Objectives of Programme's Learning Outcomes

• Master expertise.
• Have acquired knowledge and a thorough understanding of specialist areas of physics in connection with mathematics and/or advanced laboratory practices required for these sectors.
• Grow personally and professionally.
• Have developed the skills that will enable them to continue to acquire knowledge independently.
• Have a creative and rigorous scientific approach
• Apply their knowledge, understanding and ability to solve problems in new or unfamiliar environments and in multidisciplinary contexts related to physical sciences.
• Master expertise.
• Have developed the knowledge and skills acquired in the previous cycle to a level that extends beyond the Bachelor's course in Physics, and which provides the basis for the development and implementation of original ideas in a professional context.
• Have acquired knowledge and a thorough understanding of specialist areas of physics in connection with mathematics and/or advanced laboratory practices required for these sectors.
• Have reached a level of knowledge and skill giving them access to the third cycle of the study prgramme / doctoral studies (only for two-year Master courses).
• Grow personally and professionally.
• Have developed the skills that will enable them to continue to acquire knowledge independently.
• Have a creative and rigorous scientific approach
• Apply their knowledge, understanding and ability to solve problems in new or unfamiliar environments and in multidisciplinary contexts related to physical sciences.

Learning Outcomes of UE

At the end of the instruction, the students will be able to:
• prove the existence an uniqueness (both local and global) of solutions of ordinary differential equations (ODE);
• solve linear ODE;
• linearize ODE;
• build standard numerical methods for ODE and implement them.

Content of UE

Cauchy problems: existence, uniqueness, linearization, continuous dependence, matrix exponential, method of variation of constants.
Numerical methods: consistency, order, convergence

Prior Experience

Differential and integral calculus, elementary notions in Numerical Analysis.

Type of Assessment for UE in Q1

• Presentation and works
• Practical test

Q1 UE Assessment Comments

Not applicable

Type of Assessment for UE in Q2

• Presentation and works
• Practical test

Q2 UE Assessment Comments

Not applicable

Type of Assessment for UE in Q3

• Presentation and works
• Practical Test

Q3 UE Assessment Comments

Not applicable

Q1 UE Resit Assessment Comments (BAB1)

Not applicable