Mathematics, Tourism, FH Graubünden, Thomas Borer, 2024/25

Schedule

Autumn semester 2024
4 contact lessons per week (48 contact lessons within 12 weeks)
Monday, 9:15-10:45, H 2.11
Wednesday, 9:15-10:45, H 2.11

Week
Contents

38

16.9.2024
- 20.9.2024

1

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

39

23.9.2024
- 27.9.2024

2

Bonus Test 0 (Prior Knowledge): We 25.9.2024
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

40

30.9.2024
- 4.10.2024

3

Functions and equations
Linear function and equations: linear equations, equivalence operations, relation linear function - linear equation, linear systems of equations
Bonus Test 1: We 2.10.2024

41

7.10.2024
- 11.10.2024

4

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

 

43

21.10.2024
- 25.10.2024

5

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

44

28.10.2024
- 1.11.2024

 

Block week: no lessons

45

4.11.2024
- 8.11.2024

6

Functions and equations
Exponential function and equations: Exponential function, compound interest
Bonus Test 2: We 6.11.2024

46

11.11.2024
- 15.11.2024

7

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

47

18.11.2024
- 22.11.2024

8

Differential calculus
Derivative: Derivative (rate of change), derivative (derived function), derivative of a constant/power/
exponential function
Bonus Test 3: We 20.11.2024

48

25.11.2024
- 29.11.2024

9

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

49

2.12.2024
- 6.12.2024

10

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

50

9.12.2024
- 13.12.2024

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: We 11.12.2024

51

16.12.2024
- 20.12.2024

12

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

 

 

 

 

Exam: We 22.1.2025

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12.11.2024 tb