Category Archives: matematik 1c

Den svenska gymansiekursen matematik 1c

Multiplication and additionprinciple

Publicerat den mars 14, 2013 av mattelararen

If you are in a situation where you have two make two consecutive choices and the first one can be selected from n alternatives and the second can be selected from m alternatives the total number of possible combinations is … Fortsätt läsa →

Publicerat i Gymnasiematematik(high school math), matematik 1c, matematik 4, matematik 5, Probability | Märkt , | Lämna en kommentar

Peculiar functions with descriptions

Publicerat den mars 10, 2013 av mattelararen

The cycloid describes the motion of a point on the perimeter of a wheel. The tractoria  (or tractrix) is a curve where the length of the tangent from the tangentialpoint to the x-axis has a constant length a. Its evolute is the … Fortsätt läsa →

Publicerat i Algebra, matematik 1c | Märkt | Lämna en kommentar

Diophantine equations

Publicerat den november 21, 2012 av mattelararen

A Diophantine equation is an equation in which only integers are allowed as coefficients. Also the solutions must be integers. This can be written as ax + by = c. This is a linear diophantine equation. For non-linar diophantine equations … Fortsätt läsa →

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

Regula de tri och ekvationer samt olikheter

Publicerat den november 15, 2012 av mattelararen

  Ekvationelösningens grunder visas i denna filmsnutt.   This is one of the most useful methods in mathematics when it comes to usefulness. It means ‘the rule of three’ and concerns computing the third un-known variable when the two others … Fortsätt läsa →

Publicerat i Gymnasiematematik(high school math), matematik 1c | 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

What is mathematics?

Publicerat den september 28, 2012 av mattelararen

Perhaps after 53 lectures it’s about time that I define what I mean with mathematics? Mathematics can be defined as the science dealing with quantities, numbers and geometrical objects in particular. It is characterised by its logical method which consists … Fortsätt läsa →

Publicerat i matematik 1c, Philosophy of Science | Märkt , , , , | 1 kommentar

factorization (faktorisering)

Publicerat den september 26, 2012 av mattelararen

Factorization means to decompose a number or polynomial into a product of other objects, called factors, which when multiplied together gives the original number or polynomial. Ex. The number 16 = 2*2*2*2 when factorized into prime numbers. Since prime-numbers can’t be factorized … Fortsätt läsa →

Publicerat i Gymnasiematematik(high school math), matematik 1c | Märkt , , | 2 kommentarer

Imaginary numbers

Publicerat den september 6, 2012 av mattelararen

A solution to the simple second-degree equation x2 + 1 =0 can not be found along the line of real-numbers. Therefore it was necessary to invent a fictive number i such that i2=-1. i.e. the imaginary numbers making it possible … Fortsätt läsa →

Publicerat i matematik 1c, matematik 4, matematik 5 | Märkt , , , | 2 kommentarer

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

Collinearity

Publicerat den juli 10, 2012 av mattelararen

Theorem: If A, B and C are collinear points, then the real numbers x, y, z not all zero can be found such that x + y + z = 0 xA + yB + zC = 0. and also … Fortsätt läsa →

Publicerat i matematik 1c, Uncategorized | Lämna en kommentar