MATH 293-294

 

Chapter  1

Beginning Linear Algebra

1.1

Introduction to Linear Systems and Row Reduction

pdf

tex solution

1.2

Solution Sets of Ax=b

pdf

tex solution

1.3

Vector and Matrix Equations

pdf

tex solution

1.4

Linear Transformation I

pdf

tex solution

1.5

Linear Independence

pdf

tex solution

1.6

Matrix Operations

pdf

tex solution

1.7

Special Matrices

pdf

tex solution

1.8

Matrix Inverse

pdf

tex solution

Chapter 2

More Linear Algebra

2.1

Determinants

pdf

tex solution

2.2

Introduction to Bases

pdf

tex solution

2.3

Vector Spaces

pdf

tex solution

2.4

Coordinates

pdf

tex solution

2.5

Spaces of a Matrix and Dimension

pdf

tex solution

2.6

Finite Difference Equations

pdf

tex solution

2.7

Eigen-stuff

pdf

tex solution

2.8

Linear Transformation II

pdf

tex solution

2.9

Orthogonality

pdf

tex solution

2.10

Orthogonal Projection

pdf

tex solution

2.11

Inner Product Spaces

pdf

tex soluton

Chapter 3

Ordinary Differential Equations

3.1

1st  Order ODEs

pdf

tex solution

3.2  

2nd and Higher Order ODEs

pdf

tex solution

3.3

System of ODEs

pdf

tex solution

Chapter 4

Multi-Variate Integral

4.1

General 2D Intergrals

pdf

tex solution

4.2

Line Integrals

pdf

tex solution

4.3

Green

pdf

tex solution

4.4

General 3D Integrals

pdf

tex solution

4.5

Surface Area}

pdf

tex solution

4.6

3D Flux and Divergence

pdf

tex solution

4.7

Stokes}

pdf

tex solution

Chapter 5

Fourier and Partial Differential Equations

5.1

Fourier

pdf

tex solution

5.2

General PDEs

pdf

tex solution

5.3

Laplace Equation

pdf

tex solution

5.4

Heat Equation

pdf

tex solution

5.5

Wave

pdf

tex solution

Chapter 6  

Outliers

6.1

Some Geometry and Kinematics

pdf

tex solution

 

The rest of the files is zipped and can be downloaded here.