Mathematics, Tourism, FH Graubünden, Thomas Borer, 2023/24

Schedule

Autumn semester 2023
4 contact lessons per week (48 contact lessons within 12 weeks)
Monday, 10:15-11:50, H 2.13
Tuesday, 10:15-11:50, H 2.13

Week
Contents

38

18.9.2023
- 22.9.2023

1

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

39

25.9.2023
- 29.9.2023

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

2.10.2023
- 6.10.2023

3

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

41

9.10.2023
- 13.10.2023

4

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

 

43

23.10.2023
- 27.10.2023

5

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

44

30.10.2023
- 3.11.2023

 

Block week: no lessons

45

6.11.2023
- 10.11.2023

6

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

46

13.11.2023
- 17.11.2023

7

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

47

20.11.2023
- 24.11.2023

8

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

48

27.11.2023
- 1.12.2023

9

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

49

4.12.2023
- 8.12.2023

10

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

50

11.12.2023
- 15.12.2023

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

51

18.12.2023
- 22.12.2023

12

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

 

 

 

 

Exam: Tu 30.1.2024

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9.11.2023 tb