aalok thakkar: qrmt

summer 2025: fc-0306

Amartya Kumar Dutta, First layer of Śyenacit. (2022)

Logistics:

Credits: 4
Classes: Mondays, Tuesdays, Wednesdays, Fridays, 11:10am to 1:10pm
Classsroom: AC-02-LR-107
Teaching Staff: Rhea (teaching fellow) and Karan Chordia (teaching assistant)
Instructor Office Hours: Fridays, 10:00am to noon at AC04-705 or by appointment

Links:

Course Outline and Lectures
Final Paper Guidelines
Resources and Reading Materials

Course Description: This course explores the rich history of mathematics in India, from the Vedic period to modern times. Focusing on key texts and ideas, it examines the evolution of concepts like numbers in the Vedas, the construction of geometric figures in the Sulbasutras, and the discovery of zero and the place value system. Students will study the contributions of great mathematicians such as Aryabhata, Brahmagupta, Bhaskaracharya, and others in fields like algebra, geometry, trigonometry, and combinatorics. The course also highlights the Kerala school's advances in calculus and spherical trigonometry, including proofs from the renowned Yuktibhasa. Finally, it explores the legacy of Indian mathematics in the modern era, focusing on the profound work of Srinivasa Ramanujan and its deep connection to India's mathematical traditions.

Grading: A serious student of a mathematics learns best by active involvement. This course is structured to incentivise involvement through the following:

  1. Assignments (40%): The course includes four problem sets designed to supplement lectures and develop practical application skills. To foster a focus on learning rather than grades, you will receive detailed feedback instead of numerical scores. This approach emphasizes understanding, growth, and the ability to refine your knowledge through iterative improvement.
  2. Examination (20%): One 2-hour, closed-book in-class exam. Students may bring one double-sided "cheat sheet" (hand-written or typed) of their own creation. The exam will test conceptual understanding and problem-solving abilities.
  3. Class Participation & Attendance (15%): Regular attendance and active engagement in discussions and the Fire Altar Construction activity. Participation quality matters more than quantity - thoughtful questions and contributions are valued.
  4. Final Paper (25%): A collaborative final paper. Includes proposal submission, draft review, and final revision. See the final paper page for detailed guidelines and milestones.

Assignments: Assignments will be available every Friday morning at 10:00 AM and are due by 9:00 AM the following Friday. We aim to grade assignments in the same week. No extensions will be granted. We will grant exemptions from the assignments only in the case of medical emergencies, proof of which must be emailed to the teaching assistant within 24 hours of the request.

Policies: From Ashoka's Academic Integrity Policy (MyAshoka → Information and Documents → Office of Academic Affairs): plagiarism—which is a matter of producing academic work that borrows, without acknowledging, from another person's work—is a serious academic offense. All violations of Academic Integrity Policy (including but not limited to plagiarism and the use of AI or other tools) will result in an F grade for the course. Please familiarize yourself with the policies and sanctions.

Support: Students are encouraged to reach out to University offices such as the Office of Learning Support, Ashoka Center for Well-Being, and Center for Writing and Communication for additional support.

Calendar:

Sunday Monday Tuesday Wednesday Thursday Friday Saturday
Jul 6 Jul 7
Lecture 1
Jul 8
Lecture 2
Jul 9
Lecture 3
Jul 10
Lecture 4
Jul 11
Assignment 1 Due
Jul 12
Jul 13 Jul 14
Lecture 5
Jul 15
Lecture 6
Jul 16
Lecture 7
Jul 17
Lecture 8
Jul 18
Assignment 2 Due
Jul 19
Jul 20 Jul 21
Lecture 9
Jul 22
Lecture 10
Jul 23
Lecture 11
Jul 24
Lecture 12
Jul 25
Assignment 3 Due
Jul 26
Jul 27 Jul 28
Lecture 13
Jul 29
Lecture 14
Jul 30
Lecture 15
Jul 31
Mid-term Exam
Aug 1 Aug 2
Aug 3 Aug 4
Lecture 16
Aug 5
Lecture 17
Aug 6
Lecture 18
Aug 7
Lecture 19
Aug 8
Assignment 4 Due
Aug 9
Aug 10 Aug 11
Lecture 20
Aug 12
Lecture 21
Aug 13
Lecture 22
Aug 14
Fire Altar Construction
Aug 15 Aug 16