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APEX PreCalculus

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Amy Givler Chapman, Virginia Military Institute

Meagan Herald, Virginia Military Institute

Jessica Libertini, Virginia Military Institute

Pub Date: 2017

Publisher: APEX Calculus

Language: English

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Attribution-NonCommercial
CC BY-NC

Table of Contents

1 Numbers and Functions

  • 1.1 Real Numbers
  • 1.2 Introduction to Functions
  • 1.3 Factoring and Expanding
  • 1.4 Radicals and Exponents
  • 1.5 Logarithms and Exponential Functions

2 Basic Skills for Calculus

  • 2.1 Linear Functions
  • 2.2 Solving Inequalities
  • 2.3 Function Domains
  • 2.4 Graphs and Graphing
  • 2.5 Completing the Square

3 Solving and Trigonometric Functions

  • 3.1 Solving for Variables
  • 3.2 Intersections
  • 3.3 Fractions and Partial Fractions Decomposition
  • 3.4 Introduction to Trigonometric Functions
  • 3.5 Trigonometric Functions and Triangles

About the Book

This text was written as a prequel to the APEXCalculus series, a three–volume series on Calculus. This text is not intended to fully prepare students with all of the mathematical knowledge they need to tackle Calculus, rather it is designed to review mathematical concepts that are often stumbling blocks in the Calculus sequence. It starts basic and builds to more complex topics. This text is written so that each section and topic largely stands on its own, making it a good resource for students in Calculus who are struggling with the supporting mathemathics found in Calculus courses. The topics were chosen based on experience; several instructors in the Applied Mathemathics Department at the Virginia Military Institute (VMI) compiled a list of topics that Calculus students commonly struggle with, giving the focus of this text. This allows for a more focused approach; at first glance one of the obvious differences from a standard Pre-Calculus text is its size.

About the Contributors

Authors

Amy Givler Chapman, Ph.D., Department of Applied Mathematics, Virginia Military Institute

Meagan Herald, Ph.D., Department of Applied Mathematics, Virginia Military Institute

Jessica Libertini, Ph.D., Department of Applied Mathematics, Virginia Military Institute