AIMS AND CONTENT

LEARNING OUTCOMES

This course aims to provide students with the basic knowledge and tools in preparation for the other courses, which require mathematical notions and methods.

AIMS AND LEARNING OUTCOMES

By the end of this course, students will be able to study the graph of the functions of one variable, as well as know the properties of the integrals of the functions of one variable.
 

TEACHING METHODS

52 hours of distance lectures until the end of sanitary emergency

SYLLABUS/CONTENT

1) Real numbers and the real line. Cartesian coordinates in the plane. Functions and their graphs. Limits and continuity. Theorems about continuous functions. The 

derivative. Differentiation rules: product, reciprocal, quotient and chain rule. Monotone functions: the inverse function theorem. Derivatives of some elementary functions. Theorems about differentiable functions: Rolle, Lagrange, Cauchy. L’Hopital’s rule. Higher order derivatives. Extreme values, convexity and inflection. Sketching the graph of a function.

2) Integration. Sums and sigma notation. Areas as limits of sums. The definite integral. Properties of the definite integral. The fundamental Theorem of Calculus. Changes of variable: the method of substitution. Areas of plane regions. Integration by parts. Integrals of rational functions.

RECOMMENDED READING/BIBLIOGRAPHY

R.A. Adams, Calcolo Differenziale 1 Casa

Editrice Ambrosiana.

TEACHERS AND EXAM BOARD

Exam Board

DANILO PERCIVALE (President)

VALENTINA BERTELLA

SERGIO DE MICHELI

MARIA VIRGINIA CATALISANO (President Substitute)

LESSONS

LESSONS START

https://corsi.unige.it/9274/p/studenti-orario

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

Exam schedule