Objectives of the programme: 

The goal of the course is to help students to develop a valuable mental ability – A powerful way of thinking that our ancestors have developed over three thousand years. This course is designed with particular students in mind. People who want to develop or improve mathematics – based analytic thinking for professional or general life purposes. To achieve this aim, the first year of the course has very little traditional mathematical content, focusing instead on the thinking processes require for mathematics. The second year of the course provides mathematical thinking to succeed in their major. The third year of the course engages in thinking about mathematical ideas. After completing the course, one can apply effective strategies of thinking to approach questions in their lives with insight and innovation. Finally any one can think more effectively and imaginatively throughout their lives.

16.   TEACHING METHODOLOGY

Each subject is designed with lectures/assignments/peer team  teaching/seminar etc. to meet effective teaching and learning.

17.   TEXT BOOKS

List of text books will be given at the end of the syllabus of the each subject.

18.   REFERENCE BOOKS

List of reference books are followed by the list of text books.

19.   RE-TOTALING AND REVALUATION PROVISION

Students may apply for re-totaling and revaluation after declaration of result within 15 days.

20.   TRANSITORY PROVISION

The candidates of previous syllabus scheme may be permitted to  write  exams in their own schemes up to the examinations of April 2020 as a transitory provision.

 

Subjects of Study in B. Sc (Mathematics)

 

Semeste r	Parts	Subjects	No.of. Courses	Hours per Six Working Days	Credits	Max Marks
I	I	Tamil Paper I	1	6	3	100
	II	English Paper I	1	6	3	100
	III Core Subjects	1. Calculus	1	5	5	100
		2. Theory of Equations and Trigonometry	1	5	5	100
	Allied Subject I	Physics I	1	6	4	100
	IV Non Major Elective	Fundamentals of Mathematics	1	2	2	100
		Total	6	30	22	600

 

 

 

Semester	Parts	Subjects	No.of. Courses	Hours per Six Working Days	Credits	Max Marks
II	I	Tamil Paper II	1	6	3	100
	II	English Paper II	1	6	3	100
	III Core Subjects	3. Differential Equations	1	5	5	100
		4. Analytical Geometry  of 3D and Vector Calculus	1	5	5	100
	Allied Subject I	Physics II + Practical	2	6	3 + 1	100+ 100
	IV Non Major Elective	Quantitative Aptitude	1	2	2	100
		Total	7	30	22	700

 

 

Semester	Parts	Subjects	No.of. Courses	Hours per Six Working Days	Credits	Max Marks
III	I	Tamil Paper III	1	6	3	100
	II	English Paper III	1	6	3	100
	III Core subject	5. Mechanics	1	6	6	100
	Allied Subject I	Physics III	1	6	4	100
	Allied Subject II	1. Programming in C	1	6	4	100
		Total	5	30	20	500

 

 

Semester	Parts	Subjects	No.of. Courses	Hours per Six Working Days	Credits	Max Marks
	I	Tamil Paper IV	1	6	3	100
	II	English Paper IV	1	6	3	100
	III	6. Basics of Analysis	1	6	6	100
	Core subject
IV	Allied Subject I	Physics IV + Practical	2	6	3 + 1	100+ 100
	Allied	2. Programming in C++	2	6	3 + 1	100+
	Subject II	+ Practical				100
		3. Extension Activities	1		1
		Total	8	30	21	700

 

 

Semester	Parts	Subjects		No.of. Courses	Hours per Six Working Days	Credits	Max Marks
V	III Core Subjects	6.	Modern Algebra	1	5	5	100
		7.	Real Analysis	1	5	5	100
		8.	Fundamentals of Statistics	1	5	5	100
		9.	Operations Research	1	5	5	100
	Allied Subject II	2.	Graph Theory	1	6	4	100
	IV Skill Based Subjects	1.	Fourier Series and Laplace Transform	1	2	2	100
		2.	Environmental Studies	1	2	2	100
		Total		7	30	28	700

 

 

Semester	Parts	Subjects	No.of. Courses	Hours per Six Working Days	Credits	Max Marks
VI	III Core Subjects	10. Linear Algebra	1	5	5	100
		11. Complex Analysis	1	5	5	100
		12. Statistics	1	5	5	100
		13. Elective	1	5	4	100
	Allied Subject II	3. Numerical Methods	1	6	4	100
	IV Skill Based Subjects	3. Logic and Boolean Algebra	1	2	2	100
		4. Value Education	1	2	2	100
		Total	7	30	27	700

 

Syllabus for Core Subjects

Paper 1 – CALCULUS

Objectives:

1. To introduce n^th

2. To introduce curvatures, evolutes and

3. To introduce double and triple integrals. UNIT I

Differentiation: Definition (Only) – Successive differentiation – Trigonometrical transformation – Formation of equations involving derivatives – Leibnitz formula – Meaning of the derivative – Geometrical interpretation – Meaning of the sign of the differential coefficient – Expansion of functions – Taylor’s theorem – Cauchy’s form of remainder – Taylor’s and Maclaurin’s series.