Course Description and Grading Breakdown TopicsConvergence of sequences and series of real and complex numbers, sequences of functions, power series and Taylor expansions, Fourier series. GradesBased on weekly homework sets. There are no exams. Optional Presentation You may choose to give an optional 5-10 minute presentation during the last week of class. The topic can be a theorem or a result relevant to the course material which you find interesting; or you may talk about an application of something covered in class in another discipline. In return, your lowest homework grade will be dropped when calculating your final grade. If you choose to do this presentation, please notify me by February 1st. Tuesday and Thursday 9:00 - 9:55 am 387 Linde Course Instructor Contact Information and Office Hours 375 Linde Hall TA Contact Information and Office Hours e-mail: xxiao at caltech.edu Office Hours: 3-4pm Sundays and by appointment Office Hours Location: 302 Linde Hall Course Schedule and Textbook
Course Policies Late work will not be accepted except for: 1) Medical reasons (requiring a note from the Health Center) 2) Serious personal difficulties (requiring a note from the Dean's Office) Assignments Homework problems will be assigned weekly and posted online. There will be a total of six homework sets. Each homework will have four problems. The first problem should be done on your own; you are welcome to collaborate on the last three. The problems assigned in a given week are due the following Monday at 4:00 PM. In your solutions, you may use results from class, from Apostol, or the results stated as problems already assigned. Be explicit about citations when using such results; e.g., state the theorem number or the exercise number. If you wish to use a theorem that was not stated in class, you must provide a proof or an explicit citation to a published textbook. In particular, online lecture notes and Wikipedia are not acceptable sources. Each assignment will consist of four problems of equal value. The first problem is supposed to test your basic understanding and should be done on your own. You are welcome to collaborate on the last three. However, you must write up your own solutions independently.
Collaboration Table
* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work. For example, "by Mathematica" is not an acceptable justification for deriving one equation from another. Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them. |