National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

An Institute of National Importance

Curriculum

Mathematics (Integrated M.Sc. - 5yrs)

Subject Code Subject Name L-T-P Credit
CE1100 Engineering Mechanics 3-0-0 3 Syllabus
CH1400 Environment and Safety Engineering 3-0-0 3 Syllabus
CY1003 Applied Chemistry 3-0-0 3 Syllabus
MA1003 Mathematics - I 3-0-0 3 Syllabus
HS1300 Communicative English 2-0-0 2 Syllabus
CE1010 Computer Aided Drawing and Graphics 0-0-3 2 Syllabus
CY1170 Chemistry Laboratory 0-0-3 2 Syllabus
Extra Academic Activity - I

Subject Code Subject Name L-T-P Credit
EC1000 Basic Electronics Engineering 3-0-0 3 Syllabus
EE1000 Basic Electrical Engineering 3-0-0 3 Syllabus
MA1004 Mathematics - II 3-0-0 3 Syllabus
PH1006 Modern Physics 3-0-0 3 Syllabus
LS1001 Biology 2-0-0 2 Syllabus
EA1270 Value Education and Ethics 1-0-0 1 Syllabus
CS1010 Programming for Problem Solving 1-0-2 2 Syllabus
ME1000 Workshop Practice 0-0-3 2 Syllabus
PH1070 Physics Laboratory 0-0-3 2 Syllabus

Subject Code Subject Name L-T-P Credit
MA2003 Introduction to Probability and Statistics 3-1-0 4 Syllabus
MA2007 Introduction to Numerical Analysis 3-1-0 4 Syllabus
PH2009 Basic Mathematical Physics 3-0-0 3 Syllabus
CS2011 Introduction to AI and ML 2-0-0 2 Syllabus
MA2071 Numerical Methods Laboratory 0-0-3 2 Syllabus
EC2700 Basic Electronics Laboratory 0-0-2 1 Syllabus
Value Added Course - I
Humanities Elective - I
Additional Course - I

Subject Code Subject Name L-T-P Credit
MA2002 Introduction to Complex Analysis 3-1-0 4 Syllabus
PH2002 Optics 3-0-0 3 Syllabus
PH2006 Waves and Oscillations 3-0-0 3 Syllabus
PH2072 Waves and Optics Laboratory 0-0-3 2 Syllabus
CS2672 AI and ML Laboratory 0-0-2 1 Syllabus
HS2270 Language Laboratory 0-0-2 1 Syllabus
Value Added Course - II
Technology in Society - I
Humanities Elective - II
Additional Course - II

Subject Code Subject Name L-T-P Credit
MA3103 Introduction to Real Analysis and Metric Spaces 3-1-0 4 Syllabus
MA3105 Introduction to Linear Algebra 3-1-0 4 Syllabus
CY3201 Chemistry of Elements 3-0-0 3 Syllabus
PH3007 Electricity and Magnetism 3-0-0 3 Syllabus
CY3271 Basic Inorganic Chemistry Laboratory 0-0-3 2 Syllabus
PH3075 Electricity and Magnetism Laboratory 0-0-3 2 Syllabus
Multidisciplinary Elective - I
Additional Course - III

Subject Code Subject Name L-T-P Credit
MA3102 Introduction to Algebra 3-1-0 4 Syllabus
MA3202 Linear Programming 3-1-0 4 Syllabus
CY3404 Fundamental of Materials and Nanochemistry 3-0-0 3 Syllabus
CY3704 Quantitative Analysis of Inorganic Compounds 0-0-3 2 Syllabus
PH3076 Computer Programming Laboratory 0-0-3 2 Syllabus
Value Added Course - III
Multidisciplinary Elective - II
Additional Course - IV

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
MA4109 Topology 3-1-0 4 Syllabus
MA4201 Numerical Analysis 3-1-0 4 Syllabus
MA4555 Special Topics by Industry Experts 0-0-0 1 Syllabus
Advanced Skill Development Laboratory - I
Additional Course - V

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
MA4108 Complex Analysis 3-1-0 4 Syllabus
MA4372 Statistics Laboratory 0-0-3 2 Syllabus
MA4902 Seminar and Technical Writing 0-0-2 1 Syllabus
Stream / Cluster Elective - I
Multidisciplinary Elective - III
Additional Course - VI

Subject Code Subject Name L-T-P Credit
MA5993 Research Project - I 0-0-0 6 Syllabus
Stream / Cluster Elective - II
Stream / Cluster Elective - III
Multidisciplinary Elective - IV
Multidisciplinary Elective - V
Additional Course - VII
MA5995 Summer Industrial Research Experience 0-0-0 2 Syllabus

