Study programme 20192020  Français  
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 

Code  Type  Head of UE  Department’s contact details  Teacher(s) 

UIB2IRCIVA009M  Compulsory UE  SIEBERT Xavier  F151  Mathématique et Recherche opérationnelle 

Language of instruction  Language of assessment  HT(*)  HTPE(*)  HTPS(*)  HR(*)  HD(*)  Credits  Weighting  Term 

 Français  24  12  0  0  0  3  3.00  1st term 
AA Code  Teaching Activity (AA)  HT(*)  HTPE(*)  HTPS(*)  HR(*)  HD(*)  Term  Weighting 

IMARO024  Systems of Differential Equations and Integral Transforms  24  12  0  0  0  Q1  100.00% 
Programme component  

UIB1IRCIVA003M Engineering Mathematics 1  
UIB1IRCIVA004M Engineering Mathematics 2 
Objectives of Programme's Learning Outcomes
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
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
Q3 UE Assessment Comments
Written exam with theoretical and practical questions (50 % each)
Type of Resit Assessment for UE in Q1 (BAB1)
Q1 UE Resit Assessment Comments (BAB1)
Not applicable
Type of Teaching Activity/Activities
AA  Type of Teaching Activity/Activities 

IMARO024 

Mode of delivery
AA  Mode of delivery 

IMARO024 

Required Reading
AA  Required Reading 

IMARO024 
Required Learning Resources/Tools
AA  Required Learning Resources/Tools 

IMARO024  lecture notes and exercises 
Recommended Reading
AA  Recommended Reading 

IMARO024 
Recommended Learning Resources/Tools
AA  Recommended Learning Resources/Tools 

IMARO024  Not applicable 
Other Recommended Reading
AA  Other Recommended Reading 

IMARO024  C. Alsangul, "Des mathématiques pour les sciences", Ed. De Boeck 
Grade Deferrals of AAs from one year to the next
AA  Grade Deferrals of AAs from one year to the next 

IMARO024  Authorized 