Advanced Exponential and Logarithmic Models

Site: Young Education
Cours: Exponential and Logarithmic Functions
Livre: Advanced Exponential and Logarithmic Models
Imprimé par: Гість-користувач
Date: vendredi 25 septembre 2026, 02:38

1. Natural Exponential Functions

Learning outcomes
  • I can explain the significance of the number .
  • I can evaluate functions involving .
  • I can compare natural exponential and other exponential functions.
  • I can interpret natural growth models.
  • I can apply natural exponential functions to practical situations.

2. Natural Logarithms

Learning outcomes
  • I can evaluate natural logarithms.
  • I can solve equations involving natural logarithms.
  • I can apply the properties of natural logarithms.
  • I can interpret natural logarithmic functions.
  • I can connect natural logarithms to exponential growth.

3. Continuous Growth and Decay

Learning outcomes
  • I can model continuously compounded growth.
  • I can model continuous decay.
  • I can compare discrete and continuous models.
  • I can interpret continuous growth models.
  • I can solve authentic applications.

4. Logistic Growth Models

Learning outcomes
  • I can explain logistic growth.
  • I can distinguish logistic and exponential growth.
  • I can interpret carrying capacity.
  • I can analyse logistic graphs.
  • I can model real-world population growth.

5. Comparing Mathematical Models

Learning outcomes
  • I can compare linear, quadratic, exponential, logarithmic, and logistic models.
  • I can identify the most appropriate model for a situation.
  • I can justify model selection.
  • I can interpret mathematical models critically.
  • I can evaluate model limitations.