Objectives of general skills

• 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.

UE's Learning outcomes

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.

UE Content

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