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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).

• 23:15, 28 January 2022 Wikiadmin talk contribs uploaded File:Root square.png
• 21:14, 28 January 2022 Wikiadmin talk contribs created page Properties of powers (Created page with "I was told at some numerical methods class that addition is a function. If you take a second look at powers, they are also a function. They are taking a number, another number and producing a third. Much like addition. Plotting graphs of <math>a^x</math> helps to see powers as functions. * <math class="big">a^m \cdot a^n = a^{m \ + \ n}</math>. Why not <math class="big">a^{m \cdot n}</math>? First because of the property below. <br /><br />Let's call <math class="big">...")
• 00:13, 28 January 2022 Wikiadmin talk contribs created page Properties of the real numbers (Created page with "There is some problem at school, which I don't know the cause, that is to give properties without proving anything. Some teachers are aware of this and give the proofs, but many others don't. Then when it comes to calculus and linear algebra people are faced with proofs and have no idea where to begin with. This is exactly what happened to me and around 75% of every other colleague that I knew. '''Note:''' I'm using more words than mathematical symbols because it's fast...")
• 20:30, 27 January 2022 Wikiadmin talk contribs deleted page File:Parametric complicated.png (Deleted old revision 20220127203041!Parametric_complicated.png)
• 20:30, 27 January 2022 Wikiadmin talk contribs uploaded a new version of File:Parametric complicated.png
• 00:37, 27 January 2022 Wikiadmin talk contribs created page File:Parametric piecewise.png
• 00:37, 27 January 2022 Wikiadmin talk contribs uploaded File:Parametric piecewise.png
• 00:30, 27 January 2022 Wikiadmin talk contribs created page File:Parametric complicated.png
• 00:30, 27 January 2022 Wikiadmin talk contribs uploaded File:Parametric complicated.png
• 00:05, 27 January 2022 Wikiadmin talk contribs created page Parametric curves (Created page with "Before I discuss parametric equations I want to talk about how some textbooks or even teachers may be, unintentionally, misleading. When textbooks introduce functions there is always the discussion that a function of one variable cannot be a circle, because by plotting a circle a function is assuming two different values for the same argument, which is not possible. Some textbooks present a graph similar to this: <div style="text-align:center;"> file:parametric_compl...")
• 18:02, 26 January 2022 Wikiadmin talk contribs created page File:Polar system conversion.png
• 18:02, 26 January 2022 Wikiadmin talk contribs uploaded File:Polar system conversion.png
• 03:45, 26 January 2022 Wikiadmin talk contribs created page File:Polar system.png
• 03:45, 26 January 2022 Wikiadmin talk contribs uploaded File:Polar system.png
• 22:06, 25 January 2022 Wikiadmin talk contribs created page Polar coordinates (Created page with "The '''Cartesian system of coordinates''', or rectangular coordinate, is the most widely known because it's the most common. We subdivide the plane with columns and rows and each position is located by knowing the column and row. At school most people should have had a teacher who compared the Cartesian system with the game Battleship or a chessboard. There is another system of coordinates called Polar coordinates that locates points with two coordinates: '''angle''' a...")
• 21:12, 25 January 2022 Wikiadmin talk contribs deleted page MediaWiki:Timeless.css (content was: "All CSS here will be loaded for users of the Timeless skin: li { margin-bottom: 1em; } .vector-body p { margin: 1em 0; } .big { font-size: 1.35em; }", and the only contributor was "0kelvin" (talk))
• 20:18, 25 January 2022 Wikiadmin talk contribs deleted page File:Limit two variables.png (Deleted old revision 20220125201811!Limit_two_variables.png)
• 20:18, 25 January 2022 Wikiadmin talk contribs uploaded a new version of File:Limit two variables.png
• 18:26, 25 January 2022 Wikiadmin talk contribs created page Updates (Created page with "'''Update 3''' * Explain linear approximation and the concept of the derivative being the best approximation of a function near a point * Conditions for differentiability * Polar coordinates * Parametric equations * Properties of limits * Notation of derivatives * Explains derivatives of higher orders * Chain rule * Where to add transcendental functions? * Explain the notation dy/dx (guidorizzi has it) * Limits at infinity, explain better than "Because x^2 grows without...")
