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Unit 1 of 10

Limits and Continuity

This unit introduces limits as the foundation for understanding change, continuity, and the behavior of functions near specific input values. Students learn to evaluate limits using graphs, tables, algebraic methods, and theorems while connecting these ideas to discontinuities and asymptotes.

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UnitsLessons
  1. 01Limits and Continuity16
  2. 02Differentiation: Definition and Basic Derivative Rules10
  3. 03Differentiation: Composite, Implicit, and Inverse Functions6
  4. 04Contextual Applications of Differentiation7
  5. 05Analytical Applications of Differentiation12
  6. 06Integration and Accumulation of Change14
  7. 07Differential Equations9
3 more units in the course outline
Units of AP® Calculus BC

Lessons

16 lessons in this unit

  1. 1.1Introducing Calculus: Can Change Occur at an Instant?Preview lesson
  2. 1.2Defining Limits and Using Limit NotationPreview lesson
  3. 1.3Estimating Limit Values from GraphsPreview lesson
  4. 1.4Estimating Limit Values from TablesPreview lesson
  5. 1.5Determining Limits Using Algebraic Properties of LimitsPreview lesson
  6. 1.6Determining Limits Using Algebraic ManipulationPreview lesson
  7. 1.7Selecting Procedures for Determining LimitsPreview lesson
  8. 1.8Determining Limits Using the Squeeze TheoremPreview lesson
  9. 1.9Connecting Multiple Representations of LimitsPreview lesson
  10. 1.10Exploring Types of DiscontinuitiesPreview lesson
  11. 1.11Defining Continuity at a PointPreview lesson
  12. 1.12Confirming Continuity over an IntervalPreview lesson
  13. 1.13Removing DiscontinuitiesPreview lesson
  14. 1.14Connecting Infinite Limits and Vertical AsymptotesPreview lesson
  15. 1.15Connecting Limits at Infinity and Horizontal AsymptotesPreview lesson
  16. 1.16Working with the Intermediate Value Theorem (IVT)Preview lesson

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