AP®MathsCollege BoardCalculus ABRevision NotesUnit 1: Limits & ContinuityUnit 1 OverviewUnit 1 Topics

Unit 1 Topics (College Board AP® Calculus AB): Revision Note

Roger B

Written by: Roger B

Reviewed by: Jamie Wood

Updated on

Unit 1 Topic list

  • The table below shows the topics from the Course and Exam Description document

  • You can find which study guide explains each topic

College Board Topic number

College Board Topic name

Relevant study guide

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)

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Author
Reviewer
Roger B

Author: Roger B

Expertise: Maths Content Creator

Roger's teaching experience stretches all the way back to 1992, and in that time he has taught students at all levels between Year 7 and university undergraduate. Having conducted and published postgraduate research into the mathematical theory behind quantum computing, he is more than confident in dealing with mathematics at any level the exam boards might throw at you.

Jamie Wood

Reviewer: Jamie Wood

Expertise: Maths Content Creator

Jamie graduated in 2014 from the University of Bristol with a degree in Electronic and Communications Engineering. He has worked as a teacher for 8 years, in secondary schools and in further education; teaching GCSE and A Level. He is passionate about helping students fulfil their potential through easy-to-use resources and high-quality questions and solutions.