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

MATH-182 (Calculus II) Curriculum

Session 19 - Sequences and Infinite Series

Handout Worksheet
Fall Semester 2026
Session Objectives & Overview

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

  • Analyzing the Long-Term Behavior of Sequences (Limits & Convergence)
  • Evaluating Infinite Series via Partial Sums and Special Series Tests
  • Generating Sequences (Implicit vs. Explicit Modeling)

Micro-Lecture

Engineering Context: Engineering Calculus II Application

In this session, we investigate the mathematical principles of Sequences and Infinite 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 19 and overview of homework homework assignment.