MAT336: History of Mathematics - Syllabus

Fall 2025

What this course is about

According to your teacher, this is a fascinating course about how we - human beings - have created and developed mathematical ideas. It is remarkable how these ideas vary greatly from one society to another, while at the same time maintaining something in common. We will start at the very beginning, discussing what we know about the mathematics of the first organized societies we know of. We will continue through Egypt, Mesopotamia, the Hellenic world, China, India, the Islamic world, the European Renaissance, and we will end by discussing selected topics in modern mathematics.

Along the way, we will reflect on the meaning of basic and fundamental mathematical concepts such as number and length.

Learning outcomes

Additional goals of your instructor.

The final goal is understanding. Since time is finite, we will go deep (as opposed to wide).

Course Info

Meeting times and place

Instructors (click on name for office hours and office location)

Communication

Course materials

Assessment

People learn in different ways, so we’ll work in different formats. It may feel like a lot now, but if you bring interest and effort, it will feel manageable by mid-semester.

Late Work Policy

You may use one “life happens” pass during the semester to submit any homework or paper preparation step up to 4 days late—no questions asked—just notify the grader.

For other late work:

If you know in advance that something will interfere with your ability to meet a deadline, please talk to me. I’m happy to work with you when possible—but only if we make a plan before the deadline.

Annotated Bibliography, Abstract, Outline, and Math Point of the Paper

Grades

This course focuses on learning, but here’s how your final grade will be calculated. Grades are spread across many types of assignments, many of which are low-stakes.

Your Wooclap grade is based on daily participation. Each lecture contributes equally, and your two lowest scores will be dropped. If you miss class for a documented reason (e.g., illness or family emergency), your grade will be rebalanced accordingly. Please fill out the missed work form in all such cases. Missed quizzes are treated the same way: they will be rebalanced if documentation is provided. There are no make-up quizzes.

Important: The presentation and paper are required to pass this course. If either is missing, you will not receive a C or better.

Grade Breakdown

What % Notes
Homework 0 1% Intro assignment
Project 1% Unleash your creativity!
Homework Assignments 20% Divided equally among all assignments
Quizzes 20% Divided equally among all quizzes
Wooclap Answers 20% Each day counts for 1/28 of the grade
See policy above
Presentation 14% In-class presentation on assigned topic
Slides 5% Submitted with your presentation
Paper 14% 2000-word paper on the same topic as your presentation
Paper Preparation
(annotated bibliography, baby draft, draft, abstract, outline)
5% Steps supporting the writing of your final paper

Where is what in the cyberspace.

  • Course website
    • This syllabus (!)
    • Course schedule
    • Link to the form to explain missed work.
    • Link to the page of reading materials, good sources and apps we will use during the semester.
  • Wooclap
    • Interactive questions during lectures
    • Summary of each lecture at the end. (if you do not have time do it in class, it will be open until midnight of the day of the lecture)
  • Course schedule
    • All deadlines and links to assigned work.
    • Presentations (and paper) topics and dates.
  • Brightspace
    • Grades
    • Announcements.
    • Discussion forum: Please use it for all questions and comments (see the point about email below). Answering questions of your classmates counts as class participation.
    • Submission of assignments.
  • Stony Brook Email
    • Announcements
    • Other issues

Additional Syllabus Statements

Course description

Description: A survey of the history of mathematics from the beginnings through the 19th century, with special attention to primary sources and to the interactions between culture and mathematics. Emphasis on topics germane to the high school curriculum. Mesopotamian, Egyptian, and Greek mathematics; non-European mathematics; early Renaissance mathematics; the birth and flowering of calculus; the beginnings of probability theory; and the origin of non-euclidean gemetrics and the modern concept of number.
Prerequisite: MAT 200 or MAT 203 or MAT 250 or AMS 261.
DEC: H
SBCL SBC: SPK,STAS,WRTD
Credits: 3

Accessibility, Academic Integrity and Critical Incident Management.

Student Accessibility Support Center Statement

If you have a physical, psychological, medical, or learning disability that may impact your course work, please contact the Student Accessibility Support Center, Stony Brook Union Suite 107, (631) 632-6748, or at [email protected]. They will determine with you what accommodations 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 the Student Accessibility Support Center. For procedures and information go to the following website: https://ehs.stonybrook.edu/programs/fire-safety/emergency-evacuation/evacuation-guide-disabilities and search Fire Safety and Evacuation and Disabilities.

Academic Integrity Statement

Academic Integrity Statement

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 is required to report any suspected instances of academic dishonesty to the Academic Judiciary. Faculty in the Health Sciences Center (School of Health Professions, 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 http://www.stonybrook.edu/commcms/academic_integrity/index.html

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 Student Conduct and 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.

Speak Effectively before an Audience (SPK)

Learning Outcomes for "Speak Effectively before an Audience"

1. Research a topic, develop an oral argument and organize supporting details.
2. Deliver a proficient and substantial oral presentation for the intended audience using appropriate media.
3. Evaluate oral presentations of others according to specific criteria.

Standards for "Speak Effectively before an Audience"

1. Courses or modules certified as providing oral communication practice must provide access to instruction in the methods of making a proficient oral presentation. Access might include referral to on-campus resources.
2. Certified oral communication experiences shall require students to make a substantial and graded oral presentation (e.g., 10-15 minutes) before a group.
3. Certified oral communication experiences shall have students evaluate other students' oral presentations using explicit criteria.
4. A certified experience shall achieve all three learning outcomes.
5. Although most programs will stipulate that the learning outcome will be completed in English, some programs could demonstrate that the requirement could be completed in an alternative language.

Write Effectively within One's Discipline (WRTD)

Learning Outcomes for "Write Effectively within One's Discipline"

1. Collect the most pertinent evidence, draw appropriate disciplinary inferences, organize effectively for one's intended audience, and write in a confident voice using correct grammar and punctuation.

Standards for "Write Effectively within One's Discipline"

1. Produce written work congruent with the standards of one’s discipline
2. Complete one certified course that reinforces writing skills in the major discipline OR submit a portfolio of at least 15 pages of written work in the discipline, as determined by the department and certification committee.
3. Although most programs will stipulate that the learning outcome will be completed in English, some programs could demonstrate that the requirement could be completed in an alternative language.

Understand Relationships between Science or Technology and the Arts, Humanities, or Social Sciences (STAS)

Learning Outcomes for "Understand Relationships between Science or Technology and the Arts, Humanities, or Social Sciences"

1. Apply concepts and tools drawn from any field of study in order to understand the links between science or technology and the arts, humanities or social sciences.
2. Synthesize quantitative and/or technical information and qualitative information to make informed judgments about the reciprocal relationship between science or technology and the arts, humanities or social sciences.

Standards for "Understand Relationships between Science or Technology and the Arts, Humanities, or Social Sciences"

1. A certified course shall fulfill both learning outcomes. Certified courses will devote significant time to consideration of the consequences of science or technology for social, economic, ethical, moral, political, artistic, and/or other domains of experience.

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