A few words about the final exam. It will be take-home and there will be six problems on it. I am planning to assign it on the last day of class, December 8 and give you about a week to do it. If this date doesn't work for you, please let me know ASAP.
Contrary to what I may have said, we will have one more furlough day this semester: November 5 (Thursday). There will be no class that day. This is the day I will assign (take-home) Midterm 2, so you will at least get some extra time to do it.
And lastly, I will have extra office hours next Wednesday, October 28, from 12 to 1 PM.
My plan is to summarize and finish the topology part of the course (i.e., the notions of connectedness and compactness of subsets of Euclidean space) this week. I will not talk about general topological and metric spaces, although I encourage you to read about them in Fleming.
In case you thought topology is just an abstract branch of mathematics with no applications, check out this aricle. In fact, topology has many applications to diverse fields as physics, robotics, chemistry, and many others. (Though as it always goes, topology was originally invented/discovered to solve "internal", or "pure", mathematical problems.)
Tomorrow, September 8 (due to a specialist exam I'm giving), my office hours will be from 1:30 to 2:30. Sorry for the inconvenience.
For grading the homework I will use the rewrite system. This means that after I grade your homework, you will be allowed to revise and rewrite it based on my comments and suggestions. The revised homework is always due the first class session after you receive your homework back. The revised assignment will then be regraded and the score you receive will be the score I will use for your final grade. However, there is one basic rule: you have to try to solve every assigned problem the first time around (which means you have to write down your attempt at a solution), otherwise you will not be allowed to do a rewrite of that problem.
And last but not least, Homework 1 has been posted and is due on Tuesday, September 1. In the future, homework will usually be due on Thursdays.
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Wendell Fleming: Functions of several variables, Springer UTM, 1987, second edition |
We will study the differential and integral calculus of functions of several variables, both vector- and real-valued. The core of the corse is the first five chapters of Fleming. The culmination of the course will be the Inverse and Implicit Function Theorems, the development of Lebesgue integral and the Change of Variables Theorem.
If time permits, we will also discuss the calculus of differential forms with applications to physics.
1 class late: 50% penalty; 2 classes late: 75% penalty; 3 classes late: no credit.
| # | Due date | Assignment | Solutions |
|---|---|---|---|
| 1 | 9/1 | Sec. 1.2, ex. 5, 6, 10. Sec. 1.3, ex. 7, 8, 10 | HW 1 |
| 2 | 9/10 | Sec. 1.4, ex. 2, 4, 5. Sec. 2.2, ex. 1(a), 3, 6 | HW 2 |
| 3 | 9/17 | Sec. 2.2, ex. 7(a), 10. Sec. 2.3, ex. 3, 5. Sec. 2.4, ex. 4, 6. | HW 3 |
| 4 | 9/24 | Sec. 2.5, ex. 6, 8. Sec. 2.6, ex. 5, 10. Sec. 2.7, ex. 7. Sec. 2.8, ex. 4(a, b) | HW 4 |
| 5 | 10/1 | Sec. 3.1, ex. 1, 3, 4. Sec. 3.3., ex. 1, 3, 5. | HW 5 |
| 6 | 10/15 | Sec. 3.3, ex. 8, 10. Sec. 3.4, ex. 1, 2, 4, 6. | HW 6 |
| 7 | 10/22 | Sec. 3.4, ex. 7. Sec. 3.5, ex. 2ab, 3, 4, 5, 7. | HW 7 |
| 8 | 10/29 | Sec. 3.3, ex. 4, 6. Sec. 3.5, ex. 1, 9. | HW 8 |
| 9 | 11/3 | Sec. 4.1, ex 1. Sec. 4.2, ex. 1, 2. Sec. 4.3, ex. 5, 6. | |
| 10 | 11/19 | Sec. 4.4, ex. 2, 5, 7. Sec. 4.5, ex. 1, 6. | |
| 11 | 11/24 | Sec. 4.6, ex. 1, 2, 5. Sec. 4.8, ex. 1, 2. |
It is important to recognize that these days off are not holidays. Instead, they are concrete examples of how massive state budget cuts have consequences for you as students and for me as a faculty member.
The CSU has suffered chronic underfunding for at least 10 years. This year the budget cuts are the worst in the history of our university system - 584 million dollars or 20% of our budget.
The CSU administration is attempting to deal with these cuts with huge increases in your student fees (32%), eliminations of your classes, and lay-offs of faculty and other university employees.
In addition to paying higher fees, you will be affected by reduced services and classes. The library will have shorter hours. Many campus support services will be decreased or eliminated. It will be more difficult to get signatures to meet deadlines. Classes you need may have been cut from the class schedule or are full.
If you would like to take action, or simply learn more, I strongly recommend you contact the California Faculty Association on campus.
Last modified: Mon Nov 16 13:53:17 PST 2009