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## 1. Mechanics

### 1.1. Newton's Laws

1.1.1. Inertial ref frames

1.1.2. eqns of motion

1.1.2.1. diff eqns

1.1.3. conservation laws

1.1.3.1. collisions

1.1.3.2. identical particles colliding elastically

1.1.3.3. energy graphs

### 1.2. Oscillators

1.2.1. some examples

1.2.2. harmonic approximation

## 2. Particle Physics

### 2.2. Families aka models

2.2.1. Standard model

2.2.2. supersymmetry

## 3. Algebra

### 3.1. Finding x

3.1.1. Simple linear equations

3.1.2. Simultaneous equations

3.1.2.1. linear

3.1.2.2. non-linear

3.1.3.1. fundamental thm of algebra

### 3.2. Handling all that stuff

3.2.1. Factorisation

3.2.2. Simplification

3.2.3. Some notational tricks

### 3.3. vector spaces

3.3.1. matrices

3.3.2. inner products

3.3.3. bases and axes

## 5. Calculus

### 5.1. Intro

5.1.1. Limits!

5.1.2. Rates of change

5.1.3. Riemann sums

5.1.4. Inverse functions & the FTofC