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Dansk English

MM537: Introduction to Mathematical Methods (5 ECTS)

STADS: 13011901

Level
Bachelor course

Teaching period
The course is offered in the autumn semester.

Teacher responsible
Email: lenem@imada.sdu.dk

Timetable
Group Type Day Time Classroom Weeks Comment
Common I Tuesday 14-16 U140 37,39-41,43-47
Common I Wednesday 08-10 U110 48
Common I Thursday 14-16 U47 1
Common I Thursday 10-12 U140 36-39,41
M1 TE Monday 14-16 U156 38-40,43
M1 TE Tuesday 08-10 *Odense Lokalitet aftales 10 41,46 SF MM537 M1
M1 TE Wednesday 12-14 U148 39 SFV MM537 M1
M1 TE Thursday 08-10 U13 37 SFV MM537 M1
M1 TE Thursday 10-12 U72 44 SFV MM537 M1
M1 TE Thursday 10-12 *Odense Lokalitet aftales 11 44 SFV MM537 M1
M1 TE Thursday 10-12 U131 48
M1 TE Friday 10-12 U155 37-41,43-49
M2 TE Monday 10-12 U156 48 SFV MM537 M2
M2 TE Tuesday 10-12 U49C 38-40,43
M2 TE Wednesday 14-16 U44 37 SFV MM537 M2
M2 TE Wednesday 08-10 *Odense Lokalitet aftales 10 41,46 SF MM537 M2
M2 TE Wednesday 12-14 U131 44 SFV MM537 M2
M2 TE Thursday 08-10 U131 39 SFV MM537 M2
M2 TE Friday 08-10 U144 37-41,43-49
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Comment:
Ubegrænset deltagerantal. Undervises fælles med DM547 Diskret matematik og DM549 Diskrete metoder til datalogi

Prerequisites:
None

Academic preconditions:
None.

Course introduction
The course will teach techniques fundamental to the practice of mathematical reasoning.

Qualifications
Reasoning.

Expected learning outcome
At the end of the course, the student is expected to be able to:

  • Formalise statements in a logically correct way
  • Express themselves in a mathematical precise way
  • Apply methods of proofs such as direct proof, indirect proof and proof by induction to prove statements within the syllabus of the course.Use concepts, results and techniques learned in the course on known as well as new concrete problems
  • Argue for steps in proofs and solutions of problems
Subject overview
  • Logic
  • Sets and cardinality
  • Functions
  • Proof techniques: direct proof,indirect proof, proof by contradiction and proof by induction.
  • Number theory, including divisors, primes and congruences.
  • Matrices: addition, multiplication and transpose.
  • Relations, including different representations of representations, closures, order- and equivalence relations.
Literature
    Meddeles ved kursets start.


Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
  1. Mandatory assignments, evaluated by internal censorship on a pass/fail basis. (13011912)
  2. Written exam, evaluated by external examiner by the danish 7 mark scale (5 ECTS. (13011902)
Expected working hours
The teaching method is based on three phase model.
Intro phase: 24 hours
Skills training phase: 24 hours, hereof:
 - Tutorials: 24 hours

Educational activities Study phase: 10 hours

Language
This course is taught in Danish or English, depending on the lecturer. However, if international students participate, the teaching language will always be English.

Remarks
The course is taught together with Discrete methods in Computer Science.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.