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Precalculus: Relations and Functions
  • Level Foundation
  • Duration 12 hours
  • Course by Johns Hopkins University
  • Offered by

About

This course helps to build the foundational material to use mathematics as a tool to model, understand, and interpret the world around us. This is done through studying functions, their properties, and applications to data analysis. Concepts of precalculus provide the set of tools for the beginning student to begin their scientific career, preparing them for future science and calculus courses. This course is designed for all students, not just those interested in further mathematics courses. Students interested in the natural sciences, computer sciences, psychology, sociology, or similar will genuinely benefit from this introductory course, applying the skills learned to their discipline to analyze and interpret their subject material. Students will be presented with not only new ideas, but also new applications of an old subject. Real-life data, exercise sets, and regular assessments help to motivate and reinforce the content in this course, leading to learning and mastery.

Modules

1.1 Function Basics

    • 2 Videos
    • 1 Readings
    • 1 Assignment
Show info about module content

1 Assignment

  • Function Basics

2 Videos

  • Function Basics
  • Graphing Websites

1 Readings

  • Sample Problems: Function Basics

1.2 Common Functions

    • 1 Videos
    • 2 Readings
    • 1 Assignment
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1 Assignment

  • Common Functions

1 Videos

  • Common Functions

2 Readings

  • Common Functions List
  • Sample Problems: Common Functions

2.1 Equations of Lines and Quadratics

    • 2 Videos
    • 1 Readings
    • 1 Assignment
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1 Assignment

  • Linear and Quadratic Equations

2 Videos

  • Equations of Lines
  • Quadratic Functions

1 Readings

  • Sample Problems: Equations of Lines and Quadratics

2.2 More Functions

    • 3 Videos
    • 1 Readings
    • 1 Assignment
Show info about module content

1 Assignment

  • Function Composition and Inverses

3 Videos

  • Function Composition
  • Inverse Functions
  • Graphs of Inverse Functions

1 Readings

  • Sample Problems: More Functions

Modules 1 and 2 Test

    • 1 Assignment
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1 Assignment

  • Modules 1 and 2 Test - Functions

3.1 Exponential Functions

    • 1 Videos
    • 1 Readings
    • 1 Assignment
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1 Assignment

  • Exponential Functions

1 Videos

  • Exponential Functions

1 Readings

  • Sample Problems: Exponential Functions

3.2 Logarithmic Functions

    • 2 Videos
    • 1 Readings
    • 1 Assignment
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1 Assignment

  • Logarithmic Functions

2 Videos

  • Logarithmic Functions
  • The Natural Logarithm

1 Readings

  • Sample Problems: Logarithmic Functions

4.1 Properties of Logarithms

    • 1 Videos
    • 1 Readings
    • 1 Assignment
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1 Assignment

  • Properties of Logarithmic Functions

1 Videos

  • Properties of Logarithms

1 Readings

  • Sample Problems: Properties of Logarithmic Functions

Module 3 and 4 Test

    • 1 Assignment
Show info about module content

1 Assignment

  • Module 3 and 4 Test - Exponential and Logarithmic Functions
Joseph W. Cutrone, PhD
Instructor

Joseph W. Cutrone, PhD