Category Archives: Uncategorized

Differential equations

Publicerat den oktober 13, 2012 av mattelararen

An equation containing the derivative of a function is called a differential equation. Depending on the order of the derivatives it is of the first, second or higher order. The simplest differential equation is an ordinary linear homogenous differential equation of the first order: y’ + … Fortsätt läsa →

Publicerat i Calculus, Gymnasiematematik(high school math), Uncategorized | Märkt , , | 1 kommentar

Cylindrical coordinates

Publicerat den oktober 9, 2012 av mattelararen

Cylindrical coordinates can be considered as a hybrid between spherical coordinates and rectangular coordinates. The coordinates of a point is given by the angle between the projection of the point in the xy-plame Φ and two distances: the distance from the … Fortsätt läsa →

Publicerat i Geometri, Uncategorized | Märkt | Lämna en kommentar

Dimensions and different coordinate sytems

Publicerat den oktober 3, 2012 av mattelararen

The number of figures necessary for specifying the position of a point is called the dimension of the space. For a two dimensional space it is sufficient to use two numbers (x, y) : one specifying the position on a … Fortsätt läsa →

Publicerat i Algebra, Geometri, matematik 1c, Uncategorized | Märkt , | 1 kommentar

Chinas first aircraft-carrrier

Publicerat den september 26, 2012 av mattelararen
Publicerat i Technology, Uncategorized | Märkt , | Lämna en kommentar

Pascal’s triangle

Publicerat den september 22, 2012 av mattelararen

Numerology is an old phenomenon in many cultures. It is represented both in art an buildings. Buildings are constructed according tothe Golden Section and magical quadrats can be found in eg Albrect Durer’s painting ”Melancholy”. A substantial amount of mathematics is hidden in … Fortsätt läsa →

Publicerat i Uncategorized | Märkt , | 2 kommentarer

Exercises on the masterclass

Publicerat den augusti 22, 2012 av mattelararen
Publicerat i Uncategorized | 2 kommentarer

Zeno’s paradoxes

Publicerat den augusti 16, 2012 av mattelararen

Zeno of Elea It is impossible to arrive at any destination since at first you have to travel half the distance and then half the remaining distance and so on. This means you have to travel an infinite number of … Fortsätt läsa →

Publicerat i Gymnasiematematik(high school math), Uncategorized | Märkt , | 2 kommentarer

Masterclass in mathematics

Publicerat den augusti 5, 2012 av mattelararen

Last week I supervised a masterclass in mathematics for 18 -years olds at Spyken Gymnasium in Lund. The subject was plane euclidean geometry. Above is a picture of the participants.  Which includes memebers of the Swedish IMO team Rdio interview: … Fortsätt läsa →

Publicerat i Uncategorized | Märkt | Lämna en kommentar

Chord-tangent theorem

Publicerat den augusti 2, 2012 av mattelararen

The measure of the angle formed in the intersection between the chord of a circle and the tangent to the circle is the same as the angle at the periphery of the circle. Click here to se the proof

Publicerat i Geometri, Gymnasiematematik(high school math), matematik 1c, Uncategorized | Märkt , | Lämna en kommentar

Kurrebo, Urshult, An Eden in Sweden

Publicerat den juli 22, 2012 av mattelararen

Kurrebo, Urshult, An Eden in Sweden

The public garden and apple orchard in Urshult Sweden.
The northernmost applefarm in the world.With a fantastic roarium.

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Publicerat i Uncategorized | 3 kommentarer