MAT 460 | VECTOR CALCULUS | SPRING 2012 |
*Important Note: All items on this syllabus are subject to change.
Any in-class announcement, verbal or written, is considered official addendum to this syllabus.
Instructor: Dr. Sergey Nikitin | Office: PSA 436 |
Phone: 480-965-0466 (please contact me by email rather than the phone whenever possible) | Office Hours: Th. 2:00-2:45 PM (by appointment) |
E-Mail: nikitin@asu.edu | Prerequisites: MAT 272, MAT 267 or equivalent. |
Grading: The grade will be computed from the Final exam (30%), 3 Midterm Tests (20% each), and Labs/Work in class/HW (10%).
Grading Scale:
A-, A, A+: 90-92.9, 93-100%, > 100% ; B-, B, B+: 80-82.9, 83-86.9, 87-89.9% ;
C, C+: 70-75.9, 76-79.9%; D 60%–69.9%; E: 59.9% or less
Work in class: Extra credit can be earned by solving problems in class.
Homework: Homework problems will be assigned in class.
Exams: Two tests will be given during the semester. The best possible preparation for the exams is regular attendance and completion of assigned labs and homework. All exams will be given in testing center (Testing Center – PSA 21) on the dates indicated on the schedule at the end of this syllabus. Make sure you check Testing Center hours. The Testing Center will not allow late entry. Arrival before the door closes allows the student an hour and a half to complete the test. In order to be admitted to the testing center each student must have a valid ASU "Sun Card". Your calculator program memory may be randomly viewed during any exam and will be cleared if anything suspicious is written therein.
Course Policies:
•Students are responsible for assigned material whether or not it is covered in class. Students are responsible for material covered in class whether or not it is in the text. Working regularly on assigned problems and attending class is essential to survive. Expect to spend at least 6-10 hours weekly on homework/labs. You are expected to read the text, preferably before the material is covered in class.
• Make-up exams are at the discretion of the instructor and only in case of documented emergency. In any case, no make-up exams will be given unless the student has notified the instructor before the test is given. Messages may be left at the main office (965-3951) or through email (recommended).
Cellular phones and pagers must be turned off during class. No texting, no ipods/ipads/laptops, etc.
Arriving late to class will not be tolerated.
Academic Integrity: ASU expects and requires all its students to act with honesty and integrity, and respect the rights of others in carrying out all academic assignments. For more information on academic integrity, including the policy and appeal procedures, please visit http://provost.asu.edu/academicintegrity
Final Exam: The final exam is comprehensive and will be administered in class.
Final Exam make up policies: The final exam schedule listed in the Schedule of Classes (http://students.asu.edu/final-exam-schedule#fall) will be strictly followed. Except to resolve those situations described below, no changes may be made in this schedule without prior approval of the Dean of the college in which the course is offered. Under this schedule, if a conflict occurs, or a student has more than three exams on one day, the instructors may be consulted about an individual schedule adjustment. If necessary, the matter may be pursed further with the appropriate dean(s). This procedure applies to conflicts among any combination of Downtown Phoenix campus, Tempe campus, Polytechnic campus, West campus, and/or off campus class. Make-up exams will NOT be given for reasons of a non-refundable airline tickets, vacation plans, work schedules, weddings, family reunions, and other such activities. Students should consult the final exam schedule before making end-of-semester travel plans.
TENTATIVE SCHEDULE | |||
Week | Dates | Topics | Comments |
1 | 1/5, 1/10 | Euclidean space: vectors, inner product, cross product, area, volume |
|
2 | 1/12 | Function of several variables,the implicit value theorem, Taylor's theorem. |
|
3 | 1/17 | Partial derivatives: gradient, curl, divergence, extrema, Lagrange multipliers | |
4 | 1/19 | Vector valued functions: curves, vector fields |
|
5 | 1/24, 1/26 | Line Integrals | TEST 1: 1/25 |
6 | 1/31, 2/2 | Work, circulation, arc length |
|
7 | 2/7, 2/9 | Double integrals. Fubini's theorem | |
8 | 2/14, 2/16 | Green's theorem. |
|
9 | 2/21, 2/23 | Surface integrals. | TEST 2: (2/23) |
10 | 2/28, 3/1 | Flux and surface area |
|
11 | 3/6,3/8 | Triple integrals. Gauss' theorem. | |
12 | 3/13, 3/16 | Stokes' theorem. | |
13 | 3/27, 3/29 | Conservative fields, potential functions |
|
14 | 4/3, 4/ 5 | Harmonic functions. |
|
15 | 4/10,4/12 | Differential forms. | TEST 3: (4/11) |
16 | 4/17,4/19 | Integral of differential form |
|
17 | 4/24 | Review For Final Exam | http://students.asu.edu/final-exam-schedule |