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Paul's Online Math Notes

Descriptions

  • Source: Paul Dawkins (Lamar University)
  • Prerequisites: High school math
  • Difficulty: 🌟🌟 ~ 🌟🌟🌟
  • Class Hour: Varies

Paul's Online Math Notes is a free math notes series written by Professor Paul Dawkins of Lamar University. It is one of the best free notes for university-level calculus and linear algebra.

The notes are known for being detailed, clear, with extensive worked examples. Unlike textbooks that emphasize axiomatic derivations, Paul's notes focus on "how to compute" and "how to apply."

Resources

Content Structure

Calculus I

  • Limits and continuity
  • Derivatives and differentiation
  • Applications of derivatives
  • Integration
  • Applications of integration

Calculus II

  • Techniques of integration
  • Parametric equations and polar coordinates
  • Infinite series
  • Taylor series

Calculus III

  • Vectors and analytic geometry
  • Partial derivatives
  • Multiple integrals
  • Line and surface integrals

Linear Algebra

  • Linear systems and matrices
  • Determinants
  • Vector spaces
  • Eigenvalues and eigenvectors

Self-Study Tips

Use alongside formal courses. Paul's notes are best for review after watching formal lecture videos.

Focus on the worked examples. The notes' greatest value is the extensive collection of detailed examples.

Do the practice problems. Each chapter has practice problems with solutions.

Notes

Paul's Online Math Notes is recommended by many students in China for graduate entrance exam preparation. The examples are moderately difficult and great for exam prep.

Note: The URLs may change over time. If the links don't work, search "Paul's Online Math Notes" on Google.