5 Year Integrated MSc in Mathematics with Minor in Data Sciences

Curriculum

Semester l Semester ll Semester lll Semester lV Semester V Semester Vl Semester Vll Semester Vlll Semester lX Semester X Languages Electives Open Electives

Semester l

Course Code	Course Title	L T P	Credits
22MAT103	Single Variable Calculus	3 1 0	4
22PHY102	Introduction to Mechanics	3 1 0	4
22MAT104	Vectors and Geometry	3 1 0	4
21ENG101	Communicative English	2 0 2	3
22CSA102	Introduction to Programming I	3 0 2	4
	Language I	1 0 2	2
21CUL101	Cultural Education I	2 0 0	2
22MAT181	Mathematics Lab I	0 0 2	1
	Total		24

Semester ll

Course Code	Course Title	L T P	Credits
22MAT113	Multivariable Calculus	3 1 0	4
22MAT114	Ordinary Differential Equations	3 1 0	4
22MAT115	Discrete Mathematics	3 1 0	4
22CSA112	Introduction to Programming II	3 0 2	4
21ENG111	Professional Communication	1 0 2	2
21CUL111	Cultural Education II	2 0 0	2
22MAT182	Mathematics Lab II	0 0 2	1
	Language II	1 0 2	2
22AVP103	Mastery Over Mind	1 0 2	2
	Total		25

Semester lll

Course Code	Course Title	L T P	Credits
22MAT206	Introduction to Linear Algebra	3 1 0	4
22MAT207	Transforms & PDE	3 1 0	4
22MAT208	Introduction to Probability and Statistics	3 1 0	4
22CSA202	Data Structures & Algorithms	3 1 0	4
22MAT283	Computing using R (Lab 1)	0 0 2	1
22MAT284	Mathematics Lab 3	0 0 2	1
22MAT209	Problem solving Session I	0 1 0	1
21AVP201	Amrita Value Programme I	1 0 0	1
	Total		20

Semester lV

Course Code	Course Title	L T P	Credits
22MAT216	Numerical Methods	3 02	4
22MAT217	Introduction to Real Analysis	3 1 0	4
22MAT218	Introduction to Abstract Algebra	3 1 0	4
22MAT219	Statistical Inference	3 1 0	4
22MAT285	Computing Using R (Lab 2)	0 0 2	1
21AVP211	Amrita Value Programme II	1 0 0	1
21ENV200	Environmental Science and sustainability	3 0 0	3
	Total		21

Semester V

Course Code	Course Title	L T P	Credits
22MAT306	Real Analysis	3 1 0	4
22MAT307	Introduction to Complex Analysis	3 1 0	4
22MAT391^@	Open Elective / Live in Lab^@.	3 0 0	3
22MAT308	Operations Research	3 0 2	4
22CSA301	Introduction to Data Science	3 0 2	4
22MAT309	Problem Solving Session II	0 1 0	1
21SSK201	Life Skills I	1 0 2	2
	Total		22

Semester Vl

Course Code	Course Title	L T P	Credits
	Elective 1	3 0 0	3
22MAT316	ODE & Calculus of Variations	3 1 0	4
22MAT317	Optimization Techniques	3 0 2	4
22MAT318	Complex Analysis	3 1 0	4
22CSA311	Introduction to Machine Learning	3 0 2	4
22MAT319	Problem Solving Session III	0 1 0	1
21SSK211	Life skills II	1 0 2	2
	Total		22
	Total (for Exit-option students)	134

Semester Vll

Course Code	Course Title	L T P	Credits
22MAT506	Abstract Algebra	3 1 0	4
22MAT507	Advanced Linear Algebra	3 1 0	4
22MAT508	PDE & Integral Equations	3 1 0	4
	Elective 2	3 0 0	3
22CSA503	Advanced Machine Learning	3 0 2	4
22MAT509	Problem Solving Session IV	0 1 0	1
22MAT590	Seminar	0 0 2	1
21SSK301	Life Skills III	1 0 2	2
	Total		23

