27993 - Mathematical Analysis T-2

Learning outcomes

Refinement and enrichment of basic mathematical tools (series, curves, several types of integral, differential equations) for solving typical problems in applies sciences. 

Course contents

The Euclidean space R^n. Differential calculus of functions of several real variables. Ordinary differential equations. Measure and integration in the sense of Lebesgue.  Sequences and series of functions.

 

Readings/Bibliography

Notes made available by the teacher.

Teaching methods

Lessons at the blackboard or on line (if necessary)

Assessment methods

The exam is exclusively written, divided into three parts: in the first, the candidate must solve two exercises in one hour; the maximum possible score is 10; in the second, the candidate must complete four multiple-choice questions; a correct answer is worth 3, an incorrect answer is -1, and an unanswered question is 0. Only those who obtain a total of 11 points in the first two parts (out of a theoretical maximum of 22) are admitted to the third part. These candidates are then asked two theoretical questions (taken from a list provided to students in advance), for a maximum score of 12 points. A score lower than 4 in the last part is considered a failure; the same applies if the total score, including that of the first two parts, is lower than 17. If the total score is at least 17, the exam is considered to be passed with a score equal to the score obtained plus 1. Failed previous tests do not affect subsequent results in any way.

Teaching tools

None

Office hours

See the website of Davide Guidetti