making it Fiveable...
1
Multiple-Choice Questions (MCQ)
2
Free Response Questions (FRQ)
1.0
Unit 1 Overview: Limits and Continuity
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 Calc)
2.0
Unit 2 Overview: Differentiation
2.1
Defining Average and Instantaneous Rates of Change at a Point
2.2
Defining the Derivative of a Function and Using Derivative Notation
2.3
Estimating Derivatives of a Function at a Point
2.4
Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist
2.5
Applying the Power Rule
2.6
Derivative Rules: Constant, Sum, Difference, and Constant Multiple
2.7
Derivatives of cos x, sinx, e^x, and ln x
2.8
The Product Rule
2.9
The Quotient Rule
2.10
Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions
3.0
Unit 3 Overview: Differentiation: Composite, Implicit, and Inverse Functions
3.1
The Chain Rule
3.2
Implicit Differentiation
3.3
Differentiating Inverse Functions
3.4
Differentiating Inverse Trigonometric Functions
3.5
Selecting Procedures for Calculating Derivatives
3.6
Calculating Higher-Order Derivatives
4.0
Unit 4 Overview: Contextual Applications of Differentiation
4.1
Interpreting the Meaning of the Derivative in Context
4.2
Straight-Line Motion: Connecting Position, Velocity, and Acceleration
4.3
Rates of Change in Applied Contexts other than Motion
4.4
Intro to Related Rates
4.5
Solving Related Rates Problems
4.6
Approximating Values of a Function Using Local Linearity and Linearization
4.7
Using L'Hopitals Rule for Determining Limits in Indeterminate Forms
5.0
Unit 5 Overview: Analytical Applications of Differentiation
5.1
Using the Mean Value Theorem
5.2
Extreme Value Theorem, Global vs Local Extrema, and Critical Points
5.3
Determining Intervals on Which a Function is Increasing or Decreasing
5.4
Using the First Derivative Test to Determine Relative (Local) Extrema
5.5
Using the Candidates Test to Determine Absolute (Global) Extrema
5.6
Determining Concavity
5.7
Using the Second Derivative Test to Determine Extrema
5.8
Sketching Graphs of Functions and Their Derivatives
5.9
Connecting a Function, Its First Derivative, and its Second Derivative
5.10
Introduction to Optimization Problems
5.11
Solving Optimization Problems
5.12
Exploring Behaviors of Implicit Relations
6.0
Unit 6 Overview: Integration and Accumulation of Change
6.1
Integration and Accumulation of Change
6.2
Approximating Areas with Riemann Sums
6.3
Riemann Sums, Summation Notation, and Definite Integral Notation
6.4
The Fundamental Theorem of Calculus and Accumulation Functions
6.5
Interpreting the Behavior of Accumulation Functions Involving Area
6.6
Applying Properties of Definite Integrals
6.7
The Fundamental Theorem of Calculus and Definite Integrals
6.8
Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
6.9
Integrating Using Substitution
6.10
Integrating Functions Using Long Division and Completing the Square
6.11
Integrating Using Integration by Parts
6.12
Integrating Using Linear Partial Fractions
6.13
Evaluating Improper Integrals
6.14
Selecting Techniques for Antidifferentiation (AB)
7.0
Unit 7 Overview: Differential Equations
7.1
Modeling Situations with Differential Equations
7.2
Verifying Solutions for Differential Equations
7.3
Sketching Slope Fields
7.4
Reasoning Using Slope Fields
7.5
Approximating Solutions Using Euler’s Method
7.6
Finding General Solutions Using Separation of Variables
7.7
Finding Particular Solutions Using Initial Conditions and Separation of Variables
7.8
Exponential Models with Differential Equations
7.9
Logistic Models with Differential Equations
8.0
Unit 8 Overview: Applications of Integration
8.1
Finding the Average Value of a Function on an Interval
8.2
Connecting Position, Velocity, and Acceleration of Functions Using Integrals
8.3
Using Accumulation Functions and Definite Integrals in Applied Contexts
8.4
Finding the Area Between Curves Expressed as Functions of x
8.5
Finding the Area Between Curves Expressed as Functions of y
8.6
Finding the Area Between Curves That Intersect at More Than Two Points
8.7
Volumes with Cross Sections: Squares and Rectangles
8.8
Volumes with Cross Sections: Triangles and Semicircles
8.9
Volume with Disc Method: Revolving Around the x- or y-Axis
8.10
Volume with Disc Method: Revolving Around Other Axes
8.11
Volume with Washer Method: Revolving Around the x- or y-Axis
8.12
Volume with Washer Method: Revolving Around Other Axes
8.13
The Arc Length of a Smooth, Planar Curve and Distance Traveled
9.0
Unit 9 Overview: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
9.1
Defining and Differentiating Parametric Equations
9.2
Second Derivatives of Parametric Equations
9.3
Finding Arc Lengths of Curves Given by Parametric Equations
9.4
Defining and Differentiating Vector-Valued Functions
9.5
Integrating Vector-Valued Functions
9.6
Solving Motion Problems Using Parametric and Vector-Valued Functions
9.7
Defining Polar Coordinates and Differentiating in Polar Form
9.8
Find the Area of a Polar Region or the Area Bounded by a Single Polar Curve
9.9
Finding the Area of the Region Bounded by Two Polar Curves
10.0
Unit 10 Overview: Infinite Series and Sequences
10.1
Defining Convergent and Divergent Infinite Series
10.2
Working with Geometric Series
10.3
The nth Term Test for Divergence
10.4
Integral Test for Convergence
10.5
Harmonic Series and p-Series
10.6
Comparison Tests for Convergence
10.7
Alternating Series Test for Convergence
10.8
Ratio Test for Convergence
10.9
Determining Absolute or Conditional Convergence
10.10
Alternating Series Error Bound
10.11
Finding Taylor Polynomial Approximations of Functions
10.12
Lagrange Error Bound
10.13
Radius and Interval of Convergence of Power Series
10.14
Finding Taylor or Maclaurin Series for a Function
10.15
Representing Functions as Power Series
AP Calculus AB Exam Guide
AP Calculus BC Exam Guide
3
Download AP Calculus Cheat Sheet PDF Cram Chart
What is U-Sub and how do I use it?
