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
Show entire timetable
Show personal time table for this course.

Comment:
Ubegrænset deltagerantal. Fælles undervisning med DM549 Diskrete metoder til datalogi og DM547 Diskret matematik

Prerequisites:
None.

Academic preconditions:
Students taking the course are expected to have A-level mathematics from high school.

Course introduction
The course gives the foundation for further studies in mathematics, since the students learn about logic and how to reason in mathematics. Moreover they are introduced to fundamental concepts such as sets, relations and functions.

The course forms the basis for all courses in the BA-degree in mathematics and applied mathematics as the students here learn the basic methods of proving in mathematics. The course also interrelates with the courses MM536 Calculus for mathematics as the students learn about the set theoretic definitions of core concepts used in analysis, and MM5xx Algebra 1, as they learn about equivalence relations which is a fundamental concept in algebra.

In relation to the competence profile of the degree it is the explicit focus of the course to:

• Give skills to formulate mathematical arguments
• Give knowledge and understanding of various core concepts from the foundations of mathematics such as sets and from number theory.

Expected learning outcome
As listed in the educations competency profile the course has explicit focus to give the students ability to formulate, go through and present mathematical arguments, as well as giving the ability to:

• formulate a statement in a logical correct way
• express yourself clearly and accurately
• prove mathematical statements by various proof methods such as a direct proof, indirect proof, use induction.
• use known concepts, results and techniques on known as well as new problems
• argue sufficiently for your solutions.

Subject overview
The following main topics are contained in the course:

• Logic
• Sets and cardinality
• Functions
• Proof techniques
• Number theory, prime numbers and congruence
• Relations, 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. 0 ECTS (13011912)
2. Written exam. All exam aids allowed, apart from internet. Evaluated by external marking 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
Educational form
Activities during the study phase: Students work in their study groups with fundamental concepts and techniques from the course.

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.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.