Active Prelude to Calculus

by Matthew Boelkins, David Austin & Steven Schlicker

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This text is designed for college students who aspire to take calculus and who either need to take a course to prepare them for calculus or want to do some additional self-study. Many of the core topics of the course will be familiar to students who have completed high school. At the same time, we take a perspective on every topic that emphasizes how it is important in calculus. The reader will find that the text requires them to engage actively with the material.

Description from LibreTexts.

Publisher
Grand Valley State University
Subjects
Mathematics, Precalculus
Licence
CC BY-SA 4.0, as LibreTexts states it
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Relating Changing Quantities
  7. 1.1: Changing in Tandem
  8. 1.2: Functions- Modeling Relationships
  9. 1.3: The Average Rate of Change of a Function
  10. 1.4: Linear Functions
  11. 1.5: Quadratic Functions
  12. 1.6: Composite Functions
  13. 1.7: Inverse Functions
  14. 1.8: Transformations of Functions
  15. 1.9: Combining Functions
  16. 2: Circular Functions
  17. 2.1: Traversing Circles
  18. 2.2: The Unit Circle
  19. 2.3: The Sine and Cosine Functions
  20. 2.4: Sinusoidal Functions
  21. 3: Exponential and Logarithmic Functions
  22. 3.1: Exponential Growth and Decay
  23. 3.2: Modeling with exponential functions
  24. 3.3: The special number e
  25. 3.4: What a logarithm is
  26. 3.5: Properties and applications of logarithmic functions
  27. 3.6: Modeling temperature and population
  28. 4: Trigonometry
  29. 4.1: Right triangles
  30. 4.2: The Tangent Function
  31. 4.3: Inverses of trigonometric functions
  32. 4.4: Finding Angles
  33. 4.5: Other Trigonometric Functions and Identities
  34. 5: Polynomial and Rational Functions
  35. 5.1: Infinity, limits, and power functions
  36. 5.2: Polynomials
  37. 5.3: Modeling with polynomial functions
  38. 5.4: Rational Functions
  39. 5.5: Key features of rational functions
  40. Back Matter
  41. Index
  42. Glossary
  43. Detailed Licensing