every lecture. They will be due before the next lecture. Your graded work will be returned to you at the following lecture. No late work will be accepted. You can miss up to two assignments per exam with no penalty.
Homework assignments will be posted here and in eLearning Commons.
I believe that this amount of homework will NOT give you enough practice to prepare you for the exams. Thus, you should also work through the recommended problems on your own.
In math there is no substitute for individual concentration. You may work together on homework. But beware copying too much from your classmates; this can be detrimental to exam preparation.
Recommended problems
Recommended problems are posted here.
Computer work
You will be required to use advanced computer software a few times in this course (roughly once per chapter) for graphing 3-dimensional objects and for some multiple integrals. I advocate a package called Sage, which is free and open source, and can be accessed over the internet (you don't even need to install it on your own computer). Alternatively, you may use Mathematica or Maple. More details will be announced when we get to the relevant problems.
Quizzes
I may give quizzes at any time during the semester. I may announce a quiz in advance, or it may be a surprise. Anyone not in attendance with an unexcused absence will simply miss out on these points.
In-class exams
Tentative dates for the in-class exams will be announced early in the term. Roughly, they will fall at monthly intervals. Solutions to exams will be posted here afterward.
Here are the tests from the last time I taught the course. I'm covering the material in a different order this time, so you should understand that these are old tests, not practice tests. You may see material on them that is not going to be on your test. There may be material on your test that does not appear on these.
Old Test 1
Old Test 2
Old Test 3
Old Final
Final exam
The final exam will be cumulative, but may slightly emphasize material covered between the third in-class exam and the last day of class. The final exam is scheduled by the university; right now it is scheduled for Monday, December 14, 8-11AM. This could change.
Missed work
In general, late work, missed quizzes, and missed exams will count as zero points. If you miss (or are going to miss) a deadline or an exam for a valid reason, like a medical or family emergency, please contact me as soon as possible (even beforehand) so that we can discuss extending a deadline, excusing you from the exam, or making up the exam.
Students with disabilities and health issues
If you have a disability or health issue which you believe merits accommodation, please see me as soon as possible to discuss it. Come to office hours or make an appointment.
Attendance
It is your responsibility to know what happens in class. The best way to fulfill this obligation is to come to every class meeting unless you are too ill to attend. It is important that you are present and attentive at every class meeting.
The official attendance policy of the university states: Students are expected to attend classes regularly. A student who incurs an excessive number of absences may be withdrawn from a class at the discretion of the professor http://www.bulletin.uga.edu/Bulletin_Files/acad/general_Link.html . We interpret "excessive" to mean four or more unexcused absences.
Honesty
As a University of Georgia student, you have agreed to abide by the University's academic honesty policy, "A Culture of Honesty," and the Student Honor Code. All academic work must meet the standards described in "A Culture of Honesty" found at: www.uga.edu/honesty. Lack of knowledge of the academic honesty policy is not a reasonable explanation for a violation. Questions related to course assignments and the academic honesty policy should be directed to the instructor.
Calculators and computers
Use of calculators and/or computers is permitted (sometimes necessary) when doing homework problems. However, they will not be allowed on exams, so I urge you to work without them as much as possible in preparation for the exams.
Help and tutoring
A great deal of help is available.
My office hours should be your first stop. You can also make an appointment to meet with me almost anytime.
The mathematics study hall provides free math tutoring and is open Monday--Thursday from 3:30-5:30pm. For this course, you should go to in 322 Boyd Graduate Studies Bldg.
Information on tutoring at UGA can be found at http://www.math.uga.edu/undergraduate/student_services.html and also by following the links found at http://www.uga.edu/dae . It appears that both free tutoring services and paid private tutoring services are available.
Mandatory Disclaimer
The course syllabus is a general plan for the course; deviations announced to the class by the instructor may be necessary.