Admissions 2021

Academics

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 I
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 II
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 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 III
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 IV
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 VI
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 VII
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 VIII
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 IX
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

General Subjects  Curriculum  Syllabus

You can join this program at
Degree: 
Integrated Degree
School: 
School of Arts and Sciences
Campuses: 
Amritapuri