Research Methodology at IIT (ISM) Dhanbad [Monsoon Semester 2025]
Research Methodology at IIT (ISM) Dhanbad [Monsoon Semester 2025]
Lecture 1 [Slides]: Meaning of research, its types, objectives, and significance.
Lecture 2 [Slides]: Research method vs. Research methodology
Lecture 3 [Slides]: Criteria for good research, literature review, research papers
Lecture 4 [Slides]: Reviewing literature, sources for articles--Google Scholar, Scopus, arXiv
Lecture 5 [Slides]: Journal rankings and research ethics
Lecture 6 [Slides]: Technical writing
Lecture 7 [Slides]: Turnitin-plagiarism checking tool
Research Methodology at IIT (ISM) Dhanbad [Winter Semester 2024-25]
Lecture 1 [Slides]: Meaning of research, its types, objectives, and significance.
Lecture 2 [Slides]: Research methodology, writing research documents
Lecture 3 [Slides]: Reviewing the literature: how, where, what
Lecture 4 [Slides]: Research article search tools, journal rankings, and sources to evaluate journals
Lecture 5 [Slides]: Research ethics, presentation tools
Lecture 6 [Slides]: MATLAB: Basics, arrays and operations on them
Lecture 7 [Slides]: MATLAB: Symbolic calculations
Lecture 8 [Slides]: MATLAB: Plotting 2D graphs
Lecture 9 [Slides]: MATLAB: Plotting 3D graphs
Lecture 10 [Slides]: Technical writing (part I)
Quiz-1 solutions: [Click here]
Lecture 11 [Slides]: Technical writing (part II)
Lecture 12 [Slides]: Plagiarism checking, Turnitin demo
Lecture 13 [Slides]: Power BI Module 1 - Introduction to Power BI
Lecture 14 [Slides]: Power BI Module 2 - Data importing and cleaning
Tutorial 1 [Tutorial 1, people-10000.csv, employees-10000.csv]
Lecture 15 [Slides]: Power BI Module 3 - Basic visuals (Part I)
Lecture 16 [Slides]: Power BI Module 3 - Basic visuals (Part II)
Lecture 17 [Slides]: Using DAX for basic calculations
Lecture 18 [Slides]: Data relationships and data modeling
Lecture 19 [Slides]: Advanced visualizations: Funnel chart, scatter chart, waterfall chart
Lecture 20 [Slides]: Interactive reports and dashboard (Slicers and filters)
Lecture 21 [Slides]: Interactive reports and dashboard (Cross-filtering, drill-down, drill-through)
Tutorial 2 [Questions/tasks, StockMarket]
Tutorial 3 [Questions/tasks, Customer_1000]
Engineering Mathematics II at IIT (ISM) Dhanbad [Winter Semester 2024-25]
Lecture 1 [Notes]: Solving system of linear equations using the Gaussian elimination method.
Lecture 2 [Notes]: Breakdown of the Gaussian elimination method and remedies
Lecture 3 [Notes]: Gauss-Jordan method for finding matrix inverse
Lecture 4 [Notes]: Worked out examples of the Gauss-Jordan method
Lecture 5 [Notes]: Definition of a vector space with examples
Lecture 6 [Notes]: More examples of vector spaces, vector subspace definition, examples
Lecture 7 [Notes]: Linear span, examples
Lecture 8 [Notes]: Linear independence, examples
Lecture 9 [Notes]: Basis, dimension, examples
Lecture 10 [Notes]: Linear transformation, kernel, range, and examples
Lecture 11 [Notes]: Rank nullity theorem, examples
Lecture 12 [Notes]: Subspaces associated with a matrix, its rank, and nullity
Lecture 13 [Notes]: Coordinates of a vector relative to an ordered basis
Lecture 14 [Notes]: The coordinate transformation, invertible linear transformation
Lecture 15 [Notes]: Matrix representation of general linear transformation
Lecture 16 [Notes]: Solved examples for matrix representation of linear transformation
Lecture 17 [Notes]: Eigenvalues and eigenvectors for linear transformation
Lecture 18 [Notes]: Examples to find eigenvalues and eigenvectors
Lecture 19 [Notes]: Characteristic polynomial, Cayley-Hamilton theorem, minimal polynomial
Lecture 20 [Notes]: Algebraic and geometric multiplicities
Lecture 21 [Notes]: Diagonalizability of a matrix (Part I)
Lecture 22 [Notes]: Diagonalizability of a matrix (Part II)
Lecture 23 [Notes]: Diagonalizability of a matrix (Part III) and quadratic forms
Lecture 24 [Notes]: Diagonalization of quadratic forms, positive-definite quadratic forms
Lecture 25 [Notes]: Exact differential equations (Part I) - checking exactness and solving
Lecture 26 [Notes]: Exact differential equations (Part II) - Integrating factors
Lecture 27 [Notes]: Bernoulli equation (reduction to linear form), Verhulst equation (logistic equation)
Lecture 28 [Notes]: Orthogonal trajectories, Initial Value Problem: Picard's existence theorem
Lecture 29 [Notes]: Picard's existence and uniqueness theorems with examples
Lecture 30 [Notes]: Picard's iteration method
Lecture 31 [Notes]: Homogenous second-order linear DE, linear dependence of two solutions, Wronskian, general solution theorem
Lecture 32 [Notes]: Method of reduction of order
Lecture 33 [Notes]: Second or higher order linear ODEs with constant coefficients
Lecture 34 [Notes]: Higher-order linear ODEs: C.F., P.I., Wronskian
Lecture 35 [Notes]: Method of variation of parameters
Lecture 36 [Notes]: Inverse operator method (Part I)
Lecture 37 [Notes]: Inverse operator method (Part II)
Lecture 38 [Notes]: First-order PDE formation
Lecture 39 [Notes]: Useful techniques in inverse power method
Lecture 40 [Notes]: Lagrange's method to solve first-order quasi-linear PDEs
Lecture 41 [Notes]: Euler-Cauchy method
Teaching assistant for Real Analysis course for MSQE-MStat at ISI Delhi [Fall 2017]
I prepared tutorials (assignments) based on each lecture, graded them, and discussed them in class
The tutorial sheets can be found here
Volunteered to help professors at Indian Statistical Institute Delhi during COVID-19 [2020-2021]
Priyanka Dutta [LinkedIn] and I helped the professors conduct online lectures during COVID-19Â
We uploaded their lectures to YouTube and shared the lecture links on Moodle for the students to access them (5 days a week, 2 to 3 lectures a day)