Autumn semester 2022
4 contact lessons per week (56 contact lessons within 14 weeks)
Monday, 13:15-14:50, H 1.17
Wednesday, 13:15-14:50, H 1.17
Week |
Contents | ||
38 |
19.9.2022 |
1 |
Basics Sets: set, element, empty set, subset, intersection, union, complement Numbers: number sets N, Z, Q, R, intervals, absolute value |
39 |
26.9.2022 |
2 |
Functions and equations Function: domain, codomain, range, arrow diagram, table of values, equation, graph Linear function and equations: linear function, simple interest, cost, revenue, profit, break-even |
40 |
3.10.2022 |
3 |
Functions and equations Linear function and equations: linear equations, equivalence operations, relation linear function - linear equation, linear systems of equations |
41 |
10.10.2022 |
4 |
Functions and equations Quadratic function and equations: quadratic function, general form, vertex form, completing the square, supply, demand |
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43 |
24.10.2022 |
5 |
Functions and equations Quadratic function and equations: quadratic equations, relation quadratic function - quadratic equation, market equilibrium |
44 |
31.10.2022 |
6 |
Functions and equations Exponential function and equations: exponential function, compound interest |
45 |
7.11.2022 |
7 |
Functions and equations Exponential function and equations: exponential equations, logarithm, compound interest during the year |
46 |
14.11.2022 |
8 |
Functions and equations Exponential function and equations: annuity |
47 |
21.11.2022 |
9 |
Differential calculus Derivative: Derivative (rate of change), derivative (derived function), derivative of a constant/power/ exponential function |
48 |
28.11.2022 |
10 |
Differential calculus Differentiation rules: coefficient/sum/product rule, higher-order derivatives |
49 |
5.12.2022 |
11 |
Differential calculus Applications: increasing/decreasing, concavity, local/global maxima/minima, points of inflection, marginal cost/revenue/profit, average cost/revenue/profit |
50 |
12.12.2022 |
12 |
Integral calculus Indefinite integral: antiderivative, indefinite integral of a constant/power/exponential function, coefficient/sum rule, marginal cost/revenue/profit - total cost/revenue/profit |
51 |
19.12.2022 |
13 |
Integral calculus Definite integral: area under a curve, fundamental theorem of calculus, consumer's/producer's surplus |
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2 |
9.1.2023 |
14 |
Exercises |
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Exam: Tu 24.1.2023 |