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Calculus I

Master limits, derivatives, and integrals from first principles — a complete first-semester calculus course with worked examples and self-check quizzes.

Also available in: Español

4 modules11 lessons2 hr 49 min4 quizzeslifetime access

Syllabus Team

Syllabus

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01Limits and Continuity3 lessons
02Derivatives3 lessons
  • The Derivative: Definition and Meaning15m🔒
  • Differentiation Rules: Power, Product, and Quotient16m🔒
  • The Chain Rule and Implicit Differentiationquiz17m🔒
03Applications of Derivatives3 lessons
  • Related Rates and Linear Approximation15m🔒
  • Extrema, the Mean Value Theorem, and the Shape of Graphs16m🔒
  • Optimization: Finding the Bestquiz15m🔒
04Integration2 lessons
  • Antiderivatives, Area, and the Definite Integral16m🔒
  • The Fundamental Theorem of Calculus and Substitutionquiz17m🔒

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