Root Finding and Equation Solving
  • Finding roots of polynomials using roots
  • Finding roots of nonlinear functions using fzero
  • Solving system of nonlinear equations using fsolve
  • Solving system of linear equations using linsolve
Linear Algebra
  • Eigenvalues and Eigenvectors in MATLAB
  • Singular Value Decomposition in MATLAB
Interpolation and Curve Fitting
  • Polynomial Fitting using polyfit
  • Interpolation Using interp1 to interpn
  • Interpolation Using interpft
  • Interpolation using Cubic Splines
  • Interpolation Using griddata in 2D and 3D Spaces
Numerical Integration and Differentiation
  • Numerical Integration using integral and quadgk
  • Double and triple integrals
  • Discrete integrals and summations
  • Numerical Differentiation
Working with Polynomials
  • Working with Polynomials in MATLAB
Differential Equations
  • Solving Ordinary Differential Equations (ODEs)
  • Solving Boundary Value Problems (BVPs)
  • Solving Delayed Differential Equations (DDEs)
  • Linear Programming and Mixed-Integer LP
  • Quadratic Programming
  • Constrained and Unconstrained Nonlinear Optimization