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Mr. Humphries AP Calculus
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Units
Unit 1: Review
1.0 Algebra Review
1.1 Slope and Lines
1.2 Functions
1.3 Composite Functions
1.4 Inverse Functions
1.5 Trigonometry
Unit 2: Limits
2.1 Limits Introduction
2.2 Limits Involving Infinity
2.3 Continuity
2.4 Rates and Tangent Lines
Unit 3: Differentiation
3.1 The Derivative
3.2 Differentiability
3.3 Differentiation Rules
3.4 Kinematics
3.5 Trigonometric Derivatives
3.6 The Chain Rule
3.7 Implicit Differentiation
3.8 Derivatives of Exponents and Logarithms
Unit 4: Applications of Differential Calculus
4.1 Extreme Values
4.2 Mean Value Theorem
4.3 Concavity and Inflection
4.4 Optimization
4.5 Local Linearization
4.6 Related Rates
4.7 L'Hopitals Rule
Unit 5: Integration
5.1 Rectangular Approximation Method
5.2 Definite Integrals
5.3 Integral Properties
5.4 Fundamental Theorem of Calculus
5.5 Trapezoidal Rule
5.6 Integration by Substitution
Unit 6: Applications of Integration
6.1 Accumulated Change
6.2 Area Between Curves
6.3 Volumes of Revolution
Unit 7: Differential Equations
7.1 Basic Differential Equations
7.2 Separable Differential Equations
Unit 8: Improper Integrals
8.1 Relative Growth
8.2 Improper Integrals
Unit 9: Series
9.1 Geometric and Power Series
9.2 Taylor Series
9.3 Remainder Theorem and Lagrange Error Bound
9.4 Convergence
9.5 Convergence Tests
Unit 10: Parametric and Polar Equations
10.1 Parametric Functions
10.2 Vector Valued Functions
10.3 Polar Functions
Unit 11: Advanced Integration Applications
11.1 Partial Fractions
11.2 Logistic Growth
11.3 Eulers Method
11.4 Curve Length
Resources
Contact Me
Mr. Humphries AP Calculus
Home
Units
Unit 1: Review
1.0 Algebra Review
1.1 Slope and Lines
1.2 Functions
1.3 Composite Functions
1.4 Inverse Functions
1.5 Trigonometry
Unit 2: Limits
2.1 Limits Introduction
2.2 Limits Involving Infinity
2.3 Continuity
2.4 Rates and Tangent Lines
Unit 3: Differentiation
3.1 The Derivative
3.2 Differentiability
3.3 Differentiation Rules
3.4 Kinematics
3.5 Trigonometric Derivatives
3.6 The Chain Rule
3.7 Implicit Differentiation
3.8 Derivatives of Exponents and Logarithms
Unit 4: Applications of Differential Calculus
4.1 Extreme Values
4.2 Mean Value Theorem
4.3 Concavity and Inflection
4.4 Optimization
4.5 Local Linearization
4.6 Related Rates
4.7 L'Hopitals Rule
Unit 5: Integration
5.1 Rectangular Approximation Method
5.2 Definite Integrals
5.3 Integral Properties
5.4 Fundamental Theorem of Calculus
5.5 Trapezoidal Rule
5.6 Integration by Substitution
Unit 6: Applications of Integration
6.1 Accumulated Change
6.2 Area Between Curves
6.3 Volumes of Revolution
Unit 7: Differential Equations
7.1 Basic Differential Equations
7.2 Separable Differential Equations
Unit 8: Improper Integrals
8.1 Relative Growth
8.2 Improper Integrals
Unit 9: Series
9.1 Geometric and Power Series
9.2 Taylor Series
9.3 Remainder Theorem and Lagrange Error Bound
9.4 Convergence
9.5 Convergence Tests
Unit 10: Parametric and Polar Equations
10.1 Parametric Functions
10.2 Vector Valued Functions
10.3 Polar Functions
Unit 11: Advanced Integration Applications
11.1 Partial Fractions
11.2 Logistic Growth
11.3 Eulers Method
11.4 Curve Length
Resources
Contact Me
More
Home
Units
Unit 1: Review
1.0 Algebra Review
1.1 Slope and Lines
1.2 Functions
1.3 Composite Functions
1.4 Inverse Functions
1.5 Trigonometry
Unit 2: Limits
2.1 Limits Introduction
2.2 Limits Involving Infinity
2.3 Continuity
2.4 Rates and Tangent Lines
Unit 3: Differentiation
3.1 The Derivative
3.2 Differentiability
3.3 Differentiation Rules
3.4 Kinematics
3.5 Trigonometric Derivatives
3.6 The Chain Rule
3.7 Implicit Differentiation
3.8 Derivatives of Exponents and Logarithms
Unit 4: Applications of Differential Calculus
4.1 Extreme Values
4.2 Mean Value Theorem
4.3 Concavity and Inflection
4.4 Optimization
4.5 Local Linearization
4.6 Related Rates
4.7 L'Hopitals Rule
Unit 5: Integration
5.1 Rectangular Approximation Method
5.2 Definite Integrals
5.3 Integral Properties
5.4 Fundamental Theorem of Calculus
5.5 Trapezoidal Rule
5.6 Integration by Substitution
Unit 6: Applications of Integration
6.1 Accumulated Change
6.2 Area Between Curves
6.3 Volumes of Revolution
Unit 7: Differential Equations
7.1 Basic Differential Equations
7.2 Separable Differential Equations
Unit 8: Improper Integrals
8.1 Relative Growth
8.2 Improper Integrals
Unit 9: Series
9.1 Geometric and Power Series
9.2 Taylor Series
9.3 Remainder Theorem and Lagrange Error Bound
9.4 Convergence
9.5 Convergence Tests
Unit 10: Parametric and Polar Equations
10.1 Parametric Functions
10.2 Vector Valued Functions
10.3 Polar Functions
Unit 11: Advanced Integration Applications
11.1 Partial Fractions
11.2 Logistic Growth
11.3 Eulers Method
11.4 Curve Length
Resources
Contact Me
1.2 Functions
Copy of 1.2 MS.pdf
Homework
A review of different types of functions to prepare for Calculus.
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