- Docente: Alessandro Bettini
- Credits: 4
- SSD: MAT/05
- Language: Italian
- Moduli: Alessandro Bettini (Modulo 1) Alessandro Bettini (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Bologna
- Corso: First cycle degree programme (L) in Orthopaedics Techniques (cod. 5915)
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from Dec 19, 2023 to Jun 28, 2024
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from Mar 07, 2024 to Mar 26, 2024
Learning outcomes
At the end of the module, the student possesses the basic knowledge of mathematics at university level that allows applications in orthopaedic techniques. In particular, the student is able to interpret and draw the graph of a function of one and two real variables; to manipulate trigonometric, polynomial, exponential and logarithmic functions, to study the asymptotic behaviour of elementary mathematical models and to use the basic tools of differential calculus. Furthermore, the student is able to solve linear systems by searching for eigenvectors and eigenvalues, to diagonalise real symmetric matrices and to solve simple geometry problems. Notes on the Fourier and Laplace transforms.
Course contents
Complex numbers.
Elements of trigonometry.
Logarithmic and semi-logarithmic diagrams.
Systems of linear equations and matrices.
Determinant of a matrix, eigenvalues and eigenvectors.
Functions in one real variable.
Limits.
Derivatives.
Study of functions in a real variable.
Integrals.
Functions in two real variables.
Free maxima and minima.
Conditional and absolute maxima and minima.
Differential equations.
Notes on the Laplace transform.
Readings/Bibliography
Handouts provided by the teacher.
Teaching methods
Lectures and exercises.
Assessment methods
Written evidence.
Teaching tools
Video projector, PC and blackboard.
Office hours
See the website of Alessandro Bettini