Study programme 20192020  Français  
Engineering Mathematics 1  
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) 

UIB1IRCIVA003M  Compulsory UE  TUYTTENS Daniel  F151  Mathématique et Recherche opérationnelle 

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

 Français  44  44  0  8  0  8  8.00  1st term 
AA Code  Teaching Activity (AA)  HT(*)  HTPE(*)  HTPS(*)  HR(*)  HD(*)  Term  Weighting 

IMARO020  Algebra 1  20  20  0  4  0  Q1  50.00% 
IMARO021  Analysis 1  24  24  0  4  0  Q1  50.00% 
Programme component 

Objectives of Programme's Learning Outcomes
Learning Outcomes of UE
In Algebra 1 : recall, interpret and apply all the studied definitions and properties;
recall, explain, justify and formalize demonstrations;
manipulate the concepts of logic;Identify algebraic structures; handle complex numbers, polynomials and matrices;
solve systems of linear equations; build a basis of a vector space;
calculate the kernel and rank of a linear map;
perform a change of basis;
In Analysis 1 : recall, interpret and apply all the studied definitions and properties;
recall, explain, justify and formalize demonstrations;
manipulate the concepts of logic;
exploit theoretical results;
implement the functions from R to R and from Rn to Rm (limits, derivatives, extrema, Taylor series);
determine the antiderivative of a function from R to R;
decompose a rational function into partial fractions;
solve elementary differential equations.
Content of UE
In Algebra 1: complex numbers; polynomials, matrices and systems of linear equations; vector spaces; linear maps;
In Analysis 1 : introduction to mathematical logic;
fonctions from R to R and from Rn to Rm;
limit and continuity in R and in Rn;
differentiability in R and in Rn;
Taylor series in R and in Rn;
extrema in R and in Rn;
antiderivatives and integrals in R;
elementary differential equations (separated variables, linear of the first order, Bernouilli, linear of order n with constant coefficients)
Prior Experience
Sans objet
Type of Assessment for UE in Q1
Q1 UE Assessment Comments
In Algebra 1 : During the session a halfday written exam on both parts (theory and exercises) accounts for 90% of the AA grade. The weighting of the two parts (theory and exercises) is equally divided. Continuous evaluation (remediation test, other tests) accounts for 10% of the AA grade.
In Analysis 1 : During the session, a halfday written exam involving both parts (theory and exercises) accounts for 90% of the AA grade. Continuous evaluation (remediation test, other tests) accounts for 10% of the AA grade.
Type of Assessment for UE in Q3
Q3 UE Assessment Comments
In Algebra 1 : During the session, written examination covering both parts (Exercices : 50 %  Theory : 50 %). This examination is organized the same halfday as Analysis 1.
In Analysis 1 : During the session, a written exam involving both parts (theory and exercises) accounts for 100% of the AA grade. This examination is organized the same halfday as Algebra 1.
Type of Resit Assessment for UE in Q1 (BAB1)
Q1 UE Resit Assessment Comments (BAB1)
In Algebra 1 : During the session, written examination covering both parts (Exercices : 50 %  Theory : 50 %).This catchup examination is organized the same halfday as Analysis 1.
In Analysis 1 : During the session, a written exam involving both parts (theory and exercises) accounts for 100% of the AA grade. This examination is organized the same halfday as Algebra 1.
Type of Teaching Activity/Activities
AA  Type of Teaching Activity/Activities 

IMARO020 

IMARO021 

Mode of delivery
AA  Mode of delivery 

IMARO020 

IMARO021 

Required Reading
AA  Required Reading 

IMARO020  
IMARO021 
Required Learning Resources/Tools
AA  Required Learning Resources/Tools 

IMARO020  Not applicable 
IMARO021  Not applicable 
Recommended Reading
AA  Recommended Reading 

IMARO020  Note de cours  Algèbre : Partie théorie  D. Tuyttens 
IMARO021  Note de cours  Mathématique pour l'Ingénieur 1  Analyse 1  Philippe Fortemps  Arnaud Vandaele 
Recommended Learning Resources/Tools
AA  Recommended Learning Resources/Tools 

IMARO020  Sans objet 
IMARO021  Not applicable 
Other Recommended Reading
AA  Other Recommended Reading 

IMARO020  Not applicable 
IMARO021  Not applicable 
Grade Deferrals of AAs from one year to the next
AA  Grade Deferrals of AAs from one year to the next 

IMARO020  Unauthorized 
IMARO021  Unauthorized 