Autumn semester 2018
4 contact lessons per week (56 contact lessons within 14 weeks)
Wednesday, 10:15-11:50, H 1.16
Thursday, 13:15-14:50, H 1.16
Week |
Contents | ||
38 |
17.9.2018 |
1 |
Basics Sets: set, element, empty set, subset, intersection, union, complement Numbers: number sets N, Z, Q, R, intervals, absolute value |
39 |
24.9.2018 |
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 |
1.10.2018 |
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 |
8.10.2018 |
4 |
Functions and equations Quadratic function and equations: quadratic function, general form, vertex form, completing the square, supply, demand |
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43 |
22.10.2018 |
5 |
Functions and equations Quadratic function and equations: quadratic equations, relation between a quadratic function and a quadratic equation, market equilibrium |
44 |
29.10.2018 |
6 |
Functions and equations Exponential function and equations: exponential function, compound interest |
45 |
5.11.2018 |
7 |
Functions and equations Exponential function and equations: exponential equations, logarithm, compound interest |
46 |
12.11.2018 |
8 |
Functions and equations Exponential function and equations: compound interest, annuity |
47 |
19.11.2018 |
9 |
Differential calculus Derivative: rate of change, derivative, derivative of constant/power/exponential functions, cost/revenue/profit - marginal cost/revenue/profit |
48 |
26.11.2018 |
10 |
Differential calculus Differentiation rules: coefficient/sum/product rule, higher-order derivatives |
49 |
3.12.2018 |
11 |
Differential calculus Applications: increasing/decreasing, concavity, relative/absolute maxima/minima, points of inflection, marginal/average cost/revenue/profit, point of diminishing returns |
50 |
10.12.2018 |
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 |
17.12.2018 |
13 |
Integral calculus Definite integral: area under a curve, fundamental theorem of calculus, consumer's/producer's surplus |
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2 |
7.1.2019 |
14 |
Review |
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Exam: We 23.1.2019 |