Mathematics, Tourism, FH Graubünden, Thomas Borer, 2021/22

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: Local/Global 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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