Subject Code Subject Name L-T-P Credit
MA5992 Comprehensive Viva Voce 0-0-0 2 Syllabus
Stream / Cluster Elective - IV
Multidisciplinary Elective - VI
Multidisciplinary Elective - VII
Capstone Project Elective - II

Subject Code Subject Name L-T-P Credit
MA1003 Mathematics - I 3-0-0 3 Syllabus
MA1004 Mathematics - II 3-0-0 3 Syllabus
MA2001 Probability and Statistics 3-0-0 3 Syllabus
MA2002 Introduction to Complex Analysis 3-1-0 4 Syllabus
MA2003 Introduction to Probability and Statistics 3-1-0 4 Syllabus
MA2004 Mathematical Methods 3-1-0 4 Syllabus
MA2005 Numerical Methods 3-0-0 3 Syllabus
MA2007 Introduction to Numerical Analysis 3-1-0 4 Syllabus
MA2104 Complex Analysis 3-1-0 4 Syllabus
MA2305 Numerical Analysis 3-1-0 4 Syllabus
MA2306 Mathematical Methods 3-1-0 4 Syllabus
MA3101 Introduction to Algebra: Group and Ring Theory 3-1-0 4 Syllabus
MA3102 Introduction to Algebra 3-1-0 4 Syllabus
MA3103 Introduction to Real Analysis and Metric Spaces 3-1-0 4 Syllabus
MA3104 Number Theory 3-1-0 4 Syllabus
MA3105 Introduction to Linear Algebra 3-1-0 4 Syllabus
MA3202 Linear Programming 3-1-0 4 Syllabus
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
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
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
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
MA5334 Data Analytics for Finance 3-0-0 3 Syllabus
MA5338 Advance Mathematical Methods 3-0-0 3 Syllabus
MA5360 Finite Element Methods 3-0-0 3 Syllabus
MA5402 Numerical Linear Algebra 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
MA2071 Numerical Methods Laboratory 0-0-3 2 Syllabus
MA3370 Computing Laboratory 1-0-2 2 Syllabus
MA3670 Product Development Laboratory 0-0-0 1 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
MA4882 Seminar and Technical Writing 0-0-0 1 Syllabus
MA4555 Special Topics by Industry Experts 0-0-0 1 Syllabus
MA4991 Special Topics by Industry Experts 0-0-0 1 Syllabus

