As a passionate PhD scholar in the Department of Mathematics at the National Institute of Technology Agartala, I consider teaching not just a role, but a profound opportunity to ignite curiosity and inspire the next generation of mathematicians and data scientists. It’s a journey I cherish, where every interaction transforms learning into an exciting adventure.
I believe that education is a dynamic exchange, where both students and educators learn and grow together. My teaching philosophy is built around creating an interactive and inclusive learning environment. I strive to foster critical thinking and curiosity, empowering my students to explore mathematical concepts with creativity and depth. By incorporating hands-on activities, group discussions, and real-world problem-solving scenarios, I aim to make every lesson engaging and relevant to their lives and future careers.
Courses I Teach
Throughout my journey as a teaching assistant, I have had the privilege of guiding undergraduate students through various courses, including:
Calculus: Delving into the fascinating realms of differentiation and integration, I help students discover the practical applications of these fundamental concepts in solving real-life problems.
Linear Algebra: Together, we explore vectors, matrices, and linear transformations, showcasing how these essential tools are vital for understanding complex data and systems.
Operations Research: In this course, I introduce students to optimization techniques and decision-making processes that are crucial across various industries, from logistics to finance.
I am deeply committed to mentoring my students throughout their academic journey. I understand that navigating the complexities of university life can be challenging, and I am here to provide support and guidance. Whether it’s discussing research ideas, preparing for exams, or exploring career opportunities, I encourage students to approach me with any questions or concerns they might have.
Learning extends far beyond the classroom walls. I actively encourage my students to participate in extracurricular activities, workshops, and seminars that enhance their understanding of mathematics and its diverse applications. By fostering a sense of community and collaboration, I aim to create an environment where students feel comfortable sharing ideas and learning from one another.
Teaching is a journey I cherish deeply. It allows me to connect with bright, ambitious minds eager to make a difference in the world. I invite you to explore my teaching philosophy and experiences further on this website. Together, let’s embark on this exciting journey of discovery and knowledge in the field of mathematics!
Function of several Variables: Partial Derivatives, Chain Rule, Differentiation of Implicit functions, Exact Differentials, Euler’s theorem on homogeneous function and its converse. Maxima, Minima and Saddle points, Simple problems in extrema of functions with constraints. Method of Lagrangian Multipliers.
Laplace Transform: Transforms of elementary functions, Inverse transforms, properties of Laplace transform. Convolutions. Transforms of periodic functions, unit step functions, shifting theorems. Solutions of ODE’s using transforms.
Integral Calculus: Improper Integrals, Beta and Gamma function. Double and Triple Integrals, Jacobians and transformation of coordinates.
Vectors: Scalar and vector triple product, space curves, Seret-Frenet formula, velocity and acceleration-simple problems, moment of force, work done, angular velocity, relative velocity-simple applications. Vector function of one variable, vector differentiation and integration, gradient, divergence and curl --- Applications. Stoke’s theorem, Green’s theorem, Gauss divergence theorem - simple applications to areas, Volumes and centres of Pressure.
Probability and Statistics:
Probability and Random Variable: Axioms of probability, Conditional probability, Independent events, Baye’s Theorem, Random variables, Probability mass function, Probability density function - properties, Moments, Moment generating functions and their properties.
Standard Distributions: Binomial, Poisson Normal distribution and their properties, function of random variables.
Two-dimensional random variables: Joint distribution, Marginal and conditional distribution, covariance, correlation and regression, Transformation of random variables, Central limit theorem.
Operation Research: Linear programming, Simplex method, Duality, Two-phase method, Big-M method, Dual simplex method, Transportation and Assignment models, Game theory and solution.
Numerical Analysis: Solution of algebraic and transcendental equations by bisection method, iteration method, Regular-Falsi (False position) method, Newton-Raphson method, Solution of Simultaneous linear equations by Gauss Elimination and Gauss-Seidal method.
Interpolation: Concept of interpolation, difference operators, divided difference interpolation, Newton’s forward, backward interpolation, Lagrange’s interpolation, Starling and Bessel’s interpolation, Numerical differentiation (1st and 2nd order), Numerical integration (Trapezoidal, Simpson’s one-third, Weddle’s rule).
Numerical Solution of Ordinary differential equation: Taylor’s method, Picard’s method, Runge’s method, Runge-Kutta’s method, Euler’s method, Euler’s modified method, Predictor-corrector method.