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MATH-182 (Calculus II) Curriculum

Session 22 - Representing Functions as Power Series

Handout Worksheet
Fall Semester 2026
Session Objectives & Overview

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

  • Analyzing the Convergence of Power Series
  • Constructing Taylor and Maclaurin Series from Functions
  • Using Polynomials to Approximate Non-Arithmetic Values

Micro-Lecture

Engineering Context: Engineering Calculus II Application

In this session, we investigate the mathematical principles of Representing Functions as Power Series 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 22 and overview of homework homework assignment.