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AP Calculus BC

Les chapitres suivent la structure officielle du College Board : 10 unités, 52 chapitres. La première unité est ouverte à tous, la suite est réservée aux membres.

Les cours sont rédigés en anglais, la langue de l'examen.

AP Calculus BC : ce que l'abonnement débloque

  • 48 cours de chapitre
  • 480 questions de quiz
  • Quiz d'unité et passage d'une unité
  • 1 examens blancs par mois avec rapports de progression détaillés
Voir l'abonnement

Unité 1

Limits and Continuity

4 chapitresGratuit
  1. 1.1Understanding Limits: Graphs, Tables, and Notation
  2. 1.2Evaluating Limits Algebraically
  3. 1.3Limits Involving Infinity and Asymptotes
  4. 1.4Continuity and the Intermediate Value Theorem

Unité 2

Differentiation: Definition and Basic Rules

5 chapitresMembres
  1. 2.1The Definition of the Derivative
  2. 2.2Differentiability and Continuity
  3. 2.3Power, Sum, and Constant Multiple Rules
  4. 2.4Product and Quotient Rules
  5. 2.5Derivatives of Trigonometric, Exponential, and Logarithmic Functions

Unité 3

Differentiation: Composite, Implicit, and Inverse Functions

4 chapitresMembres
  1. 3.1The Chain Rule
  2. 3.2Implicit Differentiation
  3. 3.3Derivatives of Inverse and Inverse Trigonometric Functions
  4. 3.4Higher-Order Derivatives

Unité 4

Contextual Applications of Differentiation

4 chapitresMembres
  1. 4.1The Derivative as a Rate of Change
  2. 4.2Motion Along a Line
  3. 4.3Related Rates
  4. 4.4Local Linearity and L'Hospital's Rule

Unité 5

Analytical Applications of Differentiation

5 chapitresMembres
  1. 5.1The Mean Value Theorem and Extreme Value Theorem
  2. 5.2Increasing and Decreasing Functions and the First Derivative Test
  3. 5.3Concavity and the Second Derivative Test
  4. 5.4Connecting f, f', and f''
  5. 5.5Optimization

Unité 6

Integration and Accumulation of Change

7 chapitresMembres
  1. 6.1Accumulation and Riemann Sums
  2. 6.2The Definite Integral and the Fundamental Theorem of Calculus
  3. 6.3Antiderivatives and Indefinite Integrals
  4. 6.4Integration by Substitution
  5. 6.5Integration by Parts
  6. 6.6Integration with Partial Fractions
  7. 6.7Improper Integrals

Unité 7

Differential Equations

5 chapitresMembres
  1. 7.1Separable Differential Equations
  2. 7.2Slope Fields
  3. 7.3Exponential Growth and Decay
  4. 7.4Euler's Method
  5. 7.5Logistic Models

Unité 8

Applications of Integration

6 chapitresMembres
  1. 8.1Average Value of a Function
  2. 8.2Motion and Net Change with Integrals
  3. 8.3Area Between Curves
  4. 8.4Volumes with Cross Sections
  5. 8.5Volumes by the Disc and Washer Methods
  6. 8.6Arc Length of a Smooth Curve

Unité 9

Parametric Equations, Polar Coordinates, and Vector-Valued Functions

4 chapitresMembres
  1. 9.1Parametric Equations: Derivatives and Arc Length
  2. 9.2Vector-Valued Functions and Motion in the Plane
  3. 9.3Polar Curves and Their Derivatives
  4. 9.4Area in Polar Coordinates

Unité 10

Infinite Sequences and Series

8 chapitresMembres
  1. 10.1Sequences, Series, and Geometric Series
  2. 10.2The nth Term Test, Integral Test, and p-Series
  3. 10.3Comparison Tests
  4. 10.4Alternating Series and the Error Bound
  5. 10.5The Ratio Test and Absolute Convergence
  6. 10.6Taylor Polynomials and the Lagrange Error Bound
  7. 10.7Power Series: Radius and Interval of Convergence
  8. 10.8Taylor and Maclaurin Series