Course Title: Introduction to Mathematical Thinking (M01)

Semester: II

Course Coordinator: Balchand Prajapati (balchand@aud.ac.in)

Co-teacher- Saroj Bala Malik (saroj@aud.ac.in)

Discipline Course: Mathematics (Core)

This is a compulsory course for BA Honours Mathematics students and optional

for all other Honours.

II Semester, 4 credits

This course has been designed with the aim of introducing Mathematics Honours

students towards reading and writing Mathematics. A certain exposure to abstract

mathematics is also an aim of the course.

This course is intended to be completed in 64 hours of direct classroom teaching

including time for assessments.

For non-math major students opting for this course it is desirable that the student should

have taken mathematics at XII board level. For students without mathematics at the XII

board level, a special aptitude test will be administered to check if the student will be

able to handle the course.

Assessments:

Components Weightage Schedule

1. One Class Test 10% Second week of February

2. Mid Semester Test 25% As per AUD timetable

3. Presentation 15% First week of April

4. End Semester Test 35% As per AUD timetable

5. Tutorial Assessment 15% Throughout the semester

The three main modules taught are as below:

Discrete Elements

Linear Algebra

Real Analysis

Suggested references and texts:

1. R. G. Bartle and D. R. Sherbert, Introduction to Real Analysis (3rd Edition), John

Wiley andSons (Asia) Pte. Ltd., Singapore, 2002.

2. David C. Lay, Linear Algebra and its Applications (3rd Edition), Pearson

Education Asia, Indian Reprint, 2007.

3. Joseph A. Gallian, Contemporary Abstract Algebra (4th Edition), Narosa

Publishing House, New Delhi, 1999.

4. Edgar G. Goodaire and Michael M. Parmenter, Discrete Mathematics with Graph

Theory (2nd Edition), Pearson Education (Singapore) Pte. Ltd., Indian Reprint

2003

Quantitative Methods (M02)

OBJECTIVES:

This will be an optional foundation course offered to undergraduate students in the

second semester. It will provide a set of quantitative tools that will be of use to the

student irrespective of the discipline they pursue. This course will be a 4-credit

course.

The topics included will enhance quantitative and analytical skills. The topics for the

course have been chosen keeping in mind the requirements for quantitative skills in

social sciences and humanities.

It is envisaged that apart from lectures and tutorials, there will also be Excel labwork as

and when required and appropriate for the course.

The prerequisite for the course will be school mathematics broadly of the Xth

grade CBSE level.

Where ever possible real-life examples will be used to highlight applications. There will

be presentation projects involving surveys and/or visualisation as part of the course.

MAIN MODULES:

1. Functions and graphs

2. Linear Equations and Matrices

3. Statistics

Each module will have approximately 12 hrs of direct teaching. (So there will be 36 hrs

of direct teaching, 8 hrs of assessment, the remaining 20 hrs will involve tutorials,

supervisions, discussions and lab work.)

Course Coordinator: Dr. Kranti Kumar (kranti@aud.ac.in)

Course Team: Dr. Kramti Kumar, Dr. Ramneek Khasa (ramneek@aud.ac.in )

ASSESSMENT DETAILS WITH WEIGHTS:

1. Class test 10% (First week of February)

2. Lab Work assessments 15% (Throughout semester)

3. Mid semester 25% (as per AUD academic calendar)

4. End semester 35% (as per AUD academic calendar)

5. Group Presentations 15% (early April)

MAIN TEXTS AND READINGS:

5. Alpha C. Chiang and Kevin Wainwright, Fundamental methods of Mathematical

Economics, Fourth edition, McGraw-Hill International Edition, 2005.

6. Andrew Edmondson and David Druce, Advanced Biology Statistics, Oxford

University Press, 2006.

7. David C. Lay, Linear Algebra and its applications, Third edition, Pearson Education,

2003.

8. K B Sinha et al, Understanding Mathematics, Universities Press, 2000.