4 ECTS credits
56 contact lessons
Basics 
4 

Sets 
2 

Set, element, empty set, subset, intersection, union, complement  
Numbers 
2 

Number sets N, Z, Q, R Intervals Absolute value 

Algebra (review/self study)  0 

Functions and equations 
28 

Function 
2 

Domain, codomain, range Arrow diagram, table of values, formula, graph 

Linear function and equations 
6 

Linear function Linear equations Equivalence operations Relation between a linear function and a linear equation Linear systems of equations Financial mathematics: Simple interest, costs, revenue, profit, breakeven 

Quadratic function and equations 
8 

Quadratic function 

Exponential function and equations 
12 

Exponential function Exponential equations Logarithm Financial mathematics: Compound interest, annuity 

Differential calculus 
12 

Derivative  4 

Rate of change Derivative Derivative of constant/power/exponential functions Financial mathematics: Profit  marginal profit 

Differentiation rules  4 

Coefficient/sum/product rule Chain rule Higherorder derivatives 

Applications  4 

Increasing/decreasing,
concavity Relative/absolute maxima/minima, points of inflection Financial mathematics: Marginal/average cost/revenue/profit Financial mathematics: Point of diminishing returns 

Integral calculus 
8 

Indefinite integral  4 

Antiderivative Indefinite integral of constant/power/exponential functions 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 

Review 
4 