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Khan Academy Math Courses

Descriptions

  • Source: Khan Academy (Salman Khan)
  • Prerequisites: None, beginner-friendly
  • Difficulty: 🌟 ~ 🌟🌟🌟
  • Class Hour: Varies

Khan Academy is the world's largest free online education platform, founded by Salman Khan. Its math courses cover everything from elementary to university level, completely free.

Khan Academy's hallmark: short videos + extensive exercises + instant feedback. Each video is 5-15 minutes, covering one concept, followed by practice problems.

Resources

Calculus Path

  1. AP Calculus AB → Equivalent to Calculus I
  2. AP Calculus BC → Equivalent to Calculus II
  3. Multivariable Calculus

Linear Algebra Path

  1. Linear Algebra (foundations)
  2. Matrix Transformations

Probability Path

  1. Statistics and Probability (foundations)
  2. AP Statistics

Discrete Math Path

  1. Combinatorics
  2. Cryptography (involves number theory)

Self-Study Tips

Use Khan Academy for pre-class preview and post-class review. Its short videos are great for quick concept building.

Do the exercises. Khan Academy's exercise system provides instant feedback.

Use alongside formal courses. Khan Academy is best as a supplement, not a sole learning resource.

Notes

Khan Academy is completely free with no ads. It operates on donations and volunteer translations.

If your English is limited, use the Chinese version (zh.khanacademy.org), though it has less comprehensive coverage than the English version.