AP Calculus BC Final Review
Created by Cathy J.
Test Topics
8.1 - Euler’s Method
8.3 - Models for Populations Growth: Logistic Model
7.1 - Integration by Parts
7.2 - Trigonometric Integrals
7.3 - Trigonometric Substitutions
7.4 - Integration of Rational Functions by Partial Fractions
7.6 - Improper Integrals
6.6 - Arc Length
7.5 - Strategy for Integration
10.1 Sequences
10.2 Infinite Series
10.3 Properties of Series with Positive Terms, Integral Test
10.4 Comparison Tests
10.5 Alternating Series, Absolute Convergence
10.6 Ratio and Root Test
10.7 Summary of Tests
10.8 Power Series and f(x)
10.9 Taylor and Maclaurin Series
10.10 Taylor Polynomial Approximations and Lagrange Error Bound
10.1, 2 Curves Defined by Parametric Equations
10.3 Polar Coordinates and Derivatives
10.4 Areas and Lengths in Polar Coordinates
,8.1 - Euler’s Method
Use: Tangent approximation for differential equations.
Given:
● Original point (𝑎, 𝑏)
● Find: 𝑦(𝑎1) = 𝑏1
● Slope 𝑚 from differential equation
1. 𝑦 = 𝑚(𝑥 − 𝑎) + 𝑏
2. Increase/decrease by a step size for x-value
3. Insert x-value into point-slope form to find the next point
4. Repeat until 𝑦(𝑎1) = 𝑏1
,
Created by Cathy J.
Test Topics
8.1 - Euler’s Method
8.3 - Models for Populations Growth: Logistic Model
7.1 - Integration by Parts
7.2 - Trigonometric Integrals
7.3 - Trigonometric Substitutions
7.4 - Integration of Rational Functions by Partial Fractions
7.6 - Improper Integrals
6.6 - Arc Length
7.5 - Strategy for Integration
10.1 Sequences
10.2 Infinite Series
10.3 Properties of Series with Positive Terms, Integral Test
10.4 Comparison Tests
10.5 Alternating Series, Absolute Convergence
10.6 Ratio and Root Test
10.7 Summary of Tests
10.8 Power Series and f(x)
10.9 Taylor and Maclaurin Series
10.10 Taylor Polynomial Approximations and Lagrange Error Bound
10.1, 2 Curves Defined by Parametric Equations
10.3 Polar Coordinates and Derivatives
10.4 Areas and Lengths in Polar Coordinates
,8.1 - Euler’s Method
Use: Tangent approximation for differential equations.
Given:
● Original point (𝑎, 𝑏)
● Find: 𝑦(𝑎1) = 𝑏1
● Slope 𝑚 from differential equation
1. 𝑦 = 𝑚(𝑥 − 𝑎) + 𝑏
2. Increase/decrease by a step size for x-value
3. Insert x-value into point-slope form to find the next point
4. Repeat until 𝑦(𝑎1) = 𝑏1
,
