| INSTITUTIONS OF MATHEMATICAL
(objectives)
THE GOAL IS TO KNOW THE BASIC OF MATHEMATICAL ANALYSIS AND DEVELOP THE CAPACITY TO ADDRESS AND RESOLVE PROBLEMS THROUGH THE LOGIC MATHEMATICS.
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Code
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20401852 |
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Language
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ITA |
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Type of certificate
|
Profit certificate
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| Module:
(objectives)
THE GOAL IS TO KNOW THE BASIC OF MATHEMATICAL ANALYSIS AND DEVELOP THE CAPACITY TO ADDRESS AND RESOLVE PROBLEMS THROUGH THE LOGIC MATHEMATICS.
|
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Code
|
20401852-1 |
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Language
|
ITA |
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Type of certificate
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Profit certificate
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Credits
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5
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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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Type of Activity
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Basic compulsory activities
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Teacher
|
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. Definition of integrable function, the fundamental theorem of integral calculus.
(reference books)
Marcellini-Sbordone Elementi di Matematica,
Calculus, Apostol
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Dates of beginning and end of teaching activities
|
From to |
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Delivery mode
|
Traditional
|
|
Attendance
|
not mandatory
|
|
|
| Module:
(objectives)
THE GOAL IS TO KNOW THE BASIC OF MATHEMATICAL ANALYSIS AND DEVELOP THE CAPACITY TO ADDRESS AND RESOLVE PROBLEMS THROUGH THE LOGIC MATHEMATICS.
|
|
Code
|
20401852-2 |
|
Language
|
ITA |
|
Type of certificate
|
Profit certificate
|
|
Credits
|
1
|
|
Scientific Disciplinary Sector Code
|
MAT/05
|
|
Contact Hours
|
-
|
|
Laboratory Hours
|
10
|
|
Type of Activity
|
Basic compulsory activities
|
|
Teacher
|
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. Definition of integrable function, the fundamental theorem of integral calculus.
(reference books)
Marcellini-Sbordone Elementi di Matematica,
Calculus, Apostol
|
|
Dates of beginning and end of teaching activities
|
From to |
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Delivery mode
|
Traditional
|
|
Attendance
|
not mandatory
|
|
Teacher
|
CENTURIONI SANTE
(reference books)
Appunti forniti dal docente.
Demidovic: Esercizi e problemi di analisi matematica, ed riuniti.
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Dates of beginning and end of teaching activities
|
From to |
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Delivery mode
|
Traditional
|
|
Attendance
|
not mandatory
|
|
|
|
Università Roma Tre