Mathematics, Tourism, FH Graubünden, Thomas Borer, 2019/20

Schedule

Autumn semester 2019
4 contact lessons per week (56 contact lessons within 14 weeks)
Monday, 8:15-9:50, H 1.16
Wednesday, 13:15-14:50, H 1.16

Week
Contents

38

16.9.2019
- 20.9.2019

1

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

39

23.9.2019
- 27.9.2019

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

30.9.2019
- 4.10.2019

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

7.10.2019
- 11.10.2019

4

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

 

43

21.10.2019
- 25.10.2019

5

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

44

28.10.2019
- 1.11.2019

6

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

45

4.11.2019
- 8.11.2019

7

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

46

11.11.2019
- 15.11.2019

8

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

47

18.11.2019
- 22.11.2019

9

Differential calculus
Derivative: Derivative (rate of change), derivative (derived function), derivative of constant/power/
exponential functions, cost/revenue/profit - marginal cost/revenue/profit

48

25.11.2019
- 29.11.2019

10

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

49

2.12.2019
- 6.12.2019

11

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

50

9.12.2019
- 13.12.2019

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

16.12.2019
- 20.12.2019

13

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

 

2

6.1.2020
- 10.1.2020

14

Review

 

 

 

 

Exam: We 22.1.2020

Home

4.11.2019 tb