THEORY OF ANAYLSIS – FALL 2012 Taught By: Dr. Steve Condie Office: A157 (Math Area) Phone: 907-5967 email: [email protected] Website: http://staff.imsa.edu/~scondie Text: “A Friendly Introduction to Analysis”, by Witold A.J. Kosmala Office Hours: My free periods are: AC Days: Mods 4,5,9,10,14 and 15 BD Days: Mods 3-6, 8-10, and 13-15 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: Homework assignments will be given daily. Students will be asked to present solutions to these problems to the class. You are encouraged to work together on these assignments and/or get other outside help. I will collect all homework assignments, grading one or more problems at random. 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 - 15% - 15% - 15% - 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.