- Docente: Federica Gerace
- Credits: 3
- SSD: MAT/07
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Chemistry and Materials Chemistry (cod. 8006)
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from Mar 03, 2025 to Jun 05, 2025
Learning outcomes
At the end of the course the student will know the basic notions of series, power series expansions and reach a sufficient knowledge to solve solve problems regarding linear algebra, integral and differential calculus and applied sciences.
Course contents
Prerequisites
Good knowledge of the concept of a function of a real variable, limits, continuity, and differential calculus.
Program
- Complex Numbers, basic properties
- Linear second order ODE, methods of solution
- Series, convergence criteria
- Taylor's expansion of a real functions
Readings/Bibliography
- G. Zwirner "Istituzioni di matematiche. Parte I", CEDAM
- M. Bramanti, C. D. Pagani, S. Salsa, "Matematica: calcolo infinitesimale e algebra lineare", 2a ed., Zanichelli, 2004
Teaching methods
This course takes place in the second semester and represents the third part (3 cfu) of the integrated course Matematica (15 cfu). The first part (Matematica 1, 6 cfu) and the second part (Mathematics 2, 6 cfu) are held respectively in the first and second semester and are held by Prof.ssa Emanuela Caliceti and Emanuele Mingione.
The course consists of frontal lectures starting with the theoretical aspects and then constructing examples and applications that clarify the properties and the applications of mathematical objects. Afterwards, several lectures are devoted to the applications of the notions and techniques previously introduced, and to solving exercises and problems.
Assessment methods
The assessment of the knowledge acquired in the Complementary Mathematics course (third module of the integrated Mathematics course) is carried out through a final written exam combined with that of the Mathematics 2 course (second module of the integrated Mathematics course) lasting a total of 4 hours. The written exam is structured in two parts: the first part consists of open-ended questions related to Mathematics 2 and is worth 20 points. The second part consists of open-ended questions related to Complementary Mathematics and is worth 10 points. To pass, a minimum score of 12 points in the first part and 6 points in the second part is required. The questions in the Complementary Mathematics section will involve solving problems related to the topics covered in the course. The use of books, notes, calculators, or electronic aids is not allowed.
The grade for the entire integrated Mathematics course is calculated as a weighted average based on the credits (cfu) of the grades obtained in the Mathematics 1 exam (6 cfu) and the combined exam of Mathematics 2 and Complementary Mathematics (9 cfu). To record the grade, you must register on Almaesami and attend one of the specially scheduled sessions.
Teaching tools
The teaching tools will be available on the Virtuale platform.
Office hours
See the website of Federica Gerace