Integral calculus:

• Cardiac flow (integral word problem)
• The hunter and his dog (infinite series)
• Power series and differential equations

Linear algebra:

• Alignment of a solar panel (dot and cross products)
• Intuitive ideas of dimension

Multivariable calculus:

• The Little Prince and the pendulum (multivariable chain rule)

Larger projects and activities:

• A "feet-on" activity for visualizing gradients and directional derivatives in the Stanford hills
• A group project on modeling chemotherapy dosage