AP Calculus AB, American: syllabus
The lessons in book order, one card per unit. Open any lesson that has an episode if you have access; locked lessons are greyed out.
0 of 81 lessons have an episode
No episodes for this subject yetUnit 1: Limits and Continuity
16 lessonsno episodes yetIntroducing Calculus: Can Change Occur at an Instant?
No episode for this lesson yet.Try it in the labDefining Limits and Using Limit Notation
No episode for this lesson yet.Try it in the labEstimating Limit Values from Graphs
No episode for this lesson yet.Try it in the labEstimating Limit Values from Tables
No episode for this lesson yet.Try it in the labDetermining Limits Using Algebraic Properties of Limits
No episode for this lesson yet.Determining Limits Using Algebraic Manipulation
No episode for this lesson yet.Try it in the labSelecting Procedures for Determining Limits
No episode for this lesson yet.Determining Limits Using the Squeeze Theorem
No episode for this lesson yet.Connecting Multiple Representations of Limits
No episode for this lesson yet.Try it in the labExploring Types of Discontinuities
No episode for this lesson yet.Try it in the labDefining Continuity at a Point
No episode for this lesson yet.Try it in the labConfirming Continuity over an Interval
No episode for this lesson yet.Removing Discontinuities
No episode for this lesson yet.Try it in the labConnecting Infinite Limits and Vertical Asymptotes
No episode for this lesson yet.Try it in the labConnecting Limits at Infinity and Horizontal Asymptotes
No episode for this lesson yet.Try it in the labWorking with the Intermediate Value Theorem (IVT)
No episode for this lesson yet.Try it in the lab
Unit 2: Differentiation: Definition and Fundamental Properties
10 lessonsno episodes yetDefining Average and Instantaneous Rates of Change at a Point
No episode for this lesson yet.Try it in the labDefining the Derivative of a Function and Using Derivative Notation
No episode for this lesson yet.Try it in the labEstimating Derivatives of a Function at a Point
No episode for this lesson yet.Try it in the labConnecting Differentiability and Continuity
No episode for this lesson yet.Applying the Power Rule
No episode for this lesson yet.Derivative Rules: Constant, Sum, Difference, and Constant Multiple
No episode for this lesson yet.Derivatives of cos x, sin x, e^x, and ln x
No episode for this lesson yet.The Product Rule
No episode for this lesson yet.The Quotient Rule
No episode for this lesson yet.Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions
No episode for this lesson yet.
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
6 lessonsno episodes yetThe Chain Rule
No episode for this lesson yet.Implicit Differentiation
No episode for this lesson yet.Try it in the labDifferentiating Inverse Functions
No episode for this lesson yet.Differentiating Inverse Trigonometric Functions
No episode for this lesson yet.Selecting Procedures for Calculating Derivatives
No episode for this lesson yet.Calculating Higher-Order Derivatives
No episode for this lesson yet.
Unit 4: Contextual Applications of Differentiation
7 lessonsno episodes yetInterpreting the Meaning of the Derivative in Context
No episode for this lesson yet.Straight-Line Motion: Connecting Position, Velocity, and Acceleration
No episode for this lesson yet.Try it in the labRates of Change in Applied Contexts Other Than Motion
No episode for this lesson yet.Introduction to Related Rates
No episode for this lesson yet.Try it in the labSolving Related Rates Problems
No episode for this lesson yet.Try it in the labApproximating Values of a Function Using Local Linearity and Linearization
No episode for this lesson yet.Using L'Hospital's Rule for Determining Limits of Indeterminate Forms
No episode for this lesson yet.
Unit 5: Analytical Applications of Differentiation
12 lessonsno episodes yetUsing the Mean Value Theorem
No episode for this lesson yet.Extreme Value Theorem, Global Versus Local Extrema, and Critical Points
No episode for this lesson yet.Determining Intervals on Which a Function Is Increasing or Decreasing
No episode for this lesson yet.Using the First Derivative Test to Determine Relative (Local) Extrema
No episode for this lesson yet.Using the Candidates Test to Determine Absolute (Global) Extrema
No episode for this lesson yet.Determining Concavity of Functions over Their Domains
No episode for this lesson yet.Using the Second Derivative Test to Determine Extrema
No episode for this lesson yet.Sketching Graphs of Functions and Their Derivatives
No episode for this lesson yet.Connecting a Function, Its First Derivative, and Its Second Derivative
No episode for this lesson yet.Introduction to Optimization Problems
No episode for this lesson yet.Try it in the labSolving Optimization Problems
No episode for this lesson yet.Try it in the labExploring Behaviors of Implicit Relations
No episode for this lesson yet.Try it in the lab
Unit 6: Integration and Accumulation of Change
11 lessonsno episodes yetExploring Accumulations of Change
No episode for this lesson yet.Try it in the labApproximating Areas with Riemann Sums
No episode for this lesson yet.Try it in the labRiemann Sums, Summation Notation, and Definite Integral Notation
No episode for this lesson yet.Try it in the labThe Fundamental Theorem of Calculus and Accumulation Functions
No episode for this lesson yet.Try it in the labInterpreting the Behavior of Accumulation Functions Involving Area
No episode for this lesson yet.Try it in the labApplying Properties of Definite Integrals
No episode for this lesson yet.Try it in the labThe Fundamental Theorem of Calculus and Definite Integrals
No episode for this lesson yet.Try it in the labFinding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
No episode for this lesson yet.Integrating Using Substitution
No episode for this lesson yet.Try it in the labIntegrating Functions Using Long Division and Completing the Square
No episode for this lesson yet.Selecting Techniques for Antidifferentiation
No episode for this lesson yet.Try it in the lab
Unit 7: Differential Equations
7 lessonsno episodes yetModeling Situations with Differential Equations
No episode for this lesson yet.Verifying Solutions for Differential Equations
No episode for this lesson yet.Sketching Slope Fields
No episode for this lesson yet.Try it in the labReasoning Using Slope Fields
No episode for this lesson yet.Try it in the labFinding General Solutions Using Separation of Variables
No episode for this lesson yet.Finding Particular Solutions Using Initial Conditions and Separation of Variables
No episode for this lesson yet.Exponential Models with Differential Equations
No episode for this lesson yet.Try it in the lab
Unit 8: Applications of Integration
12 lessonsno episodes yetFinding the Average Value of a Function on an Interval
No episode for this lesson yet.Connecting Position, Velocity, and Acceleration of Functions Using Integrals
No episode for this lesson yet.Try it in the labUsing Accumulation Functions and Definite Integrals in Applied Contexts
No episode for this lesson yet.Finding the Area Between Curves Expressed as Functions of x
No episode for this lesson yet.Finding the Area Between Curves Expressed as Functions of y
No episode for this lesson yet.Finding the Area Between Curves That Intersect at More Than Two Points
No episode for this lesson yet.Volumes with Cross Sections: Squares and Rectangles
No episode for this lesson yet.Volumes with Cross Sections: Triangles and Semicircles
No episode for this lesson yet.Volume with Disc Method: Revolving Around the x- or y-Axis
No episode for this lesson yet.Try it in the labVolume with Disc Method: Revolving Around Other Axes
No episode for this lesson yet.Volume with Washer Method: Revolving Around the x- or y-Axis
No episode for this lesson yet.Volume with Washer Method: Revolving Around Other Axes
No episode for this lesson yet.