Autumn semester 2019
4 contact lessons per week (56 contact lessons within 14 weeks)
Monday, 8:159:50, H 1.16
Wednesday, 13:1514:50, H 1.16
Week 
Contents  
38 
16.9.2019 
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 
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, breakeven 
40 
30.9.2019 
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 
4 
Functions and equations Quadratic function and equations: quadratic function, general form, vertex form, completing the square, supply, demand 


43 
21.10.2019 
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 
6 
Functions and equations Exponential function and equations: exponential function, compound interest 
45 
4.11.2019 
7 
Functions and equations Exponential function and equations: exponential equations, logarithm, compound interest 
46 
11.11.2019 
8 
Functions and equations Exponential function and equations: compound interest, annuity 
47 
18.11.2019 
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 
10 
Differential calculus Differentiation rules: coefficient/sum/product rule, higherorder derivatives 
49 
2.12.2019 
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 
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 
13 
Integral calculus Definite integral: area under a curve, fundamental theorem of calculus, consumer's/producer's surplus 


2 
6.1.2020 
14 
Review 





Exam: We 22.1.2020 