## Table of Contents

*Interlude 0 - The NEXUS/Physics idea*### Introduction to the class

- Overview: Introduction

### Using math in science

- Overview: Modeling with mathematics
- How math in science is different from math in math
- The structure of physical modeling
- Measurement
- Dimensionalities
- Estimation
- Approximations
- Mathematics Recap
- Building your mathematical toolbelt
- The dimensional analysis tool
- The scaling tool
- The special case tool
- Toy models
- Reading the physics in a graph
- Anchor equations -- Reading the physics in an equation
- The repackaging tool: Changing physics equations to math (and back)
- Building equations from the physics
- Telling the story
- The estimation tool
- The diagram tool
- Putting your tools together

- Overview: Modeling with mathematics

*Interlude 1 - The Main Question: How do things move?**Interlude 2 - Dynamics: Causes of motion*### Newton's Laws

### Modeling Forces

### Coherent vs random motion

*Interlude 3 -Macro models of matter**Interlude 4 - Energy: The Quantity of Motion and its Distribution**Interlude 5 - The Micro to Macro Connection*### Thermodynamics and statistical physics

- Overview: Thermodynamics and Statistical Physics
- Kinetic theory: The ideal gas law
- The 1st law of thermodynamics
- The 2nd Law of Thermodynamics
- The 2nd Law of Thermodynamics -- A Probabilistic Law
- Entropy -- implications of the 2nd law of thermodynamics
- Motivating Free Energy
- Fluctuations -- How energy is distributed

- Overview: Thermodynamics and Statistical Physics

*Interlude 6 - Electricity, Magnetism, and Electromagnetism**Interlude 7 - Oscillations and waves*### The harmonic oscillator

### Waves in one dimension

### Light