VBA Crash Course
  • Setting Up Excel_VBA
  • For-Next Loop
  • Do-While Loop
  • Nested Loops
  • If-Else Statement
  • Factorial
  • In-built Functions
Taylor Series & Functions
  • Taylor Series & Exp(x) - Concept
  • Taylor Series & Exp(3x) + Code + Difference between True & Approximate Error
Numerical Differentiation
  • Conventional Finite Difference Approximation of 1st Derivative - Concept
  • Finite Difference Approximation of 1st Derivative Code + Comparison
  • Finite Difference Approximation of 2nd Derivative - Concept + Code + Comparison
  • High Accuracy Finite Difference Approximation of 1st & 2nd Derivative
Numerical Integration
  • Trapezoidal Rule
  • Simpson's 1/3 Rule
  • Romberg Integration
Ordinary Differential Equations
  • Euler's Method
  • Heun's, Midpoint & Ralston Methods
  • Fourth order Runge-Kutta & General Runge-Kutta Method
Roots of Equations
  • Bracketing Methods - Bisection Method
  • Bracketing Methods - False Position Method & How it Compares to Bisection
  • Open Methods - Newton Raphson and how it compares to Bracketing Methods
  • Open Methods - Secant Method and how it compares to Newton Raphson
  • Multiple Roots
  • Goal Seek & Solver
Optimization
  • Introduction to Optimization
  • Analytical Solutions of Optimization Problems
  • Newton Raphson to Find optimums
  • Golden Section Search Method
  • Gradient Descent Method
Linear Algebraic Equations
  • Arrays
  • Matrix Properties & manipulations
  • Gauss Elimination - Concept
  • Gauss Elimination - Code
  • Gauss Elimination with partial pivoting
  • Gauss Jordan
  • LU Decomposition
  • LU Decomposition By Generating A inverse
Curve Fitting
  • Linear Regression
  • Polynomial Regression
  • Linearization
  • Cubic Spline