Computational Mathematics and Data Science (M.Sc. - 2yrs)
| 1 |
Foundational Knowledge in Mathematics Apply knowledge of core mathematical concepts, including algebra, calculus, differential equations, real, complex, and numerical analysis, data analysis and probability, basic mathematical statistics, and linear algebra, to solve theoretical and applied problems. |
| 2 |
Problem Solving and Analytical Thinking Identify, formulate, and solve complex mathematical problems using logical reasoning, abstract thinking, and analytical skills. |
| 3 |
Application of Mathematics to Real-World Problems Utilize mathematical models and computational tools to interpret and solve real-life problems in science, engineering, economics, finance, architecture, healthcare, logistics, supply chain management, machine learning, artificial intelligence, and data analysis. |
| 4 |
Use of Modern Tools Employ modern mathematical software and programming languages (like MATLAB, R, SPSS, Python, etc.) for numerical computation, visualization, and simulation of mathematical models. |
| 5 |
Research and Inquiry Skills Develop research aptitude through literature review, mathematical investigations, and independent or collaborative research projects. It emphasizes student-centered approaches where students engage with mathematical concepts through hands-on activities, collaborative learning, and critical thinking, rather than passively receiving information. |
| 6 |
Effective Communication Communicate mathematical ideas clearly and concisely in written, oral, and visual forms, and present complex concepts to both experts and non-specialists. |
| 7 |
Ethics and Professionalism Understand the ethical aspects of mathematical research and applications and act with integrity in academic and professional settings. This includes considerations for research integrity, responsible collaboration, and the ethical implications of mathematical applications in areas like finance, AI, and big data. |
| 8 |
Teamwork and Collaboration Collaborate effectively in interdisciplinary teams to enhance learning and problem-solving. |
| 9 |
Lifelong Learning Recognize the importance of self-directed and lifelong learning in a rapidly evolving mathematical and technological landscape. |
| 10 |
Preparedness for Competitive Examinations and Careers Be well-prepared for national-level competitive exams (e.g., JAM, GATE, NET, CAT, UPSC, etc.), teaching, research, data science, actuarial science, analytics, and other mathematics-related careers. |
| 1 |
Strong Foundation in Mathematical Sciences: Graduates will acquire a strong foundation in pure and applied mathematics, enabling them to analyze, model, and solve complex problems in academics, industry, and research. |
| 2 |
Professional and Academic Excellence Graduates will excel in diverse career paths such as education, research, data science, analytics, finance, actuarial science, and computing, or pursue higher studies in reputed institutions in India and abroad. |
| 3 |
Research and Innovation Graduates will engage in mathematical research, foster innovation, and contribute to scientific and technological development by applying mathematical theories and computational tools. |
| 4 |
Ethical and Social Responsibility Graduates will exhibit ethical responsibility, leadership qualities, and a commitment to sustainable development, making meaningful contributions to society through the responsible use of mathematics |
| 5 |
Lifelong Learning and Adaptability Graduates will engage in lifelong learning, adapt to new technologies, and remain informed about advancements in mathematics and its interdisciplinary applications. |
| Subject Code | Subject Name | L-T-P | Credit | |
