

B-S-M-S in Statistics at Indian Institute of Technology Kanpur


Kanpur Nagar, Uttar Pradesh
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About the Specialization
What is Statistics at Indian Institute of Technology Kanpur Kanpur Nagar?
This B.S. - M.S. Statistics dual degree program at IIT Kanpur focuses on a comprehensive and in-depth understanding of statistical theory, methodology, and applications. It is designed to equip students with advanced analytical and computational skills highly relevant for data-intensive roles across diverse Indian industries, emphasizing both theoretical foundations and practical problem-solving.
Who Should Apply?
This program is ideal for analytically-minded fresh graduates from a science or engineering background, typically those who have excelled in JEE Advanced, seeking a robust foundation and advanced specialization in statistics. It also caters to individuals passionate about quantitative research, data analysis, and developing innovative statistical models for complex real-world challenges in India.
Why Choose This Course?
Graduates of this program can expect to pursue advanced careers as Data Scientists, Quantitative Analysts, Statisticians, Machine Learning Engineers, and Research Scientists in India''''s booming data economy. Entry-level salaries range from INR 8-15 LPA, with experienced professionals earning significantly more. The strong research focus prepares students for Ph.D. studies or leadership roles in R&D departments.

Student Success Practices
Foundation Stage
Build a Strong Mathematical and Programming Core- (Semester 1-2)
Focus rigorously on core mathematics (Calculus, Linear Algebra) and programming fundamentals (Python/C++ via ESC101, CS201). Actively participate in problem-solving sessions and use online platforms to practice coding.
Tools & Resources
NPTEL courses for foundational math, HackerRank, LeetCode for coding practice
Career Connection
A solid foundation in math and programming is essential for all advanced statistical and data science roles, ensuring a smooth transition to higher-level courses and enabling eligibility for top internships.
Develop Effective Study Habits and Peer Learning Networks- (Semester 1-2)
Establish consistent study routines, attend all lectures and tutorials, and actively engage with professors. Form study groups with peers to discuss challenging concepts, solve problems collaboratively, and prepare for examinations.
Tools & Resources
University library, Departmental common rooms, Online collaboration tools
Career Connection
Strong academic performance in foundational years builds confidence and creates a robust transcript, which is crucial for internship applications and academic opportunities.
Engage with Extra-Curricular Technical Clubs- (Semester 1-2)
Join relevant clubs like the programming club, analytics club, or data science society to explore interests beyond the curriculum. Participate in introductory workshops, mini-projects, and coding competitions to gain practical exposure.
Tools & Resources
Campus clubs, Hackathon platforms (Devfolio), GitHub for project showcasing
Career Connection
Early exposure to real-world applications and projects helps identify career interests, builds a portfolio, and develops soft skills like teamwork and problem-solving, which are valued in placements.
Intermediate Stage
Master Statistical Software and Data Handling- (Semester 3-5)
Gain proficiency in statistical programming languages like R and Python, focusing on libraries like tidyverse, pandas, scikit-learn. Work on mini-projects involving data cleaning, visualization, and basic statistical modeling using real datasets.
Tools & Resources
Datacamp, Coursera, Kaggle datasets, RStudio, Jupyter Notebooks
Career Connection
These skills are non-negotiable for any statistics or data science role, making candidates highly employable for internships and entry-level positions in analytics and research.
Seek Research Opportunities and Industry Exposure- (Semester 3-5)
Actively look for summer research internships (SRI) with professors or apply for off-campus internships. Participate in academic projects, build a portfolio of statistical analyses, and attend industry webinars or workshops.
Tools & Resources
IITK''''s Student Research Internship Program, Department research groups, LinkedIn for networking
Career Connection
Practical research experience is invaluable for M.S. thesis work and demonstrates applied skills to potential employers, significantly boosting placement prospects and graduate school applications.
Deep Dive into Core Statistical Theories- (Semester 3-5)
Thoroughly understand advanced concepts in Probability Theory, Mathematical Statistics, Regression Analysis, and Stochastic Processes. Focus on proofs, theoretical derivations, and their underlying assumptions.
Tools & Resources
Advanced textbooks, NPTEL advanced courses, Departmental faculty office hours
Career Connection
A strong theoretical grasp is crucial for excelling in quantitative roles, advanced research, and designing robust statistical models, differentiating graduates in competitive Indian job markets.
Advanced Stage
Specialize through Advanced Electives and M.S. Thesis Preparation- (Semester 6-8)
Strategically choose department and open electives that align with your M.S. research interests (e.g., Data Mining, Time Series, Multivariate Analysis). Start identifying potential M.S. thesis advisors and research topics.
