Category Archives: Gymnasiematematik(high school math)

Probability

Publicerat den november 19, 2012 av mattelararen

The probability of a certan outcome of an experiment can be calculated as the quotient of the number of outcomes giving the desired result and the number of possible outcomes. P(A) = (number of outcomes giving the desired results)/ (number … Fortsätt läsa →

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

Polar rose

Publicerat den november 16, 2012 av mattelararen

An example of> polar coordinates >and the funny graphs you can draw with them. Here a >polar rose>.

Publicerat i Gymnasiematematik(high school math), matematik 4, Uncategorized | 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

Partial differential equations

Publicerat den oktober 25, 2012 av mattelararen

A Partial differential equation is a differential equation that contains unknown multivariable functions and their partial derivatives. They are used to formulate problems involving functions of several variables. They can either be solved by hand or used to create a relevant computer … Fortsätt läsa →

Publicerat i Calculus, Gymnasiematematik(high school math), matematik 4 | Märkt , , , , , , , , , , , , | 1 kommentar

Similarity

Publicerat den oktober 22, 2012 av mattelararen

Two triangles are similar if all the corresponding angles are equal. Then the ratios of the corresponding sides to each other are the same for both triangles. In the fig above AB/BC = DE/EF or AB/DE = BC/EF. A list … Fortsätt läsa →

Publicerat i Geometri, Gymnasiematematik(high school math), matematik 2c | Märkt , , , | Lämna en kommentar

Separable variables

Publicerat den oktober 21, 2012 av mattelararen

Differential equations of the form dy/dx = – P(x)/Q(y) then it is possible to separate the variables Q(y)dy = – P(x) dx → Q(y) dy + P(x) dx = 0 Ex y´+ sinx y = 0 y´ = -sinx y dy/y … Fortsätt läsa →

Publicerat i Calculus, Gymnasiematematik(high school math), matematik 4, Uncategorized | Märkt , | Lämna en kommentar

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

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

de Moivre’s formula and complex-conjugation.

Publicerat den september 10, 2012 av mattelararen

(e^ix )^n = cos(nx) + i sin(nx) is called de Moivre’s formula. The formula is named after the 17 th. century French huguenot mathematician Abraham de Moivre. Also the variable in of a function can be a complex number. f(z) … Fortsätt läsa →

Publicerat i Gymnasiematematik(high school math), Imaginary numbers, matematik 4, matematik 5 | Märkt , , , | Lämna en kommentar

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