SUNY at Stony Brook MAT 319/320: Foundations of Analysis/Introduction to Analysis
Fall 2006

General Information

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

Course coordinator: Alexander Kirillov,, Office: Math 3-112; tel. 632--8289. Other instructors information and office hours are posted on the course web page.

Description and goals: Both MAT 319 and 320 provide 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; the basic facts about differentiation and integration will be presented as examples of how these notions are used. The course provides a good opportunity for students to learn how to read and write rigorous proofs. MAT 320 prepares them for further studies in analysis. Both courses are writing intensive; all students will have the opportunity to complete the proof-oriented component of the Department of Mathematics upper division writing requirement.

Relation between MAT 319 and MAT 320: These two courses will be taught together to begin with. The first Midterm will be taken by all students in class on October 6. The lecture in the following week will still be joint, but after that the classes will split. Students will divide into sections depending on their aptitude and choice and the lecturers' recommendations. (Special arrangements have been made with the Registrar to permit this late change of registration.)

Since the syllabus of MAT 319 is less crowded than that of MAT 320 this course will go more slowly. It is intended primarily for students in the Teacher Preparation Program, and will therefore discuss some topics relevant to future teachers. Students in MAT 319 will also be expected to complete a project. However MAT 319 will not provide as good a foundation for the more advanced subsequent courses in the major such as MAT 322, MAT 324, MAT 364 and MAT 401/2. Any student who is contemplating going to graduate school in a mathematics related field is strongly advised to take MAT 320.

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 by noon on the due date. If for some reason you missed the lecture, please bring the homework to the professor's office. (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 Fri, Sept. 15.

MAT 319 Project. Each student in MAT 319 will work on a project (typically with one or two other students). The exact form of this project will depend on how many students are in the class and will be announced later. It will involve a 5 minute oral presentation backed up by a written paper.


  • Midterm 1: Fri, October 6, in class
  • Midterm 2: TBA (in class)
  • Final exam: Wed., Dec 20, 8:00AM-10:30AM
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 course coordinator (Kirillov).

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.