Saint-Louis University - Bruxelles
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INGE1133 - Mathematics for Business Engineers I



Credits : 6

Lecturer :


Mode of delivery :
Face-to-face , first term, 52 hours of theory and 26 hours of exercises.

Language of instruction :
English

Learning outcomes :
After attending this course:
- the student is familiar with the concepts, insights, results and techniques of real analysis (one variable and an introduction to multiple variables) and basic linear algebra. Using this knowledge, he/she is capable of quantitatively formulating, examining and understanding simplified economical and business oriented problems,
- the student has gained a part of the knowledge needed to successfully follow the optimization and statistical courses and technology courses in the business engineering program,
- the student has practiced formulating and arguing in a correct and accurate way.

Prerequisites :
None

Co-requisites :
None

Course contents :
1. Building blocks
• Number sets
• Functions of one and multiple variables: definitions, graphical representations
• Sequences
2. Analysis 1
• Linear functions from Rn to Rm
• Limits of sequences
• Limits and continuity of functions
• Derivatives (and partial derivatives) of univariate and multivariate functions
• Taylor expansions
• Unbounded optimization problems for univariate and multivariate functions
• Numerical aspects
• Economical applications
3. Basic linear algebra
• Linear systems
• Matrix calculus
• Determinants


Planned learning activities and teaching methods :
Lectures and exercices

Assessment methods and criteria :
Type : Exam during the examination period
Description of evaluation : Written
Type of questions : Multiple choice, Open questions
Learning material : List of formulas, Calculator

The course is assessed by the teacher(s), as announced via Toledo and the examination schedule. The result is calculated and expressed as a whole number with a maximum of 20.

Exam features
- Written examination (type "closed book") with open questions (weight 75%) and multiple-choice questions (weight 25%). The mathematics formula sheet present in the course notes can be used. The use of a simple (non-graphical and non-programmable) calculator is permitted.
- In case of catch-up exams, the exam type may differ from the regular exam type (e.g., only open questions, oral examination, ...)

Recommended or required reading :
No recommended reading