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Economics and business administration (Academic Year 2020/2021) - Culture, Tourism and Corporate Value

Mathematics



Video professors: Sergio Scarlatti - Università di Tor Vergata (Roma - Italy)

Videolesson

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