Below is a list of free online mathematics resources that I have put together as part of my job as a mathematics tutor. Along with the link to the website you will also find my notes on what resources the site offers (e.g. lessons, study guides), what mathematics subjects the site covers, as well as some comments I made about the site. Please note that the sites with an asterisk (*) contain resources for other subjects (e.g., Biology, Chemistry, etc.).
Khan Academy*
Resources: Exercises, Worked Examples, Videos
Subjects: Pre-Algebra, Algebra, Geometry, Pre-Calculus, Calculus, Trigonometry, Probability, Statistics, Differential Equations, Linear Algebra
Notes: Excellent resource for review or study session.
UC College Prep*
http://uccollegeprep.org/index.php/students
Resources: Lessons, Multimedia Videos
Subjects: Algebra I, AP Calculus AB/BC
Notes: Resource mainly directed towards high schools students preparing to enter college. This resource could be used as review or study guide.
Math.com
Resources: Practice, Games, Formulas, Tables, Worksheets
Subjects: Basic Math to Calculus
Notes: Excellent resource for reviewing or studying.
Wolfram Math World
Resources: Definitions, Descriptions, Examples
Subjects: Advance Mathematics
Notes: Excellent resource for reviewing definitions and descriptions in Advance Mathematics.
Illuminations
http://illuminations.nctm.org/
Resources: Activities, Lessons, Standards
Subjects: K-12 Mathematics
Notes: This website is intended for helping high school teachers however offers resources such as activities and lessons plans that could prove useful in tutoring math students.
MIT: Highlights for High School*
http://ocw.mit.edu/high-school/
Resources: Videos, Lecture Notes, Exams & Solutions, Assignments & Solutions
Subjects: Calculus, Probability, Combinatorics
Notes: This site is intended for high school students however could be used as a resource for students studying Calculus, Probability, or Combinatorics in college.
3D Function Grapher
http://www.math.uri.edu/~bkaskosz/flashmo/graph3d/
Notes: Online 3D function grapher that graphs three dimensional functions. This is an excellent source for students taking Multivariable Calculus (MATH 220).
HyperMath Concepts
http://hyperphysics.phy-astr.gsu.edu/hbase/hmat.html#hmath
Resources: Definitions and Descriptions
Subjects: Algebra, Trigonometry, Geometry, Calculus, Linear Algebra, Vectors, Exponents, Logarithms
Notes: Not very useful for getting extra practice but useful in clarifying definitions and understanding concepts.
Paul’s Online Math Notes
http://tutorial.math.lamar.edu/
Resources: Lecture notes by Paul Dawkins at Lamar University, Cheat Sheets & Tables
Subjects: Algebra, Calculus, Linear Algebra, Differential Equations
Notes: Useful for reviewing and studying concepts.
GraphFunc Online
http://graph.seriesmathstudy.com/
Notes: Online (beta) program used to graph functions on two and three coordinate systems. Useful for exploring functions in Calculus but can be used in other subjects as well.
S.O.S. Math
Resources: Explanations, Descriptions, Definitions, Examples
Subject: Algebra, Trigonometry, Differential Equations, Calculus, Complex Variables, and Matrix Algebra
Notes: Good resource for reviewing/studying topics.
Math Centre
Resources: iPod videos, Practice Exercises, Test Exercises, Quick Reference, Leaflets
Subjects: Algebra to Calculus
Notes: Excellent source for reviewing/studying concepts. Please note that the site is based in the U.K. while the math is the same the resources maybe slightly different than what we’re used to.
iTunes U*
http://deimos3.apple.com/WebObjects/Core.woa/Browse/itunesu.com.1555825090 (iTunes Link)
Resources: Podcasts, Practice Exercises (only available on certain podcasts), Tests & Quizzes (only available on certain podcasts)
Subjects: Algebra to Advanced Mathematics
Notes: Excellent source for reviewing/studying concepts of mathematics. iTunes U offers various podcasts from many colleges and universities for free. Some podcasts contain PDFs of practice exercises, tests, quizzes, and other reference materials.