3 ECTS credits
75 h study time

Offer 1 with catalog number 3023312ANR for all students in the 1st semester at a (A) Bachelor - preliminary level.

Semester
1st semester
Enrollment based on exam contract
Impossible
Grading method
Grading (scale from 0 to 20)
Can retake in second session
Yes
Taught in
English
Faculty
Faculteit Ingenieurswetenschappen
Department
Mathematics-TW
Educational team
Jan De Beule (course titular)
Activities and contact hours
13 contact hours Lecture
36 contact hours Independent or External Form of Study
Course Content

This course is aimed at students that attend a compulsory preparatory traject for a number of dedicated specialized masters in engineering sciences who lack mathematical knowlegde. This course is the third of three and deals with more advanced topics of

complex analysis of functions of one variable, including main topics such as integral transforms and its applications.

 

Contents

 

1.  Functions of one complex variable: analytic functions, theorem of Cauchy-Goursat, series of complex functions, including power series, Taylor series and Laurent series

2. Complex integration: singular points, poles, integration by the residue theorem and applications.

3. Integral transforms: Laplace transform, Fourriertransform and Z-transform, including appications.

Additional info

n.a.

Learning Outcomes

General Learning Outcomes

The student is acquires knowledge and understanding on elementary and more advanced techniques and results in the field of mathemtaical analysis that are very relevant for engineering sciences. The students knows how to apply the techniques to solve problems. Although the course focuses on problem solving and applying techniques and not on the theoretical framework, the student acquires sufficient understanding of the underlying mathematics to understand under which conditions the applied techniques may lead to a solution of the problem.

Grading

The final grade is composed based on the following categories:
Written Exam determines 70% of the final mark.
Other Exam determines 30% of the final mark.

Within the Written Exam category, the following assignments need to be completed:

  • Written exam with a relative weight of 1 which comprises 70% of the final mark.

    Note: One written exam with focus on problem solving and application of the acquired knowledge and techniques on mathematical exercises that are relevant for the remaining program of the students (70 %)

Within the Other Exam category, the following assignments need to be completed:

  • Perm. eval. with a relative weight of 1 which comprises 30% of the final mark.

    Note: permanent evaluation using project work 30%

Additional info regarding evaluation

One written exam with focus on problem solving and application of the acquired knowledge and techniques on mathematical exercises that are relevant for the remaining program of the students (70 %) +  permanent evaluation using project work 30%.

Allowed unsatisfactory mark
The supplementary Teaching and Examination Regulations of your faculty stipulate whether an allowed unsatisfactory mark for this programme unit is permitted.

Academic context

This offer is part of the following study plans:
Preparatory Programme Master of Science in Biomedical Engineering: International Students