Office: 383M
Phone: 723-2226
E-mail: andras "at" math.stanford.edu
Office hours: TBA
Course Assistant: TBAOffice: TBA
Office hours: TBA
Class location: TTh 12:50-2:05pm, Room 380F.
Textbook: Johnsonbaugh and Pfaffenberger, Foundations of Mathematical Analysis.
The syllabus from 2011 may change somewhat, but should give an indication of the scope and speed of the course.
This is an honors analysis course, emphasizing rigorous (i.e. logically careful) proofs and abstract notions, especially those related to metric spaces. It requires a thorough understanding of calculus, which provides the motivation for a significant part of the material. One of the goals of the course is to make you proficient in proof-writing, which is a crucial skill for more advanced mathematics courses, as well as a mechanism by which you can test your understanding of the material. Thus, there will be extensive homework assignments, and you should expect to spend much more time on this course than you are used to in other courses. In addition, there will be a writing assignment in the second half of the quarter which will have to be handed in in weekly installments. For a less abstract analysis class (focusing on Euclidean space), see Math 115.
Grading policy: The grade will be based on the weekly homework (20%), the writing assignment (15%), on the in-class midterm exam (25%) and on the in-class final exam (40%).
The homework will be due either in class or by 9pm in the instructor's mailbox on the designated day, usually Tuesdays. You are allowed to discuss the homework with others in the class, but you must write up your homework solution by yourself. Thus, you should understand the solution, and be able to reproduce it yourself. This ensures that, apart from satisfying a requirement for this class, you can solve the similar problems that are likely to arise on the exams.