MAT 513 — Spring 2013 Problem Sets MAT 513 — Spring 2013 Syllabus MAT 513 — Spring 2013 Exams

MAT 513 Course Webpage
Analysis for Teachers I

Spring 2013

  • Problem sets
  • Exams
  • Syllabus

  • Course Announcements
  • Course Description
  • Prerequisites
  • Text
  • Lectures
  • Office Hours
  • Grading System
  • Coursework and Quizzes
  • Hand-backs
  • Term Paper
  • Academic Resources
  • 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). There are currently no announcements.

    Course Description The description in the graduate bulletin: Topics in differential calculus, its foundations, and its applications. This course is designed for teachers and prospective teachers of advanced placement calculus.

    Prerequisites The prerequisite is MAT 511.


    Steven R. Lay, Analysis with an Introduction to Proof, 4/E. available at the University Bookstore @ Stony Brook.
    In addition to the required textbook above, for part of the course there may be additional course notes which will be made available through the Blackboard page.

    Lectures The instructor for this course is Jason Starr. 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 Mondays and Wednesdays, 5:30 — 6:50PM in Math Tower 4-130.

    Office Hours Office hours are tentatively scheduled for Tuesdays and Fridays, 4 — 5PM, Math Tower 4-108. Additionally, I am advising in Math Tower P—143 on Tuesdays, 11AM—12NOON. You may also contact me to schedule an appointment.

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

    Term Paper.
    Problem Sets, Quizzes and Classwork.
    Final Exam.

    Coursework and Quizzes
    Attendance is mandatory. Coursework for in-class projects and quizzes make up a significant part of the final grade. Quizzes are governed by the same rules as other exams. The current plan is to have weekly quizzes during Wednesday class meetings. However, if attendance becomes a problem, these may become "pop quizzes" to encourage attendance. Missed coursework and quizzes will only be excused if there is a valid excuse (work-related absences will not be excused). The lowest quiz score will be dropped when computing final course grades (this could include one missed exam).

    Graded problem sets, quizzes, 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 the instructor and arrange a time to pick up the work (typically in office hours).

    Students are responsible for collecting any graded work by the end of the semester.

    Term Paper Part of the coursework for the semester will be a term paper, 10 pages in length, on a topic related to analysis. This may be a topic in the history of analysis, a biography of an important analyst, a topic about applications of analysis in other areas, etc. However, every term paper must include a correct statement of a mathematical theorem not already covered in lecture, as well as a correct explanation of a mathematical argument. More details will be discussed in lecture. All paper topics must be submitted to the instructor for approval prior to April 15th.

    Here are several possible term paper projects: historical treatment of infinitesimals, invention of calculus by Newton and Leibniz, pre-history of calculus (Archimedes, Cavalieri, Descartes, Fermat, Barrow, ...), non-standard analysis, convergence of series, non-Archimedean ordered fields, history of the Completeness Axiom / Heine-Borel / Bolzano-Weierstrass / Cauchy Convergence Theorem, open and closed sets in metric spaces, history of L'Hospital's rule, Dedekind cuts, Cantor sets, history of Mean Value Theorem / Rolle's Theorem, history of the Intermediate Value Theorem / equivalence to the Completeness Axiom. Of course there are many other possible topics. Students should confirm their paper topic (whether from the above list or not) by April 15th.

    Academic Resources There are a number of organizations on campus offering tutoring and other academic resources in various locations. The mathematics department offers drop-in tutoring in the Math Learning Center. You are strongly encouraged to talk to a tutor in the MLC if you have an issue and are unable to attend your lecturer's office hours.

    Please be aware that tutors in the MLC deal with students on a first-come, first-served basis. Thus it is usually preferrable to speak with your instructor in their office hours. (Even if you find your instructor in the MLC, the instructor may be obliged to speak to other students before speaking with you.)

    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