Help Videos for MATH 1325 – Calculus for Business & Social Sciences

Lesson 11 Videos: Exponential Models

MATH 1325 was formerly named MATH 1314.

Introduction to exponential functions

Overview: Exponential functions as mathematical models

Example 1: Finding an exponential model using Geogebra and by hand

Uninhibited exponential growth

Overview of uninhibited exponential growth along with Example 2: Finding the growth rate of bacteria

Example 3: Exponential population growth — finding the model and the expected growth rate

Example 4: Exponential growth of the national debt — finding the model and predicting the debt at a given time

Example 5: Identifying exopnential functions as growth or decay functions

Limited Exponential Growth

Overview of Limited Exponential Growth involving Learning Curves along with Example 6: Assembly line problem

Logistic Functions

Overview: Logistic functions

Example 7: Logistic population model — Finding the initial amount, carrying capacity, rate of change, and optimum yield; predicting population values; solving for t using a given population

Example 8: Logistic model involving cable TV access — Predicting function values, finding the limiting value, and finding the rate of change at a given time

Example 9: Finding a logistic regression model given a table of values, and using that model to make predictions

Exponential Decay and Half-Life

Example 10: Finding an exponential decay model and using that model to make predictions

Example 11: Half-life problem — Finding an exponential decay model and using that model to make a prediction

Example 12: Half-life problem involving percentages — Finding an exponential decay model and using that model to make a prediction