05:02

Laplace transform for solving IVPS

05:14

Inverse Laplace transform

05:16

Introduction to Laplace transforms

05:59

Power series method, example of 2nd order ODE

03:38

Radius of convergence

07:26

The power series method

02:46

Termwise differentiation of a power series

06:32

Intro and review of power series

06:56

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

04:42

Mathematical Models using 1st order ODEs

10:08

Exact Differential equations

08:08

Benoulli equations

05:00

Substitution methods part 2

05:16

Substitution Methods part 1

06:24

Infinite series - The Geometric series

06:35

Infinite Series - Partial sums

08:40

Sequences - Increasing, decreasing, bounded and monotonic sequences

07:58

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

09:24

Approximate Integration - Midpoint rule

09:03

integration and partial fractions - Some more examples

09:02

Partial fractions - Cases 3 and 4

11:53

Trigonometric Substitutions

10:58

Integration by parts - Do's and don'ts

04:10

Factorisation - Difference of two squares

11:07

Factorisation - General quadratics case 2

11:52

Factorisation - General quadratics

05:02

Composite Simpsons Rule - how to use the formula

15:28

Numerical Integration - Gaussian-Legendre Quadrature

17:17

Numerical Integration - Gaussian Quadrature

18:37

Newton's method for solving nonlinear systems of Algebraic equations

08:33

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

11:47

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

13:59

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

09:39

Numerical methods for ODEs - Predictor-Corrector example

11:11

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

18:03

Numerical methods for ODEs - Multistep methods - Adams Bashforth

09:25

Numerical Methods for ODEs - Runge-Kutta example

09:15

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

15:54

Numerical methods for ODEs - Intro to Runge-Kutta

11:00

Numerical methods for ODEs - Truncation error and the order

06:36

Numerical Methods for ODEs - Euler's method example

08:46

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

02:11

Introduction to my Channel

01:15

correction

12:02

Numerical Methods for Linear Systems - SOR

10:34

Numerical solutions of linear systems - Criteria for convergence of any initial guess

10:08

Math online tools

11:36

Numerical Solutions of Linear Systems - Jacobi and Gauss-Seidel Matrix forms

09:32

Numerical Solutions of Linear Systems - The Gauss-Seidel method with an example

06:57

Numerical Solutions of Linear Systems - Using excel with iterative methods

09:29

Numerical Solutions of Linear Systems - The Jacobi Method with example

02:54

Numerical Solutions of Linear Systems - Iterative methods in 2 mins

18:57

Numerical Solutions of Linear Systems - LU Factorisation/Decomposition

21:20

Numerical Solutions of Linear Systems - Error Analysis - Condition number

09:07

Numerical Solutions of Linear Systems - Error Analysis

10:31

Numerical Solutions of Linear Systems - Cholesky Decomposition/Factorisation

16:40

Numerical Integration - Composite Trapezoidal and Simpson's rules

08:04

Numerical Solutions of Linear Systems - Special matrices

10:09

Numerical Solutions of Linear Systems - Pivoting strategies

04:36

Numerical Solutions of Linear Systems - Introduction continued