Semester Vlll

Course Code	Course Title	L T P	Credits
22MAT515	Measure and Integration	3 1 0	4
22MAT516	Multivariate Statistics	3 0 2	4
	Elective 3	3 0 0	3
22MAT517	Topology	3 1 0	4
	Data Science Elective	3 0 0	3
22MAT519	Problem Solving Session V	0 1 0	1
	Total		19

Semester lX

Course Code	Course Title	L T P	Credits
22MAT604	Functional Analysis	3 1 0	4
	Elective 4	3 0 0	3
22MAT691	Mini Project		6
	Total		13

Semester X

Course Code	Course Title	L T P	Credits
22MAT698	Project		15
	Total		15
	Total	204

* At the end of 6th semester, students who wish to exit the programme may do so on specific request to the concerned Head of the institution.
@ Course code for Live in Lab

Languages

Course Code	Course Title	L T P	Credits	ES
Paper I
21TAM101	Tamil I	1 0 2	2	B
21HIN101	Hindi I	1 0 2	2	B
21MAL101	Malayalam I	1 0 2	2	B
21SAN101	Sanskrit I	1 0 2	2	B

Course Code	Course Title	L T P	Credits	ES
Paper II
21TAM111	Tamil II	1 0 2	2	B
21HIN111	Hindi II	1 0 2	2	B
21MAL111	Malayalam II	1 0 2	2	B
21SAN111	Sanskrit II	1 0 2	2	B

Electives

Course Code	Course Title	L T P	Credits
Mathematics Stream
22MAT541	Commutative Algebra	3 0 0	3
22MAT542	Algebraic Geometry	3 0 0	3
22MAT543	Algebraic Topology	3 0 0	3
22MAT544	Introduction To Coding Theory	3 0 0	3
22MAT545	Lie Algebras	3 0 0	3
22MAT546	Theory Of Manifolds	3 0 0	3
22MAT547	Harmonic Analysis	3 0 0	3
22MAT548	Wavelets Analysis	3 0 0	3
22MAT549	Fixed Point Theory	3 0 0	3
22MAT550	Nonlinear Partial Differential Equations	3 0 0	3
22MAT551	Fractals	3 0 0	3
22MAT552	Differential geometry	3 0 0	3
Computer Science Stream
22MAT561	Advanced Data Structures And Algorithms	3 0 0	3
22MAT562	Fuzzy Sets And Its Applications	3 0 0	3
22MAT563	Graph Theory	3 0 0	3
22MAT564	Advanced Graph Theory	3 0 0	3
22MAT565	Introduction To Soft Computing	3 0 0	3
22MAT566	Computer Aided Design Of VlSI Circuits	3 0 0	3
22MAT567	Cryptography	3 0 0	3
22MAT568	Formal Languages And Automata Theory	3 0 0	3
22MAT569	Algorithms For Advanced Computing	3 0 0	3
Statistics Stream
22MAT570	Stochastic Processes	3 0 0	3
22MAT571	Sampling Theory	3 0 0	3
22MAT572	Principles Of Experimental Design	3 0 0	3
22MAT573	Statistical Quality Control And Six Sigma Quality Analysis	3 0 0	3
22MAT574	Statistical Pattern Classifications	3 0 0	3
22MAT575	Time Series Analysis	3 0 0	3
22MAT576	Queuing Theory And Inventory Control	3 0 0	3
22MAT577	Regression Analysis	3 0 0	3
22MAT578	Bayesian Statistics	3 0 0	3
22MAT579	Actuarial Statistics	3 0 0	3
Data Science Elective
22CSC531	Advanced Topics in Deep Learning	3 0 0	3
22CSC532	Advanced Topics in Machine Learning	3 0 0	3
22CSC533	Data Base Management for Big Data	3 0 0	3
22CSC534	Data Visualization	3 0 0	3

