Mathematics, Tourism, FH Graubünden, Thomas Borer, 2024/25

Exercises

Basics

Exercises 1 (with/without answers)
Number sets: N, Z, Q, R, set operations

Functions and equations

Exercises 2 (with/without answers)
Function: Domain, codomain, range, graph
Exercises 3 (with/without answers)
Linear function and equations: Linear function, simple interest, costs, revenue, profit, break-even
Exercises 4 (with/without answers)
Linear function and equations: Linear equations
Exercises 5 (with/without answers)
Linear function and equations: Linear systems of equations
Exercises 6 (with/without answers)
Quadratic function and equations: Quadratic function
Exercises 7 (with/without answers)
Quadratic function and equations: Quadratic function/equations, supply, demand, market equilibrium
Exercises 8 (with/without answers)
Exponential function and equations: Compound interest, exponential function
Exercises 9 (with/without answers)
Exponential function and equations: Exponential equations, logarithm, compound interest
Exercises 10 (with/without answers)
Exponential function and equations: Ordinary annuity, annuity due

Differential calculus

Exercises 11 (with/without answers)
Derivative: Derivative (rate of change), derivative (derived function) of constant/power/exponential functions
Exercises 12 (with/without answers)
Differentiation rules: Coefficient, sum, product, exponential functions, higher-order derivatives
Exercises 13 (with/without answers)
Applications: Local/Global maxima/minima, points of inflection

Integral calculus

Exercises 14 (with/without answers)
Indefinite integral: Antiderivative, indefinite integral, coefficient/sum rule
Exercises 15 (with/without answers)
Definite integral: Definite integral, area under a curve, consumer's/producer's surplus

  Review exercises 0
Algebra
Review exercises 1 (with/without answers)
Functions and equations
Review exercises 2 (with/without answers)
Differential calculus, integral calculus

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