Chapter 1

Discrete Mathematics

Propositional and first order logic

medium • 1 min read

Sets

medium • 2 min read

Relations

medium • 3 min read

Functions

medium • 4 min read

Partial orders and lattices

medium • 5 min read

Chapter 2

Combinatorics

Counting

medium • 1 min read

Recurrence relations

medium • 2 min read

Generating functions

medium • 3 min read

Summation

medium • 4 min read

Binomial coefficients

medium • 5 min read

Chapter 3

Graph Theory

Connectivity

medium • 1 min read

Matching

medium • 2 min read

Coloring

medium • 3 min read

Eulerian and Hamiltonian graphs

medium • 4 min read

Trees

medium • 5 min read

Chapter 4

Linear Algebra

Matrices

medium • 1 min read

Determinants

medium • 2 min read

System of linear equations

medium • 3 min read

Eigenvalues and eigenvectors

medium • 4 min read

LU decomposition

medium • 5 min read

Chapter 5

Calculus

Limits, continuity and differentiability

medium • 1 min read

Maxima and minima

medium • 2 min read

Mean value theorem

medium • 3 min read

Integration

medium • 4 min read

Multiple integrals

medium • 5 min read

Chapter 6

Probability

Random variables

medium • 1 min read

Uniform, normal, exponential distributions

medium • 2 min read

Poisson, binomial distributions

medium • 3 min read

Conditional probability

medium • 4 min read

Bayes theorem

medium • 5 min read

Chapter 7

Statistics

Mean, median, mode

medium • 1 min read

Standard deviation

medium • 2 min read

Variance

medium • 3 min read

Correlation

medium • 4 min read

Regression analysis

medium • 5 min read

Chapter 8

Numerical Methods

Roots of equations

medium • 1 min read

Interpolation

medium • 2 min read

Numerical integration

medium • 3 min read

Newton's method

medium • 4 min read

Trapezoidal rule

medium • 5 min read