Number of hours
- Lectures 19.5
- Projects -
- Tutorials 43.5
- Internship -
- Laboratory works 16.5
- Written tests 4.0
ECTS
ECTS 6.0
Goal(s)
- To understand the needs of numerical computing and its specificities; to know and understand the standard methods of numerical analysis (continuous optimization, differential equations, function estimation...)
- To know the basic concepts and tools of Probabilities; to be capable of using them to model stochastic problems.
• To understand the foundations of algorithmic and data structures; to know how to perform a top-down analysis of problems and design modular solutions based on the main concepts of object oriented programming; to be capable of implementing one's own programs using a programming language (Java).
Responsible(s)
Content(s)
Numerical analysis:
- error control;
- discretization, derivative evaluations, Euler method for differential equations;
- continuous optimization (properties, gradien and Newton method);
- continuous optimization with constraints (KKT conditions).
Probabilities:
- discrete and continuous random variables;
- independence, conditionnal probabilities;
- pseudo-random number generation;
- expected value and variance.
Computer science:
- algorithmic formalism and the main concepts of object oriented programming;
- top-down analysis of problems;
- definition of an algorithmic language (variables, control structures);
- data structures (tables, lists) and algorithmic techniques (recursion, divide and conquer)
- simple complexity analysis
- object oriented programming (objects, classes, attributes, encapsulation) and a programming language (JAVA).
Mathematics
Test
CcM : continuous evaluation (maths)
CcI : continuous evaluation (computer science)
ExM : written exam (maths)
ExI : written exam (computer science)
Pro : project
S2 : exam session 2, maths and computer science
N1 = final result, session 1
N2 = final result, session 2
Note S1 = 0.4*Maths + 0.4*Informatique + 0.2*Problèmes
Note S2: un seul examen avec Maths /et/ Info, validé si note >= 10 avec au moins 3 en Maths et 3 en Info.
Calendar
The course exists in the following branches:
- Curriculum - Engineer student Bachelor - Semester 5
Additional Information
Course ID : 3GUC0205
Course language(s):
You can find this course among all other courses.
Bibliography
- L'Optimisation, J.B. Hiriart-Urruty, PUF, 1996.
- Mathématiques numériques pour l'ingénieur, B. Radi, A El Hami. Ellipses, 2010.
- Analyse numérique matricielle appliquée à l'art de l'ingénieur, P. Lascaux, R. Théodor. Masson (2 tomes).
- Introduction to Probability Models, Sheldon M. Ross, Elsevier.
- Introduction au calcul des probabilités, Gérald Baillargeon, 1999.
- Probabilité, analyse de données et statistique, G. Saporta, 2006.
- Calcul des probabilités : cours et exercices corrigés", D. Foata, A. Fuchs.
- http://ljk.imag.fr/membres/Bernard.Ycart/smel/ (ce site propose un cours, des jeux de données, des articles de réflexion, et surtout beaucoup d'applications pour visualiser, tester et comprendre les différents concepts du cours)
- Introduction to algorithms Ed. McGraw Hill. Thomas H. CORMEN, Charles E. LEISERSON, Ronald L. RIVEST.
- Foundations of Computer Science. Ed. W. H. Freeman. Alfred V. Aho, Jeffrey D. Ullman.
- Initiation à l'informatique. Ed. Eyrolles. Henri-Pierre Charles
- Apprendre à programmer avec Python3, Gérard Swinnen, 2012
- The Python Standard Library, https://docs.python.org/3/library/index.html
French State controlled diploma conferring a Master's degree
Common Core presentation
Programme courses S5
Programme courses S6
Supply Chain Management
Programme presentation
Programme courses S7
Programme courses S8
Programme courses S9
Programme courses S10
Product Design
Programme presentation
Programme courses S7
Programme courses S8
Programme courses S9
Programme courses S10
Contacts
Academic staff
Head of studies: Pierre Lemaire
Head of 1st Year Program: Abdourahim Sylla
Head of Supply Chain Management Program: Iragael Joly
Head of Product design Program: Marie-Laure Perenon
Registrar's office
Head of Registrar's office: genie-industriel.scolarite@grenoble-inp.fr
Secretary's office 1st Year: Valérie Demicheli
Secretary's office 2nd Year: Sylvie Malandrino
Secretary's office 3rd Year: Vincente Odier
International relations department:
Nadia Dehemchi
Head of studies: Pierre Lemaire
Head of 1st Year Program: Abdourahim Sylla
Head of Supply Chain Management Program: Iragael Joly
Head of Product design Program: Marie-Laure Perenon
Registrar's office
Head of Registrar's office: genie-industriel.scolarite@grenoble-inp.fr
Secretary's office 1st Year: Valérie Demicheli
Secretary's office 2nd Year: Sylvie Malandrino
Secretary's office 3rd Year: Vincente Odier
International relations department:
Nadia Dehemchi