M. Sc. in Mathematics - Amrita Vishwa Vidyapeetham

Overview

The two year MSc Mathematics programme is intended to provide students with a comprehensive understanding of theoretical, analytical, and research-oriented approaches. The program’s objective is to give students a solid foundation in all recognised mathematical canons that are addressed in the course material. It complies with the UGC Regulations’ and the University’s regulations’ requirements for a choice-based credit system. Prior to submitting a dissertation report and publishing a SCOPUS paper based on their research, students are required to complete a project of their choice during the final semester. During this project, they can choose a topic of interest and learn the principles of performing academic research. This aids students in understanding the varying viewpoints of mathematical study. In order to develop students into true mathematicians, the programme attempts to enhance their analytical skills, research thinking, and investigation.

Programme Duration: 2 years (4 Semesters)

Dates to note

08 Feb

Commencement of Application form(Kochi Campus)

Curriculum

Semester I Semester II Semester III Semester IV Algebra Stream Analysis Stream Statistics Stream Differential Equations and Its Applications Stream Computer Stream

Semester I

Course Code	Course Title	L T P	Cr	ES
22MAT501	Advanced Algebra	3 1 0	4	A
22MAT502	Advanced Real Analysis	3 1 0	4	B
22MAT503	Ordinary Differential Equations	3 0 2	4	C
22MAT504	Functional Analysis-I	3 1 0	4	C
22MAT581	Mathematics Lab	0 0 2	1	L1
22MAT505	Data Structures and Algorithms	3 0 2	4	E
21CUL501	Cultural Education	2 0 0	P/F

	Total		21

Semester II

Course Code	Course Title	L T P	Cr	ES
22MAT511	Advanced Complex Analysis	3 1 0	4	A
22MAT512	Advanced Topology	3 1 0	4	A
22MAT513	Partial Differential Equations	3 0 2	4	B
22MAT514	Measure Theory	4 0 0	4	C
	Elective I	3 0 0	3	E
	Elective II	3 0 0	3	L
21AVP501	Amria Value Programme	1 0 0	1
22AVP103	Mastery Over Mind	1 0 2	2
	Total		25

Semester III

Course Code	Course Title	L T P	Cr	ES
22MAT601	Advanced Graph Theory	3 0 2	4	A
22MAT602	Functional Analysis-II	3 1 0	4	B
22MAT603	Mathematical Foundations of Incompressible Fluid Flow	3 1 0	4	C
	Elective III	3 0 0	3	D
	Elective IV	3 0 0	3	E
	Elective V	3 0 0	3	F
22MAT690	Seminar	0 0 2	1	G
	Total		22

Semester IV

Course Code	Course Title	L T P	Cr	ES
	Elective VI	3 0 0	3	E
22MAT699	Dissertation		10	P
	Total		13

	Total	81

Algebra Stream

Course Code	Course Title	L T P	Cr	ES
22MAT631	Algebraic Geometry	3 0 0	3	D/E
22MAT632	Algebraic Topology	3 0 0	3	D/E
22MAT633	Commutative Algebra	3 0 0	3	D/E
22MAT634	Finite Field	3 0 0	3	D/E
22MAT635	Information and Coding Theory	3 0 0	3	D/E
22MAT636	Lie Algebra	3 0 0	3	D/E
22MAT637	Linear Algebra (for M.Sc students)	3 0 0	3	D/E
22MAT638	Representation Theory	3 0 0	3	D/E
22MAT639	Semi group Theory	3 0 0	3	D/E
22MAT640	Theory of Manifolds	3 0 0	3	D/E

Analysis Stream

Course Code	Course Title	L T P	Cr	ES
22MAT641	Fixed Point Theory	3 0 0	3	D/E
22MAT642	Fractals	3 0 0	3	D/E
22MAT643	Harmonic Analysis	3 0 0	3	D/E
22MAT644	Nonlinear Partial Differential Equations	3 0 0	3	D/E
22MAT645	Wavelet Analysis	3 0 0	3	D/E
22MAT646	Mathematical Physics	3 0 0	3	D/E
22MAT647	Operator Theory	3 0 0	3	D/E
22MAT648	Fourier transform and Distribution Theory	3 0 0	3	D/E

Statistics Stream

Course Code	Course Title	L T P	Cr	ES
22MAT671	Queuing Theory and Inventory Control Theory	3 0 0	3	D/E
22MAT672	Statistical Pattern Classifications	3 0 0	3	D/E
22MAT673	Statistical Quality Control and Six Sigma Quality Analysis	3 0 0	3	D/E
22MAT674	Theory of Sampling and Design of Experiments	3 0 0	3	D/E
22MAT675	Time Series Analysis	3 0 0	3	D/E
22MAT676	Statistical Techniques For Data Analytics	3 0 0	3	D/E
22MAT677	Mathematical Finance	3 0 0	3	D/E

Differential Equations and Its Applications Stream

Course Code	Course Title	L T P	Cr	ES
22MAT651	Advance Boundary Layer Theory	3 0 0	3	D/E
22MAT652	Computational Fluid Dynamics	3 0 0	3	D/E
22MAT653	Finite Element Method	3 0 0	3	D/E
22MAT654	Magneto-Hydro Dynamics	3 0 0	3	D/E
22MAT655	Advanced Numerical Analysis	3 0 0	3	D/E
22MAT656	Hemodynamics	3 0 0	3	D/E
22MAT657	Stochastic Differential Equations	3 0 0	3	D/E
22MAT658	Singular Perturbation Theory	3 0 0	3	D/E
22MAT659	Nonlinear Dynamics and Chaos	3 0 0	3	D/E

Computer Stream

Course Code	Course Title	L T P	Cr	ES
22MAT660	Machine Learning	3 0 0	3	D/E
22MAT661	Algorithms For Advanced Computing	3 0 0	3	D/E
22MAT662	Computer Aided Design for VLSI Circuits	3 0 0	3	D/E
22MAT663	Cryptography	3 0 0	3	D/E
22MAT664	Fuzzy Sets and its Applications	3 0 0	3	D/E
22MAT665	Introduction to Soft Computing	3 0 0	3	D/E
22MAT666	Object-Oriented Programming and Python	3 0 0	3	D/E
22MAT667	Graph Analytics and Applications	3 0 0	3	D/E
22MAT668	Social Network Analysis	3 0 0	3	D/E
22MAT669	Computer Aided Drug Design	3 0 0	3	D/E
22MAT670	Evolutionary Game Dynamics	3 0 0	3	D/E

Fee Structure

Coimbatore

Program Fees for the year 2022-2023

Tuition Fees

Annual

Caution Deposit

One Time

Total

90,500

10,000

1,00,500

Hostel & Mess Fee for the year 2022-23
CAMPUS	Caution Deposit (ONE TIME)	HOSTEL FEE PER YEAR	MESS FEE PER YEAR
Coimbatore	10,000	52,000	56,000

Kochi

Fee Structure (Semester Wise)

Regular Fees: Rs. 43,900
Caution Deposit: Rs. 3000

Scholarship Fees

Slab 1 – Rs. 21,950
Slab 2 – Rs. 26,340

About Amrita Vishwa Vidyapeetham

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Overview

Dates to note

Admission

Coimbatore

Eligibility

Admission process

Kochi

Eligibility

Curriculum

Fee Structure

Fee Structure (Semester Wise)

Scholarship Fees

Year-wise Curriculum & Syllabus

Facilities at a glance

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