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AP Calculus BC

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AP Calculus BC

Practice 111 skills across this outline.

Recommended next
Local Linearity and Linearization
Contextual Applications of Differentiation
Long-form lesson
Weighting distribution
10 categories
Contextual Applications of Differentiation
10%
Differentiation: Composite, Implicit, and Inverse Functions
10%
Applications of Integration
10%
Integration and Accumulation of Change
10%
Parametric, Polar, and Vector Functions
10%
Differentiation: Definition and Fundamental Properties
10%

Skills

The comprehensive taxonomy of ap calculus bc — drill into a card to work its skills.

Contextual Applications of Differentiation

7 core skills10% total weight
0/7 completed
7 skills to mastery
1
Local Linearity and LinearizationRecommended
55 questions 68 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Connecting Position, Velocity, and AccelerationAvailable
35 questions 70 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
4
L'Hospital's RuleAvailable
66 questions 57 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
5
Meaning of the Derivative in ContextAvailable
62 questions 66 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
6
Rates of Change in Applied ConceptsAvailable
38 questions 75 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Differentiation: Composite, Implicit, and Inverse Functions

6 core skills10% total weight
0/6 completed
6 skills to mastery
1
Selecting Procedures for Calculating DerivativesAvailable
39 questions 74 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Calculating Higher-Order DerivativesAvailable
46 questions 49 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
3
Chain RuleAvailable
65 questions 64 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
4
Differentiating Inverse Trigonometric FunctionsAvailable
49 questions 76 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
5
Differentiating Inverse FunctionsAvailable
33 questions 32 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
6
Implicit DifferentiationAvailable
15 questions 60 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Applications of Integration

13 core skills10% total weight
0/13 completed
13 skills to mastery
1
Area Between Curves with Multiple IntersectionsAvailable
49 questions 74 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Accumulation Functions, Definite Intervals, Applied ContextsAvailable
81 questions 66 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
3
Arc Length of Smooth, Planar CurveAvailable
40 questions 54 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
4
Area Between Curves: Functions of xAvailable
42 questions 64 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
5
Area Between Curves: Functions of yAvailable
42 questions 64 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
6
Average Value of Functions on IntervalsAvailable
61 questions 77 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
7
Disc Method: Revolving Around Other AxesAvailable
50 questions 32 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
8
Disc Method: Revolving Around x/y AxesAvailable
85 questions 59 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
9
Position, Velocity, and Acceleration Using IntegralsAvailable
45 questions 54 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
10
Volumes with Cross Sections: Squares/RectanglesAvailable
80 questions 54 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
11
Washer Method: Revolving Around x/y AxesAvailable
38 questions 42 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
12
Washer Method: Revolving Around Other AxesAvailable
27 questions 68 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
13
Volumes with Cross Sections: Triangles/SemicirclesAvailable
55 questions 57 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Integration and Accumulation of Change

14 core skills10% total weight
0/14 completed
14 skills to mastery
1
Behavior of Accumulation Functions Involving AreaAvailable
25 questions 70 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Riemann Sums and NotationAvailable
24 questions 72 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
3
Applying Properties of Definite IntegralsAvailable
52 questions 66 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
4
Approximating Areas With Riemann SumsAvailable
15 questions 60 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
5
Evaluating Improper IntegralsAvailable
71 questions 56 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
6
Exploring Accumulations of ChangeAvailable
27 questions 52 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
7
Finding Antiderivatives and Indefinite IntegralsAvailable
58 questions 66 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
8
Fundamental Theorem of Calculus: Accumulation FunctionsAvailable
58 questions 32 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
9
Fundamental Theorem of Calculus: Definite IntervalsAvailable
59 questions 40 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
10
Integrating, Long Division, Completing the SquareAvailable
38 questions 64 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
11
Integrating Using SubstitutionAvailable
38 questions 36 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
12
Integrating Using Integration By PartsAvailable
30 questions 63 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
13
Selecting Techniques for AntidifferentiationAvailable
87 questions 30 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
14
Using Linear Partial FractionsAvailable
22 questions 74 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Parametric, Polar, and Vector Functions

9 core skills10% total weight
0/9 completed
9 skills to mastery
1
Motion Problems, Parametric, Vector-Valued FunctionsAvailable
45 questions 52 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Arc Lengths of Curves: Parametric EquationsAvailable
54 questions 68 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
3
Area Bounded By Two Polar CurvesAvailable
21 questions 72 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
4
Area of a Polar RegionAvailable
49 questions 48 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
5
Defining and Differentiating Parametric EquationsAvailable
64 questions 71 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
6
Defining and Differentiating Vector-Valued FunctionsAvailable
60 questions 59 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
7
Integrating Vector-Valued FunctionsAvailable
46 questions 48 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
8
Polar Coordinates and DifferentiationAvailable
34 questions 32 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
9
Second Derivatives of Parametric EquationsAvailable
36 questions 39 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Differentiation: Definition and Fundamental Properties

