Worksheets
From charlesreid1
Notes
Each of these worksheets could be tailored to a particular class.
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 - it's not how closely you follow the rules, it's the creativity and and outside-the-box thinking you bring to the problem
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 to centroids
- 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
Topics
Ideas for topics for worksheets:
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.