P. Prologue: Calculator Arithmetic

1. Functions

1.1 Functions given by formulas
1.2 Functions given by tables
1.3 Functions given by graphs
1.4 Functions given by words

2. Graphical and Tabular Analysis

2.1 Tables and trends
2.2 Graphs
2.3 Solving linear equations
2.4 Solving nonlinear equations
2.5 Optimization

3. Straight Lines and Linear Functions

3.1 The geometry of lines
3.2 Linear functions
3.3 Modeling data with linear functions
3.4 Linear regression
3.5 Systems of equations

4. Exponential Functions

4.1 Exponential growth and decay
4.2 Modeling exponential data
4.3 Modeling nearly exponential data
4.4 Logarithmic functions
4.5 Connecting exponential and linear data

5. A Survey of Other Common Functions

5.1 Power functions
5.2 Modeling data with power functions
5.3 Combining and decomposing functions
5.4 Quadratic functions and parabolas
5.5 Higher-degree polynomials and rational functions

6. Rates of Change

6.1 Velocity
6.2 Rates of change for other functions
6.3 Estimating rates of change
6.4 Equations of change: Linear and exponential functions
6.5 Equations of change: Graphical solutions

7. Mathematics of Population Ecology

7.1 Population dynamics: Exponential Growth
7.2 Population dynamics: Logistic Growth
7.3 Population structure: Survivorship curves