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(objectives)
The objective of this course is to give students an understanding of basic calculus as well as to enable them to approach problems from a mathematical perspective.
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Code
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20410233 |
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Language
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ITA |
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Type of certificate
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Profit certificate
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Credits
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6
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Scientific Disciplinary Sector Code
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MAT/05
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Contact Hours
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40
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Exercise Hours
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10
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Type of Activity
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Basic compulsory activities
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Teacher
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SCOPPOLA ELISABETTA
(syllabus)
Numbers (naturali, integers, rationals, reals). Functions, their graphs. Injective, monotone, periodic functions. Composition and inversion of functions. Interpretation of the graph of a function. Elementary functions. Sequences and limits. Examples. Operations on limits, sum product and composition. Orders of magnitude. Some notable limits. Continuous functions. Differentiable functions. Geometric interpretation of the derivative. Derivative of elementary functions. Derivative of the product, sum, composition of functions. Second derivatives. Maxima and minima. Rolle and Lagrange theorems. Monotone functions. Theorem de l'Hopital. Taylor formula. Primitives and basic properties. Integration by parts and substitution. Rational functions. Riemann integrability. Differential equations. Vector spaces.
(reference books)
Marcellini-Sbordone Elementi di Matematica, Esercitazioni di Analisi Matematica
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Dates of beginning and end of teaching activities
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From to |
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Delivery mode
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Traditional
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Attendance
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not mandatory
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Teacher
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PROCESI MICHELA
(syllabus)
Numbers (natural, integers, rationals, reals). Functions, their graphs. Injective, monotone, periodic functions. Composition and inversion of functions. Interpretation of the graph of a function. Elementary functions. Sequences and limits. Examples. Operations on limits, sum product and composition. Orders of magnitude. Some notable limits. Continuous functions. Differentiable functions. Geometric interpretation of the derivative. Derivative of elementary functions. Derivative of the product, sum, composition of functions. Second derivatives. Maxima and minima. Rolle and lagrange theorems. Monotone functions. Theorem de l'Hopital. Taylor formula. Primitives and basic properties. Integration by parts and substitution. Rational functions. Riemann integrability. Differential equations. Vector spaces.
(reference books)
Marcellini-Sbordone Elementi di Matematica, Esercitazioni di Analisi Matematica
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Dates of beginning and end of teaching activities
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From to |
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Delivery mode
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Traditional
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Attendance
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not mandatory
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Teacher
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Renzi Bruno
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Dates of beginning and end of teaching activities
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From to |
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Attendance
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not mandatory
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Università Roma Tre