Time and Place: MWF 10:30-11:20 a.m. in MSCS 509
Professor: Igor E. Pritsker
Office: MSCS 519C
Office Hours: MWF 9:30-10:30 a.m.
Office Phone: 744-8220
E-mail: igor@math.okstate.edu
Web: http://www.math.okstate.edu/~igor/
Textbook: An Introduction to Analysis, by W. R. Wade,
Pearson Prentice Hall, 4th Ed.
Grading: We shall have the Midterm and the Final Exams. The break up of your course grade is as follows:
| Midterm Exam | 40% | |
| Homework | 20% | |
| Final Exam | 40% |
| A | 90-100 | |
| B | 80-89 | |
| C | 70-79 | |
| D | 60-69 | |
| F | 59 and lower |
Homework will be assigned by section (see the schedule), and will be collected one week after we finish a section. Please write down complete and rigorous solutions to all problems. You should prepare them ready for submission in separate sets. Remember that homework is an individual assignment, i.e., it must be done by you personally. It is allowed to discuss problems with other people on the preliminary stage, but submitted solutions must be yours and only yours.
Attendance is especially important in this class, hence mandatory. While it is not a part of your grade, regular attendance and active class participation will greatly simplify learning new material and developing your proof skills.
Missed work policy: A student shall be offered reasonable accommodation in the event that he or she misses a major assessment activity for a valid and documented reason. Examples of such reasons for making up exams are serious illness, family death, etc. Contact me immediately if you need to arrange for a make-up, and provide appropriate documentation.
University Syllabus Attachment: Contains drop deadlines and procedures, as well as many other important dates and university policies.
| Chapter 8 | Chapter 9 | Chapter 11 | Midterm Exam | Chapter 12 | Chapter 13 | Final Exam |
| Wk | Date | Sec | Page | Topic | Homework |
|---|---|---|---|---|---|
| 1 | M, Jan 9 | 8.1 | 267 | Algebraic structure | 1, 3, 4, 5, 8 |
| W, Jan 11 | 8.2 | 279 | Planes and linear transformations | 2, 4, 6, 11 | |
| F, Jan 13 | 8.3 | 288 | Topology of R^n | 1, 2, 3, 5 | |
| 2 | M, Jan 16 | Martin Luther King Jr. Day | |||
| W, Jan 18 | 8.3 | 288 | Topology of R^n | 6, 7, 8, 9 | |
| F, Jan 20 | 8.4 | 297 | Interior, closure, and boundary | 3, 5, 9, 10 | |
| 3 | M, Jan 23 | 9.1 | 303 | Limits of sequences | 2, 3, 4 |
| W, Jan 25 | 9.1 | 303 | Limits of sequences | 6, 7, 8 | |
| F, Jan 27 | 9.2 | 307 | Heine-Borel Theorem | 2, 4, 6 | |
| 4 | M, Jan 30 | 9.3 | 312 | Limits of functions | 2, 3, 5, 6 |
| W, Feb 1 | 9.4 | 321 | Continuous functions | 2, 3, 4 | |
| F, Feb 3 | 9.4 | 321 | Continuous functions | 8, 9, 10 | |
| 5 | M, Feb 6 | 11.1 | 383 | Partial derivatives and partial integrals | 2, 3, 4 |
| W, Feb 8 | 11.1 | 383 | Partial derivatives and partial integrals | 5, 6 | |
| F, Feb 10 | 11.2 | 394 | The definition of differentiability | 3, 5, 7, 8 | |
| 6 | M, Feb 13 | 11.3 | 403 | Derivatives, differentials and tangent planes | 3, 6 |
| W, Feb 15 | 11.4 | 412 | The Chain Rule | 2, 5, 11 | |
| F, Feb 17 | 11.5 | 416 | The Mean Value Theorem and Taylor's formula | 2, 4, 9 | |
| 7 | M, Feb 20 | 11.5 | 416 | The Mean Value Theorem and Taylor's formula | 5, 8 |
| W, Feb 22 | 11.6 | 424 | The Inverse Function Theorem | 1, 6 | |
| F, Feb 24 | 11.6 | 424 | The Inverse Function Theorem | 3, 4 | |
| 8 | M, Feb 27 | 11.6 | 424 | The Inverse Function Theorem | 9, 10 |
| W, Feb 29 | 11.7 | 435 | Optimization | 4, 5 | |
| F, Mar 2 | 11.7 | 435 | Optimization | 3, 9 | |
| 9 | M, Mar 5 | 12.1 | 449 | Jordan regions | 2, 4 |
| W, Mar 7 | 12.1 | 449 | Jordan regions | 5, 6 | |
| F, Mar 9 | Midterm Exam: 10:30 a.m. - 12:30 p.m. | ||||
| 10 | M, Mar 12 | 12.2 | 462 | Riemann integration on Jordan regions | 1, 3 |
| W, Mar 14 | 12.2 | 462 | Riemann integration on Jordan regions | 4, 5 | |
| F, Mar 16 | 12.2 | 462 | Riemann integration on Jordan regions | 6, 9 | |
| 11 | M, Mar 19 | Spring Break | |||
| W, Mar 21 | Spring Break | ||||
| F, Mar 23 | Spring Break | ||||
| 12 | M, Mar 26 | 12.3 | 476 | Iterated integrals | 4, 5(a), 6 |
| W, Mar 28 | 12.4 | 490 | Change of variables | 3, 4 | |
| F, Mar 30 | 12.4 | 490 | Change of variables | 6, 9 | |
| 13 | M, Apr 2 | 12.4 | 490 | Change of variables | 6, 9 |
| W, Apr 4 | 13.1 | 523 | Curves | 5, 6, 7(a) | |
| F, Apr 6 | 13.2 | 536 | Oriented curves | 3, 5, 7(a)-(b) | |
| 14 | M, Apr 9 | 13.3 | 544 | Surfaces | 3, 4, 8 |
| W, Apr 11 | 13.4 | 555 | Oriented surfaces | 1, 2, 4(a) | |
| F, Apr 13 | 13.5 | 565 | Theorems of Green and Gauss | 1, 5 | |
| 15 | M, Apr 16 | 13.5 | 565 | Theorems of Green and Gauss | 7, 10(d)-(e) |
| W, Apr 18 | 13.5 | 565 | Theorems of Green and Gauss | 9, 10(b)-(c) | |
| F, Apr 20 | 13.6 | 575 | Stokes's theorem | 1, 3, 5 | |
| 16 | M, Apr 23 | 13.6 | 575 | Stokes's theorem | 6, 8 |
| W, Apr 25 | 13.6 | 575 | Stokes's theorem | 9, 10 | |
| F, Apr 27 | Final Review | ||||
| 17 | F, May 4 | Final Exam (MSCS 509, 10:00-11:50 a.m.) | |||