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Facoltā di Scienze Agrarie e Alimentari Universitā degli Studi di Milano
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Calculus
Code: G2908-
Teacher:  Nadia Scappini
Year: 
Term: 
CFU: 
CFU subdivision: Lectures: 5
Practices in classroom: 3
Basic aims:  The course intends to treat some mathematical concepts and methods, particularly usefull for the application to Agricultural Sciences. The aim of the course is help the student to gain an adeuqate theoretical understanding of the matter, as well as adequate computational skill.
Acquired skills:  Knowledge and understanding of basic concepts of calculus in one variable, solution of exercises related to the topics developed during the courses.
Course contents:  Integer numbers, rational numbers and real numbers. Coordinates systems, element of analytic geometry, stright lines, circumferences, parabolas. Elementary functions and their graphics: exponential, logarithmic and trigonometric functions. Equations and inequalities: of I and II degrees, fractional, logarithmic and exponential, systems of inequalities. Real functions: -Definition of relations and funtion -Limits -Continuity -Derivatives: geometrical meaning, rules of differentiation, relative maxima and minima, -Asymptotes -The study of a function of one real variable. Integration: -primitives of a function, the indefinite integral -the definite integral and the calculus of plane areas -the fundamentale Theorem of Integral Calculus
Program:  Integer numbers, rational numbers and real numbers. Coordinates systems, element of analytic geometry, stright lines, circumferences, parabolas. Elementary functions and their graphics: exponential, logarithmic and trigonometric functions. Equations and inequalities: of I and II degrees, fractional, logarithmic and exponential, systems of inequalities. Real functions: -Definition of relations and funtion -Limits -Continuity -Derivatives: geometrical meaning, rules of differentiation, relative maxima and minima, -Asymptotes -The study of a function of one real variable. Integration: -primitives of a function, the indefinite integral -the definite integral and the calculus of plane areas -the fundamentale Theorem of Integral Calculus
Prerequisites:  Integer numbers, rational numbers and real numbers. Equations and inequalities. Logarithmic and exponential, systems of inequalities Elements of analytic geometry, coordinates, stright lines. Elementary functions and their graphics: exponential, logarithmic and trigonometric functions.
Preparatory instructions:  no one
Learning materials:  agrimat e matematica assistita reperibile al link http://ariel.ctu.unimi.it/corsi/mateassistita
Other info:  The final examination consists of a written and an oral part. Both of them are mandatory. Only students who have been approved (with a mark of at least 18/30) in the written examination can do the oral part.
The written examination is designed to test computational skills, while during the oral part the theoretical understanding of the topic discussed during the course will be checked.
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Program of Calculus (pdf version)
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