Study programme 20192020  Français  
Engineering Mathematics 2  
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 Q3 

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

UIB1IRCIVA004M  Compulsory UE  SIEBERT Xavier  F151  Mathématique et Recherche opérationnelle 

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

 Français  32  32  0  8  0  6  6.00  2nd term 
AA Code  Teaching Activity (AA)  HT(*)  HTPE(*)  HTPS(*)  HR(*)  HD(*)  Term  Weighting 

IMARO022  Algebra 2  10  10  0  4  0  Q2  35.00% 
IMARO023  Analysis 2  22  22  0  4  0  Q2  65.00% 
Programme component 

Objectives of Programme's Learning Outcomes
Learning Outcomes of UE
Recall, interpret and apply all the studied definitions and properties; recall, explain, justify and formalize demonstrations; manipulate the concepts of logic; exploit theoretical results;
In Algebra: solve systems of linear equations; calculate a distance, a norm, a scalar product; orthogonalize a matrix; calculate the eigenvalues and eigenvectors of a matrix;
In Analysis: integrate functions from Rn to Rm (with or without change of variables); compute line and surface integrals (including the use of vector analysis theorems); use power series to solve differential equations.
Content of UE
In Algebra: distances, norms and scalar products, orthogonal projections; eigenvalues and eigenvectors; properties of particular square matrices.
In Analysis: introduction to measure theory; multiple integrals (Fubini theorem, change of variables); line and surface integrals; vector analysis theorems (Green, Stokes and Ostrogradski); conservative fields; constrained optimization; numerical sequences and series; power series; power series for differential equations.
Prior Experience
Sans objet
Type of Assessment for UE in Q2
Q2 UE Assessment Comments
algèbre : Written examination covering both parts (Exercices : 45 %  Theory : 45 %).This examination is organized
out of session. Continuous evaluation (written interrogation) : 10 % analyse : A written exam, 50% for theory and 50% for exercises
Type of Assessment for UE in Q3
Q3 UE Assessment Comments
algèbre : Written examination covering both parts (Exercices : 50 %  Theory : 50 %).This examination is organized
the same halday as Analysis 2. analyse : Written examination covering both parts (theory  50% and exercises  50%), organized during the same halfday as the oral exam of Algèbre 2
Type of Teaching Activity/Activities
AA  Type of Teaching Activity/Activities 

IMARO022 

IMARO023 

Mode of delivery
AA  Mode of delivery 

IMARO022 

IMARO023 

Required Reading
AA  Required Reading 

IMARO022  Note de cours  Algèbre : Partie théorie  D. Tuyttens 
IMARO023 
Required Learning Resources/Tools
AA  Required Learning Resources/Tools 

IMARO022  Not applicable 
IMARO023  Not applicable 
Recommended Reading
AA  

IMARO022  
IMARO023 
Recommended Learning Resources/Tools
AA  Recommended Learning Resources/Tools 

IMARO022  Sans objet 
IMARO023  Not applicable 
Other Recommended Reading
AA  Other Recommended Reading 

IMARO022  Not applicable 
IMARO023  Not applicable 
Grade Deferrals of AAs from one year to the next
AA  Grade Deferrals of AAs from one year to the next 

IMARO022  Unauthorized 
IMARO023  Unauthorized 