Duration
20h Th, 20h Pr
Number of credits
Lecturer
Language(s) of instruction
English language
Organisation and examination
Teaching in the first semester, review in January
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
Numerical analysis is at the boundary between Mathematics and Computer Science. It consists in studying how to practically obtain in a computer different mathematical concepts studied in other courses.
There are two main types of problems studied by numerical analysis:
- how to actually compute results for which an analytical expression exists but that can be obtained more or less accurately depending on the selected method
- how to compute solutions of real problems for which no analytical solution is known but that can be approximated using a computer.
The course is structured in four main chapters.
Ch 1: Polynomial interpolation and regression
Ch 2: Numerical linear algebra and basic linear programming
Ch 3: Non linear systems
Ch 4: Numerical derivation and integration
Learning outcomes of the learning unit
At the end of the course, the student will have to
- master the main numerical methods to approximate derivatives, definite integrals, linear and nonlinear systems, eigenvalues, regressions,
- understand the bases of linear optimization and the simplex algorithm,
- be able to analyze the behaviour of these numerical methods and in particular to be able to discuss their stability, their order of convergence and their conditions of application,
- be able to apply these methods to academic and simple practical instances.
Prerequisite knowledge and skills
An introductory course on linear algebra and calculus.
Planned learning activities and teaching methods
The course is organized as follows: 10 lectures and 8 tutorials.
Mode of delivery (face to face, distance learning, hybrid learning)
Face-to-face course
Additional information:
The course is given in face-to-face.
Recommended or required readings
The syllabus is available at the CdC.
Exam(s) in session
Any session
- In-person
written exam ( open-ended questions )
Additional information:
A written exam.
One theoretical question accounts for 25% of the final grade, it is a true/false with a few lines of justification, the rest being exercises similar to the tutorials. A formulary with the main formulas is given with the exam questions.
Work placement(s)
Organisational remarks and main changes to the course
The theoretical lectures are taught in English. The problem sessions are taught in French.
All documents of the course are available on ecampus.
This includes the slides, the annotated slides, the organizational details.
Contacts
q.louveaux@uliege.be