Author Archives: mattelararen

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About mattelararen

Licentiate of Philosophy in atomic Physics Master of Science in Physics

Complex integral solved with Cauchy’s integral formula

Publicerat den november 6, 2012 av mattelararen

Arfken 6.4.4Arfken 6.4.4

Publicerat i Calculus, Imaginary numbers, Uncategorized | 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

Differential equations of the second order

Publicerat den oktober 23, 2012 av mattelararen

Second order differential equations of the homogen type y” (x)+ a y'(x) + by(x) = 0 are possible to solve with the aid of the characteristic equation r2 + a r +b =0 If this have the roots r1 and … Fortsätt läsa →

Publicerat i Calculus, matematik 4, matematik 5 | Märkt | 2 kommentarer

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

How to draw exceldiagrams

Publicerat den oktober 22, 2012 av mattelararen

My instruction video concerning drawing diagrams in Excel: http://www.youtube.com/watch?v=NSO04ELH4Qg

Publicerat i Uncategorized | 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

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

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