Mathematics, Tourism, FH Graubünden, Thomas Borer, 2020/21

Schedule

Autumn semester 2020
4 contact lessons per week (56 contact lessons within 14 weeks)
Monday, 13:15-14:50, H 1.16
Tuesday, 10:15-11:50, H 1.16

Week
Contents

38

14.9.2020
- 18.9.2020

1

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

39

21.9.2020
- 25.9.2020

2

Functions and equations
Function: domain, codomain, range, arrow diagram, table of values, formula, graph
Linear function and equations: linear function, simple interest, cost, revenue, profit, break-even

40

28.9.2020
- 2.10.2020

3

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

41

5.10.2020
- 9.10.2020

4

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

 

43

19.10.2020
- 23.10.2020

5

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

44

26.10.2020
- 30.10.2020

6

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

45

2.11.2020
- 6.11.2020

7

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

46

9.11.2020
- 13.11.2020

8

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

47

16.11.2020
- 20.11.2020

9

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

48

23.11.2020
- 27.11.2020

10

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

49

30.11.2020
- 4.12.2020

11

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

50

7.12.2020
- 11.12.2020

12

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

51

14.12.2020
- 18.12.2020

13

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

 

2

11.1.2021
- 15.1.2021

14

Exercises

 

 

 

 

Exam: Mo 25.1.2021

Home

28.4.2021 tb