European Baccalaureate Mathematics (5-period course) case studies
European Baccalaureate Mathematics (5-period course) · Put your knowledge to work in context.
The European Baccalaureate Mathematics 5-period course is the standard mathematics component taken by students in the European Schools system who follow the five-period-per-week option rather than the heavier 3-, 6- or 8-period variants. It is intended for pupils who need solid mathematical competence for university entry in fields such as economics, business, social sciences, biology or applied computing, rather than for those heading into engineering or pure mathematics. The European Baccalaureate Mathematics (5-period course) case studies are 5 cases and about 2,262 words.
1The dietitian's dependent nutrient system
A hospital dietitian is designing a daily supplement mix from three products, A, B and C. Per 100 g, A supplies 10 g protein, 8 g fat and 30 g carbohydrate; B supplies 20 g protein, 16 g fat and 60 g carbohydrate; C supplies 12 g protein, 6 g fat and 40 g carbohydrate.
444 words, about 2 min2Peak drug concentration and the dosing window
A pharmacology class is modelling the plasma concentration of a drug after an oral dose. For t hours after the dose, t = 0, the model is C(t) = 20t/(t^2 + 4) mg/L.
460 words, about 2 min3The can that cannot be made small enough
A beverage company wants a cylindrical can with volume 500 cm^3. The side material costs €0.02 per cm^2 and the top and bottom material costs €0.05 per cm^2.
394 words, about 2 min4Two drone paths that only cross on the screen
An air-traffic controller is tracking two drones. Drone A has position vector A(t) = (2 + t, 1 + t, 5) km at time t seconds, t = 0.
473 words, about 2 min5The screening test headline
A regional health survey estimates that 2% of adults have a particular condition. A screening test has sensitivity 95%, meaning it is positive for 95% of people who have the condition, and specificity 90%, meaning it is negative for 90% of people who do not have the condition.
491 words, about 2 min