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