Elements of Abstract and Linear Algebra is a book written by Dr. Edwin Connell, a professor emeritus in the math department at the University of Miami. Published in December 2001, it can be obtained free of charge from this Web site. Dr. Connell even encourages printing and distributing the book as an inexpensive resource for college students. The text is divided into sections that can be downloaded separately or as a whole. There are many theorems, proofs, and exercises throughout the book that illustrate the underlying concepts. The book is offered in four formats; so, most computers should be able to view it with no problems.

This is a course on the singular homology of topological spaces. Topics include: Singular homology, CW complexes, Homological algebra, Cohomology, and Poincare duality.

Watch this music video to help you learn about PEMDAS (Please Excuse My Dear Aunt Sally). Does this sound familiar? If not, this is an excellent device to memorize the algebraic order of operations. This video is produced by Mr. Davis Productions and plays music by Odyssey Sound Lab.

Students practice using algebraic expressions by recording data from a video segment in which two staircases ascend at different rates. They record the patterns in two-column tables, draw line graphs and write simple algebraic relations.

Many students learn math from examples/practice problems. While going through the solution to a problem, students are often faced with several issues. They may not see the connection between the concept taught in class and the solution. Others may not understand the solution because a step is missing or there are insufficient explanations. The main goal of this exercise book is to address these issues to help students learn the material more efficiently and get better results. The book is for students taking a first course in linear algebra. It contains a wide variety of problems with very detailed solutions, and it is self-contained, as the summary for every concept is provided.

A collection of relevant lessons to supplement your units in Algebra I/II. Mix these lessons into your course to show students the algebraic reasoning behind social issues, public health, the environment, business, sports, and more.

This workbook was created by mathematics instructors at Scottsdale Community College in Scottsdale, Arizona. It is designed to lead students through Intermediate Algebra, and to help them develop a deep understanding of the concepts. The included curriculum is broken into twelve lessons.

This site teaches Structure in Algebraic Expressions to High Schoolers through a series of 3482 questions and interactive activities aligned to 26 Common Core mathematics skills.

A work in progress, CK-12's Algebra I Second Edition is a clear presentation of algebra for the high school student. Topics include: Equations and Functions, Real Numbers, Equations of Lines, Solving Systems of Equations and Quadratic Equations.

The Inquiry-Oriented Linear Algebra (IOLA) project focuses on developing student materials composed of challenging and coherent task sequences that facilitate an inquiry-oriented approach to the teaching and learning of linear algebra. The project has also developed instructional support materials to help instructors implement the IOLA tasks in their classrooms.

How to cite IOLA materials: Wawro, M., Zandieh, M., Rasmussen, C., & Andrews-Larson, C. (2013). Inquiry oriented linear algebra: Course materials. Available at http://iola.math.vt.edu. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

This material is based upon work supported by the National Science Foundation under grant numbers DUE-1245673/1245796/1246083. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

Brought to you by Elizabeth Stapel and purplemath.com, this collection of learning modules contains over 100 mathematics modules designed to teach beginning, intermediate, and advanced algebra concepts. Some algebra topics include graphic linear equations; adding, subtracting, multiplying, and dividing polynomials; and solving linear and literal equations. Intermediate algebra topics include domain and range, even and odd functions, factor theorem, and solving systems of non-linear equations. Finally, advanced algebra topics include complex fractions, complex numbers, matrix addition and subtraction, and partial fraction decomposition. This is a great reference and teaching resource for teachers and students of introductory algebra courses. This is an especially good resource for teachers looking for in-class illustrations of fundamental algebra concepts.

This course is a first course in algebraic number theory. Topics to be covered include number fields, class numbers, Dirichlet's units theorem, cyclotomic fields, local fields, valuations, decomposition and inertia groups, ramification, basic analytic methods, and basic class field theory. An additional theme running throughout the course will be the use of computer algebra to investigate number-theoretic questions; this theme will appear primarily in the problem sets.

Algebra 2 Scales for ND Mathematics prioritized by ND High School Algebra teachers.

The main aims of this seminar will be to go over the classification of surfaces (Enriques-Castelnuovo for characteristic zero, Bombieri-Mumford for characteristic p), while working out plenty of examples, and treating their geometry and arithmetic as far as possible.

Engage students with more enjoyable vocabulary and introduction to a new chapter by having them complete a scavenger hunt. This tool is specifically designed for Algebra 1, chapter 1. 

CK-12 Foundation's Algebra FlexBook is an introduction to algebraic concepts for the high school student. Topics include: Equations & Functions, Real Numbers, Equations of Lines, Solving Systems of Equations & Quadratic Equations.

This set of problems for Linear Algebra in the open-source WeBWorK mathematics platform was created under a Round Eleven Mini-Grant for Ancillary Materials Creation. The problems were created for an implementation of the CC-BY Lyrix open textbook A First Course in Linear Algebra. Also included as an additional file are the selected and modified Lyryx Class Notes for the textbook.

Topics covered include:

Linear Independence
Linear Transformations
Matrix of a Transformation
Isomorphisms
Eigenvalues and Eigenvectors
Diagonalization
Orthogonality

The intention of this curriculum guide is to provide teachers with supplemental materials to use to support students in strengthening their skills in various concept areas that are crucial for understanding beginning algebra. The activities are broken down by skill with links provided below. This is intended as a way to provide students with engaging, primarily computer-based activities to get extra practice with material that is covered elsewhere in the curriculum. This collection focuses on simulations and games using the computer—some resources may be ripe for teachers to develop unique activities to accompany the simulation and some possible suggestions are included with the descriptions. This series is intended to be pick-and-choose.

In this Curriculum Guide:

Activities and practice with: Integers, Exponents, Order of Operations, Distributive Property, Expressions, Equations and Basic Graphing

Intermediate Algebra Student Workbook, modified by De Anza College's Professor Doli Bambhania, is based upon Intermediate Algebra Student Workbook, Fourth Edition, 2014, by Scottsdale Community College. The included content is designed to lead students through Intermediate Algebra, from a functions modeling approach, and to develop a deep understanding of the concepts associated with functions, from mathematical, computational and applications perspectives. The workbook assumes the knowledge of prealgebra, as well as topics surrounding linear and quadratic functions. Access to a graphing calculator is assumed and the use of one is required for some of the lessons and practice problems.

Students work with the concept of equality and balance to solve algebraic equations.