MAT 544 — Fall 2011 Problem Sets MAT 544 — Fall 2011 Syllabus MAT 544 — Fall 2011 Exams

MAT 544 Course Webpage
Real Analysis I

Fall 2011

  • Problem sets
  • Exams
  • Syllabus

  • Course Announcements
  • Course Description
  • Prerequisites
  • Text
  • Lectures
  • Office Hours
  • Grading System
  • Hand-backs
  • Americans with Disabilities Act
  • Academic Integrity
  • Critical Incident Management

  • Course Announcements Announcements about the course will be posted here. Please check the site regularly for announcements (which will also be given in lecture and/or in recitation).

    Course Description The description in the graduate bulletin: Ordinary differential equations; Banach and Hilbert spaces; inverse and implicit function theorems; Lebesque measure; general measures and integrals; measurable functions; convergence theorems for integrals.
    The description on the mathematics department webpage.

    1. Advanced Calculus/Ordinary Differential Equations (``ODE'')
    2. Measure theory

    Prerequisites For graduate students in the mathematics Ph.D. program, there is no prerequisite. All other students should consult with the instructor regarding prerequisites.


    Gerald B. Folland, Real analysis: modern techniques and their applications, 2nd ed. available at the University Bookstore @ Stony Brook. A copy of the textbook will be on reserve in the Mathematics, Physics and Astronomy Library. Also you are encouraged to look for new or used copies of the book through other retailers or through your fellow graduate students.
    In addition to the required textbook above, for part of the course there will be a recommended textbook. Lynn H. Loomis, Shlomo Sternberg, Advanced calculus. Professor Sternberg has made an electronic copy of this book available on his webpage.

    Lectures The instructor for this course is Jason Starr. All instruction will occur in lectures. There are assigned readings in the syllabus which are to be completed before lecture. During lecture the instructor and the students will discuss the material in those readings, there will be exercises to practice the material, etc. For the lectures to be effective, you must complete the assigned reading from the syllabus before lecture.

    Lecture is held Tuesdays and Thursdays, 9:50 — 11:10AM in Physics P117. The physics building is in the bottom left corner of C4 in the online campus map. It is directly across from the Math Tower when exiting on the P-Level.

    Office Hours Office hours are Tuesday and Thursday, 11:20AM — 12:20PM, in the advising office in Math Tower P-143, and Thursday, 8:30AM — 9:30AM, in Math Tower 4-108.

    Grading System The relative significance of exams and problem sets in determining final grades is as follows.

    Midterm 1.
    Midterm 2.
    Problem Sets 1 — 10.
    20% (= 2% x 10)
    Final Exam.

    Graded problem sets and exams will be handed back in lecture. If you cannot attend the lecture in which a problem set or exam is handed back, it is your responsibility to contact your instructor and arrange a time to pick up the work (typically in office hours).

    You are responsible for collecting any graded work by the end of the semester. After the end of the semester, the instructor is no longer responsible for returning your graded work.

    Required Syllabi Statements
    The University Senate has authorized that the following required statements appear in all teaching syllabi on the Stony Brook Campus. This information is also located on the Provost's website:

    Americans with Disabilities Act.
    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, if any, are necessary and appropriate. All information and documentation is confidential.

    Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information go to the following web site: and search Fire Safety and Evacuation and Disabilities.

    Academic Integrity Each student must pursue his or her academic goals honestly and be personally accountable for all submitted work. Representing another person's work as your own is always wrong. Faculty are required to report any suspected instances of academic dishonesty to the Academic Judiciary. Faculty in the Health Sciences Center (School of Health Technology & Management, Nursing, Social Welfare, Dental Medicine) and School of Medicine are required to follow their school-specific procedures. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website at

    Critical Incident Management Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of University Community Standards any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn. Faculty in the HSC Schools and the School of Medicine are required to follow their school-specific procedures. Further information about most academic matters can be found in the Undergraduate Bulletin, the Undergraduate Class Schedule, and the Faculty-Employee Handbook.

    Back to my home page.

    Jason Starr
    4-108 Math Tower
    Department of Mathematics
    Stony Brook University
    Stony Brook, NY 11794-3651
    Phone: 631-632-8270
    Fax: 631-632-7631
    Jason Starr