Key words
Applied mathematics
Objectives
- Developing analytic, synthetic and logical thinking capabilities.
- Developing concentration and persistency, accuracy.
- Acquire analytical problem solving thinking, foster self-confidence in doing so.
- Strive after mathematical accuracy.
- Apply language skills in a correct mannor; acquire an elementary technical English vocabulary.
- Nurture creativity.
- Acquire research skills, and self reliant and independent study skills.
- Master the available study package with the acquired self-reliant study skills.
- Acquire the necessary basic knowledge (concepts, techniques and methods) of discrete mathematics, analysis, descriptive statistics and probability, and to go about modern computer software judiciously in this field.
Topics
- Computer Algebra with Maple
- Applied statistics
* Descriptive statistics
* Combinatory
* Introduction to probability
- Linear Algebra I
* Matrices
* Determinants
* Solving systems of linear equations
- Discrete Mathematics I
* Boolean Algebra
* Introduction to logic.
- Analysis
* Functional analysis of real functions and applications.
* Differentials and applications
* The principal of differential equations
* The formula of Taylor and Maclaurin
* Primitives
* Logarithmic and exponential functions
* Integrals and applications
* Sequences and series
* Functions with several variables
Prerequisites
- The calculus of ratios, powers, roots and logarithms.
- The use of a scientific calculator.
- First and second-degree equations and functions.
- Angles, goniometric numbers and functions, basic formulas of goniometry.
Final Objectives
Materials used
Textbook of the lecturer - Alice TI CD-ROM – Maple CD – Blackboard.
Study costs
Copies and, or Alice TI CD: 30 euro
Study guidance
On the initiative of the student or the lecturer
Teaching Methods
Teaching, exercises, tutorial, research, guided private study (AIM-tests);
Individual and group presentations.
Assessment
FIRST SEMESTER : written examination + assignments: 50%
SECOND SEMESTER: written examination + assignments: 50%
SEPTEMBER : written examination: 100%
Lecturer(s)
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