Introduction to Mathematical thinking

Type of Course:

• Compulsory Yes (Cohort BA (H) Mathematics)
• Elective Yes (Cohort BA (H) other than Mathematics)

Course Coordinator and Team: Mradul Veer Singh (CC)

Email of course coordinator: mradul[at]aud[dot]ac[dot]in

Pre-requisites: Mathematics of the 10 + 2 level

Aim: This course has been designed with the aim of introducing students towards reading and writing Mathematics. A certain exposure to abstract mathematics is also an aim of the course. There will be due emphasis on an intuitive understanding of topics as well as the rigour required to do mathematics. Writing proofs is an essential part of this course.

Brief description of modules/ Main modules:

• Discrete Elements
• Linear Algebra
• Real Analysis

Refererences:

• R. G. Bartle and D. R. Sherbert, Introduction to Real Analysis (3rd Edition), John Wiley andSons (Asia) Pte. Ltd., Singapore, 2002.
• David C. Lay, Linear Algebra and its Applications (3rd Edition), Pearson Education Asia, Indian Reprint, 2007.
• Joseph A. Gallian, Contemporary Abstract Algebra (4th Edition), Narosa Publishing House, New Delhi, 1999.
• Edgar G. Goodaire and Michael M. Parmenter, Discrete Mathematics with Graph Theory (2nd Edition), Pearson Education (Singapore) Pte. Ltd., Indian Reprint 2003.

Tentative Assessment schedule with details of weightage: