⚠️ DRAFT HANDOUT - NOT FINALIZED BY INSTRUCTOR - DO NOT PRINT YET
MATH-283 (Calculus III) Curriculum
Session 13 - Optimization with Constraints
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: Solving Design Problems
In this session, we investigate the mathematical principles of Optimization with Constraints 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 13 and overview of homework homework assignment: Critical Points and the Second Derivative Test for Functions of Several Variables
Maximization and Minimization Problems for Functions of Several Variables
Lagrange Multipliers.