# Math 313 - Introduction to Linear Algebra

## SECTIONS AND INSTRUCTORS

Section information and links to instructor webpages are found here.

## FINAL EXAM

The Math 313 final exam is held in your usual classroom, on the date and time prescribed by the UA Calendar for Final Exams. To find the date and time, go to http://www.registrar.arizona.edu/students/courses/final-exams, select the current semester, then scroll down and click on the link for the Exam Schedule for Tu/Th or M/W/F classes (whichever matches your normal class meeting time).

## COURSE POLICIES

The SPECIFIC Course Policy for your Math 313 section should be made available to you by your instructor.

General Math 313 Course Policies

## COURSE MATERIALS

The following course materials are required for Math 313:

- “Linear Algebra and its Applications” by Lay, Lay, and McDonald, custom version for UA (5th edition), published by Pearson.
- Access to MATLAB software.

## PREREQUISITES

MATH 129, MATH 223, MATH 243, MATH 254, or CSC 245. Must not have taken MATH 310.

## LEARNING OUTCOMES:

By the end of the course, students should be able to:

- State precise definitions of key terms introduced in the course, including systems of linear equations, vectors, vector spaces, dimension, linear independence, matrix terminology, eigenvectors and eigenvalues.
- Carry out basic computations from linear algebra by hand, such as row reduction, determinant calculation, etc., as well as use MATLAB to carry out more intensive computations.
- Produce simple deductive arguments that follow from the definitions and justify steps in deductive arguments based on basic logical principles.
- Write sentences that explain the relation between key ideas in linear algebra and the algorithms that allow their calculation, e.g. the definition of a linearly independent set of vectors versus the computation of a linear independent set of vectors from a spanning set.

## USEFUL LINKS

## RESOURCES AND LINKS

- Linear Algebra Toolkit From P. Bogacki at Old Dominion University
- MIT Linear Algebra Course
- Linear Algebra Toolkit
- Khan Academy: Short video lectures on topics in linear algebra-- very good!
- Linear Algebra Visualization Assistant
- Linear Algebra Calculators
- Coordinate transformations overview page
- Transformation Game Overview page
- Vector Cross Product Java Tutorial
- Least Squares Demonstration
- How is Math used in Technology?
- Lights (a game whose solution is found using Linear Algebra)
- Materials for Linear Algebra
- Linear Algebra Wikipedia Page
- Matrices and Determinants
- Abstract Linear Spaces
- On the Centrality of Linear Algebra in the Curriculum

## MATLAB AND TUTORIALS

- Download Matlab using the University's Site License
- Matlab Dostert's Introduction 1: Running Matlab, basic commands, and calculator type work.
- Matlab Dostert's Introduction 2: Creating and running script files and functions.
- Matlab Dostert's Introduction 3: Creating and using vectors.
- Matlab Dostert's Introduction 4: Creating and using matrices.
- Matlab Dostert's Introduction 5: Plotting in 2D and 3D.
- Matlab Dostert's Introduction 6: Programming in Matlab.
- Dostert's Matlab primer (Run in Matlab. This contains most important commands for the entire semester.)
- Matlab download (only possible if you are on campus)
- Many Matlab tutorials (from Mathworks)
- Matlab cheat sheet (pdf file from MIT)
- Kermit Sigmon's Matlab Primer
- Another Tutorial (from U. Utah)