Mathematics 131BH Handout -- Winter 2010

Instructor: Thomas M. Liggett

Instructor's office hours: MWF 1:30-2:30 in MS 7919

Text: Principles of Mathematical Analysis, 3rd edition, by Walter Rudin. We will cover roughly chapters 6-9 in the Winter. However, we will begin on page 108, doing the part of chapter 5 that we did not get to in 131AH, and will leave the latter part of chapter 9 to 131C. Many of the topics will be familiar from the Calculus sequence, but now the emphasis is quite different. While your Calculus courses were largely computational in nature, this course emphasizes rigor and precision. We will use the Calculus as a vehicle for learning how to construct careful mathematical arguments (also known as proofs).

Discussion sections: The discussion sections are conducted by the teaching assistant, and are an integral part of the course. They provide an opportunity to have your questions answered on a more personal basis and at greater length than is possible in the lecture. Particularly in this course, there will often be aspects of solutions to exercises that you will not have considered. You should take advantage of the chance to ask questions that go beyond the particular problems that were assigned that week.

Homework: It is practically impossible to learn mathematics without doing a lot of problems. Therefore, it is extremely important that you do the assigned problems carefully and promptly. Don't get behind! I will assign homework each Wednesday. It will be due in the discussion section the following Tuesday. I expect that graded homework will be returned to you a week later. You may discuss homework problems with other students, the TA or me before they are turned in. In fact, the right kind of discussion can be quite valuable. I do expect two things, though: (i) you should try hard to do the exercise yourself before discussing it with anyone, and (ii) you should write up the solution yourself after understanding it thoroughly, without following someone else's written version. Otherwise, the homework does you no good. It is a very poor strategy to "find out" from someone else how to do a problem, and then turn in that solution. It may slightly help your HW score, but the effect will be clearly visible (and much larger and of the opposite sign) on the exam grades.

Examinations: There will be a midterm on February 10, and a final exam on Wednesday, March 17, 11:30-2:30.

Grading: The final grade will be based on the the exams and homework with the following weights: Final (50%), Midterm (30%) and homework (20%).

MyUCLA: I will use the MyUCLA grading program, so that you can get homework and exam grades as soon as they are available.