MATHEMATICAL ANALYSIS

MATHEMATICAL ANALYSIS

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Last update 09/05/2021 11:13
Code
105938
ACADEMIC YEAR
2021/2022
CREDITS
6 credits during the 1st year of 9274 Product and nautical design (L-4) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR
MAT/05
LANGUAGE
Italian
TEACHING LOCATION
GENOVA (Product and nautical design)
semester
1° Semester
modules
This unit is a module of:
Teaching materials

AIMS AND CONTENT

AIMS AND LEARNING OUTCOMES

The course provides basic notions about Functions of one variable, integration of continuous functions in view of applications in Nautic Design

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

Ricevimento:   Until the end of the health emergency, a special Teams channel will be set up and students can post their requests. Periodically the teacher will post the answers on Stream

LESSONS

Teaching methods

52 hours of distance lectures until the end of sanitary emergency

ORARI

L'orario di tutti gli insegnamenti è consultabile su EasyAcademy.