Calculus I Notes

by Kevin Palencia

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Publisher
Northern Illinois University
Subjects
Mathematics
Licence
CC BY 4.0, as LibreTexts states it
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

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  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. Preface
  7. Introduction
  8. 1: Limits and Continuity
  9. 1.1: The Limit of a Function
  10. 1.2: The Limit Laws
  11. 1.3: Continuity
  12. 2: Derivatives
  13. 2.1: The Definition of the Derivative
  14. 2.2: The Derivative as a Function
  15. 2.3: Differentiation Rules
  16. 2.4: Derivatives as Rates of Change
  17. 2.5: Derivatives of Trigonometric Functions
  18. 2.6: The Chain Rule
  19. 2.7: Derivatives of Inverse Functions
  20. 2.8: Implicit Differentiation
  21. 2.9: Derivatives of Exponential and Logarithmic Functions
  22. 3: Applications of Derivatives
  23. 3.1: Related Rates
  24. 3.2: Linear Approximation
  25. 3.3: The Mean Value Theorem
  26. 3.4: Maxima and Minima
  27. 3.5: Relationship between Derivatives and the Shape of a Graph
  28. 3.6: Limits at Infinity, Horizontal Asymptotes, and How to Use Calculus to Sketch the Graph of a Function
  29. 3.7: Applied Optimization Problems
  30. 3.8: L'Hôpital's Rule
  31. 3.9: Newton's Method
  32. 3.10: Antiderivatives
  33. 4: Introduction to Integrals
  34. 4.1: Riemann Sums
  35. 4.2: The Definite Integral
  36. 4.3: The Fundamental Theorem of Calculus
  37. 4.4: The Substitution Rule
  38. Back Matter
  39. Index
  40. Glossary
  41. Detailed Licensing
  42. Detailed Licensing