Advanced / A-Level

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UNIT 1

Pure Algebra

6 lessons

1. Proof

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2. Algebraic manipulation

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3. Polynomials

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4. Partial fractions

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5. Binomial expansion

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6. Sequences and series

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UNIT 2

Functions & Graphs

5 lessons

1. Functions

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2. Composite and inverse functions

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3. Modulus

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4. Graph transformations

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5. Parametric equations

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UNIT 3

Trigonometry

5 lessons

1. Radians

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2. Trig identities

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3. Trig equations

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4. Small-angle approximations

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5. Inverse trig functions

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UNIT 4

Calculus

6 lessons

1. Differentiation

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2. Applications of derivatives

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3. Integration

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4. Integration techniques

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5. Differential equations

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6. Numerical methods

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UNIT 5

Exponentials & Logarithms

4 lessons

1. Exponential models

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2. Laws of logarithms

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3. Solving exponential equations

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4. Growth and decay

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UNIT 6

Vectors

4 lessons

1. 2D vectors

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2. 3D vectors

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3. Lines in vector form

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4. Scalar product

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UNIT 7

Statistics

6 lessons

1. Data representation

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2. Probability distributions

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3. Binomial distribution

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4. Normal distribution

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5. Hypothesis testing

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6. Correlation and regression

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UNIT 8

Mechanics

6 lessons

1. Kinematics

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2. Forces and Newton laws

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3. Moments

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4. Projectiles

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5. Work energy and power

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6. Momentum

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Advanced / A-Level

Pure Algebra

Functions & Graphs

Trigonometry

Calculus

Exponentials & Logarithms

Vectors

Statistics

Mechanics

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