Why It Matters
Use the concept of the total area under a graph to calculate totals from rates of change
Introduction
You are financial advisor and have a client who wants to spend everything he earns. He is just starting out his career. It is your job to convince him to invest 10% of his starting salary with your firm. He makes $100,000 a year to start out with. He is a skeptic and wants you to prove to him (i.e. paper and pencil) that it would be a smart idea to that for the next 30 years. How would you do it?Learning Outcomes
- Reading: The Definite Integral
- Video: Area under the Curve Using Geometric Shapes
- Video: Area under the Curve Using Rectangles
- Video: Definition of the Definite Integral
- Video: Interpret the Meaning of Area under the Curve
- Reading: Antiderivative Formulas
- Video: The Antiderivative
- Reading: Application of the Definite Integral
- Area between Curves
- Reading: The Definite Integral Applied to Area
- Video: Area between Two Curves
- Reading: Accumulation in Real Life
- Reading: Average Value
- Video: Average Value
- Video: Equilibrium Point
- Reading: Basics of Exponential Models
- Reading: Continuous Income Stream
- Video: Present and Future Values
- Reading: Consumer and Producer Surplus
- Video: Consumer and Producer Surplus
- Interactive: Consumer Surplus
