The Math Guy

Laplace transform for solving IVPS

Inverse Laplace transform

Introduction to Laplace transforms

The Laplace transform

Power series method, example of 2nd order ODE

Radius of convergence

The power series method

Termwise differentiation of a power series

Radius of convergence, #shorts

The power series method, basics #shorts

Changing the index of summation #shorts

Term wise differentiation of a power series #shorts

Intro and review of power series

2nd Order, non-homogeneous, constant coefficients (Variation of Parameters)

Mathematical Models using 1st order ODEs

Exact Differential equations

Benoulli equations

Substitution methods part 2

Substitution Methods part 1

Infinite series - The Geometric series

Infinite Series - Partial sums

Sequences - Increasing, decreasing, bounded and monotonic sequences

Convergence and Divergence of a sequence - The squeeze theorem and another short theorem

Approximate Integration - Midpoint rule

integration and partial fractions - Some more examples

Partial fractions - Cases 3 and 4

Trigonometric Substitutions

Integration by parts - Do's and don'ts

Factorisation - Difference of two squares

Factorisation - General quadratics case 2

Factorisation - General quadratics

Composite Simpsons Rule - how to use the formula

Numerical Integration - Gaussian-Legendre Quadrature

Numerical Integration - Gaussian Quadrature

Newton's method for solving nonlinear systems of Algebraic equations

Numerical methods for ODEs - Runge-Kutta for Higher order ODES - example

Numerical methods for ODEs - Solving higher order ODEs with Runge-Kutta

Numerical methods for ODEs - Runge-Kutta for systems of ODES

Numerical methods for ODEs - Predictor-Corrector example

Numerical Methods for ODEs - Multistep methods - predictor-corrector methods

Numerical methods for ODEs - Multistep methods - Adams Bashforth

Numerical Methods for ODEs - Runge-Kutta example

Numerical Methods for ODEs - RK2 and Euler example in excel with errors

Numerical methods for ODEs - Intro to Runge-Kutta

Numerical methods for ODEs - Truncation error and the order

Numerical Methods for ODEs - Euler's method example

Numerical Methods for ODEs - Forward/Backward difference operators, Ruler's method

Introduction to my Channel

correction

Numerical Methods for Linear Systems - SOR