6 ECTS credits
150 h study time

Offer 1 with catalog number 1015196BNR 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
Students must have followed ‘Linear Algebra’ and 'Mathematical Analysis I' and ' Mathematical Analysis II', before they can enroll for ‘Differential Geometry’.
Taught in
Dutch
Faculty
Faculty of Sciences and Bioengineering Sciences
Department
Mathematics
Educational team
Ann Dooms (course titular)
Activities and contact hours
26 contact hours Lecture
13 contact hours Seminar, Exercises or Practicals
Course Content
- Curves in Euclidean 3-space.
- Differentiable manifolds in Euclidean n-space.
- The differential geometry of surfaces in Euclidean 3-space.
Course material
Course text (Required) : Cursusnota's
Additional info

Course notes will be available with additional references to the following books, available in the library:

a) M.P. DO CARMO, Differential geometry of curves and surfaces, Prentice-Hall,
   Englewood Cliffs, New Jersey 1976.                              
b) J. McCLEARY, Geometry from a differentiable viewpoint, Cambridge
   University Press 1994.
c) A. PRESSLEY, Elementary Differential Geometry, Springer, London 2002.

Complementary study material:
d) E.D. BLOCH, A first course in geometric topology and differential geometry,
   Birkhäuser, Boston/Basel/Berlin 1997.
e) C.C. HSIUNG, A first course in differential geometry, Wiley, New York
   1981.
f) B. IVERSEN, Geometry of surfaces, Aarhus Lecture Notes Series No.63,    
   1994.
g) E. KREYSZIG, Differential geometry, Dover Inc., New York 1991
   (reprint of the 1963 edition)
h) D.J. STRUIK, Lectures on classical differential geometry, Dover
   Inc., New York 1988 (reprint of the 1961 edition)

Learning Outcomes

General competences

The course aims for a good knowledge of the concepts and techniques - and the ability to apply them - from the geometry of manifolds in Euclidean space. We focus in particular on the differential geometry of curves and surfaces in three-dimensional Euclidean space.

Grading

The final grade is composed based on the following categories:
Oral Exam determines 50% of the final mark.
Written Exam determines 50% of the final mark.

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

  • mondeling examen theorie with a relative weight of 1 which comprises 50% of the final mark.

    Note: Mondeling examen over de theorie (voor 50% van eindcijfer).

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

  • schriftelijk examen oefeningen with a relative weight of 1 which comprises 50% of the final mark.

    Note: Schriftelijk examen over de oefeningen (voor 50% van eindcijfer).

Additional info regarding evaluation

Oral examination of the theory, counting for 50%.
Written examination of problems, counting for 50%.

A student can only pass this course on the condition that he gets at least ten on one of the two parts of the exam. An absence on one of the parts of the exam implies an absence as the final result.

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 Physics and Astronomy: Default track (only offered in Dutch)
Bachelor of Mathematics and Data Science: Standaard traject (only offered in Dutch)