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IBDP Maths AI HL

Study Notes

1. Number and Algebra

1.1.1 Types of Numbers 1.1.2 Advanced Arithmetic 1.1.3 Number Properties

1.2.1 Exponential Functions 1.2.2 Logarithmic Functions 1.2.3 Applications

1.3.1 Convergence 1.3.2 Summation Notation 1.3.3 Infinite Series

1.4.1 Compound Interest 1.4.2 Annuities

1.5.1 Basics 1.5.2 Operations 1.5.3 Polar Form

1.1.1 Types of Numbers 1.1.2 Advanced Arithmetic 1.1.3 Number Properties

1.2.1 Exponential Functions 1.2.2 Logarithmic Functions 1.2.3 Applications

1.3.1 Convergence 1.3.2 Summation Notation 1.3.3 Infinite Series

1.4.1 Compound Interest 1.4.2 Annuities

1.5.1 Basics 1.5.2 Operations 1.5.3 Polar Form

2. Functions

2.1.1 Slope 2.1.2 Intercepts 2.1.3 Function Transformations

2.2.1 Polynomial Functions 2.2.2 Rational Functions 2.2.3 Inverse Functions

2.3.1 Regression Models 2.3.2 Model Assessment 2.3.3 Real-world Scenarios

2.1.1 Slope 2.1.2 Intercepts 2.1.3 Function Transformations

2.2.1 Polynomial Functions 2.2.2 Rational Functions 2.2.3 Inverse Functions

2.3.1 Regression Models 2.3.2 Model Assessment 2.3.3 Real-world Scenarios

3. Geometry & Trigonometry
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3.1.1 Coordinate Systems 3.1.2 Distance and Midpoint 3.1.3 Loci

3.2.1 Polyhedra 3.2.2 Surface Area and Volume 3.2.3 Nets

3.3.1 Circular Functions 3.3.2 Trigonometric Identities 3.3.3 Solving Trigonometric Equations

3.4.1 Inverse Trigonometric Functions 3.4.2 Trigonometric Form of Complex Numbers 3.4.3 Applications

3.5.1 Construction 3.5.2 Applications

3.1.1 Coordinate Systems 3.1.2 Distance and Midpoint 3.1.3 Loci

3.2.1 Polyhedra 3.2.2 Surface Area and Volume 3.2.3 Nets

3.3.1 Circular Functions 3.3.2 Trigonometric Identities 3.3.3 Solving Trigonometric Equations

3.4.1 Inverse Trigonometric Functions 3.4.2 Trigonometric Form of Complex Numbers 3.4.3 Applications

3.5.1 Construction 3.5.2 Applications

4. Statistics & Probability
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4.1.1 Data Collection 4.1.2 Data Representation 4.1.3 Central and Spread Measures

4.2.1 Types of Correlation 4.2.2 Regression Lines 4.2.3 Predictive Modelling

4.3.1 Non-linear Regression 4.3.2 Model Assessment 4.3.3 Advanced Applications

4.1.1 Data Collection 4.1.2 Data Representation 4.1.3 Central and Spread Measures

4.2.1 Types of Correlation 4.2.2 Regression Lines 4.2.3 Predictive Modelling

4.3.1 Non-linear Regression 4.3.2 Model Assessment 4.3.3 Advanced Applications

5. Calculus
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5.1.1 Basic Differentiation Rules 5.1.2 Advanced Differentiation 5.1.3 Higher Order Derivatives 5.1.4 Implicit Differentiation

5.2.1 Differentiation of Trigonometric Functions 5.2.2 Differentiation of Exponential and Logarithmic Functions 5.2.3 Applications

5.3.1 Basic Integration Rules 5.3.2 Techniques of Integration 5.3.3 Definite Integrals

5.4.1 Integration of Trigonometric Functions 5.4.2 Integration of Exponential and Logarithmic Functions 5.4.3 Applications

5.5.1 Basic Concepts 5.5.2 Equations of Motion 5.5.3 Applications

5.6.1 First Order Differential Equations 5.6.2 Second Order Differential Equations 5.6.3 Applications

5.7.1 Laplace Transforms 5.7.2 Systems of Differential Equations 5.7.3 Applications

5.1.1 Basic Differentiation Rules 5.1.2 Advanced Differentiation 5.1.3 Higher Order Derivatives 5.1.4 Implicit Differentiation

5.2.1 Differentiation of Trigonometric Functions 5.2.2 Differentiation of Exponential and Logarithmic Functions 5.2.3 Applications

5.3.1 Basic Integration Rules 5.3.2 Techniques of Integration 5.3.3 Definite Integrals

5.4.1 Integration of Trigonometric Functions 5.4.2 Integration of Exponential and Logarithmic Functions 5.4.3 Applications

5.5.1 Basic Concepts 5.5.2 Equations of Motion 5.5.3 Applications

5.6.1 First Order Differential Equations 5.6.2 Second Order Differential Equations 5.6.3 Applications

5.7.1 Laplace Transforms 5.7.2 Systems of Differential Equations 5.7.3 Applications

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