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MATH-283 (Calculus III) Curriculum

Session 18 - Applications of Multiple Integrals

Handout Worksheet
Fall Semester 2026
Session Objectives & Overview

By the end of this session, you will be able to:

  • Review core multivariable mathematical concepts and engineering calculus prerequisites.

Micro-Lecture

Engineering Context: Balancing Structures

In this session, we investigate the mathematical principles of Applications of Multiple Integrals and explore how engineers apply these concepts to analyze real-world physical and structural systems.

Skill Block 1

Regroup 1

  • Review common misconceptions and clarify key notations.

Skill Block 2

Regroup 2

  • Reflect on the physical modeling applications and mathematical setups.

Skill Block 3

Regroup 3

  • Verify calculations and mathematical reasoning.

Synthesis Wrap-up

  • Core takeaways from Session 18 and overview of homework homework assignment: Calculating Centers of Mass and Moments of Inertia.