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Calculus 2

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Calculus 2

Practice 75 skills across this outline.

Recommended next
Cross Sections: Triangles & Semicircles
Applications of Integration · Volumes of Solids
Long-form lesson
Weighting distribution
20 categories
Integration Foundations
14%
Problem-Solving & Modeling Tools
14%
Techniques of Integration · General Skills
10%
Applications of Integration · Volumes of Solids
9%
Parametric, Polar & Vector Functions · Parametric Curves
9%
Sequences & Series · Convergence Tests
7%

Skills

The comprehensive taxonomy of calculus 2 — drill into a card to work its skills.

Applications of Integration · Volumes of Solids

7 core skills9% total weight
0/7 completed
7 skills to mastery
1
Cross Sections: Triangles & SemicirclesRecommended
27 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Washer Method: x- or y-AxisAvailable
2 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
3
Disc Method: Other AxesAvailable
30 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
4
Washer Method: Other AxesAvailable
29 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
5
Disc Method: x- or y-AxisAvailable
5 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
6
Shell MethodAvailable
26 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
7
Cross Sections: Squares & RectanglesAvailable
28 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Applications of Integration · Applications of Integration

3 core skills3% total weight
0/3 completed
3 skills to mastery
1
Arc Length & Distance TraveledAvailable
24 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Surface Area of RevolutionAvailable
0 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems — not available yet
3
Arc Length (Cartesian)Available
25 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Applications of Integration · Area Between Curves

3 core skills1% total weight
0/3 completed
3 skills to mastery
1
Area Between Multiple IntersectionsAvailable
3 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Area Between Curves (x-functions)Available
3 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
3
Area Between Curves (y-functions)Available
3 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Applications of Integration · General Skills

3 core skills2% total weight
0/3 completed
3 skills to mastery
1
Average Value of a FunctionAvailable
5 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Position, Velocity, Acceleration via IntegralsAvailable
24 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
3
Accumulation Functions in ContextAvailable
7 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Parametric, Polar & Vector Functions · Polar Coordinates and Curves

4 core skills1% total weight
0/4 completed
4 skills to mastery
1
Area of a Polar RegionAvailable
4 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Polar Coordinates & DifferentiationAvailable
4 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
3
Slope & Tangent Lines in PolarAvailable
3 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
4
Area Between Two Polar CurvesAvailable
2 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Parametric, Polar & Vector Functions · Vector-Valued Functions

2 core skills4% total weight
0/2 completed
2 skills to mastery
1
Vector-Valued Functions & DerivativesAvailable
27 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Integrating Vector-Valued FunctionsAvailable
23 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Parametric, Polar & Vector Functions · Parametric Curves

5 core skills9% total weight
0/5 completed
5 skills to mastery
1
Area Between Parametric CurvesAvailable
24 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Second Derivatives: ParametricAvailable
18 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
3
Arc Length of Parametric CurvesAvailable
23 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
4
Motion with Parametric & Vector FunctionsAvailable
27 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
5
Parametric Equations & DerivativesAvailable
4 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Sequences & Series · Convergence Tests

7 core skills7% total weight
0/7 completed
7 skills to mastery
1
Ratio TestAvailable
35 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Comparison TestsAvailable
32 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
3
Integral TestAvailable
28 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
4
Absolute vs. Conditional ConvergenceAvailable
28 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
5
Alternating Series TestAvailable
30 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
6
Radius & Interval of ConvergenceAvailable
32 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
7
nth Term Test for DivergenceAvailable
34 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Sequences & Series · Power Series and Taylor Series

4 core skills2% total weight
0/4 completed
4 skills to mastery
1
Taylor Polynomial ApproximationsAvailable
7 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Taylor & Maclaurin SeriesAvailable
29 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
3
Representing Series as Power SeriesAvailable
7 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
4
Taylor & Maclaurin ExpansionsAvailable
7 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Sequences & Series · Sequences and Series Foundations

2 core skills2% total weight
0/2 completed
2 skills to mastery
1
Convergent & Divergent SeriesAvailable
25 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Sequence Convergence & LimitsAvailable
28 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Sequences & Series · Error Bounds and Approximations

2 core skills1% total weight
0/2 completed
2 skills to mastery
1
Alternating Series Error BoundAvailable
30 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Lagrange Error BoundAvailable
10 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Sequences & Series · General Skills

2 core skills2% total weight
0/2 completed
2 skills to mastery
1
Geometric SeriesAvailable
29 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Harmonic & p-SeriesAvailable
32 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Integration Foundations

9 core skills14% total weight
0/9 completed
9 skills to mastery
1
Integration: Long Division & Completing SquareAvailable
25 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Accumulations of ChangeAvailable
24 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
3
Selecting Integration TechniquesAvailable
34 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
4
Riemann Sums & NotationAvailable
30 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
5
FTC & Definite IntegralsAvailable
27 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
6
Accumulation Function BehaviorAvailable
26 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
7
FTC & Accumulation FunctionsAvailable
28 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
8
Properties of Definite IntegralsAvailable
23 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
9
Riemann Sum ApproximationsAvailable
5 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Techniques of Integration · General Skills

6 core skills10% total weight
0/6 completed
6 skills to mastery
1
Improper IntegralsAvailable
30 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Linear Partial FractionsAvailable
30 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
3
Partial Fractions: Repeated & QuadraticsAvailable
29 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
4
Integration by SubstitutionAvailable
28 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
5
Choosing Integration MethodsAvailable
35 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
6
Integration by PartsAvailable
32 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Techniques of Integration · Trigonometric Integrals

3 core skills4% total weight
0/3 completed
3 skills to mastery
1
Trig SubstitutionAvailable
23 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Integrating tan & sec ProductsAvailable
26 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
3
Integrating sin & cos ProductsAvailable
30 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Differential Equations · General Skills

2 core skills4% total weight
0/2 completed
2 skills to mastery
1
Logistic ModelsAvailable
28 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Exponential Growth and Decay ModelsAvailable
32 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Differential Equations · Slope Fields and Qualitative Solutions

2 core skills4% total weight
0/2 completed
2 skills to mastery
1
Reasoning with Slope FieldsAvailable
28 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Sketching Slope FieldsAvailable
31 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Differential Equations · Differential Equations Basics

3 core skills3% total weight
0/3 completed
3 skills to mastery
1
Verifying DE SolutionsAvailable
6 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Euler's MethodAvailable
8 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
3
Modeling with Differential EquationsAvailable
32 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Differential Equations · Separable Differential Equations

3 core skills4% total weight
0/3 completed
3 skills to mastery
1
General Solutions: Separation of VariablesAvailable
29 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Solving Separable DEsAvailable
24 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
3
Particular Solutions: Initial ConditionsAvailable
19 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

Problem-Solving & Modeling Tools

3 core skills14% total weight
0/3 completed
3 skills to mastery
1
Approximation Error & BoundsAvailable
28 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
2
Algebraic & Trig SimplificationAvailable
33 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems
3
Interpreting Graphs for SetupAvailable
21 questions 0 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcards — not available yetPractice problems

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