AP Calculus AB and BC - Unit 1 Review - Limits and Continuity

Dive into a comprehensive video review of Unit 1: Limits and Continuity for AP Calculus AB and BC. Explore key concepts including introducing calculus, defining limits, estimating limit values from graphs and tables, determining limits using various methods, understanding discontinuities, defining continuity, connecting infinite limits to asymptotes, and applying the Intermediate Value Theorem. Access a free study guide and follow along with time-stamped sections for easy navigation through topics. Gain a solid foundation in calculus fundamentals to prepare for AP exams and future math courses.

- Introduction.
- 1.1 Introducing Calculus: Can Change Occur at an Instant?.
- 1.2 Defining Limits and Using Limit Notation.
- 1.3 Estimating Limit Values from Graphs.
- 1.4 Estimating Limit Values from Tables.
- 1.5 Determining Limits Using Algebraic Properties of Limits.
- 1.6 Determining Limits Using Algebraic Manipulation.
- 1.7 Selecting Procedures for Determining Limits.
- 1.8 Determining Limits Using the Squeeze Theorem.
- 1.9 Connecting Multiple Representations of Limits.
- 1.10 Exploring Types of Discontinuities.
- 1.11 Defining Continuity at a Point.
- 1.12 Confirming Continuity over an Interval.
- 1.13 Removing Discontinuities.
- 1.14 Connecting Infinite Limits and Vertical Asymptotes.
- 1.15 Connecting Limits at Infinity and Horizontal Asymptotes.
- 1.16 Working with the Intermediate Value Theorem (IVT).
- Summary.