College Algebra Through Functions and Models

1. REVIEW OF ELEMENTARY CONCEPTS. Tables, Graphs and Equations. Solving A Proportional Equation. Case Study: Municipal Property Taxes. Solving Linear Equations. Case Study: Industrial Park and City Planning. Chapter Review. Chapter Test. 2. WORKING WITH LINEAR EQUATIONS. The Forms of a Linear Equation. Linear Equations and Graphs. Case Study: Biogas Mathematics. Formulating and Solving Linear Equations. Case Study: Break-Even Analysis at the Blackstone Grill. Inversion of a Linear Equation. Case Study: Airline Ticket Demand: A Market with Two Consumer Groups. Chapter Review. Chapter Test. 3. SYSTEMS OF LINEAR EQUATIONS. The Substitution Method for a Linear System. Systems of Linear Inequalities. Characteristics of a System of Linear Inequalities. Solving Systems of Linear Equations with More than Two Unknowns: The Elimination Method. Case Study: Appraising Real Estate. Chapter Review. Cumulative Test. 4. FUNCTIONS AND MODELS. Functions and Graphs. Functions and Equations. Notation for Functions. Composition and Inversion of Functions. Describing Functions of Several Variables. Linear Functions of Several Variables. Chapter Review. Chapter Test. 5. EXPONENTS AND LOGARITHMS. Exponential Notation and Calculations with Powers. Case Study: Nuclear Energy. Exponential Functions. Case Study: Declining Value of Computers. The Base 2 for Doubling Times and Half-Lives. Case Study: Nuclear Waste for Your Grandchildren. The Natural Base e for Continuous Compounding. Case Study: Electric Power Planning. The Logarithm Function. Chapter Review. Chapter Test. 6. EXPONENTIAL AND POWER EQUATIONS. Solving Exponential Equations. Case Study: Pharmacokinetics. Finding Exponential Relationships in Real Data. Variations on the Exponential Function. Case Study: Movie Studio Revenues (and Profits). The Power Function. Case Study: Comparing Models of Milk Storage. Case Study: Nuclear Waste. Case Study: Growth Rates and Social Change. Chapter Review. Cumulative Test for Chapters 4-6. 7. POLYNOMIAL EQUATIONS. Forms of the Quadratic Function. Forward Differences and the Quadratic Function. Solution of the Quadratic Equation. Case Study: Diamond Prices. Equations and Inequalities Related to the Quadratic Function. Higher Polynomial Equations. Chapter Review. Chapter Test. Appendix A: Complex Numbers. Appendix B: Polynomial Division.