Subject Code Subject Name L-T-P Credit
CH1400 Environment and Safety Engineering 3-0-0 3 Syllabus
CH2114 Heat Transfer Operations 3-0-0 3 Syllabus
CS1002 Programming Fundamentals 2-0-0 2 Syllabus
CS2011 Introduction to AI and ML 2-0-0 2 Syllabus
CS3001 Data Communication 3-0-0 3 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
CY2102 Organic Chemistry: Structure and Reactivity 3-0-0 3 Syllabus
CY2201 Principles of Inorganic Chemistry 3-0-0 3 Syllabus
CY3301 Physical Chemistry: Matters and Surface 3-0-0 3 Syllabus
CY3404 Fundamental of Materials and Nanochemistry 3-0-0 3 Syllabus
CY4204 Solid State Chemistry 3-0-0 3 Syllabus
CY5102 Heterocycles and Natural Products 3-0-0 3 Syllabus
CY5205 Solid State Chemistry 3-0-0 3 Syllabus
CY5303 Biochemistry 3-0-0 3 Syllabus
CY5308 Principles of Molecular Modeling and Applications 3-0-0 3 Syllabus
CY5403 Environmental Chemistry 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
EE3213 Semiconductor Fabrication Technology 2-0-0 2 Syllabus
EE3301 Principles of Control Systems Engineering 3-0-0 3 Syllabus
EE3412 Digital Electronics and Microprocessors 3-0-0 3 Syllabus
EE6245 Silicon Solar Cell Technology 3-0-0 3 Syllabus
EE6268 Energy Storage Systems 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
HS1314 Gender, Diversity, and Inclusion 3-0-0 3 Syllabus
LS4004 Bioinformatics 3-0-0 3 Syllabus
MM1701 Introduction to Materials Engineering 3-0-0 3 Syllabus
PH2001 Waves and Oscillations 3-0-0 3 Syllabus
PH2002 Optics 3-0-0 3 Syllabus
PH2003 Electricity and Magnetism 3-0-0 3 Syllabus
PH2004 Introduction To Classical Mechanics 3-0-0 3 Syllabus
PH2005 Introduction To Classical Mechanics 3-0-0 3 Syllabus
PH2006 Waves and Oscillations 3-0-0 3 Syllabus
PH2009 Basic Mathematical Physics 3-0-0 3 Syllabus
PH2010 Elements of Quantum Mechanics 3-0-0 3 Syllabus
PH3001 Thermal and Statistical Physics 3-1-0 4 Syllabus
PH3002 Introduction To Condensed Matter Physics 3-0-0 3 Syllabus
PH3005 Elements of Quantum Mechanics 3-0-0 3 Syllabus
PH3006 Basic Mathematical Physics 3-0-0 3 Syllabus
PH3007 Electricity and Magnetism 3-0-0 3 Syllabus
PH3008 Thermal and Statistical Physics 3-1-0 4 Syllabus
PH3009 Quantum Mechanics - I 3-1-0 4 Syllabus
PH3010 Quantum Mechanics - II 3-1-0 4 Syllabus
PH3021 Physics of Semiconductors 3-0-0 3 Syllabus
PH3051 Science of Nano-materials 3-0-0 3 Syllabus
PH3062 Vacuum Science and Applications 3-0-0 3 Syllabus
PH4009 Electrodynamics 3-1-0 4 Syllabus
PH4010 Physical Processes in the Universe 3-0-0 3 Syllabus
SM6611 Business Research Methodology 3-0-0 3 Syllabus
CS1010 Programming for Problem Solving 1-0-2 2 Syllabus
CS2083 Hands-On with Operating Systems 0-0-3 2 Syllabus
CS2084 Object-Oriented Design & Development Laboratory 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
CS2672 AI and ML Laboratory 0-0-2 1 Syllabus
CS6658 Data Analytics Capstone Project 0-0-2 1 Syllabus
CY2171 Functional Group Identification Laboratory 0-0-3 2 Syllabus
CY2172 Functional Group Estimation Laboratory 0-0-3 2 Syllabus
CY2701 Functional Group Identification Laboratory 0-0-2 1 Syllabus
CY2702 Basic Physical Chemistry Laboratory - I 0-0-2 1 Syllabus
CY3172 Natural Products Isolation Laboratory 0-0-3 2 Syllabus
CY3271 Basic Inorganic Chemistry Laboratory 0-0-3 2 Syllabus
CY3272 Quantitative Analysis of Inorganic Compounds 0-0-3 2 Syllabus
CY3273 Chemical Biology Laboratory 0-0-3 2 Syllabus
CY3371 Analytical Instrumentation 0-0-3 2 Syllabus
CY3701 Basic Inorganic Chemistry Laboratory - I 0-0-3 2 Syllabus
CY4171 Organic Compounds Preparation Laboratory 0-0-3 2 Syllabus
CY4272 Inorganic Chemistry Laboratory 0-0-3 2 Syllabus
CY4371 Physical Chemistry Laboratory 0-0-3 2 Syllabus
CY4372 Mathematical and Computational Methods in Chemistry 2-0-1 3 Syllabus
EA2110 Professional Culture and Lifestyle in Healthcare 0-0-1 1 Syllabus
EA2120 Personality Development 0-0-1 1 Syllabus
EA2170 Self-Defense 0-0-1 1 Syllabus
EA2260 Dance and Theatre 0-0-1 1 Syllabus
EA2270 Music 0-0-1 1 Syllabus
EA2310 Deutsch Sprache (German Language) 0-0-1 1 Syllabus
EA2410 Sustainable Living 0-0-1 1 Syllabus
EC2700 Basic Electronics Laboratory 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
HS1270 Language Laboratory 0-0-2 1 Syllabus
LS3098 Life Science Lab- VII 0-0-3 3 Syllabus
MM2161 Fundamentals of Metallurgical Engineering Laboratory 0-0-2 1 Syllabus
PH2071 Electricity and Magnetism Laboratory 0-0-2 1 Syllabus
PH2072 Waves and Optics Laboratory 0-0-3 2 Syllabus
PH2073 Properties of Matter Laboratory 0-0-3 2 Syllabus
PH3071 Properties of Matter Laboratory 0-0-3 2 Syllabus
PH3072 Thermal Physics Laboratory 0-0-3 2 Syllabus
PH3075 Electricity and Magnetism Laboratory 0-0-3 2 Syllabus
PH3076 Computer Programming Laboratory 0-0-3 2 Syllabus
PH4077 Computational Physics Laboratory 1-0-3 3 Syllabus
PH4078 Computational Astrophysics Laboratory 1-0-3 3 Syllabus