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- Calculus BC

#### Calculus BC

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Techniques of Integration

- Basic Integration Rules
- Trigonometric Integrals
- Trigonometric Substitutions
- L’Hospital’s Rule
- Integration by Partial Fractions
- Integration by Parts
- Improper Integrals

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Further Applications of Integration

- Slope Field
- Separable Differential Equations
- Exponential Growth and Decay
- Logistic Equations
- Euler’s Method

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Parametric Equations, Vectors, and Polar Coordinates

- Slopes and Tangents to the Parametric Curves
- Arc Length (Distance Traveled Along a Curve) in Parametric Form
- Vector Valued Functions
- Polar Coordinates and Slopes of Curves
- Areas in Polar Coordinates

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Infinite Sequences and Series

- Sequences and Series
- The Integral Test and p-Series
- The Comparison Test
- Alternating Series and Error Bound
- The Ratio Test
- Convergence of Power Series
- Representations of Functions as Power Series
- Taylor Polynomial and Lagrange Error Bound
- Taylor Series and Maclaurin Series