Prof. Dan Roth (Olympic College)

# Table of contents

# Part I: Math

## Chapter 1: Trigonometry

1.1 Trig functions

1.2 Inverse trig functions

1.3 The Pythagorean theorem

## Chapter 2: Vectors

2.1 What is a vector?

2.2 Representation

2.3 Vector arithmetic and algebra

2.4 Vectors and trig

# Part II: Physics

## Chapter 3: Measurement and units

3.1 Measurement & Physically meaningful calculations

3.2 Significant figures

3.3 The SI system

3.4 Unit conversions

## Chapter 4: Measuring motion

4.1 Position

4.2 Velocity

4.3 Position vs. time

4.4 Acceleration

## Chapter 5: Rotational motion

5.1 Angular position, velocity, & acceleration

5.2 Connecting translation and rotation

## Chapter 6: Energy

6.1 Conservation

6.2 Inertia

6.3 Kinetic energy

6.4 Potential energy

6.5 Problem Solving

6.6 “Waste”

6.7 Conservation of energy revisited

## Chapter 7: Linear momentum

7.1 Linear Momentum

7.2 Collisions

7.3 Ballistic pendulum

7.4 Two-dimensional collisions

## Chapter 8: Angular momentum

8.1 Angular momentum

8.2 Conservation of angular momentum

8.3 Collisions with rotating objects

## Chapter 9: Force

9.1 Forces

9.2 Newton’s laws of motion

9.3 Types of forces we’ll use

9.4 Problem solving

9.5 Mechanical equilibrium

9.6 Inclined planes

9.7 Circular motion

9.8 Gravitation

## Chapter 10: Work

10.1 Work

10.2 Work & Energy

## Chapter 11: Torque

11.1 Torque

11.2 Newton’s laws, applied to rotation

11.3 Center of mass

11.4 Problem solving

11.5 Equilibrium revisited

## Chapter 12: Kinematics

12.1 1D Kinematics

12.2 2D Kinematics & Projectiles

# Part III: Appendices

## Appendix A: Math review

A.1 Math is a way of writing language

A.2 Basic algebra

A.3 Solving quadratic equations

A.4 Solving systems of two equations

# Other resources from Computational Class Notes

Trigonometry, by Mary Ann Kelso and Anwar Khader