Taught By: Dr. Steve Condie Office: A157 (Math Area) Phone: 907-5967

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Taught By: Dr. Steve Condie

THEORY OF ANAYLSIS – FALL 2015

Office: A157 (Math Area)

Phone: 907-5967 email: scondie@imsa.edu

Website: http://staff.imsa.edu/~scondie

Text: “ A Friendly Introduction to Analysis

”, by Witold A.J. Kosmala

Office Hours:

My free periods are: 3,5, and 7

If you want to be certain that I am at my desk ready to help you, make an appointment.

Please feel free to stop by anytime without an appointment, but do not be surprised if I am busy with another student or out of the office.

Notebooks:

You should keep a notebook as in MI. Keeping worksheets, problem sets, homework, quizzes, exams, and other handouts in your notebook is a good idea.

Classroom work:

Each student is responsible to contribute his or her fair share to the classroom learning experience. If a student comes to class unprepared they jeopardize the integrity of the learning environment. That is, they do not merely cheat themselves; they cheat the entire class. I expect each student to have done all the reading assigned before class, and to have made an honest attempt at each of the assigned problems. Students will be asked to engage in the dialogue of problem solving and help their classmates understand the content of the course. Students will also be asked to present solutions to homework problems and prepare and present topics from the theory being developed.

Quizzes:

Announced or unannounced, usually short, frequent and yours to keep in your notebook.

The quizzes should act as an incentive for students to keep up with the course material.

Exams:

There will be exams approximately once every month. Exams will be announced approximately a week in advance.

Homework/Problem Sets:

Homework assignments will be given frequently. In order to understand the concepts it is imperative that these assignments are completed. You are encouraged to work together on these assignments and/or get other outside help. Assignments will normally consist of assorted problems written out in worksheet format together with problems from the textbook.

Each problem set will be graded out of 10 points on the following criteria:

5 points for completion of all problems

5 points for correct and carefully done work

15 points for one or two problems chosen at random from the worksheet (and problems in bold from text) and checked for correctness and exposition.

Group Presentations:

Much of the theory will be developed by the class in a seminar format. As we work through the text and outside materials, students will give group presentations on the theory. There will often be a short time to prepare these presentations, so it is incumbent upon students to keep up with the material in this class and their other classes.

Assessment/Evaluation:

Semester Grades: Homework

Problem Presentation

Group Presentations

Exams & Quizzes

Semester Exam

- 20%

- 5%

- 20%

- 35%

- 20%

Note: Real Analysis is a theoretical mathematics course and hence at a much higher level of abstraction than the BC Calculus sequence or MVC. Many of the problems will involve proving results, which is the essence of theoretical mathematics. The ideas and concepts covered are difficult to visualize and intuition is often wrong. It is imperative that students read the text carefully and attempt all problems assigned. Most importantly, THINK. Oh and even more important, THINK HARD AND DEEP.

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