MATH 323 Multivariable Calculus SS2010
ID: 001233 TIME: MTRF12:30 – 1:20 Room: Bridges 269
Instructor: Dr. Adam M. Goyt ()
Office: 375D MacLean
Website:
Phone: 218.477.2206
Office Hours: M - F 9:30-10:30 and 2:30 - 3:30 and by appointment
Textbook: Calculus,The Classic Edition by Swokowski
Calculators: You will be allowed to use a calculator on exams in this course. A TI-83 is recommended. You are not allowed to use any calculator able to do symbolic manipulation, or a laptop or palm computer. You should have a calculator that can at least handle trigonometric functions.
Prerequisites: MATH 262
Course Description: We will explore calculus methods for functions of more than one variable. We will cover parametric representations, three-dimensional coordinate systems, partial derivatives, extrema of multivariable functions, multiple integrals, vector calculus, Green’s Theorem and Stoke’s Theorem.
Course Goals: Upon completion of this course students will be able to do the following:
- Demonstrate applications of inductive and deductive reasoning.
- Evaluate complex relations using symbolic abstraction and generalization.
- Demonstrate problem solving using symbolic representation and manipulation.
Evaluation:
Homework: There will be 14 homework assignments worth 10 points each, you may drop two.
Exams: There will be 4 mid-term exams worth 100 points each.
Final Exam: The final exam will be part take home, part in class. The in class portion will be cumulative and will be worth 200 points. The final exam will take place on Thursday May 6, 2010 at 12:00 pm.
This amounts to 720 points for the class. Your grade will be determined using the following scale. This class will NOT be curved.
92% - 99% A83% - 86% B73% - 76% C63% - 66% D
90% - 91% A–80% - 82% B-70% - 72% C-60% - 62% D-
87% - 89% B+77% - 79% C+67% - 69% D+60% F
Attendance: Students are expected to attend all class meetings and are responsible for all of the material covered. Any changes in this syllabus or in the scheduling of exams, assignments etc. will be announced during class meetings. Students who miss lecture are responsible for obtaining the notes from a classmate. Unless a valid excuse is presented in advance, a missed exam will receive a score of 0 points. Only extreme situations with a documented excusewill allow a student to be excused from an exam. Commercial travel is not an excuse. No make-up quizzes will be given. No late homework will be accepted.Examine this syllabus carefully and plan around exams. The schedule for the final exam will be strictly adhered to.
Help: PLEASE feel free to ask me any questions about the material (see office hours above). You are also encouraged to visit the tutor lab in MacLean 383.
Disability Services: Students with disabilities who believe they may need an accommodation in this class are encouraged to contact Greg Toutges, Coordinator of Disability Services at 477-5859 (Voice) or 1-800-627-3529 (MRS/TTY), CMU 114 as soon as possible to ensure that accommodations are implemented in a timely fashion.
Academic Honesty: Study groups are encouraged. However all work not designated as group work must be substantially the student’s own work. It is a fundamental rule in academia that another’s work must be acknowledged. No student shall claim or submit the work of another as one’s own. The University’s policy concerning academic integrity is covered in the student handbook (
Tentative Schedule:
Week Beginning / Monday / Tuesday / Thursday / FridayJan 11 / 13.1 / 13.1/13.2 / 13.2
HW 1 due / 13.3
Jan 18 / NO CLASS / 13.3 / 13.4
HW 2 due / 13.4
Jan 25 / 14.1 / 14.2 / Review
HW 3 due / Exam 1
Feb 1 / 14.3 / 14.4 / 14.5
HW 4 due / 14.5
Feb 8 / 14.6 / 14.6 / 14.6/17.7/17.8
HW 5 due / 15.1
Feb 15 / 15.2 / 15.3 / Review
HW 6 due / Exam 2
Feb 22 / 16.1 / 16.2 / 16.3
HW 7 due / 16.4
Mar 1 / 16.5 / 16.5 / 16.6
HW 8 due / 16.7
Mar 8 / 16.8 / Review
HW 9 due / Exam 3 / 16.9
Mar 22 / 16.9 / 17.1 / 17.1/17.2
HW 10 due / 17.2
Mar 29 / 17.3 / 17.4 / 17.5
HW 11 due / NO CLASS
Apr 5 / NO CLASS / 17.5 / 17.6 / 17.7
Apr 12 / 17.8 / Review
HW 12 due / Exam 4 / 18.1
Apr 19 / 18.1 / NO CLASS / 18.2
HW 13 due / 18.2
Apr 26 / 18.3 / 18.4 / 18.5
HW 14 due / 18.6
May 3 / 18.7 / Review / Final Exam
Suggested Exercises:
Section / Exercises13.1 / 1-9 odd,15,25,29,31
13.2 / 1-13 odd, 21,23,29
13.3 / 1-11 odd, 15,17,21,27-33 odd,37-47 odd, 51-55 odd
13.4 / 1-7 odd, 11-19 odd, 20,23,25,27,35
14.1 / 1-35 odd, 43
14.2 / 1,3,7,9,13-31 odd, 35,37,39
14.3 / 1-29 odd, 35,36,37,39,40
14.4 / 1-25 odd, 30
14.5 / 1-57odd, 61,63,65
14.6 / 1-29 odd, 33-45 odd, 51-55 odd
15.1 / 1,5,7,11,13,15,21
15.2 / 1.5,9,11,17,19,21,27,29,31,33,43,45,49
15.3 / 1,5,9,13,15,21,23
16.1 / 1,3,7,9,11,15,17,19,23,27,29,33,37,38,43
16.2 / 1-7 odd, 11,15,25,27,29,35
16.3 / 1-15 odd, 19, 21,29,43,49,51,59,63,64
16.4 / 1,7,11,19,21
16.5 / 1-23odd, 27, 41
16.6 / 1-25 odd, 36
16.7 / 3,5,7,11,13,15,17,25,28
16.8 / 1-9 odd, 15,25,27,39,41
16.9 / 3-13 odd, 17
17.1 / 1-49 odd
17.2 / 1-9 odd, 13,17,19,21-27 odd, 31
17.3 / 1,5,7,9, 17-23 odd, 25,27,29
17.4 / 1,3,7,9,11
17.5 / 1-17 odd, 23,25,29,31,33
17.6 / 1,3,9,11,13,17,19,23,25
17.7 / 1,5,7,9,15-29odd, 31a,33,39
17.8 / 1,3,7,11,17,21,27,31,32,35,36,37,39
18.1 / 1-19odd, 23,24,27
18.2 / 1-21 odd, 22
18.3 / 1-15 odd, 21,27,28
18.4 / 1-17odd, 22,23
18.5 / 3,5,11,13,17,18
18.6 / 1-11 odd
18.7 / 1-7 odd 15,16,18