Mathematics for computer sciences (part 1) [IHDCB121]

The general objectif of the lecture is to provide students with basics of mathematics, in particular to those who have been away from this area for a long time. Area of concern are  linear algebra and discrete mathematics.  

At the end of the cursus, students should 

• Use mathematical language in a correct manner,
• Be able to develop analytic ability in first order logic and boolean calculus,
• Master algorithms used to express coding,
• Be able to manipulate numerically different representations of numbers (integers, reals, complex numbers), 
• Be able to solve system of linear equations, 
• master matrix and vector algebra, 
• determine associated algebraic structure to any operation defined to any set. 

This lecture's content is divided into two main parts, i.e. discrete mathematics and linear algebra. 

In discrete mathematics, key concepts are 

• Introduction to first order logic
• Boolean calculus  
• Coding, and in particular linear coding
• Representation of numbers

In linear algebra, we are working with 

• algorithms to solve systems of linear equations, 
• matrix algebra, 
• vectorial spaces and algebraic structures in general.