Worksheets
From charlesreid1
Overview
This page contains worksheets related to various topics.
Notes
Each of these worksheets, and each particular topic, can fairly easily be tailored to the content of a particular class. (Consists of finding an aspect of the problem and boiling it down.)
Teaching them the pattern - you learn an abstract concept, you're confronted with a problem, you apply your new concept (together with everything you know up to this point)
Teach them the name of the game in engineering - be ready to use everything you know for creative, outside-the-box problem-solving
The greater your diversity of tools, the more prepared you are to come up with ideas (increase raw material)
Engineering design process and engineering design thinking should be weaved into each worksheet.
Calculus II
Worksheets/Archimdes Dont Disturb My Circles
- area, volume, surface area
- sphere and cylinder shapes
- geometric thinking
- numerical integration
- approximating the area under a curve
- spreadsheet formulas
Worksheets/Civil Engineering Road Planning
- Civil engineering application of Simpson's Rule
- Building a highway going through a town
- Cross-sectional design of highway - arc length, volume, centroids
Worksheets/Eulers Method Circuits
- electrical circuit
- Solving a differential equation
- Different right-hand sides, different time steps
Calc III
Worksheet/Infinite Series Convergence
- convergence of an infinite series
- implementation of calculations of a series in a for loop
- introductory programming topic: for loops
Topics
Ideas for topics for worksheets:
Worksheets/Poynting Vector and Electromagnetics
Rockets
Motors, motor currents, motor control
insect populations - logistic equation, chemical treatment, population dynamics equations
insect motion and dynamics, work, force, energy - insect drones, batteries
droplets, slow motion, aerosols, force balances
piston cylinder systems, integrating ideal gas law
solid mechanics, rotational forces, warped CD drive, slow motion
arc length calculation
root-finding using midpoint method
studying convergence of series sum_{1}^{infty} 1/n^2 = pi^2/6
Insect drones: mass, power, force, work, distance, batteries
Feedback and control systems (1D control problems?)
Rocket propellant, P dV, casing and curing and consistency and chemistry
Apple power supply teardowns, plus high voltage, power transmission, etc.
Power/electricity