Exponential Growth and Decay - Mathematics Lecture and Problem Set

Overview

Learn about exponential growth and decay in this comprehensive mathematics lecture and problem-solving session. Master the fundamental equations for calculating growth (y = a(1 + r)^t) and decay (y = a(1 - r)^t), understanding how to apply these formulas to real-world scenarios involving population changes and financial calculations. Explore compound interest calculations with various compounding frequencies (annual, semiannual, quarterly, monthly, weekly, and daily) using the formula y = P(1 + r/n)^(nt). Work through 58 detailed practice problems covering population growth, financial scenarios, and interest calculations, with step-by-step solutions and explanations. Gain practical experience in determining when to round answers appropriately - to the nearest integer for population problems and to two decimal places for monetary calculations. Access downloadable textbook materials and navigate easily through different sections using provided timestamps for targeted learning.

Syllabus

Introduction
Lecture overview
Problem #1-4
Problem #5-12
Problem #13-16
Problem #17-18
Problem #19-26
Problem #27-29
Problem #30
Problem #31-36
Problem #37-38
Problem #39-46
Problem #47-50
Problem #51
Problem #52
Problem #53
Problem #54
Problem #55
Problem #56
Problem #57
Problem #58