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Dynamic College Algebra : Chapter 6 : Exponential and Logarithmic Functions (Student/Teacher)

Marsha Davis, Gary Froelich and Gary Simundza

 Mathematics Topic:Algebra Application Areas:College Algebra Prerequisites:Adobe Acrobat Adobe AIR Software Audio Meter Excel

| ©2014 by COMAP, Inc. | DynaMAP | 116 pages |

Dynamic College Algebra

Dynamic College Algebra uses a modeling approach built around applications from technical fields such as semiconductor manufacturing and biotechnology. Each chapter begins with an engaging contextual problem that students explore in class or on their own via an Adobe Air simulation. Reflecting the realities of modern technical careers, Dynamic College Algebra integrates data analysis and spreadsheet technology throughout.

Chapter 1: Measurement/Data Analysis
Chapter 2: Variation
Chapter 3: Introduction to Functions
Chapter 4: Linear Relationships
Chapter 5: Systems of Equations
Chapter 6: Exponential and Logarithmic Functions
Chapter 7: Polynomial Functions
Chapter 8: Trigonometric Functions

CHAPTER 6: Exponential and Logarithmic Functions

This chapter introduces exponential and logarithmic functions. The exponential function is examined first as a function for which ratios of successive values of the function are constant, in contrast with linear functions for which amounts of change (first differences) are constant. By the end of this chapter, students should recognize exponential behavior and be able to model relationships with exponential and logarithmic functions. The Introductory Activity allows students to discover essential characteristics of both exponential and logarithmic behavior, which are then explained in the chapter.

Career Feature: Acoustic Consultants
Introductory Activity: Sound Measurement
Section 6.1: Exponential and Logarithmic Functions
Section 6.2: The Number e and the Natural Exponential Function
Section 6.3: Transformations of Exponential Functions
Section 6.4: The Inverse of an Exponential Function: Logarithms
Section 6.5: Logarithmic Models
Chapter 6: Review
Chapter 6: Instructorâ€™s Notes