640:502 Theory of Functions of Real Variables II




Class meets: TTh5, in Hill-423.
Text: Real Analysis: Modern Techniques and Their Applications, by J. Folland (Wiley-Interscience; 2nd edition, 1999. ISBN-10: 0471317160)
Instructor: Dr. Zheng-Chao Han
Office Hour: M9:15am--10:15am, T11:00am--noon, or by appointment, in Hill Center-230.
Email: zchan AT math dot rutgers dot edu.

Note: Do not forget to "reload" the assignments pages - if you visited them before, your browser may be showing you only the old cached page. Any updated information should be posted on this web page. However, the most accurate information will be from the lectures.


Some General Comments on this Course

Our approach: There are different ways to develop the material of real analysis. Some develop it from a very general framework, arrange topics in a most economical way, and provide the statements and proofs in forms as general as possible. While abstraction and generalization are very important aspects of analysis that a student ought to learn, the ability to see through the central ideas of a proof, and apply them in concrete situations is equally important. We will try to convey both of these aspects in our presentation.

While the arrangment of topics in textbooks tends to give the impression of seamless flow, the creation of the ideas/theories generally did not follow this route, nor would most people learn/understand a theory this way. So we will allow ourselves to move back and forth among the ideas, not necessarily completing the whole picture on first presentation. For this reason, I may alter the order of presentation of topics from the text from time to time.


Regular Assignments: Working out problems is especially crucial in a subject such as real analysis. You would not really learn much by merely coming to all the lectures and taking good notes. So I advise you to form the habit, from the very beginning, of working out problems on a regular basis and of trying to develop topics without consulting the complete details in references.

Problem sets are due in class on the announced date. Any late submission of homework has to have the prior agreement from the instructor.

You are encouraged to discuss the course material and problems with fellow students. Remember, of course, that plagiarism is absolutely forbidden; after these discussions, when you write up assignments and put your name on them, you are certifying that you wrote them in your own words and by yourself. For Rutger University Academic Integrity Policy, please refer to http://TeachX.rutgers.edu/integrity/policy.html.


Grading Policy

Your grade will be determined as follows:



Here are links to dated material, as our course progresses.