|---|---|---|---|---|
| MA4105 | Calculus of Several Variables | 3-1-0 | 4 | Syllabus |
| MA4107 | Linear Algebra | 3-1-0 | 4 | Syllabus |
| MA4201 | Numerical Analysis | 3-1-0 | 4 | Syllabus |
| MA4401 | Discrete Mathematics | 3-1-0 | 4 | Syllabus |
| MA4271 | Scientific Computing Laboratory | 0-0-3 | 2 | Syllabus |
| MA4555 | Special Topics by Industry Experts | 0-0-0 | 1 | Syllabus |
| Subject Code | Subject Name | L-T-P | Credit | |
|---|---|---|---|---|
| MA4108 | Complex Analysis | 3-1-0 | 4 | Syllabus |
| MA4304 | Optimization | 3-1-0 | 4 | Syllabus |
| MA4402 | Finite Automata and Formal Languages | 3-1-0 | 4 | Syllabus |
| MA4204 | Differential Equations | 3-0-0 | 3 | Syllabus |
| MA4302 | Probability and Statistics | 3-0-0 | 3 | Syllabus |
| MA4372 | Statistics Laboratory | 0-0-3 | 2 | Syllabus |
| MA4882 | Seminar and Technical Writing | 0-0-2 | 1 | Syllabus |
| Subject Code | Subject Name | L-T-P | Credit | |
|---|---|---|---|---|
| MA4101 | Real Analysis: Series of Functions and Calculus of Several Variables | 3-1-0 | 4 | Syllabus |
| MA4102 | Measure Theory | 3-1-0 | 4 | Syllabus |
| MA4103 | Complex Analysis - II | 3-1-0 | 4 | Syllabus |
| MA4104 | Algebra: Ring and Field Theory | 3-1-0 | 4 | Syllabus |
| MA4106 | Topology | 3-1-0 | 4 | Syllabus |
| MA4108 | Complex Analysis | 3-1-0 | 4 | Syllabus |
| MA4109 | Topology | 3-1-0 | 4 | Syllabus |
| MA4201 | Numerical Analysis | 3-1-0 | 4 | Syllabus |
| MA4202 | Probability and Statistics | 3-1-0 | 4 | Syllabus |
| MA4204 | Differential Equations | 3-0-0 | 3 | Syllabus |
| MA4208 | Stochastic Process | 3-1-0 | 4 | Syllabus |
| MA4302 | Probability and Statistics | 3-0-0 | 3 | Syllabus |
| MA4304 | Optimization | 3-1-0 | 4 | Syllabus |
| MA4305 | Numerical Analysis - II | 3-1-0 | 4 | Syllabus |
| MA4401 | Discrete Mathematics | 3-1-0 | 4 | Syllabus |
| MA4402 | Finite Automata and Formal Languages | 3-1-0 | 4 | Syllabus |
| MA5101 | Functional Analysis | 3-0-0 | 3 | Syllabus |
| MA5110 | Fourier Analysis | 3-0-0 | 3 | Syllabus |
| MA5111 | Differential Geometry | 3-0-0 | 3 | Syllabus |
| MA5112 | Differential Topology | 3-0-0 | 3 | Syllabus |
| MA5113 | Commutative Algebra | 3-0-0 | 3 | Syllabus |
| MA5114 | Homotopy Theory | 3-0-0 | 3 | Syllabus |
| MA5115 | Rings and Modules | 3-0-0 | 3 | Syllabus |
| MA5116 | Operator Theory | 3-0-0 | 3 | Syllabus |
| MA5117 | Representation Theory | 3-0-0 | 3 | Syllabus |
| MA5118 | Lie Algebra | 3-0-0 | 3 | Syllabus |
| MA5119 | Differential Manifolds | 3-0-0 | 3 | Syllabus |
| MA5121 | Quantum Computation | 3-0-0 | 3 | Syllabus |
| MA5123 | Fractals | 3-0-0 | 3 | Syllabus |
| MA5125 | Graph Theory and Applications | 3-0-0 | 3 | Syllabus |
| MA5128 | Graph Theory | 3-0-0 | 3 | Syllabus |
| MA5129 | Convex Analysis and Variational Analysis | 3-0-0 | 3 | Syllabus |
| MA5142 | Tensor Analysis | 3-0-0 | 3 | Syllabus |
| MA5144 | Algebraic Topology | 3-0-0 | 3 | Syllabus |
| MA5148 | Wavelet Analysis | 3-0-0 | 3 | Syllabus |
| MA5158 | Advance Number Theory | 3-0-0 | 3 | Syllabus |
| MA5222 | Operation Research | 3-0-0 | 3 | Syllabus |
| MA5250 | Probability and Statistics | 3-0-0 | 3 | Syllabus |
| MA5251 | Discrete Mathematics | 3-0-0 | 3 | Syllabus |
| MA5252 | Statistical Inference | 3-0-0 | 3 | Syllabus |
| MA5254 | Sampling Techiques | 3-0-0 | 3 | Syllabus |
| MA5256 | Statistical Decision Theory | 3-0-0 | 3 | Syllabus |
| MA5262 | Optimization | 3-0-0 | 3 | Syllabus |
| MA5301 | Differential Equations | 3-0-0 | 3 | Syllabus |
| MA5302 | Perturbation Theory | 3-0-0 | 3 | Syllabus |
| MA5303 | Partial Differential Equations | 3-0-0 | 3 | Syllabus |
| MA5305 | Integral Equations and Integral Tranforms | 3-0-0 | 3 | Syllabus |
| MA5326 | Fuzzy Logic and Set Theory | 3-0-0 | 3 | Syllabus |
