Time and Place: MWF 11:30-12:20 in HES 316
Professor: Igor E. Pritsker
Office: MSCS 524
Office Hours: MWF 10:30-11:30
Office Phone: 744-8220
E-mail: igor@math.okstate.edu
Web: http://www.math.okstate.edu/~igor/math4013/math4013_spring2008.html
Textbook: Vector Calculus, by J. E. Marsden and A. J. Tromba, W. H.
Freeman and Co, 5th Ed.
Grading: There will be three semester tests and the Final Exam. The break up of your course grade is as follows:
| Tests 1-3 | 60% (20% each) | |
| Quizzes | 10% | |
| Final Exam | 30% |
| A | 90-100 | |
| B | 80-89 | |
| C | 70-79 | |
| D | 60-69 | |
| F | 59 and lower |
Quizzes: Be prepared for short quizzes (1-2 problems, about 10 minutes).
Homework will be assigned on a daily basis (see the schedule) and may be collected periodically. It is required that you complete all homework.
Make-up Exams are given only in cases of serious illness or extreme emergency that prevents you from taking a test at the specified time. You have to contact me before the test and communicate all circumstances. Furthermore, you must appear in person, with supporting documents, to discuss the situation as soon as possible.
Technology: You will find that mathematical software is very useful for visualization and computations in this course. Any of the following packages is sufficient for our purposes: Maple, Mathematica or MATLAB.
| Chapter 1 | Chapter 3 | Chapter 5 | Chapter 7 |
| Chapter 2 | Chapter 4 | Chapter 6 | Chapter 8 |
| Test 1 | Test 2 | Test 3 | Final Exam |
University Syllabus Attachment: Contains drop deadlines and procedures, as well as many other important dates and university policies.
Catalog of Quadric Surfaces by Dr. Myers
Note: The homework problems below are to be assumed odd numbered, unless it is indicated otherwise.
| Week | Date | Sec | Page | Topic | Homework |
|---|---|---|---|---|---|
| 1 | M, Jan 7 | 1.1 | 1 | Vectors in 2 and 3 dimensional space | 5-9, 13-23, 24 |
| W, Jan 9 | 1.2 | 23 | The inner product, length and distance | 3-9, 15-21, 25 | |
| F, Jan 11 | 1.3 | 38 | Matrices, determinants and the cross product | 3-11, 15, 25-29 | |
| 2 | M, Jan 14 | 1.4 | 65 | Cylindrical and spherical coordinates | 1-9 |
| W, Jan 16 | 1.5 | 74 | n-Dimensional Euclidean space | 5-13 | |
| F, Jan 18 | 2.1 | 94 | The geometry of real-valued functions | 7-17, 23-27 | |
| 3 | M, Jan 21 | Martin Luther King Jr. Day | |||
| W, Jan 23 | 2.2 | 107 | Limits and continuity | 1, 5-17 | |
| F, Jan 25 | 2.3 | 127 | Differentiation | 3-17 | |
| 4 | M, Jan 28 | 2.4 | 141 | Introduction to paths | 5-9, 13-17 |
| W, Jan 30 | 2.5 | 150 | Properties of the derivative | 1-9, 13-15 | |
| F, Feb 1 | 2.6 | 163 | Gradients and directional derivatives | 3-5, 9-15 | |
| 5 | M, Feb 4 | Test 1 | |||
| W, Feb 6 | 3.1 | 182 | Iterated partial derivatives | 1-11 | |
| F, Feb 8 | 3.2 | 193 | Taylor's theorem | 1-5 | |
| 6 | M, Feb 11 | 3.3 | 203 | Extrema of real-valued functions | 1-9, 17, 29-33 | W, Feb 13 | 3.3 | 203 | Extrema of real-valued functions | 1-9, 17, 29-33 |
| F, Feb 15 | 3.4 | 225 | Constrained extrema and Lagrange multipliers | 1-13, 21 | |
| 7 | M, Feb 18 | 3.4 | 225 | Constrained extrema and Lagrange multipliers | 1-13, 21 |
| W, Feb 20 | 4.1 | 261 | Acceleration and Newton's second law | 1-7 | |
| F, Feb 22 | 4.2 | 274 | Arc length | 1-9 | |
| 8 | M, Feb 25 | 7.1 | 421 | The path integral | 1-7 |
| W, Feb 27 | 4.3 | 285 | Vector fields | 5-15 | |
| F, Feb 29 | 4.4 | 294 | Divergence and curl | 7-17, 23-25 | |
| 9 | M, Mar 3 | Test 2 | |||
| W, Mar 5 | 5.1 | 317 | Introduction | 1-3, 7-11 | |
| F, Mar 7 | 5.2 | 327 | The double integral over a rectangle | 1-7, 11 | |
| 10 | M, Mar 10 | 5.3 | 341 | The double integral over more general regions | 1-11 |
| W, Mar 12 | 5.4 | 349 | Changing the order of integration | 1-9 | |
| F, Mar 14 | 5.6 | 354 | The triple integral | 3-9, 13-17, 23-25 | |
| 11 | Mar 15-23 | Spring Break | |||
| 12 | M, Mar 24 | 6.1 | 369 | The geometry of maps from R^2 to R^2 | 1-9 |
| W, Mar 26 | 6.2 | 376 | The change of variables theorem | 1-5, 13-19, 23, 31 | |
| F, Mar 28 | 6.3 | 393 | Applications of double and triple integrals | 1-5, 9-13 | |
| 13 | M, Mar 31 | Test 3 | |||
| W, Apr 2 | 7.2 | 429 | Line integrals | 1-11, 15 | |
| F, Apr 4 | 7.3 | 451 | Parametrized surfaces | 1-11 | |
| 14 | M, Apr 7 | 7.4 | 461 | Area of a surface | 1-5, 11-15 |
| W, Apr 9 | 7.5 | 474 | Integrals of scalar functions over surfaces | 1-11 | |
| F, Apr 11 | 7.6 | 483 | Surface integrals of vector fields | 1-11 | |
| 15 | M, Apr 14 | 8.1 | 518 | Green's theorem | 3-13 |
| W, Apr 16 | 8.2 | 532 | Stokes' theorem | 3-11 | |
| F, Apr 18 | 8.3 | 550 | Conservative fields | 1-9, 13, 15 | |
| 16 | M, Apr 21 | 8.4 | 561 | Gauss' theorem | 1-9 |
| W, Apr 23 | Final Review | ||||
| F, Apr 25 | Final Review | ||||
| 17 | W, Apr 30 | Final Exam (HES 316, 10-11:50 a.m.) | |||