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MAT240_1

History of Mathematics

This is the study programme for 2020/2021.


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.

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.

Contents

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).

Required prerequisite knowledge

None.

Recommended previous knowledge

MAT100 Mathematical Methods 1

Exam

Weight Duration Marks Aid
Written exam1/14 hoursA - FNo printed or written materials are allowed. Approved basic calculator allowed.

Course teacher(s)

Course coordinator
Alexander Ulanovskii
Course teacher
Alexander Ulanovskii
Head of Department
Bjørn Henrik Auestad

Method of work

6 hours per week - lectures and problem solving.

Overlapping courses

Course Reduction (SP)
The History of Mathematics (ÅMA240_1) 10

Open to

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Chemistry and Environmental Engineering - Bachelor's Degree Programme
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Petroleum Technology - Bachelor's Degree Programme
Environmental Engineering - Master of Science Degree Programme
Industrial economics - Master's Degree Programme
Industrial economics - Master's Degree Programme - 5 year
Industrial Automation and Signal Processing - Master's Degree Programme - 5 year
Robot Technology and Signal Processing - Master's Degree Programme
Mathematics and Physics, 5-year integrated Master's Programme
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Offshore Technology - Master's Degree Programme
Petroleum Engineering - Master of Science Degree Programme
Petroleum Engineering - Master`s Degree programme in Petroleum Engineering, 5 years
Technical Societal Safety - Master's Degree Programme
Mathematics - One-year programme

Course assessment

Form and/or discussion

Literature

Literatur will be published as soon as it has been prepared by the course coordinator/teacher


This is the study programme for 2020/2021.

Sist oppdatert: 22.09.2020

History