Calculus BC - Unit One
Many calculus concepts are developed by first considering a discrete model and then the consequences of a limiting case. Therefore, the idea of limits is essential for discovering and developing important ideas, definitions, formulas, and theorems in calculus. Students must have a solid, intuitive understanding of limits and be able to compute various limits, including one-sided limits, limits at infinity, the limit of a sequence, and infinite limits. They should be able to work with tables and graphs in order to estimate the limit of a function at a point. Students should know the algebraic properties of limits and techniques for finding limits of indeterminate forms, and they should be able to apply limits to understand the behavior of a function near a point. Students must also understand how limits are used to determine continuity, a fundamental property of functions.
Click on a link to jump ahead to the following sections:
- Lesson 1: Rates of Change and Tangent Lines
- Lesson 2: Introduction to Limits
- Lesson 3: Calculating Limits
- Lesson 4: Limits Involving Infinity
- Lesson 5: Continuity
- Lesson 6: Assessment
- AP Practice - Multiple Choice problems from previous AP exams
- Supplemental Tasks:
Resources - Limits
The following are links to resources for Limits:
The following are other free resources:
- GeoGebra - Free online math tools
- Desmos - Free online graphing calculator
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