Tools & Resources
Departmental course catalogs, Faculty research profiles, Academic journals (JSTOR, IEEE Xplore)
Career Connection
Specialization builds expertise, making you a more attractive candidate for targeted roles and directly prepares you for the rigorous M.S. thesis, a cornerstone of the dual degree.
Prepare for Placements and Professional Networking- (Semester 6-8)
Refine your resume and cover letter, practice technical and HR interview skills, and participate in mock interviews. Network with alumni and industry professionals through career fairs, LinkedIn, and departmental events.
Tools & Resources
IITK Career Development Centre (CDC), LinkedIn, Glassdoor, Interview prep platforms
Career Connection
Effective placement preparation is key to securing high-quality job offers in top-tier analytics, finance, and tech companies in India, leveraging the IITK brand.
Develop Advanced Research and Communication Skills- (Semester 6-8)
Engage in the M.S. thesis project from conception to completion. Focus on rigorous methodology, data analysis, report writing, and presentation skills. Aim to present research at student conferences or departmental seminars.
Tools & Resources
LaTeX for thesis writing, Academic presentation software, Peer review, advisor feedback
Career Connection
High-quality research and strong communication skills are paramount for leadership roles, Ph.D. admissions, and positions requiring advanced problem-solving and clear articulation of complex statistical insights.
Program Structure and Curriculum
Eligibility:
- Admission through Joint Entrance Examination (JEE) Advanced
Duration: 10 semesters (5 years)
Credits: Approximately 220 credits (160 for B.S. + minimum 60 for M.S. Research) Credits
Assessment: Assessment pattern not specified
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| PH101 | Introduction to Physics I | Core | 9 | Classical Mechanics, Special Relativity, Oscillations and Waves, Thermal Physics |
| CH101 | Introduction to Chemistry I | Core | 9 | Atomic Structure and Bonding, Thermodynamics, Organic Chemistry Fundamentals, Reaction Mechanisms |
| MTH101 | Introduction to Mathematics I | Core | 9 | Single Variable Calculus, Sequences and Series, Differential Equations, Applications of Derivatives |
| LIF101 | Introduction to Life Sciences | Core | 9 | Cell Biology, Genetics, Evolutionary Biology, Human Physiology |
| PE101 | Physical Education | Core | 0 | Physical Fitness, Team Sports, Individual Sports, Health and Wellness |
| ESC101 | Fundamentals of Computing | Core | 9 | Programming Concepts, Data Structures Basics, Algorithm Design, Computer Organization |
| TA101 | Engineering Graphics | Core | 9 | Orthographic Projections, Isometric Views, Sectional Views, CAD Software Introduction |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| PH102 | Introduction to Physics II | Core | 9 | Electromagnetism, Optics, Quantum Mechanics Introduction, Solid State Physics |
| CH102 | Introduction to Chemistry II | Core | 9 | Chemical Kinetics, Electrochemistry, Coordination Chemistry, Spectroscopy |
| MTH102 | Introduction to Mathematics II | Core | 9 | Multivariable Calculus, Linear Algebra, Vector Spaces, Eigenvalues and Eigenvectors |
| LIF102 | Biological Systems | Core | 9 | Metabolism, Immunology, Neurobiology, Ecology and Environment |
| PE102 | Physical Education | Core | 0 | Physical Fitness, Team Sports, Individual Sports, Health and Wellness |
| ESC102 | Introduction to Electronics | Core | 9 | Basic Electronic Components, Circuit Analysis, Digital Logic Gates, Semiconductor Devices |
| TA201 | Engineering Design | Core | 9 | Design Process, Materials Selection, Manufacturing Processes, Prototyping and Testing |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTH201 | Linear Algebra | Core | 9 | Vector Spaces, Linear Transformations, Eigenvalues and Eigenvectors, Inner Product Spaces |
| MTH203 | Probability Theory | Core | 9 | Probability Spaces, Random Variables, Distribution Functions, Central Limit Theorem |
| MTH204 | Ordinary Differential Equations | Core | 9 | First Order ODEs, Second Order Linear ODEs, Series Solutions, Laplace Transforms |
| CS201 | Data Structures and Algorithms | Core | 9 | Arrays and Linked Lists, Trees and Graphs, Sorting Algorithms, Searching Techniques |
| HSS-I | Humanities and Social Sciences Elective I | HSS Elective | 9 | Specific topics depend on student choice |
