Unit 12

Calculus Preview

Preview limits, continuity, the derivative as a rate of change, and the connection between precalculus and calculus.

Unit 12 · 6 pages

Lessons

Unit overview, essential questions, learning objectives, and vocabulary list for Unit 12 Introduction to Calculus.

Estimate limits from tables and graphs; understand one-sided limits and when limits do not exist.

Apply limit laws; evaluate limits by direct substitution, factoring, and rationalization.

Define continuity at a point and on an interval, classify types of discontinuities, and apply the Intermediate Value Theorem.

Define the derivative as a limit of the difference quotient; find derivatives and interpret as instantaneous rate of change.

Consolidate your understanding of limits, continuity, and derivatives as an introduction to calculus.