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*Section 1.5 in Stewart's Calculus.*

**Preclass Learning Objectives:**

- The limit at an x-value describes the y-value the function “approaches” at that x-value.

- Graphical intuition for limits.

- Two-sided limits depend on both one-sided limits.

*Section 1.4/2.1 in Stewart's Calculus.*

**Preclass Learning Objectives:**

- A rate of change describes how one quantity changes in relation to another quantity.

- Rate of change can result from averaging over an interval or finding a limit of averages approaching a single point.

- Tangent lines result from the limit of secant lines.

- A derivative is an instantaneous rate of change.

*Section 1.6 in Stewart's Calculus.*

**Preclass Learning Objectives:**

- Algebraic limit laws.

- When direct substitution isn't allowable in calculating a limit try simplification, conjugation, or squeezing the function.

*Section 1.8 in Stewart's Calculus.*

**Preclass Learning Objectives:**

- Graphical intuition of continuity.

- Where limits align with actual values, a function is continuous.

- Types of discontinuities.

- Algebraic limit laws.

- Continuous functions cannot jump (Intermediate Value Theorem).

calculus/resources/calculus_videos/chapter1.txt · Last modified: 2015/09/11 19:56 by kaz

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