Mathematics, Tourism, FH Graubünden, Thomas Borer, 2021/22

Schedule

Autumn semester 2021
4 contact lessons per week (56 contact lessons within 14 weeks)
Monday, 10:15-11:50, H 2.12
Thursday, 10:15-11:50, H 1.16

Week
Contents

38

20.9.2021
- 24.9.2021

1

Basics
Sets: set, element, empty set, subset, intersection, union, complement
Numbers: number sets N, Z, Q, R, intervals, absolute value

39

27.9.2021
- 1.10.2021

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

40

4.10.2021
- 8.10.2021

3

Functions and equations
Linear function and equations: linear equations, equivalence operations, relation linear function - linear equation, linear systems of equations

41

11.10.2021
- 15.10.2021

4

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

 

43

25.10.2021
- 29.10.2021

5

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

44

1.11.2021
- 5.11.2021

6

Functions and equations
Exponential function and equations: exponential function, compound interest

45

8.11.2021
- 12.11.2021

7

Functions and equations
Exponential function and equations: exponential equations, logarithm, compound interest during the year

46

15.11.2021
- 19.11.2021

8

Functions and equations
Exponential function and equations: annuity

47

22.11.2021
- 26.11.2021

9

Differential calculus
Derivative: Derivative (rate of change), derivative (derived function), derivative of a constant/power/
exponential function

48

29.11.2021
- 3.12.2021

10

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

49

6.12.2021
- 10.12.2021

11

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

50

13.12.2021
- 17.12.2021

12

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

51

20.12.2021
- 24.12.2021

13

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

 

2

10.1.2022
- 14.1.2022

14

Exercises

 

 

 

 

Exam: Fr 28.1.2022

Home

6.12.2021 tb