Calculus
A.Y. 2018/2019
Learning objectives
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.
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.
Expected learning outcomes
Knowledge and understanding of basic concepts of
calculus in one variable, solution of exercises related to
the topics developed during the courses
calculus in one variable, solution of exercises related to
the topics developed during the courses
Lesson period: First semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
Single session
Lesson period
First semester
Course syllabus
Numerical sets.: N, Z, Q e R. The coordinate plane: straight lines, parabolas, circles. Elementary functions and their graph. Equations, inequalities and system of algebraic and irrational inequalities. Generalities about real funcion: domain, range, injective and surjective functions, composed functions, inverse functions, geometric transforms of elementary functions. Limits: computing limits, comparison of infinites and infinitesimals, indeterminate forms. Continuity. Asymptotes: vertical, horizontal and slant. Differential calculus: first derivative, tangent line, monotonicity, global and local maxima and minima. Second derivative: convexity and concavity, inflection points. Integral calculus. Computation of plane areas.
Teaching methods
agrimat and matematica assistita: free download at http://ariel.ctu.unimi.it/corsi/mateassistita
MAT/05 - MATHEMATICAL ANALYSIS - University credits: 8
Practicals: 48 hours
Lessons: 40 hours
Lessons: 40 hours
Professor:
Guenzani Roberto