What to Know Before Taking AP Calculus AB
What Calculator Functions Will Save Your Life?
4
Is AP Calculus AB/BC Hard? Is AP Calc Worth Taking?
5
What are Riemann Sums?
6
How Can I Get a 5 in AP Calculus AB/BC?
7
Unit 1 Review - Limits & Continuity
8
Best AP Calculus AB/BC Quizlet Decks By Unit
9
How do I take a derivative?
10
What is U-Substitution?
11
What Memes Are Perfect for AP Calculus AB/BC?
12
Unit 2 Review - Differentiation: Definition & Fundamental Properties
13
How do you defining and taking derivatives?
14
What is a Limit?
15
What is implicit differentiation and how do I do it?
AP Calculus Multiple Choice Questions
AP Calculus AB/BC Multiple Choice Help (MCQ)
AP Calculus Free Response Question (FRQ) Overview
Score Higher on AP Calculus 2024: MCQ Tips from Students
Score Higher on AP Calculus 2024: FRQ Tips from Students
2015 FRQ Review
🎉NMSI AP Reader Chat: Calculus (AB and BC)
2017 FRQ Review
Justifying and Explaining Your Answers
Review: Using the Graph of a Derivative FRQ
2019 FRQ Review
2018 FRQ Review
Review: Table/Data Questions
2016 FRQ Review
AP Calc BC Cram Unit 6: BC Concepts (Integration by parts, Using Linear Partial Fractions, and Improper Integrals)
AP Calc AB Cram Unit 6: Integration and Accumulation of Change
AP Calc AB Cram Unit 8: Applications of Integration
AP Calc AB Cram Unit 2: Differentiation: Definition and Fundamental Properties
AP Calc AB Finale Slides
🌶️ AP Calc Cram Review: Unit 10: Infinite Sequence and Series Part 2
AP Calc AB Cram Free Response Practice
🌶️ AP Calc Cram Review: Unit 10: Infinite Sequence and Series Part 1
AP Calc BC Finale Slides
🌶️ AP Calc Cram Review: Unit 6 BC Concepts (Integration by parts, Using Linear Partial Fractions, and Improper Integrals)
AP Calc BC Cram Unit 7 and 8 BC Concepts (Euler's Method, Logistics Models, and Arc Length)
🌶️ AP Calc Cram Review: Unit 6: Integration and Accumulation of Change
AP Calc BC Cram Unit 9: Parametric Equations, Polar Coordinates
🌶️ AP Calc Cram Review: Unit 7: Differential Equations
🌶️ AP Calc Cram Review: Free Response Practice
16
🌶️ AP Calc Cram Review: Unit 1: Limits and Continuity
17
🌶️ AP Calc Cram Review: Unit 9: Parametric Equations, Polar Coordinates
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AP Calc AB Cram Unit 4: Contextual Applications of Differentiation
20
AP Calc BC Cram Free Response Tips and Tricks
21
🌶️ AP Calc Cram Review: Unit 8: Applications of Integration
22
🌶️ AP Calc Cram Review: Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
23
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🌶️ AP Calc Cram Review Free Response Practice
25
🌶️ AP Calc Cram Review: Unit 7 and 8 BC Concepts (Euler's Method, Logistics Models, and Arc Length)
26
🌶️ AP Calc Cram Review: Unit 2: Differentiation: Definition and Fundamental Properties
27
🌶️ AP Calc Cram Review Free Response Tips and Tricks
28
AP Calc AB Finale
29
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🌶️ AP Calc Cram Review: Unit 4: Contextual Applications of Differentiation
31
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AP Calc AB Cram Unit 7: Differential Equations
33
🌶️ AP Calculus AB Finale Watch Party Admin 3
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🌶️ AP Calc AB Finale May 3, 2021
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AP Calc AB Cram Unit 5: Analytical Applications of Differentiation
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AP Calc BC Cram Unit 10: Infinite Sequence and Series Part 2
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🌶️ AP Calc BC Finale May 3, 2021
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AP Calc BC Finale
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🌶️ AP Calculus AB + BC Finale Watch Party Admin 2
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AP Calc AB Cram Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
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🌶️ AP Calc Cram Review: Unit 5: Analytical Applications of Differentiation
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AP Calc AB Cram Unit 1: Limits and Continuity
45
AP Calc BC Cram Unit 10: Infinite Sequence and Series Part 1
Tabular Calculus FRQs
Multi-Topic Questions for 2020
Curve Sketching
Related Rates
The Fundamental Theorem of Calculus
Taylor Series (BC)
Separable Differential Equations
Calc BC Tests for Series Convergence
Limits, Continuity & Differentiability
Finding Derivatives
Sample FRQ and Strategies
Sample FRQs (BC)
