Instructional priorities
- Work by variable force
- Hooke’s law
- Pumping fluids
- Hydrostatic force
- Moments and centers of mass
- Probability density
- Expected value
- Dimensional analysis
Faculty planning and evidence
Physical, Engineering & Probability Applications
How does integration combine distributed force, mass, pressure, probability, and expectation into measurable system quantities?
Evidence expectations
Require method selection, exact notation, conditions, units, interpretation, and an independent verification. Score the reasoning chain, not only the final value.
Common interventions
Use retrieval diagnostics, smaller algebraic cases, multiple representations, worked-example fading, error comparison, and oral explanation before assigning more repetition.
Assessment sequence
Formative checks → pathway set → investigation → mastery check → correction → reassessment. Preserve both first-attempt and corrected evidence.