Economia e gestione delle imprese (Ακαδημαϊκό έτος 2020/2021) - Economia e Governo d'Impresa

Mathematics

ν. μαθήματος 1: Introduction to Real Numbers Set theory Numerical sets The real numbers The cartesian plane		Sergio Scarlatti
ν. μαθήματος 2: Introduction to Functions Corrispondences Functions Numerical functions Linear functions		Sergio Scarlatti
ν. μαθήματος 3: Linear and quadratic inequalities Quadratic functions Sign of a function Linear and quadratic inequalitites Even and odd functions		Sergio Scarlatti
ν. μαθήματος 4: Classes of functions Polynomials Rational functions Trigonometric functions Exponential functions The algebra of functions		Sergio Scarlatti
ν. μαθήματος 5: Composition of functions and inverse functions Composition of functions Monotone functions The inverse function with examples The logarithmic function		Sergio Scarlatti
ν. μαθήματος 6: A special class of functions: Sequences Sequences The limit of a sequence Examples Finite sums Geometric progressions		Sergio Scarlatti
ν. μαθήματος 7: Limits of functions The limit operation A variety of examples Limit basic properties		Sergio Scarlatti
ν. μαθήματος 8: An introduction to continuous functions Continuous functions Examples Special limits		Sergio Scarlatti
ν. μαθήματος 9: Theorems on continuous functions Minima and maxima Theorems on continuous functions		Sergio Scarlatti
ν. μαθήματος 10: Derivatives of functions Derivative of a function Examples of derivatives Rules for derivatives		Sergio Scarlatti
ν. μαθήματος 11: Theorems on derivable functions Higher order derivatives Stationary points Theorems on derivable functions		Sergio Scarlatti
ν. μαθήματος 12: Stationary points analysis, convexity and concavity Study of the sign of the first derivative Convexity and concavity Second derivative test
ν. μαθήματος 13: The art of graphing a function Graphing a function:standard step Graphing a rational function Graphing a function involving logarithms Graphing a function involving exponentials		Sergio Scarlatti
ν. μαθήματος 14: The indefinite integral The indefinite integral Substitution rule Integration by parts rule Continuous functions and anti-derivatives		Sergio Scarlatti
ν. μαθήματος 15: The definite integral Riemann sums The definite integral The fundamental theorem of calculus		Sergio Scarlatti
ν. μαθήματος 16: Computing definite integrals Evaluation by substitution Evaluation by integration by parts Further examples		Sergio Scarlatti
ν. μαθήματος 17: A short introduction to matrices Matrices and vectors Operations on matrices Square matrices and inverse matrices The determinant of a square matrix		Sergio Scarlatti
ν. μαθήματος 18: Linear systems Square linear systems The rank of a matrix and general linear systems		Sergio Scarlatti
ν. μαθήματος 19: Functions of several variables Functions of more than one variable Partial derivatives Differentiability and tangent plane		Sergio Scarlatti
ν. μαθήματος 20: Minima and maxima of functions of two variables Higher order partial derivatives Stationary points Minima, maxima ,saddle points Simple constrained problems		Sergio Scarlatti

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Economia e gestione delle imprese (Ακαδημαϊκό έτος 2020/2021) - Economia e Governo d'Impresa

Mathematics

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