## Exercises

#### Basics

Exercises 1
Sets: Set, element, empty set, subset, intersection, union, complement
Exercises 2
Numbers: Number sets, intervals, absolute value

#### Functions and equations

Exercises 3
Function: Domain, codomain, range, graph
Exercises 4
Linear function and equations: Linear function, simple interest, costs, revenue, profit, break-even
Exercises 5
Linear function and equations: Linear equations
Exercises 6
Linear function and equations: Linear systems of equations
Exercises 7
Exercises 8
Exercises 9
Exponential function and equations: Compound interest, exponential function
Exercises 10
Exponential function and equations: Exponential equations, logarithm, compound interest
Exercises 11
Exponential function and equations: Compound interest, nominal/effective annual interest rate
Exercises 12
Exponential function and equations: Ordinary annuity, annuity due

#### Differential calculus

Exercises 13
Derivative: Derivative (rate of change), derivative (derived function) of constant/power/
exponential functions
Exercises 14
Differentiation rules: Coefficient/sum/product rule, higher-order derivatives
Exercises 15
Applications: Relative maxima/minima, points of inflection

#### Integral calculus

Exercises 16
Indefinite integral: Antiderivative, indefinite integral, coefficient/sum rule
Exercises 17
Definite integral: Definite integral, area under a curve, consumer's/producer's surplus

Review exercises 0
Algebra
Review exercises 1
Functions and equations
Review exercises 2
Differential calculus, integral calculus

27.11.2020 tb