CONTACT MR. ALDERMAN
Mr. Alderman's Classes
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  • AP Calculus AB
    • Unit 1 >
      • 0 - Pre-Calc Review
      • 1 - Limits, Derivatives, and Integrals
      • 2 - Properties of Limits
    • Unit 2 >
      • 3 - Derivatives, Antiderivatives, and Indefinite Integrals
      • 4 - Products, Quotients, and Parametric Functions
    • Unit 3 >
      • 5 - Definite and Indefinite Integrals
      • 6 - Exponential and Logarithmic Functions
  • Honors Physics
    • Unit 1 - Motion of Objects
    • Unit 2 - Forces and Motion
    • Unit 3 - Energy
    • Unit 4 - Waves
    • Unit 5 - Electromagnetism
    • Unit 6 - Modern Physics
    • Unit 7 - Astrophysics
  • Personal Finance
    • Unit 1 - Saving and Budgeting >
      • 1 - Introduction to Personal Finance
      • 2 - Saving
      • 3 - Budgeting
    • Unit 2 - Credit and Debt >
      • 4 - Debt
      • 5 - Life After High School
      • 6 - Consumer Awareness
    • Unit 3 - Financial Planning and Insurance >
      • 7 - Bargain Shopping
      • 8 - Investing and Retirement
      • 9 - Insurance
    • Unit 4 - Income, Taxes and Giving >
      • 10 - Money and Relationships
      • 11 - Careers and Taxes
      • 12 - Giving
  • Contact

The Calculus of Motion -

Calculus Concepts and Applications - Chapter 10

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

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 

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

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

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