| DE1 | Department Elective I | Department Elective | 9 | Specific topics depend on student choice |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTH205 | Real Analysis | Core | 9 | Metric Spaces, Continuity and Differentiability, Riemann Integration, Sequences of Functions |
| MTH206 | Mathematical Statistics | Core | 9 | Point Estimation, Hypothesis Testing, Confidence Intervals, Likelihood Theory |
| MTH207 | Partial Differential Equations | Core | 9 | First Order PDEs, Wave Equation, Heat Equation, Laplace Equation |
| MTH208 | Numerical Methods | Core | 9 | Error Analysis, Interpolation, Numerical Integration, Solving ODEs Numerically |
| HSS-II | Humanities and Social Sciences Elective II | HSS Elective | 9 | Specific topics depend on student choice |
| DE2 | Department Elective II | Department Elective | 9 | Specific topics depend on student choice |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTH301 | Abstract Algebra | Core | 9 | Groups and Subgroups, Rings and Fields, Homomorphisms, Quotient Structures |
| MTH303 | Regression Analysis | Core | 9 | Simple Linear Regression, Multiple Regression, Model Diagnostics, Variable Selection |
| MTH304 | Introduction to Stochastic Processes | Core | 9 | Markov Chains, Poisson Processes, Renewal Theory, Brownian Motion |
| DE3 | Department Elective III | Department Elective | 9 | Specific topics depend on student choice |
| OE1 | Open Elective I | Open Elective | 9 | Specific topics depend on student choice |
| TA3 | Summer Project | Project | 0 | Independent Research, Literature Review, Project Implementation, Report Writing |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTH306 | Statistical Computing | Core | 9 | Statistical Software (R/Python), Data Manipulation, Simulation Techniques, Monte Carlo Methods |
| MTH307 | Multivariate Analysis | Core | 9 | Multivariate Normal Distribution, MANOVA, Principal Component Analysis, Factor Analysis |
| MTH308 | Design of Experiments | Core | 9 | ANOVA, Factorial Designs, Block Designs, Response Surface Methodology |
| DE4 | Department Elective IV | Department Elective | 9 | Specific topics depend on student choice |
| OE2 | Open Elective II | Open Elective | 9 | Specific topics depend on student choice |
Semester 7
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTH401 | Functional Analysis | Core | 9 | Normed Spaces, Banach Spaces, Hilbert Spaces, Linear Operators |
| MTH402 | Time Series Analysis | Core | 9 | Autoregressive Models, Moving Average Models, ARIMA Models, Spectral Analysis |
| MTH403 | Statistical Inference | Core | 9 | Advanced Estimation Theory, Bayesian Inference, Nonparametric Methods, Decision Theory |
| DE5 | Department Elective V | Department Elective | 9 | Specific topics depend on student choice |
| OE3 | Open Elective III | Open Elective | 9 | Specific topics depend on student choice |
Semester 8
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTH404 | Optimization Techniques | Core | 9 | Linear Programming, Non-linear Programming, Convex Optimization, Dynamic Programming |
| MTH405 | Data Mining and Machine Learning | Core | 9 | Classification Algorithms, Regression Models, Clustering Techniques, Decision Trees and SVMs |
| DE6 | Department Elective VI | Department Elective | 9 | Specific topics depend on student choice |
| OE4 | Open Elective IV | Open Elective | 9 | Specific topics depend on student choice |
| MTH498 | Project | Project | 9 | Independent Research, Methodology Development, Data Analysis, Report Writing |
Semester 9
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTH6XX | Advanced Department Elective I | Major Area Course | 9 | Advanced Statistical Inference, Advanced Stochastic Processes, Bayesian Analysis, Nonparametric Statistics |
| MTH6XX | Advanced Department Elective II | Major Area Course | 9 | Financial Mathematics, Biostatistics, Survival Analysis, Advanced Regression |
| MTH6XX | Advanced Department Elective III | Major Area Course | 9 | Time Series and Forecasting, Spatial Statistics, Computational Statistics, Data Mining for Statisticians |
| MSR699 | M.S. Thesis Part I | Project | 9 | Research Problem Formulation, Literature Review, Methodology Design, Preliminary Data Analysis |
Semester 10
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTH6XX | Advanced Department Elective IV | Major Area Course | 9 | Categorical Data Analysis, Statistical Quality Control, Actuarial Statistics, Advanced Topics in Probability |
| MSR699 | M.S. Thesis Part II | Project | 21 | Data Collection and Analysis, Model Development, Results Interpretation, Thesis Writing and Defense |




