Mathematics

• How to Study Math
• K-5 Mathematics
• High School Courses
  • Algebra 1
  • Geometry
  • Algebra 2
  • Precalculus and Trig
• AP and College Courses
  • AP or College Calculus AB
  • AP or College Calculus BC
  • Multivariable Calculus
  • Linear Algebra
  • AP or College Statistics
  • Upper Level Mathematics
• Math Competitions
• Online Tools
• Other References

How to Study Math

• Understanding Mathematics - Links to resources talking about how to overcome problems encountered when reading, writing, interpreting, and listening to mathematics.

K-5 Mathematics

• eSpark - Free math lessons, games & activities for K-5.

High School Courses

Algebra 1

• Professor Leonard Prelagebra - Full length lectures for prealgebra by Professor Leonard.
• Professor Leonard Intermediate Algebra - Full length lectures for intermediate algebra by Professor Leonard.

Geometry

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Algebra 2

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Precalculus and Trig

• Professor Leonard Precalculus - Full length lectures for precalculus by Professor Leonard.

AP and College Courses

AP or College Calculus AB

• Essence of calculus - Youtube playlist explaining fundamentals of calculus through computer animation.
• Calculus 1 (limits, derivatives, integrals) full course - Youtube playlist explaining topics in calculus 1 by Dr. Trefor Bazett.
• Khan Academy AP Calculus AB - Articles, videos, and practice problems on calculus 1 by Khan Academy.
• Professor Leonard Calculus 1 - Full length lectures for Calculus 1 by Professor Leonard.
• Paul's Online Notes Calculus 1 - Lecture notes and practice problems for Calculus 1 by Paul Dawkins as taught at Lamar University.

AP or College Calculus BC

• Calculus 2 (Integration methods, series, polar, vectors) full course - Youtube playlist explaining topics in calc 2 by Dr. Trefor Bazett.
• Khan Academy AP Calculus BC - Articles, videos, and practice problems on calculus 2 by Khan Academy.
• Single Variable Calculus - Three-part course on single variable calculus by MIT OpenCourseWare.
• Professor Leonard Calculus 2 - Full length lectures for Calculus 2 by Professor Leonard.
• The AP Calculus Problem Book - A large list of practice problems for each topic in AP Calculus AB and BC.
• Paul's Online Notes Calculus 2 - Lecture notes and practice problems for Calculus 2 by Paul Dawkins as taught at Lamar University.
• AP Calculus BC Notes - Concise notes, examples, and study plan for 2023 AP Calculus BC exam.

Multivariable Calculus

• Multivariable Calculus (Vectors, Curves, Partial Derivatives, etc) - Youtube playlist explaining topics in multivariable calculus by Dr. Trefor Bazett.
• Khan Academy Multivariable Calculus - Articles, videos, and practice problems on multivariable calculus by Khan Academy.
• Vector Calculus (Line Integrals, Vector Fields, etc) - Youtube playlist explaining topics in vector calculus by Dr. Trefor Bazett.
• Multivariable Calculus - Full course on differential, integral, and vector calculus for multivariable functions by MIT OpenCourseWare.
• Professor Leonard Calculus 3 - Full length lectures for Calculus 3 by Professor Leonard.
• Paul's Online Notes Calculus 3 - Lecture notes and practice problems for Calculus 3 by Paul Dawkins as taught at Lamar University.
• OpenStax Calculus Volume 3 - Free digital multivariable calculus textbook from OpenStax by Rice University.

Linear Algebra

• Linear Algebra - Full course on matrix theory and linear algebra by MIT OpenCourseWare.
• 3Blue1Brown: Linear Algebra intuition - Not a full course, and is intended only to lay the foundation of the intuition. Playlist that animates several linear algebra concepts, making them easier to see.
• Kimberly Brehm's Linear Algebra. Full undergrad linear algebra course.
• Jim Hefferon's Linear Algebra. Entirely free linear algebra textbook with solutions.

AP or College Statistics

• Khan Academy AP/College Statistics - Articles, videos, and practice problems on introductory college statistics by Khan Academy.
• MIT Statistics Cheat Sheet - A cheat sheet on formulas, terms, and definitions in statistics by MIT.
• AP Statistics Cram - AP Statistics cram sheet with important concepts and formulas.

Upper Level Mathematics

• Napkin.pdf - An exposition project aimed at making higher math accessible to high school students by exploring topics in a succinct, progressive, and exploratory manner.

Upper Level Statistics

• Janos Englander's Intro to Probability - Has the textbook for Patrick Brazil, MIT Probability. Also has homework, but no videos.
• Patrick Brazil's Introduction to Probability - Calculus-based probability. Uses Sheldon Ross's A First Course in Probability, 8th edition (see Englander). Does not appear to publicly display notes, assignments.
• Jem Conrocran's Mathematical Statistics - Requires calculus-based probability, see above. Does not appear to publicly display notes, textbook, assignments.
• MIT Probability and Random Variables - Requires multivariable calculus. Uses Sheldon Ross's A First Course in Probability, 8th edition (see Englander). Has lecture notes, assignments, exams.
• MIT Statistics for Applications - Requires Probability and Random Variables. Has lecture notes, lecture videos, assignments, exams.

Math Competitions

• Art of Problem Solving - A website with a large number of practice high school math competition problems, with solutions and detailed explanations. It includes all the previous exam problems from the AMC 8, AMC 12, and AIME exams. It also has material on specific math-related topics such as number theory.

Online Tools

• Desmos - Graphing and scientific calculators.
• Symbolab - Math solver.
• WolframAlpha - Knowledge engine and math solver.
• GeoGabra - Online 3D graphing calculator.
• 4th Derivative Calculator - 4th Derivative Calculator.
• Indefinite Integration Calculator - Indefinite Integration Calculator.
• Mathigon - Free math courses, lessons, activities, and manipulatives for younger students in elementary and middle school.
• Finance Charts - Online tools for every-day finance calculations.

Other References

• MathWord - A math dictionary of terms, formulas, and diagrams.
• Math StackExchange - A Q&A site for any level of math.
• Math Overflow - A Q&A site for professional mathematicians.