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 solution 1.2 Solution Sets of Ax=b solution 1.3 Vector and Matrix Equations solution 1.4 Linear Transformation I solution 1.5 Linear Independence solution 1.6 Matrix Operations solution 1.7 Special Matrices solution 1.8 Matrix Inverse solution

Chapter 2

More Linear Algebra

 2.1 Determinants tex solution 2.2 Introduction to Bases tex solution 2.3 Vector Spaces tex solution 2.4 Coordinates tex solution 2.5 Spaces of a Matrix and Dimension tex solution 2.6 Finite Difference Equations tex solution 2.7 Eigen-stuff tex solution 2.8 Linear Transformation II tex solution 2.9 Orthogonality tex solution 2.1 Orthogonal Projection tex solution 2.11 Inner Product Spaces tex soluton

Chapter 3

Ordinary Differential Equations   Chapter 3 tex (zip file)

 3.1 1st  Order ODEs solution 3.2 2nd and Higher Order ODEs solution 3.3 System of ODEs solution

Chapter 4

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

 4.1 General 2D Intergrals solution 4.2 Line Integrals solution 4.3 Green solution 4.4 General 3D Integrals solution 4.5 Surface Area solution 4.6 3D Flux and Divergence solution 4.7 Stokes solution

# Chapter 5

Fourier Series and Partial Differential Equations

 5.1 Fourier tex solution 5.2 General PDEs tex solution 5.3 Laplace Equation tex solution 5.4 Heat Equation tex solution 5.5 Wave tex solution

# Chapter 6

Outliers

 6.1 Some Geometry and Kinematics 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).