2.1 A Preview of Calculus

OpenStax Calculus Volume 1 — Section 2.1

Learning Objectives

  • Describe the tangent problem and how it motivates derivatives

  • Describe the area problem and how it motivates integrals

  • Explain instantaneous velocity as a limit of average velocities

  • Recognize that limits unify both problems into a single framework

Key Concepts

To be filled during study.

Practice Problems

To be completed with textbook exercises.

Section Summary

To be written after completing the section.

Study Notes

Personal observations and connections to engineering work.