# MOOC Massive Open Online Courses (Anno Accademico 2019/2020)

## Slides

 Differential and Integral Calculus    Limit    Squaring of the parabola Sets and relations    The set R    Algebraic and order properties    Inequalities    Neighborhood    Cartesian product The Function as a Concept    Characteristics of f    Domain and range of a function The Function    Even Function    Odd Function    Monotonically increasing    Periodic Function    New Equation Power function    Exponential function    Trigonometric functions    Trigonometric identities    Hyperbolic identities Composite functions in engineering    Method of constructing fog Steps to obtain f    Logarithmic Function    Solving the equation    Theorem Limit of a sequence    Limit of a Function    One?sided limit Basic theorems    Squeeze Theorem Definition of Continuity    Continuity Theorems    Continuity on an Interval    The Extreme Value Theorem Definition of the Derivative    Differentiability on an Interval    Differentiation Laws    Derivatives of Basic Functions Derivative of the Inverse Function    Derivative of the Composite Function    Derivative of Implicit and parametric Functions    Repeated Differentiation Mean Value Theorem and Taylor Formula    Approximations Indeterminate quantities    Cauchy mean value theorem    L?Hospital Rule    Convexity, Concavity and Extrema    Convexity and Concavity Definition of a Local Extrema    1th test of Local Extrema    2nd test of Local Extrema    Definition of the Absolute Extrema Mechanical techniques for drawing graphs    Graphical Properties Notion of the Indefinite integral    Remarks about the Antiderivative    Properties of the indefinite integral Theorem    By Completing the Square Theorem    Reduction Formula The equivalence of trigonometric and hyperbolic integrals    Rules for even and odd powers    When do the rules fail Types of substitutions    By using a reduction formula    A second method Partial fractions representation    Some Integrals The Definite Integral as a Limit to Riemann Sum    Riemann Sum    Theorem Properties of integrable functions    Useful theorems on parity    Integral Mean value theorem The fundamental theorem    Improper integrals    Applications to the Integral    Calculating Areas    Solid of Revolution    Length of Curves    Surface Areas of Revolution

### Sede centrale

Corso Vittorio Emanuele II, 39
00186 Roma - ITALIA
C.F.: 97394340588
P.IVA: 13937651001

### Posta certificata

info@pec.uninettunouniversity.net

### Segreteria Studenti

Numero verde: 800 333 647
tel: +39 06 692076.70 (1)
e-mail: info@uninettunouniversity.net

### Videoconferenza

Biblioteca 1^ piano: 90.147.90.157
Sala Riunioni 5^ piano: 90.147.90.158

### Hai bisogno di maggiori informazioni?

Lasciaci i tuoi dati