⚠️ DRAFT HANDOUT - NOT FINALIZED BY INSTRUCTOR - DO NOT PRINT YET

MATH-181 (Calculus I) Curriculum

Session 23 - Definite Integrals and the Fundamental Theorem of Calculus

Handout Worksheet
Fall Semester 2026
Session Objectives & Overview

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

Micro-Lecture

Engineering Context: Accumulated Effects in Engineering Systems

In this session, we investigate the mathematical principles of Definite Integrals and the Fundamental Theorem of Calculus 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 23 and overview of homework Knewton: The Definite Integral The Evaluation Theorem.