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Program overview

The 5-year Integrated Mathematics Program with Minor in Data Sciences represents a new direction towards an integrated approach to Mathematics that combines Pure and Applied Mathematics with Data Analytics and Computation.

In addition to learning the basic and advanced courses in Pure Mathematics up to Masters level, Students also learn a combination of Modelling, Analytics, and Computing. This unique combination significantly enhances the job prospects, as well as qualifying exams like CSIR-NET, GATE etc, for the students. Our innovative program enables the students to pursue their career in academics as well in research labs, leading industries, and government sector.

Interested students will be able to pursue summer internship opportunities. Graduates will be well equipped to pursue their dreams vis-à-vis higher education and research or employment. Employment opportunities will be in the Government Sector like National Research Labs, Space, and Defence Research Organisations, as well as in the booming Data Science market in both private and public sectors.

About

The 5-year Integrated Mathematics Program with Minor in Data Sciences represents a new direction towards an integrated approach to Mathematics that combines Pure and Applied Mathematics with Data Analytics and Computation.

In addition to learning the basic and advanced courses in Pure Mathematics up to Masters level, Students also learn a combination of Modelling, Analytics, and Computing. This unique combination significantly enhances the job prospects, as well as qualifying exams like CSIR-NET, GATE etc, for the students. Our innovative program enables the students to pursue their career in academics as well in research labs, leading industries, and government sector.

Interested students will be able to pursue summer internship opportunities. Graduates will be well equipped to pursue their dreams vis-à-vis higher education and research or employment. Employment opportunities will be in the Government Sector like National Research Labs, Space, and Defence Research Organisations, as well as in the booming Data Science market in both private and public sectors.

