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