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 all
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 all
7-2 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 all
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 all
7-3 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 7
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 7
7-4 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
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