Open Electives

Course Code	Course Title	L T P	Credits	ES
21OEL231	A Journey towards Free India	3 0 0	3	J
21OEL232	Political Leadership	3 0 0	3	J
21OEL233	Social issues in Contemporary India	3 0 0	3	J
21OEL234	The Story of Indian Business	3 0 0	3	J
21OEL235	Industrial Psychology	3 0 0	3	J
21OEL236	Advertising	3 0 0	3	J
21OEL237	Basic Statistics	3 0 0	3	J
21OEL238	Citizen Journalism	3 0 0	3	J
21OEL239	Creative Writing for Beginners	3 0 0	3	J
21OEL240	Desktop Support and Services	3 0 0	3	J
21OEL241	Development Journalism	3 0 0	3	J
21OEL242	Digital Photography	3 0 0	3	J
21OEL243	Emotional Intelligence	3 0 0	3	J
21OEL244	Essence of Spiritual Literature	3 0 0	3	J
21OEL245	Film Theory	3 0 0	3	J
21OEL246	Fundamentals of Network Administration	3 0 0	3	J
21OEL247	Gender Studies	3 0 0	3	J
21OEL248	Glimpses of Indian Economy and Polity	3 0 0	3	J
21OEL249	Graphics and Web-designing Tools	3 0 0	3	J
21OEL250	Green Marketing	3 0 0	3	J
21OEL251	Healthcare and Technology	3 0 0	3	J
21OEL252	History of English Literature	3 0 0	3	J
21OEL253	Indian Writing in English	3 0 0	3	J
21OEL254	Industrial Relations and Labour Welfare	3 0 0	3	J
21OEL255	Introduction to Ancient Indian Yogic and Vedic Wisdom	3 0 0	3	J
21OEL256	Introduction to Computer Hardware	3 0 0	3	J
21OEL257	Introduction to Event Management	3 0 0	3	J
21OEL258	Introduction to Media	3 0 0	3	J
21OEL259	Introduction to Right to Information Act	3 0 0	3	J
21OEL260	Introduction to Translation	3 0 0	3	J
21OEL261	Linguistic Abilities	3 0 0	3	J
21OEL262	Literary Criticism and Theory	3 0 0	3	J
21OEL263	Macro Economics	3 0 0	3	J
21OEL264	Managing Failure	3 0 0	3	J
21OEL265	Media Management	3 0 0	3	J
21OEL266	Micro Economics	3 0 0	3	J
21OEL267	Micro Finance, Small Group Management and Cooperatives	3 0 0	3	J
21OEL268	Negotiation and Counselling	3 0 0	3	J
21OEL269	New Literatures	3 0 0	3	J
21OEL270	Non-Profit Organization	3 0 0	3	J
21OEL271	Personal Effectiveness	3 0 0	3	J
21OEL272	Perspectives in Astrophysics and Cosmology	3 0 0	3	J
21OEL273	Principles of Marketing	3 0 0	3	J
21OEL274	Principles of Public Relations	3 0 0	3	J
21OEL275	Science, Society and Culture	3 0 0	3	J
21OEL276	Statistical Analysis	3 0 0	3	J
21OEL277	Teamwork and Collaboration	3 0 0	3	J
21OEL278	The Message of Bhagwad Gita	3 0 0	3	J
21OEL279	Understanding Travel and Tourism	3 0 0	3	J
21OEL280	Videography	3 0 0	3	J
21OEL281	Vistas of English Literature	3 0 0	3	J
21OEL282	Web-Designing Techniques	3 0 0	3	J
21OEL283	Organic Farming	3 0 0	3	J
21OEL284	Basic Legal Awareness on Protection of Women and Rights	3 0 0	3	J
21OEL285	Ritual Performances of Kerala	3 0 0	3	J
21OEL286	Documenting Social Issues	3 0 0	3	J
21OEL287	Fabrication of Advanced Solar Cell	3 0 0	3	J
21OEL288	Basic Concepts of X-ray Diffraction	3 0 0	3	J
21OEL289	Introduction to FORTRAN and GNUPLOT	3 0 0	3	J
21OEL290	Introduction to Porous Materials	3 0 0	3	J
21OEL291	Forensic Science	3 0 0	3	J
21OEL292	Introduction to solar Physics	3 0 0	3	J
21OEL293	Recycling Recovery and Treatment Methods for Wastes	3 0 0	3	J
21OEL294	Acting and Dramatic Presentation	2 0 2	3	J
21OEL295	Computerized Accounting	2 0 2	3	J
21OEL296	Kerala Mural Art and Painting	2 0 2	3	J
21OEL297	Painting	2 0 2	3	J
21OEL298	Reporting Rural Issues	3 0 0	3	J

Program Overview

Programme Outcomes (PO)

PO₁. Knowledge in Mathematical Science: Understand the basic concepts, fundamental principles and the scientific theories related to mathematical sciences.

