Study programmeFrançais
Applied Mathematics
Programme component of Bachelor's Degree in Engineering: Architectural Engineering à la Faculty of Engineering
CodeTypeHead of UE Department’s
contact details
Teacher(s)
UI-B2-IRCIVA-009-MCompulsory UESIEBERT XavierF151 - Mathématique et Recherche opérationnelle
  • FORTEMPS Philippe
  • SIEBERT Xavier

Language
of instruction
Language
of assessment
HT(*) HTPE(*) HTPS(*) HR(*) HD(*) CreditsWeighting Term
  • Français
Français24120003.003.00

AA CodeTeaching Activity (AA) HT(*) HTPE(*) HTPS(*) HR(*) HD(*) Term Weighting
I-MARO-024Systems of Differential Equations and Integral Transforms2412000Q1100.00%
Unité d'enseignement
Prérequis
Prérequis

Objectives of Programme's Learning Outcomes

  • Implement an engineering approach dealing with a set problem taking into account technical, economic and environmental constraints
    • Design, evaluate and optimise solutions addressing the problem
    • Identify and acquire the information and skills needed to solve the problem
  • Understand the theoretical and methodological fundamentals in arts, science, engineering and construction to solve problems involving these disciplines
    • Identify, describe and explain the basic artistic, scientific and mathematical principles
  • Demonstrate thoroughness and independence throughout their studies
    • Develop scientific and cultural curiosity and open-mindedness
    • Learn to use various resources made available to inform and train independently

Learning Outcomes of UE

discuss the proof of theorems and identify the impact of their hypotheses.
solve a system of differential equations using Laplace transform or exponential of matrices
compute and use Fourier series and Fourier transforms
understand the basic principles of partial differential equations

understand and apply the theory of functions of complex variables, oriented towards engineering applications
 

Content of UE

ordinary differential equations; Laplace transforms; series of functions, Cauchy problem; systems of differential equations; Fourier series, Fourier transform;

introduction to partial differential equations

fonctions of a complex variable ; inversion of Laplace transform;  z transform

Prior Experience

Calculus

Type of Assessment for UE in Q1

  • Written examination
  • Quoted exercices

Q1 UE Assessment Comments

Theoretical and practical questions with various difficulty levels

Type of Assessment for UE in Q2

  • N/A

Q2 UE Assessment Comments

Not applicable

Type of Assessment for UE in Q3

  • N/A

Q3 UE Assessment Comments

Not applicable

Type of Resit Assessment for UE in Q1 (BAB1)

  • N/A

Q1 UE Resit Assessment Comments (BAB1)

Not applicable

Type of Teaching Activity/Activities

AAType of Teaching Activity/Activities
I-MARO-024
  • Cours magistraux
  • Exercices dirigés
  • Démonstrations

Mode of delivery

AAMode of delivery
I-MARO-024
  • Face to face

Required Reading

AA
I-MARO-024

Required Learning Resources/Tools

AARequired Learning Resources/Tools
I-MARO-024lecture notes and exercises

Recommended Reading

AA
I-MARO-024

Recommended Learning Resources/Tools

AARecommended Learning Resources/Tools
I-MARO-024Not applicable

Other Recommended Reading

AAOther Recommended Reading
I-MARO-024C. Alsangul, "Des mathématiques pour les sciences", Ed. De Boeck

Grade Deferrals of AAs from one year to the next

AAGrade Deferrals of AAs from one year to the next
I-MARO-024Autorisé
Date de génération : 17/03/2017
20, place du Parc, B7000 Mons - Belgique
Tél: +32 (0)65 373111
Courriel: info.mons@umons.ac.be