7-1 Direct Proportion Property of Exponential Functions

**Objective:**Discover, on your own or with your study group, a property of exponential functions by working a real-world problem.**Homework:**Problems 1-6 all7-2 Exponential Growth and Decay

**Objective:**Given a real-world situation in which the rate of change of*y*with respect to x is directly proportional to*y*, right and solve a differential equation and use the resulting solution as a mathematical model to make predictions and interpretations of that real-world situation.**Homework - Day 1:**Q Problems 1-10, Problems 1-4 all**Homework - Day 2:**Problems 5-9 all7-3 Other Differential Equations for Real-World Applications

**Objective:**Given the relationship between a function and its rate of change, write a differential equation, solve it to find an equation for the function, and use the function as a mathematical model.**Homework - Day 1:**Q Problems 1-10, Problems 1 and 4**Homework - Day 2:**Problems 5 and 77-4 Graphical Solution of Differential Equations by Using Slope Fields

**Objective:**Given a slope field for a differential equation, graph an approximate particular solution by hand and, if possible, confirm the solution algebraically.**Homework - Day****1:**Q Problems 1-10, 1-11 odd**Homework - Day 2:**Problems 2-12 even