Mathematics, Tourism, FH Graubünden, Thomas Borer, 2020/21

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 Quadratic function and equations: Quadratic function Exercises 8 Quadratic function and equations: Quadratic function/equations, supply, demand, market equilibrium 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, exponential functions, 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

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