Study programme 2019-2020Français
Applied Mathematics
Programme component of Bachelor's in Engineering: Architectural Engineering à la Faculty of Engineering

Students are asked to consult the ECTS course descriptions for each learning activity (AA) to know what assessment methods are planned for the end of Q2

CodeTypeHead of UE Department’s
contact details
Teacher(s)
UI-B2-IRCIVA-009-MCompulsory UESIEBERT XavierF151 - Mathématique et Recherche opérationnelle
  • SIEBERT Xavier

Language
of instruction
Language
of assessment
HT(*) HTPE(*) HTPS(*) HR(*) HD(*) CreditsWeighting Term
  • Français
Français241200033.001st term

AA CodeTeaching Activity (AA) HT(*) HTPE(*) HTPS(*) HR(*) HD(*) Term Weighting
I-MARO-024Systems of Differential Equations and Integral Transforms2412000Q1100.00%
Programme component
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
  • Graded tests

Q1 UE Assessment Comments

The practical part for the AA entitled "Systems of differential equations and integral tranforms" occurs separately. Overall the practical and theoretical parts each contribute 50% to the global note.  

Type of Assessment for UE in Q3

  • Written examination

Q3 UE Assessment Comments

Written exam with theoretical and practical questions (50 % each)

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

AARequired Reading
I-MARO-024

Required Learning Resources/Tools

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

Recommended Reading

AARecommended Reading
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-024Authorized
(*) HT : Hours of theory - HTPE : Hours of in-class exercices - HTPS : hours of practical work - HD : HMiscellaneous time - HR : Hours of remedial classes. - Per. (Period), Y=Year, Q1=1st term et Q2=2nd term
Date de génération : 24/04/2020
20, place du Parc, B7000 Mons - Belgique
Tél: +32 (0)65 373111
Courriel: info.mons@umons.ac.be