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 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

• Written examination
• Remediation test

Q1 UE Assessment Comments

In Algebra 1 : During the session a half-day 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 half-day 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

• Written examination

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 half-day 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 half-day as Algebra 1.

Type of Resit Assessment for UE in Q1 (BAB1)

• Written examination

Q1 UE Resit Assessment Comments (BAB1)

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