Mathematics, Tourism, HTW Chur, Thomas Borer, 2015/16

Schedule

Autumn semester 2015
4 contact lessons per week (56 contact lessons within 14 weeks)
Tuesday, 8:15-9:50, H 1.15
Thursday, 13:15-14:50, H 1.15

Week
Contents

38

14.9.2015
- 18.9.2015

1

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

39

21.9.2015
- 25.9.2015

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

28.9.2015
- 2.10.2015

3

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

41

5.10.2015
- 9.10.2015

4

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

 

43

19.10.2015
- 23.10.2015

5

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

44

26.10.2015
- 30.10.2015

6

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

45

2.11.2015
- 6.11.2015

7

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

46

9.11.2015
- 13.11.2015

8

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

47

16.11.2015
- 20.11.2015

9

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

48

23.11.2015
- 27.11.2015

10

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

49

30.11.2015
- 4.12.2015

11

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

50

7.12.2015
- 11.12.2015

12

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

51

14.12.2015
- 18.12.2015

13

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

 

2

11.1.2016
- 15.1.2016

14

Review

 

 

 

 

Exam: We 27.1.2016

Home

29.8.2016 tb