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Precalculus: An Inquiry-Based Approach by William Mahavier, Paul Howard




Precalculus: An Inquiry-Based Approach - Table of Contents

  • 1. Graphing
  • 2. Radian Measure
  • 3. Numbers and Lines
  • 4. Trigonometrics and Functions
  • 5. Polynomials
  • 6. Trigonometric Equations
  • 7. Rationals
  • 8. Trigonometric Identities
  • 9. Inverses
  • 10. Inverse Trigonometrics
  • 11. Exponentials and Logarithmics
  • 12. Law of Sines and Law of Cosines
  • 13. Polar Coordinates
  • 14. Rate of Change
  • 15. Conic Sections
  • 16. Conclusion

What You Will Learn in Precalculus: An Inquiry-Based Approach

Precalculus: An Inquiry-Based Approach by William Mahavier and Paul Howard is an innovative, student-centered textbook designed to build deep mathematical comprehension through active problem-solving and discovery. Moving away from passive memorization, the text guides learners through core preparatory concepts across its structured chapters: Graphing and Radian Measure, Numbers, Lines, and Functions, Trigonometric Functions and Identities, Polynomial and Rational Functions, Exponentials and Logarithms, Laws of Sines and Cosines, Polar Coordinates and Conic Sections, and an introduction to Rate of Change.

This book serves as an invaluable guide for undergraduate students and high school seniors preparing for calculus who want to develop genuine mathematical intuition and critical thinking skills. Mahavier and Howard structure each topic to encourage active inquiry, ensuring readers build a robust foundation for advanced calculus and analysis.

Due to its unique inquiry-based pedagogy, it is widely recognized as an outstanding resource for active-learning classrooms and self-directed learners. Rather than simply providing formulas, it equips learners with the analytical reasoning tools necessary for success in university-level calculus and quantitative disciplines.

Book Details & Specifications

Title: Precalculus: An Inquiry-Based Approach by William Mahavier, Paul Howard
Publisher: Oklahoma Christian University
Year: 2023
Pages: 152
Type: PDF
Language: English
ISBN-10 #: N\A
ISBN-13 #: N\A
License: External Educational Resource
Amazon: Amazon

About the Author: William Mahavier

The author William Mahavier and Paul K. Howard are respected mathematics educators and advocates for inquiry-based learning (IBL), dedicated to transforming how foundational mathematics is taught through student-centered discovery.

Through Precalculus: An Inquiry-Based Approach, the authors successfully designed a framework that empowers students to construct mathematical knowledge actively. Their pedagogical expertise makes this text a masterpiece resource for precalculus education.


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Calculus
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