Mathematics: Exponential Growth and Decay Concepts

These flashcards cover key vocabulary and concepts related to exponential growth and decay, as well as population dynamics, necessary for understanding the mathematical models discussed in the lecture.

Exponential Decay

A process where a quantity decreases at a rate proportional to its current value.

Carrying Capacity

The maximum population size that an environment can sustain.

Doubling Time

The period of time required for a quantity to double in size or value.

Logistic Growth Model

A model that describes population growth that levels off as it approaches the carrying capacity.

Population Growth Rate

The difference between the birth rate and the death rate in a population.

Half-Life

The time required for a quantity to reduce to half its initial value.

Exponential Growth

A process where a quantity increases at a rate proportional to its current value.

Decay Rate

The rate at which a quantity decreases over time.

Linear Growth

A process where a quantity increases or decreases by a constant amount over time.

Growth Rate Formula

A mathematical equation used to calculate the growth rate of a population or quantity over time.