Objectives of Programme's Learning Outcomes

• Understand the theoretical and methodological fundamentals in science and engineering to solve problems involving these disciplines
• Identify, describe and explain basic scientific and mathematical principles
• Select and rigorously apply knowledge, tools and methods in sciences and engineering to solve problems involving these disciplines
• Communicate in a structured way - both orally and in writing, in French and English - giving clear, accurate, reasoned information
• Argue to and persuade customers, teachers and a board both orally and in writing
• Use several methods of written and graphic communication: text, tables, equations, sketches, maps, graphs, etc.

Learning Outcomes of UE

In Linear 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, p
olynomials 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 Differential and Integral Calculation 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 Linear Algebra 1: Algebraic structures; Vector spaces; Linear maps;

In Differential and Integral Calculation 1 : 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)

The teaching methods are likely to be adjusted according to the educational context
imposed by the health measures.
 

Prior Experience

Not applicable

Type of Assessment for UE in Q1

• Written examination

Q1 UE Assessment Comments

In Linear Algebra 1 : During the session a half-day written  exam in person 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 (written test) accounts for 10% of the AA grade.

The evaluation procedures are likely to be adjusted according to
the educational/assessment context imposed by health measures.

In Differential and Integral Calculation 1 : The evaluation focuses on the understanding of the ex-cathedra course both
in theory and in exercises.
The evaluation methods are likely to be adjusted according to the context
imposed by the health measures.
- If the evaluation is organized physically:
A written exam accounting for 90% of the AA grade.
Continuous evaluation (remediation test, other tests) accounts for 10% of the AA grade.
- If the evaluation is organized remotely:
It consists of a written exam carried out in the form of a multiple choice
test via Moodle (limited time) with possible delivery of pictures of more
important mathematical developments (also in limited time).
In the event that a continuous evaluation has been carried out,
it will count for 10% of the AA grade and the exam via Moodle for 90%.
In the event that it has not been possible to carry out continuous evaluation,
the exam via Moodle will count for 100% of the mark.
In all cases (physically or remotely), if several parts are to
be completed during the evaluation, an exclusion mark (the final
mark is equal to the minimum mark of the different parts) will
possibly be introduced and announced before the exam (if so,
it will be announced before the exam).

Type of Assessment for UE in Q3

• Written examination

Q3 UE Assessment Comments

In Linear Algebra 1 : During the session, written examination in person covering both parts 
(Exercices : 50 % - Theory : 50 %). This examination is organized the same half-day as Differential and Integral Calculation 1.  

The evaluation procedures are likely to be adjusted according to
the educational/assessment context imposed by health measures.

In Differential and Integral Calculation1 : The evaluation focuses on the understanding of the ex-cathedra course both
in theory and in exercises.
The evaluation methods are likely to be adjusted according to the context
imposed by the health measures.
- If the evaluation is organized physically:
A written exam accounting for 90% of the AA grade.
Continuous evaluation (remediation test, other tests) accounts for 10% of the AA grade.
- If the evaluation is organized remotely:
It consists of a written exam carried out in the form of a multiple choice
test via Moodle (limited time) with possible delivery of pictures of more
important mathematical developments (also in limited time).
In the event that a continuous evaluation has been carried out,
it will count for 10% of the AA grade and the exam via Moodle for 90%.
In the event that it has not been possible to carry out continuous evaluation,
the exam via Moodle will count for 100% of the mark.
In all cases (physically or remotely), if several parts are to
be completed during the evaluation, an exclusion mark (the final
mark is equal to the minimum mark of the different parts) will
possibly be introduced and announced before the exam (if so,
it will be announced before the exam).
 

Type of Resit Assessment for UE in Q1 (BAB1)

• Written examination

Q1 UE Resit Assessment Comments (BAB1)

In Linear Algebra 1 : During the session, written examination in person covering both parts (Exercices : 50 % - Theory : 50 %).
This catch-up examination is organized the same half-day as Differential and Integral Calculation 1.  

The evaluation procedures are likely to be adjusted according to
the educational/assessment context imposed by health measures.

In Differential and Integral Calculation 1 :  The evaluation focuses on the understanding of the ex-cathedra course both
in theory and in exercises.
The evaluation methods are likely to be adjusted according to the context
imposed by the health measures.
- If the evaluation is organized physically:
A written exam accounting for 90% of the AA grade.
Continuous evaluation (remediation test, other tests) accounts for 10% of the AA grade.
- If the evaluation is organized remotely:
It consists of a written exam carried out in the form of a multiple choice
test via Moodle (limited time) with possible delivery of pictures of more
important mathematical developments (also in limited time).
In the event that a continuous evaluation has been carried out,
it will count for 10% of the AA grade and the exam via Moodle for 90%.
In the event that it has not been possible to carry out continuous evaluation,
the exam via Moodle will count for 100% of the mark.
In all cases (physically or remotely), if several parts are to
be completed during the evaluation, an exclusion mark (the final
mark is equal to the minimum mark of the different parts) will
possibly be introduced and announced before the exam (if so,
it will be announced before the exam).