1 
Ingredients of Change: Functions and Linear Models 
1.1 
Fundamentals of Modeling 
1.2 
Functions and Graphs 
1.3 
Constructed Functions 
1.4 
Linear Functions and Models 

Chapter 1 Summary 

Chapter 1 Review Test 

Chapter 1 Projects: Tuition Fees, Finding Data 


2 
Ingredients of Change: NonLinear Models 
2.1 
Exponential Functions and Models 
2.2 
Exponential Models in Finance 
2.3 
Polynomial Functions and Models 
2.4 
Choosing a Model 

Chapter 2 Summary 

Chapter 2 Review Test 

Chapter 2 Projects: Compulsory School Laws, FundRaising Campaign 


3 
Describing Change: Rates 
3.1 
Average Rates of Change 
3.2 
Instantaneous Rates of Change 
3.3 
Tangent Lines 
3.4 
Derivatives 
3.5 
Percentage Change and Percentage Rates of Change 

Chapter 3 Summary 

Chapter 3 Review Test 

Chapter 3 Projects: Fee Refund Schedules, Doubling Time 


4 
Determining Change: Derivatives 
4.1 
Numerically Finding Slopes 
4.2 
Drawing Slope Graphs 
4.3 
Slope Formulas 
4.4 
The Sum Rule 
4.5 
The Chain Rule 
4.6 
The Product Rule 

Chapter 4 Summary 

Chapter 4 Review Test 

Chapter 4 Projects: Fertility Rates, Superhighway 


5 
Analyzing Change: Extrema and Points of Inflection 
5.1 
Optimization 
5.2 
Inflection Points 
5.3 
Approximating Change 

Chapter 5 Summary 

Chapter 5 Review Test 

Chapter 5 Projects: Hunting License Fees, Fundraising Campaign 


6 
Accumulating Change: Limits of Sums and the Definite Integral 
6.1 
Results of Change 
6.2 
Trapezoid and MidpointRectangle Approximations 
6.3 
The Definite Integral as a Limit of Sums 
6.4 
Accumulation Functions 
6.5 
The Fundamental Theorem 
6.6 
The Definite Integral 

Chapter 6 Summary 

Chapter 6 Review Test 

Chapter 6 Projects: Acceleration, Velocity, and Distance, Estimating Growth 


7 
Analyzing Accumulated Change: More Applications of Integrals 
7.1 
Differences of Accumulated Changes 
7.2 
Perpetual Accumulation 
7.3 
Streams in Business and Biology 
7.4 
Integrals in Economics 
7.5 
Average Values and Average Rates of Change 

Chapter 7 Summary 

Chapter 7 Review Test 

Chapter 7 Project: Arch Art 


Appendix: Right Triangle and Unit Circle Trigonometry 
Answer Key 
Index of Applications 
Subject Index 
Glossary 
Index 