SUNY at Stony Brook MAT 319: Foundations of Analysis
Spring 2007

General Information

Text: Introduction to Real Analysis, by R. Bartle and D. Sherbert, Third ed, Wiley.

Instructors: select Schedule and Instructors link to your left.

Description and goals: MAT 319 provides a closer, more rigorous look at the fundamental concepts of one-variable calculus. The main focus will be on the key notions of convergence and continuity; we will also study the properties and axioms describing real numbers and subsets of R. The course provides a good opportunity for students to learn how to read and write rigorous proofs. The course is writing intensive; all students will have the opportunity to complete the proof-oriented component of the Department of Mathematics upper division writing requirement.

Homeworks. This is an essential part of the class and is worth a considerable amount of the grade. The homework sets will be posted weekly on the web in PDF format and will be due in class on the due date. If for some reason you need to miss the lecture, please bring the homework to the professor's office by noon on the due date. (Put it under their office door if the professor is not there.) Late work will receive reduced credit, and will not be accepted after solutions are posted. You may discuss your homework with other people (in fact, this is often a good idea), but the work you hand in must be your own, not copied directly from others. You should also list your working partners on the homework you hand in. The first homework will be due on Tuesday, Jan. 30.

Project. Each student will work on a project (typically with one or two other students). This will involve writing a paper on a topic related to the course; time permitting we will also have oral presentations of the papers. The exact form of this project will depend on how many students are in the class and will be announced later.


  • Midterm 1: TBA, in class
  • Midterm 2: TBA, in class
  • Final exam: TBA
Place and other information will be announced separately.

Makeup examinations. The university policy is that makeup examinations are given only for work missed due to unforseeable circumstances beyond the student's control. This does NOT include schedule conflicts. If you have a schedule conflict, please let your lecturer know as soon as possible. Makeup examinations must be arranged with the lecturer.

Grades. Grades will be based on the following scheme: Homework -- 25%; Project -- 15%; Midterms (two) 15% each; Final Exam 30%.

Disabilities. If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services, ECC (Educational Communications Center) Building, room 128, (631) 632-6748. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential. Note that we cannot make special arrangements for students with disabilities except for those determined by DSS.