PO₂. Abstract thinking: Ability to absorb and understand the abstract concepts that lead to various advanced theories in mathematical sciences.

PO₃. Modelling and solving: Ability in modelling and solving problems by identifying and employing the appropriate existing theories and methods.

PO₄. Design/development of solutions: Design solutions for complex problems and processes that meet the specified needs with appropriate consideration for the public health and safety, and the cultural, societal, and environmental considerations.

PO₅. Conduct investigations of complex problems: Use research-based knowledge and research methods including design of experiments, analysis and interpretation of data, and synthesis of the information to provide valid conclusions.

PO₆. Modern tool usage: Create, select, and apply appropriate techniques, resources, and modern tools including prediction and modelling to complex mathematical, analytic and computational activities with an understanding of the limitations.

PO₇. Environment and sustainability: Understand the significance of preserving the environment towards sustainable development.

PO₈. Ethics: Imbibe ethical, moral and social values in personal and social life leading to highly cultured and civilized personality. Continue to enhance the knowledge and skills in mathematical sciences for constructive activities and demonstrate highest standards of professional ethics.

PO₉. Individual and team work: Function effectively as an individual, and as a member or leader in diverse teams, and in multidisciplinary settings.

PO₁₀. Communication: Develop various communication skills such as reading, listening, and speaking which will help in expressing ideas and views clearly and effectively.

PO₁₁.Project management and Research: Demonstrate knowledge, understand the scientific and management principles and apply these to one’s own work, as a member/ leader in a team to manage projects and multidisciplinary research environments. Also use the research-based knowledge to analyse and solve advanced problems in mathematical sciences.

PO₁₂.Life-long learning: Recognize the need for, and have the preparation and ability to engage in independent and life-long learning in the broadest context of technological change.

Selection

Selection (Amritapuri)

Selection will be based only on Entrance test or interview scores

Salient Features of the Programme

The 5-year Integrated MSc Mathematics with Minor in Data as its major subject and Data Science as its minor subject..
Also, the student has an option to exit with a BSc Mathematics with Minor in Data Science degree at the end of the 3rd year.
After completing the programme, students will be able to enter directly into a Ph.D. programme
The approach in the degree is characterized by mathematical rigor, combined with applications relevant to provide the tools, which analyze and develop new techniques in data science, machine learning, and artificial intelligence for a minor degree in Data Science. Also the programme covers all aspects of Computer Science right from the fundamentals of Computer programming to database systems, Advanced programming skills, Design and analysis of algorithms, etc. It aims to prepare graduates for employment in application areasthat require substantial input from these two disciplines.
The programme specially designed for students seeking a career in Data Science/ Computer Science.

Course Highlights

Combining theoretical and practical principles, the Int.MSc degree will develop analytical knowledge and technical skills and enable students to apply Mathematics to solve real-life challenges.
Modules that teach techniques from machine learning and artificial intelligence, advanced programming skills, design and analysis of algorithms, etc. apart from pure and applied Mathematics
Throughout the degree, there will be scope to develop programming and software skills, as well as learn new skills within a work environment through placement opportunities
The project-based assessment will give a practical education and prepare them to apply their mathematical skills to one of the top emerging job sectors like Computer Science/Data Science
Summer internship opportunities enable them to get industrial exposure
15 credits project in the final semester allows the students to demonstrate the accumulation of knowledge to develop a significant piece of research work.
Additionally, as Mathematics graduates, a student can pursue their careers in academics as well in research labs and in leading industries including IT, finance, and also government sectors.

How To Apply

Registration for admission 2022 is fully online. Candidates are required to have their recent photograph, online payment credentials, etc. to be ready to complete the online application process.
Application fee of Rs. 750/-

The NRI applicants please email to nriadmission@amrita.edu and not be applied through the website.

Management Quota option in Amrita Online Application Portal (AOAP)
‘Candidates can also submit the option in Step 2 of the application process, in case if they wish to be considered under management quota.’

Examination Details