1.1 Approximating Areas
LEARNING OBJECTIVES 1.1 Approximating Areas
1.1.1 Use sigma (summation) notation to calculate sums and powers of integers.
1.1.2 Use the sum of rectangular areas to approximate the area under a curve.
1.1.3 Use Riemann sums to approximate area.
VIEW 1.1 Approximating Areas
- Introduction to Sigma Notation
- Determining Area Under Graphs Using Geometric Formulas
- Approximating Area Under a Graph Using Rectangles
- Ex 1: Reimann Sum Using a Quadratic Function (Right Endpoints and Above x-axis)
- Ex 2: Reimann Sum Using an Exponential Function (Left Endpoints and Above x-axis)
- Ex 3: Reimann Sum Using a Quadratic Function (Right Endpoints and Above/Below x-axis)
- Ex: Approximate the Area Under a Curve Using Rectangles (Left Using Graph)
- Ex: Approximate the Area Under a Curve Using Rectangles (Right Using Graph)
- Ex: Approximate the Area Under a Curve Using Rectangles (Midpoint Using Graph)
- Ex 1: Approximate the Area Under a Curve with 4 Left Sided Rectangles
- Ex 2: Approximate the Area Under a Curve with 4 Right Sided Rectangles
- Ex 3: Approximate the Area Under a Curve with 8 Left Sided Rectangles
- Ex 4: Approximate the Area Under a Curve with 8 Right Sided Rectangles
Riemann Sum demonstration
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