07:49

Numerical Solutions of Linear Systems - Introduction

16:30

Numerical Integration - Newton-Cotes Formulae

07:33

Numerical Integration - Romberg Integration - example

12:24

Numerical Integration - Romberg Integration

18:07

Interpolation - Cubic Splines - example

20:20

Interpolation - Newton's Divided differences - Basics

22:15

Interpolation - Cubic Splines - Basics

07:24

Interpolation - Divided differences example

10:28

Interpolation - Divided differences algorithm

10:58

Interpolation - Lagrange poly interpolation error bounds for approximations of functions

06:57

Interpolation - Approximating functions using Lagrange Interpolation

15:39

Interpolation - Lagrange Polynomials

11:56

Interpolation - Vandermonde matrix

08:18

Interpolation - Basics, why polynomial interpolation

09:46

Order of convergence - computing and examples

13:44

Newton's Method - idea and example

07:38

Fixed-point iteration method - convergence and the Fixed-point theorem

03:35

Fixed point iteration method - Algorithm

09:53

Fixed point iteration method - idea and example

04:44

Bisection method - error bound

07:56

Bisection method - an example

11:41

Bisection Method - Algorithm

10:10

Bisection method - idea and intro

05:09

The ICAMCB

06:19

The Divergence Theorem

05:35

Orientation of surfaces and paths used in Stokes theorem

18:00

Surface integrals of vector fields

11:13

Stokes' Theorem

03:54

Parameterisation of a surface of revolution

11:07

Surface integrals

04:47

Regions and Paths

12:28

Conservative vector fields and associated ideas

06:27

Equation of the tangent plane to a surface

07:31

Parametric surfaces

11:30

Line integral of vector fields

15:24

Line Integrals

03:21

Divergence of a vector field

05:50

The Curl of vector field

11:18

Greens Theorem

10:19

Vector Fields

16:55

Triple Integral - Spherical polar coordinates

07:05

Triple integrals - Cylinderical polar coordinates

15:13

Triple integrals - getting to know them and computing them

04:06

Computing Surface areas using double integrals

12:01

Double Integrals - polar coordinates

14:21

Double integrals - examples including volumes

15:26

Nonhomogeneous 2nd order ODEs with constant coefficients (comparison of coefficients)

09:27

Lagrange multipliers and constrained optimization with two constraints

12:35

2nd order linear ODEs with constant coefficients

04:50

2nd order, linear, homogeneous ODEs with constant coefficients, example

05:17

First order ODEs - Integrating factor method

06:57

Second order ODEs - Reducible to 1st order

20:56

Double Integrals - understanding and computing

16:06

Classifying Differential equations

05:39

Separable 1st order ODEs

19:33

Lagrange multipliers and finding the max/min values of functions under constraints

10:17

Getting to know Double integrals - basics

13:11

Finding the absolute maximum and minimum values of a multivariate function

21:57

Finding maximum and minimum values of multivariate functions

10:52

The Directional derivative