20410405 - AM110 - MATHEMATICAL ANALYSIS 1

To acquire a good knowledge of the basic concepts and methods of differential and integral calculus in a real variable through the study of models, examples and problems.

Curriculum

teacher profile | teaching materials

Programme

Numbers. Inequalities. Exponential functions and logarithms. Trigonometric functions and their inverses (applies to OFA recovery);
Limits (sequences, functions) and continuity. Derivatives. Graphs of functions;
Integrals. Series and improper integrals;
Differential equations: first order linear equations, with separation of variables, second order equations with constant coefficients, non-autonomous.

Core Documentation

"Corso di analisi. Prima parte. Una introduzione rigorosa all'analisi matematica su R", L. Chierchia, McGraw-Hill Education
"Analisi Matematica 1", E. Giusti, Bollati Boringhieri


Reference Bibliography

"Corso di analisi. Prima parte. Una introduzione rigorosa all'analisi matematica su R", L. Chierchia, McGraw-Hill Education "Analisi Matematica 1", E. Giusti, Bollati Boringhieri

Type of delivery of the course

-

Attendance

Attending classes is not mandatory but it is strongly advised

Type of evaluation

Written exam (or intermediate tests) and oral exam

teacher profile | teaching materials

Programme

Numbers. Inequalities. Exponential functions and logarithms. Trigonometric functions and their inverses (applies to OFA recovery);
Limits (sequences, functions) and continuity. Derivatives. Graphs of functions;
Integrals. Series and improper integrals;
Differential equations: first order linear equations, with separation of variables, second order equations with constant coefficients, non-autonomous.

Core Documentation

"Corso di analisi. Prima parte. Una introduzione rigorosa all'analisi matematica su R", L. Chierchia, McGraw-Hill Education
"Analisi Matematica 1", E. Giusti, Bollati Boringhieri


Reference Bibliography

"Corso di analisi. Prima parte. Una introduzione rigorosa all'analisi matematica su R", L. Chierchia, McGraw-Hill Education "Analisi Matematica 1", E. Giusti, Bollati Boringhieri

Type of delivery of the course

-

Attendance

Attending classes is not mandatory but it is strongly advised

Type of evaluation

Written exam (or intermediate tests) and oral exam