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Combined display of all available logs of Applied Science. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).

• 01:25, 20 January 2022 Wikiadmin talk contribs created page Guessing the graphs of single variable functions (Created page with "In calculus we learn that derivatives can help to plot the graphs of certain functions. However, sometimes we can use pure reasoning to have an idea of the graph without using a machine. The general idea is in fact relying on the very concept of a derivative. When you look at an equation and want to guess the graph without plotting it using a computer, what you have to do is to think about small variations in the function's argument. Do a mental exercise calculating the...")
• 01:25, 20 January 2022 Wikiadmin talk contribs deleted page Guessing the graph of single variable functions (content was: "In calculus we learn that derivatives can help to plot the graphs of certain functions. However, sometimes we can use pure reasoning to have an idea of the graph without using a machine. The general idea is in fact relying on the very concept of a derivative. When you look at an equation and want to guess the graph without plotting it using a computer, what you have to do is t...", and the only contributor was "0kelvin" (talk))
• 01:23, 20 January 2022 Wikiadmin talk contribs moved page Guessing the graph of multivariable functions to Guessing the graphs of multivariable functions
• 01:16, 20 January 2022 Wikiadmin talk contribs created page Calculus theory (Created page with "# Mistakes regarding algebra")
• 01:05, 20 January 2022 Wikiadmin talk contribs created page Differential and integral calculus (Created page with "I don't have a degree. I've found that I learn better if I write this site than burning myself over grades and exams. I was enrolled at a very large university pursuing a degree in applied sciences but it didn't work after long years and a ridiculous quantity of failures. I took the conscious decision to not care about grades or exams, but to care about the applications in life instead. I'd say that way over 50% of all students at university are so much worried with the...")
• 00:58, 20 January 2022 Wikiadmin talk contribs created page Level curves and level surfaces (Created page with "Why are level curves lines? Because functions of two variables are sheets with zero thickness. Extending it to three variables and the level surfaces are sheets with zero thickness. Going beyond to functions of four variables and thickness loses its meaning because what we define as thickness only makes sense when visualising 2D or 3D. To understand level curves one should learn the basic principles of analytical geometry first. If one understands how to plot parabolas...")
• 00:54, 20 January 2022 Wikiadmin talk contribs created page Guessing the graph of multivariable functions (Created page with "For the most part, if you understand the parabola, the straight line, sine and cosine, exponential and logarithm. Most graphs of functions in 3D are combinations of those. So a function can be a wave in one direction and another wave in the other direction. Or a parabola in one direction and another parabola in the other direction. It's not practical to plot such graphs on paper and most teachers won't ever ask you to plot such functions by hand. What we learn in calculu...")
• 00:51, 20 January 2022 Wikiadmin talk contribs created page Guessing the graph of single variable functions (Created page with "In calculus we learn that derivatives can help to plot the graphs of certain functions. However, sometimes we can use pure reasoning to have an idea of the graph without using a machine. The general idea is in fact relying on the very concept of a derivative. When you look at an equation and want to guess the graph without plotting it using a computer, what you have to do is to think about small variations in the function's argument. Do a mental exercise calculating the...")
• 00:44, 20 January 2022 Wikiadmin talk contribs created page Linear algebra and deforming graphs of functions (Created page with "In calculus we don't study linear transformations, but to deform a graph while keeping the roots of the equation, that's a concept that linear algebra studies more thoroughly. If you ever wondered at school why <math>x^2 - 6x + 5 = 0</math> and <math>3x^2 - 18x + 15 = 0</math> are two different equations and yet have the same roots. The reason for that lies in linear algebra. I don't remember the teachers that I had at high school ever mentioning this. '''Note:''' befor...")
• 00:31, 20 January 2022 Wikiadmin talk contribs created page Transforming the graph of functions (Created page with "Depending on how you learned (or even worse, you didn't learn at all!) functions at school, the graphs of functions can impose a certain degree of challenge. Addition, subtraction, multiplication and division. When we are solving equations we are mostly doing calculations without thinking on the graphical representation. With functions we can get a good grasp of how the graph changes when we do some simple operations. The textbooks that I know don't do much regarding tr...")
• 00:22, 20 January 2022 Wikiadmin talk contribs created page Graph of functions of one variable (Created page with " To understand why a graph is a straight line or it's a curve you don't need to understand calculus, but you need to understand the tangent. This page here is meant to give a very rough idea of the graphs. I'm not going to talk about inflection points, critical points and derivatives here. I'm also making the assumption that you understand the unit circle and you already know how to plot one point of a function. All you need to understand to plot one point of a function...")