Curriculum

Semester l
Course Code Course Title L T P Cr ES
18MAT107 Single Variable Calculus 3 1 0 4
18PHY105 Introduction to Mechanics 3 1 0 4
18MAT108 Vectors and Geometry 3 1 0 4
18ENG101 Communicative English 2 0 2 3
18CSA102 Introduction to Programming 1 3 0 2 4
Language 1 1 0 2 2
18CUL101 Cultural Education 1 2 0 0 2
18MAT181 Mathematics Lab 1 0 0 2 1
Total 24
Semester ll
Course Code Course Title L T P Cr ES
18MAT121 Multivariable Calculus 3 1 0 4
18MAT123 Ordinary Differential Equations 3 1 0 4
18MAT124 Discrete Mathematics 3 1 0 4
18CSA112 Introduction to Programming 2 3 0 2 4
18ENG121 Professional Communication 1 0 2 2
18CUL111 Cultural Education 2 2 0 0 2
18MAT182 Mathematics Lab 2 0 0 2 1
Language 2 1 0 2 2
Total 23
Semester lll
Course Code Course Title L T P Cr ES
18MAT209 Linear Algebra 1 3 1 0 4
18MAT210 Transforms & PDE 3 1 0 4
18MAT205 Introduction to Probability and Statistics 3 1 0 4
18CSA209 Data Structures & Algorithms 3 1 0 4
18ENV300 Environmental Science and sustainability 3 0 0 3
18MAT283 Computing using R (Lab 1) 0 0 2 1
18MAT284 Mathematics Lab 3 0 0 2 1
18AVP201 Amrita Value Programme 1 1 0 0 1
Total 22
Semester lV
Course Code Course Title L T P Cr ES
18MAT225 Numerical Methods 3 1 0 4
18MAT218 Real Analysis 1 3 1 0 4
18MAT223 Abstract Algebra 1 3 1 0 4
18MAT216 Statistical Inference 3 1 0 4
18MAT285 Python Lab for Numerical Methods 0 0 2 1
18MAT286 Computing Using R (Lab 2) 0 0 2 1
18AVP211 Amrita Value Programme 2 1 0 0 1
18SSK201 Life Skills 1 1 0 2 2
Total 21
Semester V
Course Code Course Title L T P Cr ES
18MAT305 Real Analysis 2 3 1 0 4
18MAT304 Complex Analysis 1 3 1 0 4
18MAT390 Open Elective / Live in Lab 3 0 0 3
18MAT310 Operations Research 3 1 0 4
18CSA308 Machine Learning 1 3 1 0 4
18MAT383 OR Lab 0 0 2 1
18CSA386 Machine Learning Lab 1 0 0 2 1
18SSK211 Life Skills 2 1 0 2 2
Total 23
Semester Vl
Course Code Course Title L T P Cr ES
18MAT317 Linear Algebra 2 3 1 0 4
18MAT318 ODE & Calculus of Variations 3 1 0 4
18MAT319 Optimization Techniques 3 1 0 4
18MAT315 Complex Analysis 2 3 1 0 4
18CSA316 Machine Learning 2 3 1 0 4
18CSA387 Machine Learning Lab 2 0 0 2 1
18MAT382 Optimization Lab 0 0 2 1
Total 22
Semester Vll
Course Code Course Title L T P Cr ES
18MAT507 Abstract Algebra 2 3 1 0 4
18MAT508 Real Analysis 3 3 1 0 4
18MAT506 Topology 3 1 0 4
18MAT509 Multivariate Statistics 3 1 0 4
18CSA506 Data Visualization 3 0 2 4
18CSA581 Computing Using R (Lab 3) 0 0 2 1
18MAT591 Seminar
Total 21
Semester Vlll
Course Code Course Title L T P Cr ES
18MAT516 Measure and Integration 3 1 0 4
18MAT517 Stochastic Processes 3 1 0 4
18MAT519 Functional Analysis 3 1 0 4
18MAT518 PDE & Integral Equations 3 1 0 4
18CSA511 Database Management for Big Data 3 1 0 4
18CSA582 Computing Using R (Lab 4) 0 0 2 1
Total 21
Semester lX
Course Code Course Title L T P Cr ES
Elective 1 3 0 0 3
Elective 2 3 0 0 3
18MAT692 Mini Project 6
Total 12
Semester X
Course Code Course Title L T P Cr ES
18MAT697 Project 15
Total 15
Total 206
Languages
Paper I
Course Code Course Title L T P Cr ES
18HIN101 Hindi I 1 0 2 2
18KAN101 Kannada I 1 0 2 2
18MAL101 Malayalam I 1 0 2 2
18SAN101 Sanskrit I 1 0 2 2
Paper II
Course Code Course Title L T P Cr ES
18HIN111 Hindi I 1 0 2 2
18KAN111 Kannada I 1 0 2 2
18MAL111 Malayalam I 1 0 2 2
18SAN111 Sanskrit I 1 0 2 2
Electives
Course Code Course Title L T P Cr
18HINT633 Algebraic Topology 3 0 0 3
18KAN635 Commutative Algebra 3 0 0 3
18MAL660 Graph Theory 3 0 0 3
18SAN667 Differential Geometry 3 0 0 3
18SAN668 Advanced Complex Analysis 3 0 0 3
18MAT669 Analytic Number Theory 3 0 0 3
18CSA678 Advanced topics in Machine learning 3 0 0 3
18CSA679 Advanced topics in Deep learning 3 0 0 3
Open Electives
Course Code Course Title L T P Cr ES
18OEL231 Advertising 3 0 0 3 J
18OEL232 Basic Statistics 3 0 0 3 J
18OEL233 Citizen Journalism 3 0 0 3 J
18OEL234 Creative Writing for Beginners 3 0 0 3 J
18OEL235 Desktop Support and Services 3 0 0 3 J
18OEL236 Development Journalism 3 0 0 3 J
18OEL237 Digital Photography 3 0 0 3 J
18OEL238 Emotional Intelligence 3 0 0 3 J
18OEL239 Essence of Spiritual Literature 3 0 0 3 J
18OEL240 Film Theory 3 0 0 3 J
18OEL241 Fundamentals of Network Administration 3 0 0 3 J
18OEL242 Gender Studies 3 0 0 3 J
18OEL243 Glimpses of Indian Economy and Polity 3 0 0 3 J
18OEL244 Graphics and Web-designing Tools 3 0 0 3 J
18OEL245 Green Marketing 3 0 0 3 J
