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

Recall, interpret and apply all the studied definitions and properties; recall, explain, justify and formalize demonstrations; manipulate the concepts of logic; exploit theoretical results;
In Algebra: solve systems of linear equations; calculate a distance, a norm, a scalar product; orthogonalize a matrix; calculate the eigenvalues and eigenvectors of a matrix;
In Analysis: integrate functions from Rn to Rm (with or without change of variables); compute line and surface integrals (including the use of vector analysis theorems); use power series to solve differential equations.

Content of UE

In Algebra: distances, norms and scalar products, orthogonal projections; eigenvalues and eigenvectors; properties of particular square matrices.
In Analysis: introduction to measure theory; multiple integrals (Fubini theorem, change of variables); line and surface integrals; vector analysis theorems (Green, Stokes and Ostrogradski); conservative fields; constrained optimization; numerical sequences and series; power series; power series for differential equations.

Prior Experience

Not applicable

Type of Assessment for UE in Q2

• Written examination

Q2 UE Assessment Comments

algèbre : Written examination covering both parts (Exercices : 45 % - Theory : 45 %).This examination is organized
out of session. Continuous evaluation (written interrogation) : 10 %   analyse : A written exam, 50% for theory and 50% for exercises  

Type of Assessment for UE in Q3

• Written examination

Q3 UE Assessment Comments

algèbre : Written examination covering both parts (Exercices : 50 % - Theory : 50 %).This examination is organized
the same hal-day as Analysis 2. analyse : Written examination covering both parts (theory - 50% and exercises - 50%), organized during the same half-day as the oral exam of Algèbre 2