Interested in joining our January 2024 batch? Applications opens on 25th September 2023.

Interested in joining our January 2024 batch? Applications opens on 25th September 2023.

Degree Level Course

Mathematical Thinking

To introduce ideas of proofs and problem solving in mathematics and to help in the transition from learning basic mathematical methods to the learning of more advanced mathematical methods and ideas.

by Amritanshu Prasad , Viswanath S

Course ID: BSMA2001

Course Credits: 4

Course Type: Elective

Pre-requisites: None

Course structure & Assessments

8 weeks of coursework, weekly online assignments, 2 in-person invigilated quizzes, 1 in-person invigilated end term exam. For details of standard course structure and assessments, visit Academics page.

WEEK 1 Numbers, Sets and Functions
WEEK 2 Language and Proofs
WEEK 3 Induction, Bijections and Cardinality.
WEEK 4 Combinatorial Reasoning.
WEEK 5 Divisibility, Modular Arithmetic.
WEEK 6 The Rational Numbers.
WEEK 7 Two Principles of Counting, Recurrence Relations.
+ Show all weeks

Prescribed Books

The following are the suggested books for the course:

“Mathematical Thinking: Problem-solving and Proofs”, John D’Angelo and Douglas West, Pearson, 2000 (2nd edition)

“Mathematical Proofs: A Transition to Advanced Mathematics”, G. Chartrand, A. D. Polimeni, P. Zhang, Pearson, 2012

About the Instructors

Amritanshu Prasad
Professor, The Institute of Mathematical Science, Chennai

Amritanshu Prasad is a faculty at The Institute of Mathematical Sciences, Chennai. His research interest is in representation theory.

  less

Viswanath S
Professor, The Institute of Mathematical Science, Chennai

S Viswanath is a faculty at The Institute of Mathematical Sciences, Chennai. His research interest is in representation theory.

  less