DME AP Calculus
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AP Calculus AB & BC — All 10 Units
Complete coverage · Expert tutoring · AI assistance · Timed tests & mocks
Unit 1Free Preview
Limits and Continuity
- Limits graphically & numerically
- Algebraic evaluation
- Continuity
- Squeeze theorem
Unit 2
Differentiation: Definition
- Average vs instantaneous rate
- Definition of derivative
- Basic differentiation rules
- Product & quotient rules
Unit 3
Differentiation: Composite & Implicit
- Chain rule
- Implicit differentiation
- Inverse functions
- Higher order derivatives
Unit 4
Contextual Applications
- Related rates
- Linear approximation
- L'Hôpital's rule
- Motion problems
Unit 6
Integration & Accumulation
- Riemann sums
- Fundamental theorem
- Antiderivatives
- U-substitution
Unit 7
Differential Equations
- Slope fields
- Euler's method
- Separable equations
- Exponential models
Unit 8
Applications of Integration
- Average value
- Area between curves
- Volume of solids
- Arc length
Unit 9
Parametric & Polar
- Parametric equations
- Vector functions
- Polar coordinates
- Polar area
Unit 10
Infinite Sequences & Series
- Convergence tests
- Taylor series
- Power series
- Lagrange error
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