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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 16-18 U1 37-38
Common I Tuesday 14-16 U55 39-41,43-47,49
Common I Wednesday 14-16 U45 36
H1 TE Wednesday 12-14 U17 37-41,43-49
M1 TE Monday 14-16 U25a 37-38,41,44-48,50
M1 TE Monday 14-16 U145 39
M1 TE Monday 14-16 U156 40
M1 TE Tuesday 12-14 U155 43
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Comment:
Ubegrænset deltagerantal. Fælles undervisning DM535,Diskrete metoder til datalogi. Dette kursus undervises for studerende på studieretningen Matematik.

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.