Math

Exponential Functions

Understand growth and decay through exponential and logarithmic functions. From compound interest to population modeling, see exponentials everywhere.

1

Exponential Growth

Rapid increase and doubling time

Lesson 1: What is Exponential Growth? Coming Soon
Lesson 2: Growth Rate & Factor Coming Soon
Lesson 3: Doubling Time Coming Soon
2

Exponential Decay

Half-life and decreasing functions

Lesson 4: What is Exponential Decay? Coming Soon
Lesson 5: Decay Rate & Factor Coming Soon
Lesson 6: Half-Life Coming Soon
3

Compound Interest

Financial applications of exponentials

Lesson 7: Simple vs Compound Interest Coming Soon
Lesson 8: Compound Interest Formula Coming Soon
Lesson 9: Continuous Compounding Coming Soon
4

The Number e

Euler's number and natural exponentials

Lesson 10: Discovering e Coming Soon
Lesson 11: The Natural Exponential Function Coming Soon
Lesson 12: Applications of e Coming Soon
5

Logarithms

The inverse of exponential functions

Lesson 13: What is a Logarithm? Coming Soon
Lesson 14: Common & Natural Logs Coming Soon
Lesson 15: Evaluating Logarithms Coming Soon
6

Log Properties

Rules for simplifying logarithms

Lesson 16: Product Rule Coming Soon
Lesson 17: Quotient Rule Coming Soon
Lesson 18: Power Rule Coming Soon
7

Solving Exponential Equations

Using logs to solve equations

Lesson 19: Solving with Common Bases Coming Soon
Lesson 20: Solving with Logarithms Coming Soon
Lesson 21: Applications & Word Problems Coming Soon
8

Modeling with Exponentials

Real-world exponential models

Lesson 22: Population Growth Models Coming Soon
Lesson 23: Radioactive Decay Coming Soon
Lesson 24: Newton's Law of Cooling Coming Soon
9

Logistic Growth

Bounded growth models

Lesson 25: What is Logistic Growth? Coming Soon
Lesson 26: The Logistic Equation Coming Soon
Lesson 27: Carrying Capacity & Applications Coming Soon