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 | 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 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 |
