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## 1. Algebra

### 1.1. Finding x

1.1.1. Simple linear equations

1.1.2. Simultaneous equations

1.1.2.1. linear

1.1.2.2. non-linear

1.1.3.1. fundamental thm of algebra

### 1.2. Handling all that stuff

1.2.1. Factorisation

1.2.2. Simplification

1.2.3. Some notational tricks

### 1.3. vector spaces

1.3.1. matrices

1.3.2. inner products

1.3.3. bases and axes

## 3. Calculus

### 3.1. Intro

3.1.1. Limits!

3.1.2. Rates of change

3.1.3. Riemann sums

3.1.4. Inverse functions & the FTofC

## 4. Mechanics

### 4.1. Newton's Laws

4.1.1. Inertial ref frames

4.1.2. eqns of motion

4.1.2.1. diff eqns

4.1.3. conservation laws

4.1.3.1. collisions

4.1.3.2. identical particles colliding elastically

4.1.3.3. energy graphs

### 4.2. Oscillators

4.2.1. some examples

4.2.2. harmonic approximation

## 5. Particle Physics

### 5.2. Families aka models

5.2.1. Standard model

5.2.2. supersymmetry