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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 · Português

4 modules11 lessons2 hr 49 min4 quizzes

SSyllabus Team

Nice to have before you start

You'll get more out of this if you've done:

  • Precalculus

Handy to be comfortable with:

  • Algebra: factoring, rational expressions, and solving inequalities
  • Functions and their graphs — polynomial, exponential, and logarithmic
  • Trigonometry: the unit circle and the basic identities

Part of a learning path

  • The Calculus SequenceCourse 1 of 2

Syllabus

Every lesson listed. Preview lessons are open — no account needed.

01Limits and Continuity3 lessons▾
  • Why Calculus? The Idea of a Limit14mfree
  • Computing Limits: Laws and Techniques15m🔒
  • Continuity and the Intermediate Value Theoremquiz13m🔒
02Derivatives3 lessons▾
  • The Derivative: Definition and Meaning15m🔒
  • Differentiation Rules: Power, Product, and Quotient16m

Free

free · yours forever

This course includes

  • ✓ 4 modules
  • ✓ 11 lessons
  • ✓ 2 hr 49 min
  • ✓ 4 quizzes
  • ✓ Certificate of completion
  • ✓ Lifetime access, incl. updates

Free

free · yours forever

This course includes

  • ✓ 4 modules
  • ✓ 11 lessons
  • ✓ 2 hr 49 min
  • ✓ 4 quizzes
  • ✓ Certificate of completion
  • ✓ Lifetime access, incl. updates

Free

free forever

🔒
  • 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🔒
    Syllabus

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