Objectives of Programme's Learning Outcomes

• 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
• Select and thoroughly apply knowledge, methods and tools in arts, sciences, engineering sciences and construction to solve problems involving these disciplines
• Communicate in a structured way - visually, orally and in writing, in French and English - giving clear, accurate, and reasoned information
• Argue to and persuade a project owner, teachers and a board orally, with visual aids and in writing
• Use several methods of written and graphic communication: text, tables, equations, sketches, maps, graphs, etc.

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

• Oral examination
• Written examination
• Remediation test

Q1 UE Assessment Comments

In Algebra 1 : Written  examination on exercices (organized the same half-day as Analysis 1) : 45% Written theoretical
examination (organized the same half-day as Analysis 1) : 45 % Continuous evaluation (test of november,
written interrogations) : 10 %   In Analysis 1 : Written exam on exercises (organized during the same half-day as the written exam of Algèbra 1), weight : 45%
Oral exam on theory (organized during the same half-day as the oral exam of Algèbre 1), weight: 45% Continuous evaluation (remediation test, other tests): weight: 10%.  

Type of Assessment for UE in Q3

• Written examination

Q3 UE Assessment Comments

In Algebra 1 : Written examination covering both parts (Exercices : 50 % - Theory : 50 %).This examination is organized
the same hal-day as Analysis 1.   In Analysis 1 : Written examination covering both parts (theory - 50% and exercises - 50%), organized during the same half-day as the exam of Algèbra 1

Type of Resit Assessment for UE in Q1 (BAB1)

• Written examination

Q1 UE Resit Assessment Comments (BAB1)

In Alegbra 1 : Written examination covering both parts (Exercices : 50 % - Theory : 50 %).This examination is organized
the same hal-day as Analysis 1. <em>In Analysis 1 :</em> Written examination covering both parts (theory - 50% and exercises - 50%), organized during the same half-day as the  exam of Algèbra 1