95750 - MATEMATICA E GEOMETRIA P

Learning outcomes

Knowledge of the main tools of linear algebra (matrices, vector spaces, linear systems, quadratic forms) and of their applications in a geometric environment. Also Function Study, Derivatives and Integrals are part of the course.

Course contents

Sequences and functions. Rational functions. Exponentials and logarithms. Trigonometric functions. Equations and inequations. Complex numbers. Limits. Asymptotes. Continuity. Derivatives. Differentiation rules. Applications of derivative. Integrals. Techniques of integration. Applications of integration. Vectors and matrices. Linear systems. Vector spaces. Vectors and the geometry of space. Conics.

Readings/Bibliography

A. M. Bigatti, L. Robbiano - Matematica di base - CEA (Zanichelli) 2021.

M. Bramanti, C. D. Pagani, S. Salsa - Analisi Matematica I con elementi di geometria e algebra lineare - Zanichelli 2014

Teaching methods

Lectures and exercises in presence and / or remotely.

Assessment methods

The examination consists of a 2-hour written test composed of two parts:

• a first one will cover theory questions (formulation of definitions and statements of theorems, construction of examples and counterexamples, demonstrations); 
• a second one will require the carrying out of exercises.

The use of scientific calculator is allowed, but the use of other electronic devices is prohibited.

The test is considered passed if in each of the two parts the grade is higher than 8/16 and if the sum of the two is higher than 18/32. The grade is made up of the sum of the evaluations of the two parts (with a grade above 30, cum laude is awarded).

The written test may be integrated by an optional oral test at the request of the student/student. This must be taken in the same session as the written test.

 

Teaching tools

Additional materials available on the course Virtual page:

• courses notes;
• contents of the lessons and exercises;
• examples of exam topics.

Office hours

See the website of Maurizio Casali