Chapter 1

Linear Algebra

Matrix algebra

medium • 1 min read

Determinants

medium • 2 min read

Linear equations

medium • 3 min read

Eigenvalues

medium • 4 min read

Eigenvectors

medium • 5 min read

Chapter 2

Calculus

Limits

medium • 1 min read

Continuity

medium • 2 min read

Derivatives

medium • 3 min read

Integrals

medium • 4 min read

Mean value theorem

medium • 5 min read

Chapter 3

Differential Equations

First order

medium • 1 min read

Linear higher order

medium • 2 min read

Cauchy-Euler

medium • 3 min read

Laplace transform

medium • 4 min read

Boundary value

medium • 5 min read

Chapter 4

Complex Variables

Analytic functions

medium • 1 min read

Cauchy-Riemann

medium • 2 min read

Taylor series

medium • 3 min read

Laurent series

medium • 4 min read

Residue theorem

medium • 5 min read

Chapter 5

Probability

Bayes theorem

medium • 1 min read

Random variables

medium • 2 min read

Binomial distribution

medium • 3 min read

Poisson

medium • 4 min read

Normal

medium • 5 min read

Chapter 6

Numerical Methods

Lagrange interpolation

medium • 1 min read

Trapezoidal rule

medium • 2 min read

Simpson's rule

medium • 3 min read

Runge-Kutta

medium • 4 min read

Iteration

medium • 5 min read

Chapter 7

Vector Calculus

Gradient

medium • 1 min read

Divergence

medium • 2 min read

Curl

medium • 3 min read

Gauss theorem

medium • 4 min read

Stokes theorem

medium • 5 min read

Chapter 8

Partial Differential

Separation of variables

medium • 1 min read

Wave equation

medium • 2 min read

Heat equation

medium • 3 min read

Laplace equation

medium • 4 min read

Fourier series

medium • 5 min read