6 ECTS credits
170 h study time

Offer 1 with catalog number 1010534BNR for all students in the 1st semester at a (B) Bachelor - advanced level.

Semester
1st semester
Enrollment based on exam contract
Impossible
Grading method
Grading (scale from 0 to 20)
Can retake in second session
Yes
Enrollment Requirements
Inschrijvingsvereiste voor 'wiskunde:voortgezette analyse' : geslaagd zijn voor 'wiskunde: gevorderde analyse' en voor 'wiskunde:algebra,analyse en meetkunde'
Taught in
Dutch
Faculty
Faculteit Ingenieurswetenschappen
Department
Mathematics-TW
Educational team
Tomas Everaert (course titular)
Activities and contact hours

36 contact hours Lecture
42 contact hours Seminar, Exercises or Practicals
Course Content

This course is a continuation of "Mathematics : calculus and geometry".


Part I: Sequences and series of functions. Special cases: Power series and Fourier series. Application to approximation of functions. The Fourier transform.


Part II: Systems of ordinary differential equations; linear differential equations; differential equations with constant coefficients; solving differential equations using power series; first integrals; linear partial differential equations of order one; variational analysis and Euler's equations.

Part III: Elements of numerical analysis: solving systems of equations; interpolation; numerical differentiation and integration; differential equations

Part IV: working with MATLAB

Course material
Course text (Required) : Wiskunde: voortgezette analyse, Caenepeel - De Beule - Goyvaerts, VUB, 2220170008646, 2021
Course text (Required) : Wiskunde: voortgezette analyse, Oefeningen, Caenepeel - De Beule - Goyvaerts, VUB, 2220170007694, 2020
Additional info

Course material:

S. Caenepeel, Wiskunde: voortgezette analyse, VUB Uitgaven 136
S. Caenepeel, Oefeningen bij "Wiskunde: voortgezette analyse", VUB Uitgaven 116

Learning Outcomes

General competencies

The course is an advanced basic course, with an eye to applications in many other courses. We want to make the students familiar with some of the more advanced techniques from differential- and integral calculus. In the first place, the student should be aware of the possible applications to advanced problems in applied sciences. He should further develop his computational skills, and gain some insight in the conceptual and theoretical ideas behind these techniques. During the tutorials, a few problems within a realistic context are discussed, encouraging the students to explore and examine the problem, and then restate it as a mathematical problem.
These competences of this introductory course therefore agree with the Dublin descriptors of a bachelor education, namely the acquisition of knowledge and understanding building upon and superseding general secondary education, ability to apply this knowledge and understanding, development of the ability to gather and interpret relevant data, to communicate scientific information, and the development of learning skill, on basic level.

Grading

The final grade is composed based on the following categories:
Other Exam determines 100% of the final mark.

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

  • exam with a relative weight of 1 which comprises 100% of the final mark.

Additional info regarding evaluation
During an oral exam about the theoretical part, it will be tested to what extend the introduced concepts were introduced and absorbed. A written exam (open book) will focus on more practical skills: making computations, application to practical problems. Finally, there will be a computer exam on implementing numerical techniques using Matlab.
Oral exam: 45 % - Written exam: 45 % - Matlab 10 %.
Participation to the three partial exams is needed before a final grade can be awarded.
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:
Bachelor of Architectural Engineering: Standaard traject (only offered in Dutch)
Bachelor of Architectural Engineering: Verkort traject (only offered in Dutch)