| MA5331 | Mathematical Finance | 3-0-0 | 3 | Syllabus |
| MA5332 | Fluid Dynamics | 3-0-0 | 3 | Syllabus |
| MA5333 | Finite Difference Methods | 3-0-0 | 3 | Syllabus |
| MA5334 | Data Analytics for Finance | 3-0-0 | 3 | Syllabus |
| MA5335 | Portfolio Analysis | 3-0-0 | 3 | Syllabus |
| MA5336 | Computational Finance | 3-0-0 | 3 | Syllabus |
| MA5338 | Advance Mathematical Methods | 3-0-0 | 3 | Syllabus |
| MA5360 | Finite Element Methods | 3-0-0 | 3 | Syllabus |
| MA5401 | Data Structures and Algorithms | 3-0-0 | 3 | Syllabus |
| MA5402 | Numerical Linear Algebra | 3-0-0 | 3 | Syllabus |
| MA5403 | Convex Optimization | 3-0-0 | 3 | Syllabus |
| MA5404 | Optimization for Data Science | 3-0-0 | 3 | Syllabus |
| MA5405 | Fundamentals of Machine Learning | 3-0-0 | 3 | Syllabus |
| MA5406 | Splitting Methods in Data Analysis | 3-0-0 | 3 | Syllabus |
| MA5408 | Number Theory and Cryptography | 3-0-0 | 3 | Syllabus |
| MA5410 | Numerics of Partial Differential Equations | 3-0-0 | 3 | Syllabus |
| MA5412 | Soft Computing | 3-0-0 | 3 | Syllabus |
| MA6633 | Numerical Solutions of ODE and PDE | 3-1-0 | 4 | Syllabus |
| MA4271 | Scientific Computing Laboratory | 0-0-3 | 2 | Syllabus |
| MA4272 | Statistics Laboratory | 1-0-2 | 2 | Syllabus |
| MA4372 | Statistics Laboratory | 0-0-3 | 2 | Syllabus |
| MA4373 | Numerical Methods Laboratory | 0-0-3 | 2 | Syllabus |
| MA4555 | Special Topics by Industry Experts | 0-0-0 | 1 | Syllabus |
| MA4882 | Seminar and Technical Writing | 0-0-2 | 1 | Syllabus |
| MA4991 | Special Topics by Industry Experts | 0-0-0 | 1 | Syllabus |
| Subject Code | Subject Name | L-T-P | Credit | |
|---|---|---|---|---|
| EC3608 | Neural Networks and Deep Learning | 3-0-0 | 3 | Syllabus |
| EE3213 | Semiconductor Fabrication Technology | 2-0-0 | 2 | Syllabus |
| EE6245 | Silicon Solar Cell Technology | 3-0-0 | 3 | Syllabus |
| EE6268 | Energy Storage Systems | 3-0-0 | 3 | Syllabus |
| ER4131 | Mineral Sciences | 3-0-0 | 3 | Syllabus |
| ER4132 | Remote Sensing & GIS | 3-0-0 | 3 | Syllabus |
| ER4134 | Exploration Geophysics | 3-0-0 | 3 | Syllabus |
| ER4220 | Weather Analyses and Forecasting | 3-0-0 | 3 | Syllabus |
| ER4221 | Numerical Weather Prediction | 3-0-0 | 3 | Syllabus |
| ER4231 | Science of Climate and Climate Change | 3-0-0 | 3 | Syllabus |
| ER5121 | Hydrogeology | 3-0-0 | 3 | Syllabus |
| ER5123 | Isotope Geology | 3-0-0 | 3 | Syllabus |
| ER5132 | Remote Sensing & GIS | 3-0-0 | 3 | Syllabus |
| ER5133 | Geophysical Exploration | 3-0-0 | 3 | Syllabus |
| ER5134 | Engineering Geology | 3-0-0 | 3 | Syllabus |
| ER5135 | Geology of Fuels | 3-0-0 | 3 | Syllabus |
| ER5136 | Introduction to Atmosphere and Ocean | 3-0-0 | 3 | Syllabus |
| ER5221 | Numerical Weather Prediction | 3-0-0 | 3 | Syllabus |
| ER5223 | Parameterization of Physical Processes | 3-0-0 | 3 | Syllabus |
| ER5226 | Tropical Meteorology | 3-0-0 | 3 | Syllabus |
| ER5233 | Applied Meteorology | 3-0-0 | 3 | Syllabus |
| ER5237 | Climate Modeling | 3-0-0 | 3 | Syllabus |
| ER5401 | Physics of Atmosphere | 3-0-0 | 3 | Syllabus |
| ER5403 | Dynamics of Atmosphere | 3-0-0 | 3 | Syllabus |
| ER5405 | Physics of Ocean | 3-0-0 | 3 | Syllabus |
| ER5407 | Science of Climate and Climate Change | 3-0-0 | 3 | Syllabus |
| SM5622 | Entrepreneurship and Start-up Ecosystem | 3-0-0 | 3 | Syllabus |
| EA2130 | Disaster and Risk Management | 0-0-1 | 1 | Syllabus |
| ER4262 | Climate Diagnostics Laboratory | 0-0-3 | 2 | Syllabus |
| ER4274 | Satellite Remote Sensing Laboratory | 0-0-3 | 2 | Syllabus |
| ER5263 | Numerical Weather Prediction Laboratory | 0-0-3 | 2 | Syllabus |
| SM5372 | Personality Grooming Lab | 0-0-3 | 2 | Syllabus |
| SM5572 | Business Analytics Laboratory | 0-0-3 | 2 | Syllabus |