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# Maths Methods U3 & 4 Master Notes

### Functions and Relations

1.1 Set Notations and Sets of Numbers

1.2 Describing a Set and Function

1.3 Introduction to Functions

1.4 Inverse Functions

### Functional Relations [24Hrs Free]

3.1 Introduction to Functional Relations

3.2 Index Laws

3.3 Logarithm Laws [Free]

3.4 Trigonometric Function Laws

### Compositions of Functions

4.1 Composite Functions

## A3 – Calculus

### Graphs of Derivatives and Antiderivatives

2.1 Graphs of Derivative Functions

2.2 Graphs of Antiderivative Functions

### Differentiation Rules

4.1 Sums and Differences

4.2 Chain Rule

4.3 Product and Quotient Rules

### Antiderivatives of Functions

6.1 Antiderivatives of Functions

### Sum of Area and Definite Integrals

7.1 Estimating Area as Sum of Rectangles

7.2 Sum of Area and Definite Integrals

### Anti-Differentiation

8.1 Anti-Differentiation Concepts

### Fundamental Theorem of Calculus

9.1 Fundamental Theorem of Calculus

### Properties of Antiderivatives

10.1 Algebraic Properties of Antiderivatives