• 00:05, 20 January 2022 Wikiadmin talk contribs created page Visualising the domain of a function (Created page with "= image dom__line.png width="50%" /= For functions of one variable the domain of a function is quite easy to plot. It's a number line. The function takes elements from the number line, processes them and produces another number line. For most of the time in a calculus course we are concerned with the real numbers. Complex numbers are usually left to a later stage. = image dom_plane.png width="50%" /= For two variables we are considering the who...")
• 00:00, 20 January 2022 Wikiadmin talk contribs created page Operations with functions (Created page with "Most textbooks have a section or chapter dedicated to proving the properties of real numbers. This is done because they are also true for functions and because the properties themselves are required to do the calculations. In linear algebra we learn what a vector space is and learn that functions can be considered a vector space because they have the same properties of one. In this page I'm going to show how to operate with functions. Better say, how to read operations...")
• 23:30, 19 January 2022 Wikiadmin talk contribs created page File:Levelcurve lines2.png
• 23:30, 19 January 2022 Wikiadmin talk contribs uploaded File:Levelcurve lines2.png
• 23:29, 19 January 2022 Wikiadmin talk contribs created page File:Levelcurve lines.png
• 23:29, 19 January 2022 Wikiadmin talk contribs uploaded File:Levelcurve lines.png
• 23:29, 19 January 2022 Wikiadmin talk contribs created page File:Levelcurve isotherms.png
• 23:29, 19 January 2022 Wikiadmin talk contribs uploaded File:Levelcurve isotherms.png
• 23:29, 19 January 2022 Wikiadmin talk contribs created page File:Levelcurve hyperbola.png
• 23:29, 19 January 2022 Wikiadmin talk contribs uploaded File:Levelcurve hyperbola.png
• 23:29, 19 January 2022 Wikiadmin talk contribs created page File:Levelcurve diamond.png
• 23:29, 19 January 2022 Wikiadmin talk contribs uploaded File:Levelcurve diamond.png
• 23:28, 19 January 2022 Wikiadmin talk contribs created page File:Levelcurve butterfly.png
• 23:28, 19 January 2022 Wikiadmin talk contribs uploaded File:Levelcurve butterfly.png
• 23:28, 19 January 2022 Wikiadmin talk contribs created page File:Levelcurve circle.png
• 23:28, 19 January 2022 Wikiadmin talk contribs uploaded File:Levelcurve circle.png
• 23:28, 19 January 2022 Wikiadmin talk contribs created page File:Graph waves.png
• 23:28, 19 January 2022 Wikiadmin talk contribs uploaded File:Graph waves.png
• 23:27, 19 January 2022 Wikiadmin talk contribs created page File:Graph unit circle.png
• 23:27, 19 January 2022 Wikiadmin talk contribs uploaded File:Graph unit circle.png
• 23:27, 19 January 2022 Wikiadmin talk contribs created page File:Graph tangent3.png
• 23:27, 19 January 2022 Wikiadmin talk contribs uploaded File:Graph tangent3.png
• 23:27, 19 January 2022 Wikiadmin talk contribs created page File:Graph tangent2.png
• 23:27, 19 January 2022 Wikiadmin talk contribs uploaded File:Graph tangent2.png
• 23:26, 19 January 2022 Wikiadmin talk contribs created page File:Graph tangent.png
• 23:26, 19 January 2022 Wikiadmin talk contribs uploaded File:Graph tangent.png
• 23:26, 19 January 2022 Wikiadmin talk contribs created page File:Graph square func.png
• 23:26, 19 January 2022 Wikiadmin talk contribs uploaded File:Graph square func.png
• 23:26, 19 January 2022 Wikiadmin talk contribs created page File:Graph precision.png
• 23:26, 19 January 2022 Wikiadmin talk contribs uploaded File:Graph precision.png
• 23:26, 19 January 2022 Wikiadmin talk contribs created page File:Graph ident func.png
• 23:26, 19 January 2022 Wikiadmin talk contribs uploaded File:Graph ident func.png
• 23:25, 19 January 2022 Wikiadmin talk contribs created page File:Graph high power.png
• 23:25, 19 January 2022 Wikiadmin talk contribs uploaded File:Graph high power.png
• 23:25, 19 January 2022 Wikiadmin talk contribs created page File:Graph exp log.png
• 23:25, 19 January 2022 Wikiadmin talk contribs uploaded File:Graph exp log.png
• 23:25, 19 January 2022 Wikiadmin talk contribs created page File:Graph 3D example.png
• 23:25, 19 January 2022 Wikiadmin talk contribs uploaded File:Graph 3D example.png
• 23:25, 19 January 2022 Wikiadmin talk contribs created page File:Function example4.png