Linearization

🔖 Topics

• Linearization of polynomials
• Linearization of exponentials
• Linearization of logarithms

🎯 Objectives

• Describe some of the types of mathematical models
• Discuss why linearization is useful, even when we are able to get equations of best fit that are non-linear
• Transform polynomial datasets so that they are linearized
• Transform exponential datasets so that they are linearized
• Transform logarithmic datasets so that they are linearized

📋 Sequence

• Background on linearization
  • Easier analysis
  • More rigorous interpretation
• How do we do it?
  • There are lots of different techniques that we use
  • Logarithmic transformations
  • Power transformations
  • Polynomial regressions
  • Box-Cox transformations
  • Exponential transformations
• Example of polynomial data set (quadratic)
• Example of exponential data set
• Example of logarithmic data set

🖥️ Animations, Simulations, Activities

• Linearization of the Position Graph of an Accelerating Car
• Examples of Linearization

📝 Practice Problems

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✅ Partial Solutions

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📘 Connected Resources

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