MATH 293-294 Problems

A compilation of prelim and exam problems.

Sorted by subject. Only a few solutions.

Last revised Jan 24, 2001, all problems Copywrite Cornell University 2000, 2001

 

These problems from Math 293 and Math 294 at Cornell have been collected and organized by undergraduates Prapun Suksompong, Metha Jeeradit, and Thu Dong. The project was initiated and supervised by Andy Ruina.

Tex sources are available for experts. As Chapters 1, 3 , 4 were done by a one person and Chapters 2, 5, 6 were done by another person, they have organized their *.tex files differently. Hence, Chapters 1, 3, and 4 tex files are in one zip file per chapter while Chapter 2, 5, and 6 tex files have a tex file for each section.

Click on the pdf file or solution file next to the topic of your interest.

Chapter  1

Beginning Linear Algebra   Chapter 1 tex (zip file)

1.1

Introduction to Linear Systems and Row Reduction

pdf

solution

1.2

Solution Sets of Ax=b

pdf

solution

1.3

Vector and Matrix Equations

pdf

solution

1.4

Linear Transformation I

pdf

solution

1.5

Linear Independence

pdf

solution

1.6

Matrix Operations

pdf

solution

1.7

Special Matrices

pdf

solution

1.8

Matrix Inverse

pdf

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   Chapter 3 tex (zip file)

3.1

1st  Order ODEs

pdf

solution

3.2  

2nd and Higher Order ODEs

pdf

solution

3.3

System of ODEs

pdf

solution

Chapter 4

Multi-Variable Integral Calculus  Chapter 4 tex (zip file)

4.1

General 2D Intergrals

pdf

solution

4.2

Line Integrals

pdf

solution

4.3

Green

pdf

solution

4.4

General 3D Integrals

pdf

solution

4.5

Surface Area

pdf

solution

4.6

3D Flux and Divergence

pdf

solution

4.7

Stokes

pdf

solution

Chapter 5

Fourier Series 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 are zipped and can be downloaded here.

A giant collection of files that includes the whole data set and all source material used to generate this data set is here (60 megabytes).