4 ECTS credits
56 contact lessons
Basics |
4 |
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| Sets |
2 |
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| Set, element, empty set, subset, intersection, union, complement | ||
| Numbers |
2 |
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| Number sets N, Z, Q, R Intervals Absolute value |
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| Algebra (review/self study) | 0 |
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Functions and equations |
28 |
|
| Function |
2 |
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| Domain, codomain, range Arrow diagram, table of values, formula, graph |
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| Linear function and equations |
6 |
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| Linear function Linear equations Equivalence operations Relation between a linear function and a linear equation Linear systems of equations Financial mathematics: Simple interest, cost, revenue, profit, break-even |
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| Quadratic function and equations |
8 |
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Quadratic function |
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| Exponential function and equations |
12 |
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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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| Rate of change Derivative Derivative of constant/power/exponential functions Financial mathematics: Cost/Revenue/Profit - marginal cost/revenue/profit |
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| Differentiation rules | 4 |
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| Coefficient/sum/product rule Chain rule Higher-order derivatives |
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| Applications | 4 |
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| Increasing/decreasing,
concavity Relative/absolute maxima/minima, points of inflection Financial mathematics: Marginal/average cost/revenue/profit Financial mathematics: Point of diminishing returns |
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Integral calculus |
8 |
|
| Indefinite integral | 4 |
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| Antiderivative Indefinite integral of constant/power/exponential functions 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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Review |
4 |
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