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MATH-181 (Calculus I) Curriculum

Session 16 - Curve Sketching

Handout Worksheet
Fall Semester 2026
Session Objectives & Overview

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

Micro-Lecture

Engineering Context: Visualizing Performance

In this session, we investigate the mathematical principles of Curve Sketching 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 16 and overview of homework Knewton: The First Derivative Test Second Derivative Determines Concavity.