Course Objectives
- 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.
General Math 313 Information
The specific calendar & policy for your Math 313 section should be made available to you by your instructor.
The general policies and calendar can be found below.
- Textbook:
- sections 001-009:
- Linear Algebra and its Applications by Lay, Lay, and McDonald, custom version for UA (5th edition), published by Pearso
- accessed through d2l and charged to Bursar's account)
- Linear Algebra and its Applications by Lay, Lay, and McDonald, custom version for UA (5th edition), published by Pearso
- section 103, 203, 403:
- Linear Algebra: A Modern Introduction by Poole (4th edition) published by Cengage.
- accessed through d2l and charged to Bursar's account
- Linear Algebra: A Modern Introduction by Poole (4th edition) published by Cengage.
- sections 001-009:
- MATLAB:
- Access to MATLAB software.
- Enrollment Requirements/Eligibility:
- Students must meet eligibility requirements.
- See the Math Course Placement Chart HERE.
Resources & Links
- Linear Algebra Toolkit (from P. Bogacki at Old Dominion University)
- Linear Algebra Video Lectures (Khan Academy -- very good!)
- Linear Algebra Visualization Assistant
- Linear Algebra Calculators
- 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 & 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; contains most important commands for the entire semester.)
- MATLAB tutorials (MathWorks)
- MATLAB Cheat-sheet (MIT)
- MATLAB Primer (Kermit Sigmon)
- MATLAB Tutorial (U. Utah)
