1st Bachelor in Industrial sciences (1st cycle-Industrial Engineers)

mathematics

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ECTS Credits8
Number of Hours (h/year)90
Teaching staffLibert, Thierry
PETRY, André
Course UnitCompulsory
TermQuad. 1 and 2
CodeTECH-BING0004/1
Prerequisite
  1. Algebra: algebraic calculation; first and second degree; systems of two and three first-degree equations.
  2.  Calculus: calculation of derivatives; studies of simple functions.

3.    Trigonometry and elementary plane analytic Geometry: straight line, circle

Aims and Objectives

Understanding and ability to use the mathematical notions and

tools which are the object of the course, in particular through

applications.

Acquire analysis ability, rigour and precision

Description

1. Logarithm, exponentials. Studies of functions and applications.

2. Algebra: vector spaces, matrix operations, linear equations systems.

3. Calculus: Infinitesimals and infinite numbers. Derivatives, differentials. Tangent line. Riemann integrals. First order differential equations, second order linear differential equations. Applications of these notions</SPAN< banner>

Bibliography

H.J. Keisler,  Foundations of Infinitesimal Calculus, Prindle, Weber and Schmidt, 1977.

H.J. Keisler, Elementary Calculus, Prindle, Weber and Schmidt, 1986.

A. Petry, A propos des tangentes à une courbe, une représentation non standard, Belgian Mathematical Society, décembre 2002, 155-16

Teaching and Learning MethodsLectures
Assessment MethodsWritten examinations
Oral examinations
NotesYes
LanguageFrench

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