4 ECTS credits
48 contact lessons
Basics |
2 |
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| Number sets |
2 |
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| N, Z, Q, R Set, element, empty set, subset, intersection, union, set difference |
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Functions and equations |
24 |
|
| Function |
2 |
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| Domain, codomain, range Arrow diagram, table of values, equation, graph |
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| Linear function and equations |
6 |
|
| Linear function Linear equations Equivalence operations Relation Linear function - Linear equation Linear systems of equations Financial mathematics: Simple interest, cost, revenue, profit, break-even |
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| Quadratic function and equations |
8 |
|
Quadratic function |
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| Exponential function and equations |
8 |
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| Exponential function Exponential equations Logarithm Financial mathematics: Compound interest, annuity |
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Differential calculus |
12 |
|
| Derivative | 4 |
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| Derivative (rate of change) Derivative (derived function) Derivative of a constant/power/exponential function |
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| Differentiation rules | 4 |
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| Coefficient/sum/product rule
Higher-order derivatives |
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| Applications | 4 |
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| Increasing/decreasing,
concavity Local/global maxima/minima, points of inflection Financial mathematics: Marginal cost/revenue/profit Financial mathematics: Average cost/revenue/profit |
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Integral calculus |
8 |
|
| Indefinite integral | 4 |
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| Antiderivative Indefinite integral of a constant/power/exponential function Coefficient/sum rule Financial mathematics: Marginal cost/revenue/profit - Total cost/revenue/profit |
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| Definite integral | 4 |
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| Area under a curve Fundamental theorem of calculus Financial mathematics: Consumer's/producer's surplus |
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(...) |
2 |
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