Mathematics, Tourism, HTW Chur, Thomas Borer, 2016/17

Schedule

Autumn semester 2016
4 contact lessons per week (56 contact lessons within 14 weeks)
Tuesday, 8:15-9:50, H 1.15
Thursday, 15:15-16:50, H 1.15

Week
Contents

38

19.9.2016
- 23.9.2016

1

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

39

26.9.2016
- 30.9.2016

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

3.10.2016
- 7.10.2016

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

10.10.2016
- 14.10.2016

4

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

 

43

24.10.2016
- 28.10.2016

5

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

44

31.10.2016
- 4.11.2016

6

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

45

7.11.2016
- 11.11.2016

7

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

46

14.11.2016
- 18.11.2016

8

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

47

21.11.2016
- 25.11.2016

9

Differential calculus
Derivative: rate of change, derivative, derivative of constant/power/exponential functions,
cost/revenue/profit - marginal cost/revenue/profits

48

28.11.2016
- 2.12.2016

10

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

49

5.12.2016
- 9.12.2016

11

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

50

12.12.2016
- 16.12.2016

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

19.12.2016
- 23.12.2016

13

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

 

2

9.1.2017
- 13.1.2017

14

Review

 

 

 

 

Exam: We 25.1.2017

Home

3.7.2017 tb