National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

An Institute of National Importance

Curriculum

Mathematics (M.Sc. - 2yrs)

Subject Code Subject Name L-T-P Credit
MA4103 Complex Analysis - II 3-1-0 4 Syllabus
MA4105 Calculus of Several Variables 3-1-0 4 Syllabus
MA4107 Linear Algebra 3-1-0 4 Syllabus
MA4305 Numerical Analysis - II 3-1-0 4 Syllabus
MA4373 Numerical Methods Laboratory 0-0-3 2 Syllabus

Subject Code Subject Name L-T-P Credit
MA4102 Measure Theory 3-1-0 4 Syllabus
MA4104 Algebra: Ring and Field Theory 3-1-0 4 Syllabus
MA4106 Topology 3-1-0 4 Syllabus
MA4202 Probability and Statistics 3-1-0 4 Syllabus
MA4272 Statistics Laboratory 1-0-2 2 Syllabus

Subject Code Subject Name L-T-P Credit
MA5101 Functional Analysis 3-0-0 3 Syllabus
MA5301 Differential Equations 3-0-0 3 Syllabus
MA5993 Research Project - I 0-0-0 6 Syllabus
MA5881 Seminar and Technical Writing 0-0-3 2 Syllabus
Professional Elective - I
Professional Elective - II
MA5991 Summer Internship and Research Experience 0-0-0 0 Syllabus

Subject Code Subject Name L-T-P Credit
MA5994 Research Project - II 0-0-0 8 Syllabus
MA5992 Comprehensive Viva Voce 0-0-0 2 Syllabus
Professional Elective - III
Professional Elective - IV
Professional Elective - V

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
MA4107 Linear Algebra 3-1-0 4 Syllabus
MA4202 Probability and Statistics 3-1-0 4 Syllabus
MA4208 Stochastic Process 3-1-0 4 Syllabus
MA4305 Numerical Analysis - II 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
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
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
MA5303 Partial Differential Equations 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
MA5338 Advance Mathematical Methods 3-0-0 3 Syllabus
MA5360 Finite Element Methods 3-0-0 3 Syllabus
MA6103 Advanced Complex Analysis 3-1-0 4 Syllabus
MA6107 Advanced Linear Algebra 3-1-0 4 Syllabus
MA6305 Advanced Numerical Analysis 3-1-0 4 Syllabus
MA6611 Analysis 3-1-0 4 Syllabus
MA6612 Algebra 3-1-0 4 Syllabus
MA6613 Functional Analysis with Applications 3-1-0 4 Syllabus
MA6619 Topology 3-0-0 3 Syllabus
MA6621 Probability and Statistics 3-0-0 3 Syllabus
MA6622 Sampling Techniques with Applications 3-0-0 3 Syllabus
MA6623 Advanced Number Theory 3-1-0 4 Syllabus
MA6625 Stochastic Processes 3-0-0 3 Syllabus
MA6628 Measure Theory 3-0-0 3 Syllabus
MA6629 Advanced Statistical Methods 3-1-0 4 Syllabus
MA6631 Advanced Fluid Dynamics 3-1-0 4 Syllabus
MA6633 Numerical Solutions of ODE and PDE 3-1-0 4 Syllabus
MA6634 Mathematical Methods 3-1-0 4 Syllabus
MA6645 Group Theory and its Application 3-1-0 4 Syllabus
MA6647 Abstract Algebras with its Application 3-1-0 4 Syllabus
MA6652 Statistical Inference 3-0-0 3 Syllabus
MA6655 Mathematical Techniques for Data Analysis 3-0-0 3 Syllabus
MA4272 Statistics Laboratory 1-0-2 2 Syllabus
MA4373 Numerical Methods Laboratory 0-0-3 2 Syllabus

Subject Code Subject Name L-T-P Credit
CS1002 Programming Fundamentals 2-0-0 2 Syllabus
CS3063 Object Oriented System Design 3-0-0 3 Syllabus
CS3064 Foundations of Data Science 3-0-0 3 Syllabus
CS4064 AI in Healthcare 3-0-0 3 Syllabus
CS4065 Machine Learning for Non-Programmers 3-0-0 3 Syllabus
CS4066 Programming for Machine Learning 3-0-0 3 Syllabus
CS4067 Principles of Soft Computing 3-0-0 3 Syllabus
CS4213 Cybersecurity for Cyber Physical Systems 3-0-0 3 Syllabus
CS4214 Data Acquisition and Signal Processing 3-0-0 3 Syllabus
CS6659 Number Theory and Cryptography 3-0-0 3 Syllabus
EE2003 Electrical Measurement and Instrumentation 3-0-0 3 Syllabus
EE2202 Power Electronics 3-0-0 3 Syllabus
EE2401 Network Theory 3-0-0 3 Syllabus
EE3004 Electromagnetic Field Theory 3-0-0 3 Syllabus
EE3100 Power Systems Operation and Control 3-0-0 3 Syllabus
EE3112 Power Systems 3-0-0 3 Syllabus
EE3201 Electric Drives 3-0-0 3 Syllabus
EE3301 Principles of Control Systems Engineering 3-0-0 3 Syllabus
EE3412 Digital Electronics and Microprocessors 3-0-0 3 Syllabus
EE6262 Energy Storage Systems 3-0-0 3 Syllabus
EE6268 Energy Storage Systems 3-0-0 3 Syllabus
PH3051 Science of Nano-materials 3-0-0 3 Syllabus
CS2083 Hands-On with Operating Systems 0-0-3 2 Syllabus
CS2084 Object-Oriented Design & Development Lab 0-0-3 2 Syllabus
CS2091 Python Programming for ML Laboratory 0-0-2 1 Syllabus
CS2093 Data Preprocessing Laboratory 0-0-2 1 Syllabus
CS2094 Text Analysis and NLP Laboratory 0-0-2 1 Syllabus
CS2095 IoT Prototyping Laboratory 0-0-2 1 Syllabus
CS2096 Cybersecurity for Cyber Physical Systems Laboratory 0-0-2 1 Syllabus
CS2097 Basic Quantum Computing Programming 0-0-2 1 Syllabus
CS2098 Industrial IoT 0-0-2 1 Syllabus
CS2099 IoT Data analytics 0-0-2 1 Syllabus
CS6658 Data Analytics Capstone Project 0-0-2 1 Syllabus
EE2703 Electrical Measurement and Instrumentation Laboratory 0-0-2 1 Syllabus
EE3703 Power Electronics Laboratory 0-0-3 2 Syllabus
EE3712 Control Systems Laboratory 0-0-2 1 Syllabus
EE3713 Power Electronics Laboratory 0-0-2 1 Syllabus
EE4701 Power Systems Laboratory 0-0-3 2 Syllabus
EE4711 Power Systems Laboratory 0-0-2 1 Syllabus