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All Courses
USA Undergraduate
AP Calculus AB
AP Calculus AB
Curriculum
7 Sections
38 Lessons
60 Hours
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Prerequisites for Calculus
4
1.0
Exponential Functions
1.1
Parametric Equations
1.2
Functions and Logarithms
1.3
Trigonometric Functions
Limits and Continuity
4
2.0
Rates of Change and Limits
2.1
Limits Involving Infinity
2.2
Continuity
2.3
Rates of change and Tangent lines
Derivatives
9
3.0
Derivative of a Function
3.1
Differentiability
3.2
Rules for Differentiation
3.3
Velocity and Other Rates of Change
3.4
Derivatives of Trigonometric Functions
3.5
Chain Rule
3.6
Implicit Differentiation
3.7
Derivatives of Inverse Trigonometric Functions
3.8
Derivatives of Exponential and Logarithmic Functions
Applications of Derivatives
6
4.0
Extreme Values of Functions
4.1
Mean Value Theorem
4.2
Connecting f’ and f’’ with the Graph of f
4.3
Modeling and Optimization
4.4
Linearization and Newton’s Method
4.5
Related Rates
The Definite Integral
5
5.0
Estimating with Finite Sums
5.1
Definite Integrals
5.2
Definite Integrals and Anti-derivatives
5.3
Fundamental Theorem of Calculus
5.4
Trapezoidal Rule
Differential Equations and Mathematical Modeling
5
6.0
Anti-derivatives and Slope Fields
6.1
Integration by Substitution
6.2
Exponential Growth and Decay
6.3
Population Growth
6.4
Numerical Methods
Applications of Definite Integrals
5
7.0
Integral as Net Change
7.1
Areas in the Plane
7.2
Volumes
7.3
Lengths of Curves
7.4
Applications from Science and Statistics
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