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Course Sheet Academic Year of enrolment:
Professor and Collaborators:
Hours of classroom activity:
Prerequisites:
Competence with the main mathematical notions and skills provided by primary and secondary school.
Objectives Contents Fundamental notions about limits, continuity, differential and integral calculus for one variable real functions.
Extended Syllabus Properties of real numbers. Complex numbers. Limits of one variable real functions. Continuous functions. Theorems on continuous functions defined on an interval. Derivatives. Theorems on diferentiable functions defined on an interval. Convex functions. Higher order derivatives and Taylor polynomials. Integrals: Riemann integral, integrability, mean value theorem, fundamental theorem of calculus, primitive functions, integration by parts, integration by substitution, integration of some rational functions, improper integrals.
Recommended Bibliography M. Bertsch, R. Dal Passo e L. Giacomelli, Analisi Matematica, McGraw-Hill.
Teaching Methods Teaching methods: Lectures.
Evaluation methods Verification of learning:
Final written and oral exam. The oral exam can be taken only if the written exam score is at least 18/30.
Contacts/More Information Further information, details and suggestions are available at paolacellini.unich.it/studenti.html
