Development of some central concepts of modern mathematics: Numbers and number systems (Natural numbers, rational numbers, real numbers, cardinal numbers) from Babylon to Europe, the concept of infinity from Zeno to Cantor, integration and derivation (the concept of limit from Fermat to Weierstrass, Newton's fluctions, the infinitesimals from Leibniz to Robinson), infinite series. Classical algebra, including solutions of cubic and biquadratic equations.
Dette er emnebeskrivelsen for studieåret 2023-2024
Development of some central concepts in modern mathematics: Numbers and number systems (natural numbers, rational numbers, real numbers, cardinal numbers) from Babylon to Europe, infinity from Zeno to Cantor, integration and derivation (the limit concept from Fermat to Weierstrass, Newton's fluctions, the infinitesimals from Leibniz to Robinson), infinite seres. Development of Classical Algebra. Solution of polynomial equations from early times (Rhind papyrus, 1650 BCE) to Abel (1825) and Galois (1830).
Learning outcome
After comleting the course students should have a good general idea of the evolution of some of the major concepts of modern mathematics, such as
(i) numbers and their representations, (ii) derivation and integration, (iii) polynomial equations and their solutions.
Forkunnskapskrav
Ingen
Anbefalte forkunnskaper
Mathematical Methods 1 (MAT100)
Exam
Form of assessment
Weight
Duration
Marks
Aid
Exam system
Withdrawal deadline
Exam date
Written exam
1/1
4 Hours
Letter grades
No printed or written materials are allowed. Approved basic calculator allowed
There must be an early dialogue between the course supervisor, the student union representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital subject evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.