MAT 513 — Spring 2018 Problem Sets MAT 513 — Spring 2018 Syllabus MAT 513 — Spring 2018 Exams

MAT 513 Course Webpage
Analysis for Teachers I

Spring 2018

  • 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. Mathematical topics integrate the study of the historical development of calculus, including contributions from diverse cultures.

    Prerequisites The prerequisite is MAT 511.

    Text Required text:

    Stephen Abbott, Understanding analysis, Second edition. available at the University Bookstore @ Stony Brook.

    In addition to the required textbook above, there is a recommended textbook for additional background.

    Recommended text:

    Lara Alcock, How to think about analysis.


    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 scheduled for Mondays 10 — 11AM and 4:30PM — 5:30PM in Math Tower 4—108. Additionally, I am advising in Math Tower P—143 on Mondays, 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.

    Problem Sets, Quizzes and Classwork.
    Exam 1. Wednesday, March 7.
    Exam 2. Wednesday, April 18.
    Term Paper.
    Final Exam. Thursday, May 10.

    Classwork and Quizzes
    Attendance is mandatory. Participation in class discussions forms an important part of the course. If necessary, there may be in-class quizzes as part of the participation component. Missed classwork, including quizzes, will only be excused if there is a valid excuse (work-related absences will not be excused).

    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 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 16th.

    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 12th.

    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.

    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.

    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