Mathematics, Tourism, FH Graubünden, Thomas Borer, 2025/26

Schedule

Autumn semester 2025
4 contact lessons per week (48 contact lessons within 12 weeks)
Monday, 9:15-10:45, H1.15
Wednesday, 13:30-15:00, H2.11

Week
Contents

38

15.9.2025
- 19.9.2025

1

Basics
Number sets: N, Z, Q, R, set, element, empty set, subset, intersection, union, set difference
Review Algebra

39

22.9.2025
- 26.9.2025

2

Functions and equations
Function: domain, codomain, range, arrow diagram, table of values, equation, graph
Linear function and equations: linear function, simple interest, cost, revenue, profit, break-even
Bonus Test 0 - Prior Knowledge
Wednesday, 24.9.2025

40

29.9.2025
- 3.10.2025

3

Functions and equations
Linear function and equations: linear equations, equivalence operations, relation linear function - linear equation, linear systems of equations
Bonus Test 1 - Number sets, function, linear function
Wednesday, 1.10.2025

41

6.10.2025
- 10.10.2025

4

Functions and equations
Quadratic function and equations: quadratic function, general form, vertex form, completing the square, supply, demand

 

43

20.10.2025
- 24.10.2025

5

Functions and equations
Quadratic function and equations: quadratic equations, relation quadratic function - quadratic equation, market equilibrium

44

27.10.2025
- 31.10.2025

 

Functions and equations
Exponential function and equations: Exponential function, compound interest
Bonus Test 2 - Lin. equations, lin. systems of equations, quadr. function, quadr. equations
Wednesday, 29.10.2025

45

3.11.2025
- 7.11.2025

6

Block week: no lessons

46

10.11.2025
- 14.11.2025

7

Functions and equations
Exponential function and equations: Exponential equations, logarithm, compound interest, annuity

47

17.11.2025
- 21.11.2025

8

Differential calculus
Derivative: Derivative (rate of change), derivative (derived function), derivative of a constant/power/
exponential function
Bonus Test 3 - Exponential function, exponential equations, logarithm
Wednesday, 19.11.2025

48

24.11.2025
- 28.11.2025

9

Differential calculus
Differentiation rules: coefficient/sum/product rule, higher-order derivatives

49

1.12.2025
- 5.12.2025

10

Differential calculus
Applications: increasing/decreasing, concavity, local/global maxima/minima, points of inflection, marginal cost/revenue/profit, average cost/revenue/profit

50

8.12.2025
- 12.12.2025

11

Integral calculus
Indefinite integral: antiderivative, indefinite integral of a constant/power/exponential function, coefficient/sum rule, marginal cost/revenue/profit - total cost/revenue/profit
Bonus Test 4 - Differential calculus
Wednesday, 10.12.2025

51

15.12.2025
- 19.12.2025

12

Integral calculus
Definite integral: area under a curve, fundamental theorem of calculus, consumer's/producer's surplus

 

 

 

 

Exam

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12.8.2025