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 TEAM Practice Day 1

15.2 Practice Worksheet

Copy of Density and Mass

Student Presentation: Mass and Center of Mass (15.4)

15.4 Project Center of Mass

Student Presentation: Center of Mass (15.4)

Density & Mass with Double Integrals

Density & Mass Student Presentation (15.4)

Copy of Moments of Inertia

Student Presentation: Moments of Inertia (15.4)

15.4 Project Moments of Inertia

Student Presentation: Moments of Inertia (15.4)

Moments of Inertia

Student Presentation: Moments of Inertia (15.4)

15.4 Project Probability and Expected Value

Student Presentation: Probability and Expected Value (15.4)

Copy of Calc 3 Presentation

Student Presentation: Probability and Expected Value (15.4)

15.4-Probability and Expected Value

Student Presentation: Probability and Expected Value (15.4)