National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

An Institute of National Importance

Curriculum

Mathematics (Integrated M.Sc. - 5yrs)

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
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
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
MA2071 Numerical Methods Laboratory 0-0-3 2 Syllabus
MA3370 Computing Laboratory 1-0-2 2 Syllabus
MA3670 Product Development Laboratory 0-0-2 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
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
CH1400 Environment and Safety Engineering 3-0-0 3 Syllabus
CH2114 Heat Transfer Operations 3-0-0 3 Syllabus
CH3511 Microfabrication Techniques 2-0-0 2 Syllabus
CS1002 Programming Fundamentals 2-0-0 2 Syllabus
CS2011 Introduction to AI and ML 2-0-0 2 Syllabus
CS2016 Object Oriented Design and Programming 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
CS6301 Foundations of Computer Security 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
EC3608 Neural Networks and Deep Learning 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
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
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
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
PH2014 Semiconductor Technology 2-0-0 2 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
PH3011 Structural Analysis of Advanced Materials 2-0-0 2 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
SM5622 Entrepreneurship and Start-up Ecosystem 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
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
CS3097 Basic Quantum Computing Programming 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
ER4262 Climate Diagnostics Laboratory 0-0-3 2 Syllabus
ER4271 Data analyses and Visualization Laboratory 0-0-3 2 Syllabus
ER4274 Satellite Remote Sensing Laboratory 0-0-3 2 Syllabus
HS1270 Language Laboratory 0-0-2 1 Syllabus
LS3098 Life Science Laboratory - 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
SM5372 Personality Grooming Lab 0-0-3 2 Syllabus
SM5572 Business Analytics Laboratory 0-0-3 2 Syllabus