Mathematics, Tourism, HTW Chur, Thomas Borer, 2014/15

Schedule

Autumn semester 2014
4 contact lessons per week (56 contact lessons within 14 weeks)
Wednesday, 15:15-16:50, H 1.01
Friday, 13:15-14:50, H 1.01

Week
Contents

38

15.9.2014
- 19.9.2014

1

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

39

22.9.2014
- 26.9.2014

2

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

40

29.9.2014
- 3.10.2014

3

Functions and equations
Linear function and equations: linear equations, equivalence operations, ..., linear systems of equations

41

6.10.2014
- 10.10.2014

4

Functions and equations
Quadratic function and equations: quadratic function, ..., completing the square, supply, demand

 

43

20.10.2014
- 24.10.2014

5

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

44

27.10.2014
- 31.10.2014

6

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

45

3.11.2014
- 7.11.2014

7

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

46

10.11.2014
- 14.11.2014

8

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

47

17.11.2014
- 21.11.2014

9

Differential calculus
Derivative: rate of change, derivative, derivative of constant/power/... functions, cost - marginal cost

48

24.11.2014
- 28.11.2014

10

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

49

1.12.2014
- 5.12.2014

11

Differential calculus
Applications: increasing/decreasing, concavity, relative/absolute ..., point of diminishing returns

50

8.12.2014
- 12.12.2014

12

Integral calculus
Indefinite integral: antiderivative, indefinite ..., marginal cost/revenue/profit - total cost/revenue/profit

51

15.12.2014
- 19.12.2014

13

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

 

2

5.1.2015
- 9.1.2015

14

Review

 

 

 

 

Exam: Mo 26.1.2015

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29.8.2016 tb