List of topics covered in the programme
Unit I: Differential Calculus
Limits and differentiation-Derivative of functions- Derivative interactive graphs-Differential Equations in Physics
Unit II: Integral Calculus
Finite sums- Limits of finite sums-Definite integrals-Integration of functions-Fundamental theorem of calculus
Unit III: Determinant and Matrix
Basics of determinants and matrices-Types of matrices- Simultaneous linear equations-Eigenvalue and eigenvectors-Matrices in Physics
Unit IV: Vector Calculus
Differentiation of vectors-Gradient, divergence, curl-Integration of vectors-line, surface and volume integral
Unit V: Few Basic Functions in Physics
Plotting of functions-Beta and Gamma Function-Riemann Zeta Function-Dirac Delta Function
Unit VI: Probability and Statistics
Probability, Multiplicity, Combinatorics-Bernoulli Distribution-Poisson and Gaussian Distribution-Boltzmann, Power Law, Lorentzian Distribution