This course on AP Calculus AB and BC Unit 1 Review focuses on the topics of Limits and Continuity. The learning outcomes include understanding and defining limits, estimating limit values, determining limits using algebraic properties and manipulation, exploring discontinuities, defining continuity at a point, and working with the Intermediate Value Theorem. The course teaches students the necessary skills to analyze functions and their behavior near specific points. The teaching method involves video lectures, study guides, and practice questions. This course is intended for students preparing for the AP Calculus AB and BC exams or anyone interested in deepening their understanding of calculus concepts related to limits and continuity.
Overview
Syllabus
- 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.
Taught by
Krista King
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