18OEL246 Healthcare and Technology 3 0 0 3 J
18OEL247 History of English Literature 3 0 0 3 J
18OEL248 Indian Writing in English 3 0 0 3 J
18OEL249 Industrial Relations and Labour Welfare 3 0 0 3 J
18OEL250 Introduction to Ancient Indian Yogic and Vedic Wisdom 3 0 0 3 J
18OEL251 Introduction to Computer Hardware 3 0 0 3 J
18OEL252 Introduction to Event Management 3 0 0 3 J
18OEL253 Introduction to Media 3 0 0 3 J
18OEL254 Introduction to Right to Information Act 3 0 0 3 J
18OEL255 Introduction to Translation 3 0 0 3 J
18OEL256 Linguistic Abilities 3 0 0 3 J
18OEL257 Literary Criticism and Theory 3 0 0 3 J
18OEL258 Macro Economics 3 0 0 3 J
18OEL259 Managing Failure 3 0 0 3 J
18OEL260 Media Management 3 0 0 3 J
18OEL261 Micro Economics 3 0 0 3 J
18OEL262 Micro Finance, Small Group Management and Cooperatives 3 0 0 3 J
18OEL263 Negotiation and Counselling 3 0 0 3 J
18OEL264 New Literatures 3 0 0 3 J
18OEL265 Non-Profit Organization 3 0 0 3 J
18OEL266 Personal Effectiveness 3 0 0 3 J
18OEL267 Perspectives in Astrophysics and Cosmology 3 0 0 3 J
18OEL268 Principles of Marketing 3 0 0 3 J
18OEL269 Principles of Public Relations 3 0 0 3 J
18OEL270 Science, Society and Culture 3 0 0 3 J
18OEL271 Statistical Analysis 3 0 0 3 J
18OEL272 Teamwork and Collaboration 3 0 0 3 J
18OEL273 The Message of Bhagwad Gita 3 0 0 3 J
18OEL274 Understanding Travel and Tourism 3 0 0 3 J
18OEL275 Videography 3 0 0 3 J
18OEL276 Vistas of English Literature 3 0 0 3 J
18OEL277 Web-Designing Techniques 3 0 0 3 J
18OEL278 Organic Farming 3 0 0 3 J
18OEL279 Basic Legal Awareness on Protection of Women and Rights 3 0 0 3 J
18OEL280 Ritual Performances of Kerala 3 0 0 3 J
18OEL281 Documenting Social Issues 3 0 0 3 J
18OEL282 Fabrication of Advanced Solar Cell 3 0 0 3 J
18OEL283 Basic Concepts of X-ray Diffraction 3 0 0 3 J
18OEL284 Introduction to FORTRAN and GNUPLOT 3 0 0 3 J
18OEL285 Introduction to Porous Materials 3 0 0 3 J
18OEL286 Forensic Science 3 0 0 3 J
18OEL287 Introduction to solar Physics 3 0 0 3 J
18OEL288 Recycling Recovery and Treatment Methods for Wastes 3 0 0 3 J
18OEL289 Acting and Dramatic Presentation 2 0 2 3 J
18OEL290 Computerized Accounting 2 0 2 3 J
18OEL291 Kerala Mural Art and Painting 2 0 2 3 J
18OEL292 Painting 2 0 2 3 J
18OEL293 Reporting Rural Issues 3 0 0 3 J
List of Elective Courses at the PG level
Course Code Course Title L T P Cr
Mathematics Stream
18MAT635 Commutative Algebra 3 0 0 3
18MAT731 Algebraic Geometry 3 0 0 3
18MAT633 Algebraic Topology 3 0 0 3
18MAT732 Introduction To Coding Theory 3 0 0 3
18MAT733 Lie Algebras 3 0 0 3
18MAT734 Theory of  Manifolds 3 0 0 3
18MAT735 Harmonic Analysis 3 0 0 3
18MAT736 Wavelets Analysis 3 0 0 3
18MAT737 Fixed Point Theory 3 0 0 3
18MAT738 Nonlinear Partial Differential Equations 3 0 0 3
18MAT739 Fractals 3 0 0 3
Statistics Stream
18MAT741 Sampling Theory 3 0 0 3
18MAT742 Principles of  Experimental Design 3 0 0 3
18MAT743 Statistical Quality Control and Six Sigma Quality Analysis 3 0 0 3
18MAT744 Statistical Pattern Classifications 3 0 0 3
18MAT745 Time Series Analysis 3 0 0 3
18MAT746 Queuing Theory and Inventory Control 3 0 0 3
18MAT747 Regression Analysis 3 0 0 3
18MAT748 Bayesian Statistics 3 0 0 3
18MAT749 Actuarial Statistics 3 0 0 3
Computer Science Stream
18CSA651 Advanced Data Structures and Algorithms 3 0 0 3
18CSA652 Fuzzy Sets and Its Applications 3 0 0 3
18CSA653 Advanced Graph Theory 3 0 0 3
18CSA654 Introduction To Soft Computing 3 0 0 3
18CSA655 Computer Aided Design of VLSI Circuits 3 0 0 3
18CSA656 Cryptography 3 0 0 3
18CSA657 Formal Languages and Automata Theory 3 0 0 3
18CSA658 Algorithms For Advanced Computing 3 0 0 3
Eligibility

Admission

Eligibility

60% marks for Mathematics and an aggregate of 50% marks in plus Two Level.

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.

Fee Structure

To be updated

Program Fees for the year 2019-2021
Campus Tuition Fees
per sem
Tuition Fees
Total
Hostel & Mess
Per Year
Amritapuri * * *

Why Amrita

601-800th

World University Rankings 2020

141

BRICS Rankings 2020

801–1000th

World University Rankings 2020

168th

BRICS University Rankings 2020

5th

India University Rankings 2020

12th

Overall Rankings 2020
ranking
5th Best
University in India
ranking
Amrita Ranked No.1 in India Top 100 in The World
ranking
Topmost
‘A++’ Grade
Admissions Apply Now