10 core skills10% total weight
0/10 completed
10 skills to mastery
1
Derivatives of Reciprocal Trig FunctionsAvailable
59 questions 60 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Applying the Power RuleAvailable
56 questions 78 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
3
Connecting Differentiability and ContinuityAvailable
31 questions 68 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
4
Derivative Rules of Constant, Sum, DifferenceAvailable
77 questions 76 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
5
Derivative NotationAvailable
77 questions 68 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
6
Derivatives of Trigonometry and Logarithmic FunctionsAvailable
89 questions 76 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
7
Estimating Derivatives of a FunctionAvailable
20 questions 74 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
8
Rate of Change at a PointAvailable
52 questions 71 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
9
The Quotient RuleAvailable
59 questions 73 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
10
The Product RuleAvailable
65 questions 65 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Limits and Continuity

16 core skills10% total weight
0/16 completed
16 skills to mastery
1
Algebraic Properties of LimitsAvailable
21 questions 72 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Confirming Continuity over an IntervalAvailable
36 questions 64 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
3
Connecting Multiple Representations of LimitsAvailable
26 questions 74 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
4
Connecting Infinite Limits and Vertical AsymptotesAvailable
52 questions 68 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
5
Defining Continuity at a PointAvailable
45 questions 57 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
6
Defining Limits and Using Limit NotationAvailable
41 questions 75 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
7
Determining Limits Using Algebraic ManipulationAvailable
49 questions 39 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
8
Determining Limits Using the Squeeze TheoremAvailable
31 questions 60 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
9
Estimating Limit Values from GraphsAvailable
18 questions 54 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
10
Estimating Limit Values from TablesAvailable
15 questions 64 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
11
Exploring Types of DiscontinuitiesAvailable
56 questions 74 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
12
Introducing CalculusAvailable
80 questions 72 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
13
Limits at Infinity and Horizontal AsymptotesAvailable
63 questions 72 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
14
Removing DiscontinuitiesAvailable
32 questions 72 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
15
Selecting Procedures for Determining LimitsAvailable
40 questions 68 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
16
Working With the Intermediate Value TheoremAvailable
73 questions 54 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Infinite Sequences and Series

15 core skills10% total weight
0/15 completed
15 skills to mastery
1
Alternating Series Error BoundAvailable
60 questions 75 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Alternating Series Test for ConvergenceAvailable
54 questions 61 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
3
Comparison Tests for ConvergenceAvailable
31 questions 55 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
4
Defining Convergent and Divergent Infinite SeriesAvailable
50 questions 61 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
5
Determining Absolute or Conditional ConvergenceAvailable
66 questions 61 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
6
Finding Taylor Polynomial Approximations of FunctionsAvailable
58 questions 58 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
7
Harmonic Series and p-SeriesAvailable
53 questions 59 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
8
Integral Test for ConvergenceAvailable
52 questions 64 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
9
Lagrange Error BoundAvailable
63 questions 71 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
10
Power Series: Radius, Interval of ConvergenceAvailable
54 questions 72 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
11
Ratio Test for ConvergenceAvailable
40 questions 57 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
12
Representing Series as Power SeriesAvailable
37 questions 56 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
13
Taylor and Maclaurin SeriesAvailable
35 questions 62 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
14
The nth Term Test for DivergenceAvailable
45 questions 73 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
15
Working with Geometric SeriesAvailable
28 questions 70 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Analytical Applications of Differentiation

12 core skills10% total weight
0/12 completed
12 skills to mastery
1
Candidates TestAvailable
58 questions 64 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Concavity of Functions Over Their DomainsAvailable
20 questions 60 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
3
Connecting a Function and Its DerivativesAvailable
43 questions 76 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
4
Determining Intervals on Increasing, Decreasing FunctionsAvailable
75 questions 52 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
5
Exploring Behaviors of Implicit RelationsAvailable
52 questions 48 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
6
Extreme Value Theorem, Extrema, Critical PointsAvailable
34 questions 66 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
7
First Derivative TestAvailable
55 questions 64 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
8
Introduction to Optimization ProblemsAvailable
48 questions 56 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
9
Mean Value TheoremAvailable
58 questions 48 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
10
Second Derivative TestAvailable
87 questions 60 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
11
Sketching Graphs of Functions and DerivativesAvailable
42 questions 61 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
12
Solving Optimization ProblemsAvailable
35 questions 62 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Differential Equations

9 core skills10% total weight
0/9 completed
9 skills to mastery
1
Euler's MethodAvailable
12 questions 50 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Exponential Models with Differential EquationsAvailable
68 questions 61 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
3
Finding General Solutions: Separation of VariablesAvailable
55 questions 73 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
4
Initial Conditions and Separation of VariablesAvailable
60 questions 66 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
5
Logistic Models with Differential EquationsAvailable
30 questions 72 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
6
Modeling Situations with Differential EquationsAvailable
54 questions 70 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
7
Reasoning Using Slope FieldsAvailable
26 questions 78 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
8
Sketching Slope FieldsAvailable
50 questions 32 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
9
Verifying Solutions for Differential EquationsAvailable
82 questions 74 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

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