# CONTENTS

**Preview of Modeling and Calculus**

What is mathematical modeling?

**1.1 Real Numbers and Functions**

**1.2 Data Fitting with Linear and Periodic Functions**

Fitting linear functions to data

Periodic and trigonometric functions

**1.3 Power Functions and Scaling Laws**

Power functions and their properties

Proportionality and geometric similarity

Exponential growth and exponential functions

Shifting, reflecting, and stretching

Adding, subtracting, multiplying and dividing

**1.6 Inverse Functions and Logarithms**

**1.7 Sequences and Difference Equations**

**2.1 Rates of Change and Tangent Lines**

Limits: A formal perspective (optional)

Sequential limits and continuity

Asymptotic behavior of difference equations

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