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
- Identify and compare major mathematical contributions across cultures, and explain their influence on later developments.
- Solve mathematical problems using historical methods, and reflect on how these approaches differ from modern techniques.
- Analyze how different societies developed core mathematical concepts such as number, space, and measurement, in order to deepen understanding of their meaning and significance.
- Evaluate the credibility of historical and mathematical sources using appropriate criteria.
- Successful completion of MAT 336 with a C or better satisfies DEC H and the expository portion of the upper-division writing requirement for the mathematics major, as well as the SPK, STAS, and WRTD objectives of the Stony Brook Curriculum.
Additional goals of your instructor.
- Assist you in removing your 21st century local glasses and in looking at the math world of ideas with new eyes.
- Share with you some of the beauty of mathematics which can be found specially in the most basic ideas.
The final goal is understanding. Since time is finite, we will go deep (as opposed to wide).
Course Info
Meeting times and place
- LEC 01 — MW 11:00–12:20pm - Humanities 2047
- LEC 02 — TR 9:30–10:50am - Psychology A 146
- LEC 03 — MW 3:30–4:50pm - Physics P130
Instructors (click on name for office hours and office location)
- Moira Chas Instructor - Lectures 1 and 3
- Ljudmila Kamenova Instructor Lecture 2
- Paris Yang Grader - Lecture 1.
- Taryn Wilcken Grader - Lecture 2.
- Isabella Basso Grader - Lecture 3.
Communication
- Check your Stony Brook email and Brightspace regularly for announcements and updates.
- To help everyone, please use the Brightspace forum for all non-private matters, including broken links on course webpages. Email us only for sensitive or private issues. We recommend subscribing to the forum to receive notifications.
- For absences or missed work, use this missed work form instead of email. We cannot guarantee that emailed reports will be recorded.
- Expect email replies within 1–2 business days. Plan accordingly.
- If a circumstance affects your ability to participate in the course, you are welcome (but not required) to contact us. The earlier, the better.
- Contact the SASC office to document accommodation needs.
- For questions about grading or late work, please contact the grader first.
- Constructive feedback is always appreciated by us, your instructors.
Course materials
- The course schedule includes links to the required readings.
- There is no required textbook. However, you are expected to complete the readings listed in the schedule. You are also encouraged to explore additional materials—books, articles, videos, and activities—many of which are collected on the links page. If you’re interested in a particular topic, feel free to ask us for suggestions.
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.
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Homework: Due dates are listed in the course schedule. You may discuss problems with others, but write-ups must be your own. Follow the AI policy.
Guidelines and rubrics are included in each homework assignment.
You may use one "life happens" pass to submit any homework up to 4 days late—just notify the grader. -
Quizzes: Based on the homework. Dates are listed in the course schedule.
Follow the same guidelines as homework assignments. - Participation: Includes asking and answering questions, completing in-class activities, and posting on the Brightspace forum. Activities vary and may include group work, origami, technology, etc.
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Wooclap polls and questions: These are answered on your device during class. You earn credit for thoughtful responses—not correctness. Random or off-topic replies may not count. In some cases (announced in class), you may answer “I do not have time.” You must be present in class to receive credit. Answering remotely or having someone else answer for you is academic dishonesty and will be reported to the academic judiciary.
These responses count toward your grade because they reflect your engagement and help guide our learning. There is no separate rubric—grading is based on participation as explained above. -
Presentation: You’ll present on a topic chosen in consultation with the instructor. If you are not ready to present on the scheduled day without a documented reason, 20% will be deducted.
More info: presentation rubric and guidelines. -
Presentation Slides: Submit your slides by the scheduled date.
Details are in the slide rubric and guidelines. - Paper Preparation: Includes submitting abstract, outline and a few drafts. Deadlines for each item are listed in the course schedule. See here for guidelines.
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Paper: You'll write 1500-word paper on the same topic as your presentation.
See the paper rubric and guidelines and schedule for due date. - Project: You will create a poster, video, comic, or similar project explaining a math history concept to non-experts. See here for more details
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:
- Up to 2 days late: 10% penalty
- 3–4 days late: 20% penalty
- More than 4 days late: not accepted unless you have a documented emergency.
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
- Abstract: A short summary of your paper (200–400 words). It should clearly state the main topic, scope, and key ideas.
- Outline: A bullet-point list describing the structure of your paper or presentation—essentially, the skeleton of your work. Each section title should appear in the outline.
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Math Point: One specific mathematical idea related to your topic that you understand and can explain clearly. It doesn’t have to be complicated or technical—but it should be something you understand inside out. It may be:
- a historical problem and its solution
- a method or proof
- a concept or definition explained clearly
Examples of math points:
- Combinations and binomial coefficients in Pascal’s Traité du triangle arithmétique
- Liu Hui’s work on calculating the volume of a sphere
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% | 1500-word paper on the same topic as your presentation |
| Paper Preparation (abstract, outline and a few drafts) |
5% | Steps supporting the writing of your final paper |
Each homework assignment counts equally toward your homework grade (4% of your final grade each), and each quiz counts equally toward your quiz grade (4% of your final grade each), regardless of the point values on individual assignments. This means that a 50-point homework and a 100-point homework both contribute the same amount to your final grade. Grades may be standardized to maximize fairness across all assignments. The purpose of this approach is to keep grading consistent and fair.
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