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MATH 110: Techniques of Calculus I

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MATH 110: Techniques of Calculus I

Page notifications On picture_as_pdf Readability Cite this page An openly licensed applied calculus textbook, covering derivatives, integrals, and an intro to multivariable calculus.

Mathematics
Author
Debbie Gaydos
Publisher
Penn State University, Greater Allegeheny
Source
LibreTexts
License
CC BY
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 40 sections
  1. 01: Review
  2. 1.01: Functions
  3. 1.02: Operations on Functions
  4. 1.03: Linear Functions
  5. 1.04: Exponents
  6. 1.05: Quadratics
  7. 1.06: Polynomials and Rational Functions
  8. 1.07: Exponential Functions
  9. 1.08: Logarithmic Functions
  10. 1.E: Review (Exercises)
  11. 02: The Derivative
  12. 2.00: Prelude to the Derivative
  13. 2.01: Limits and Continuity
  14. 2.02: The Derivative
  15. 2.03: Power and Sum Rules for Derivatives
  16. 2.04: Product and Quotient Rules
  17. 2.05: Chain Rule
  18. 2.06: Second Derivative and Concavity
  19. 2.07: Optimization
  20. 2.08: Curve Sketching
  21. 2.09: Applied Optimization
  22. 2.10: Other Applications
  23. 2.11: Implicit Differentiation and Related Rates
  24. 2.E: The Derivative (Exercises)
  25. 03: The Integral
  26. 3.00: Prelude to the Integral
  27. 3.01: The Definite Integral
  28. 3.02: The Fundamental Theorem and Antidifferentiation
  29. 3.03: Antiderivatives of Formulas
  30. 3.04: Substitution
  31. 3.05: Additional Integration Techniques
  32. 3.06: Area Volume and Average Value
  33. 3.07: Applications to Business
  34. 3.08: Differential Equations
  35. 3.E: The Integral (Exercises)
  36. 04: Functions of Two Variables
  37. 4.01: Functions of Two Variables
  38. 4.02: Calculus of Functions of Two Variables
  39. 4.03: Optimization
  40. 4.E: Functions of Two Variables (Exercises)