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MM822: History of Mathematics (5 ECTS)

STADS: 15008901

Level
Master's level course

Teaching period
The course is offered in the autumn semester.
1st quarter

Teacher responsible

Email: jessica@imada.sdu.dk

Timetable

Group	Type	Day	Time	Classroom	Weeks
Common	I	Monday	12-14	U144	35-36
Common	I	Monday	12-14	U23a	38
Common	I	Wednesday	14-16	U103	35-39,41
Common	I	Thursday	10-12	U158f	37
Common	I	Thursday	10-12	U17	39
Common	I	Thursday	10-12	U89a	40
S1	TE	Tuesday	14-16	U49d	37
S1	TE	Tuesday	14-16	U23a	39-40
S1	TE	Thursday	10-12	U103	35,38,41
S1	TE	Thursday	10-12	U15	36
S1	TE	Friday	10-12	U14	37,39,41
S1	TE	Friday	10-12	U143	38
S1	TE	Friday	10-12	U91	40

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Comment:
Ubegrænset deltagerantal. 1. kvartal.

Prerequisites:
None

Academic preconditions:
The content of Rings and Number Theory, Topology B must be known.

Course introduction
To give the student an overview of the history of mathematics from ancient Civilizations to the 20th century. The course gives a more detailed insight to the following subjects: history of equations; the development of calculus; Euclidean and non-Euclidean geometry.

Expected learning outcome
After the course, the student is expected to be able to:

select and present relevant parts of the syllabus
put a piece of mathematics in an internal and external historical context
present certain methods that were used by previous mathematicians.

Subject overview
Numbers, magnitudes and real numbers. Greek geometry. History of equations. Pre -history of Calculus. The invention of Calculus: Newton and Leibniz. 18th- and 19th- Century Analysis. Euclidean and non-Euclidean geometry. The development of Algebra in the 18th- and 19th- Century. Aspects of Twentieth Century mathematics.

Literature

Meddeles ved kursets start.

Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
Oral exam, 7-point grading scale, external examiner.

Re-examination after 2nd quarter.
Re-exam only with internal examiner.

Expected working hours
The teaching method is based on three phase model.

Forelæsninger, antal timer: 24
Eksaminatorietimer/opgaveregning, antal timer: 22
Educational activities

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.