Chapter 15: Multiple Integrals

Double Integral Demo

Approximating Double Integrals with Riemann Sums (15.1)

Using Midpoint Rule for Double Integrals (15.1)

Double Integrals Over Regions (15.2)

Iterated Double Integrals (15.2)

Double Integrals Over Regions (15.2)

Volume of Solids Using Double Integrals over Regions (15.2)

Double Integrals over Regions (15.2)

Double Integrals over Regions (15.2)

Double Integrals over Regions (15.2)

Changing the Order of Integration of a Double Integral (15.2)

Changing the Order of Integration of a Double Integral (15.2)

Intro to Double Integrals in Polar Coordinates (15.3)

Examples of using Double Integrals in Polar Coords. (15.3)

Volume of Solid using Double Integrals in Polar Coords. (15.3)

Finding Surface Areas using Double Integrals (15.5)

Example of Calculating a Triple Integral (15.6)

Intro to Cylindrical Coordinates (15.7)

Triple Integrals in Cylindrical Coordinates (15.7)

Intro to Spherical Coordinates (15.8)

Triple Integrals using Spherical Coordinates (15.8)

Double Integral: Changing Variables with Jacobian (15.9)

Triple Integral: Changing Variables with Jacobian (15.9)

Example: Change of Variables Part 1 (15.9)

Example: Change of Variables Part 2 (15.9)

Spherical Coordinate Plotter (15.8)

Spherical Surface Plotter (15.8)

15.2 Practice Worksheet

Student Presentation: Mass and Center of Mass (15.4)

Student Presentation: Center of Mass (15.4)

Density & Mass Student Presentation (15.4)

Student Presentation: Moments of Inertia (15.4)

Student Presentation: Moments of Inertia (15.4)

Student Presentation: Moments of Inertia (15.4)

Student Presentation: Probability and Expected Value (15.4)

Student Presentation: Probability and Expected Value (15.4)

Student Presentation: Probability and Expected Value (15.4)