• 14:46, 25 January 2022 Wikiadmin talk contribs uploaded a new version of File:0k logo.png
• 14:28, 25 January 2022 Wikiadmin talk contribs deleted page File:Limit paths.png (Deleted old revision 20220125142843!Limit_paths.png)
• 14:28, 25 January 2022 Wikiadmin talk contribs uploaded a new version of File:Limit paths.png
• 20:25, 24 January 2022 Wikiadmin talk contribs created page File:Derivative secant.png
• 20:25, 24 January 2022 Wikiadmin talk contribs uploaded File:Derivative secant.png
• 19:23, 24 January 2022 Wikiadmin talk contribs deleted page File:Derivative riserun.png (Deleted old revision 20220124192301!Derivative_riserun.png)
• 19:23, 24 January 2022 Wikiadmin talk contribs uploaded a new version of File:Derivative riserun.png
• 17:35, 24 January 2022 Wikiadmin talk contribs created page File:Derivative riserun.png
• 17:35, 24 January 2022 Wikiadmin talk contribs uploaded File:Derivative riserun.png
• 17:27, 24 January 2022 Wikiadmin talk contribs created page File:Derivative tangent.png
• 17:27, 24 January 2022 Wikiadmin talk contribs uploaded File:Derivative tangent.png
• 14:03, 24 January 2022 Wikiadmin talk contribs created page Mistakes regarding derivatives (Created page with "==Regarding the chain rule== * <math>\frac{d}{dx} \sin(x^2) \neq \cos(2x)</math>. This silly mistake is a result of misunderstanding the chain rule. Better say, from trying to memorize it without understanding it. The chain rule says that <math>f(g(x))' = g'(x)f'(g(x))</math> and not <math>f(g(x))' = f'(g'(x))</math>. The correct answer is: <math>2x \cos(x^2)</math> * <math>\frac{\partial}{\partial x} \sin(x + y) \neq \cos(x)</math>. * <math>\frac{\partial}{\partial x...")
• 03:42, 24 January 2022 Wikiadmin talk contribs created page Defining the derivative (Created page with "Before I discuss it I should point out one confusion that has happened to me. Every textbook discusses the problem of finding a tangent line before defining the derivative of a function. If you ever watched a video on that, maybe the music video ''"I'll derive"'', you should have witnessed a tangent line behaving like a roller-coaster, riding over the graph of a function. Careful there! The tangent line is one thing. The derivative of a function is not the tangent line!...")
• 03:02, 24 January 2022 Wikiadmin talk contribs created page File:Limit xybounded.png
• 03:02, 24 January 2022 Wikiadmin talk contribs uploaded File:Limit xybounded.png
• 03:02, 24 January 2022 Wikiadmin talk contribs created page File:Limit 1x.png
• 03:02, 24 January 2022 Wikiadmin talk contribs uploaded File:Limit 1x.png
• 00:53, 24 January 2022 Wikiadmin talk contribs created page File:Limit paths.png
• 00:53, 24 January 2022 Wikiadmin talk contribs uploaded File:Limit paths.png
• 02:49, 23 January 2022 Wikiadmin talk contribs created page MediaWiki:Timeless.css (Created page with "All CSS here will be loaded for users of the Timeless skin: li { margin-bottom: 1em; } .vector-body p { margin: 1em 0; } .big { font-size: 1.35em; } .mwe-math-fallback-image-inline { font-size: 1.15em; }")
• 23:10, 22 January 2022 Wikiadmin talk contribs created page File:Limit two variables.png
• 23:10, 22 January 2022 Wikiadmin talk contribs uploaded File:Limit two variables.png
• 23:09, 22 January 2022 Wikiadmin talk contribs created page Limit and continuity of a multivariable function (Created page with "The basic concept remains the same. However, with 2D things are more complicated than in 1D. In 1D you either walk forwards or backwards. In 2D you can circle around a point, meaning that, sometimes, the limit may not exist in one direction while it does exist in another. In 3D think about optical illusions. An object may appear continuous from one angle, yet it's discontinuous from another. One such example is the ''Penrose triangle''. For one variable we take one step...")
• 16:26, 22 January 2022 Wikiadmin talk contribs created page File:0k logo.png
• 16:26, 22 January 2022 Wikiadmin talk contribs uploaded File:0k logo.png
• 21:55, 21 January 2022 Wikiadmin talk contribs deleted page File:Dom ex0.png (Deleted old revision 20220121215521!Dom_ex0.png)
• 21:55, 21 January 2022 Wikiadmin talk contribs uploaded a new version of File:Dom ex0.png
• 21:55, 21 January 2022 Wikiadmin talk contribs undeleted page File:Dom ex0.png (1 revision and 1 file)
• 21:53, 21 January 2022 Wikiadmin talk contribs deleted page File:Dom ex0.png
• 21:52, 21 January 2022 Wikiadmin talk contribs created page Examples of domain of a multivariable function (Created page with "{| class="wikitable" |- | style="padding: 1em; text-align: center;" | file:dom_ex0.png || style="padding: 1em;"| <math>f(x,y) = xy</math>. Both <math>x</math> and <math>y</math> can assume any real value. Therefore the domain is <math>\mathbb{R}^2</math>. |- | style="padding: 1em; text-align: center;" | file:dom_ex1.png || style="padding: 1em;"| <math>f(x,y) = \sqrt{x} + \sqrt{y}</math>. It's analogous to a single variable. Domain is <math>\{(x, \ y) \in \mathbb{...")
• 21:36, 21 January 2022 Wikiadmin talk contribs created page Examples of domain of a single variable function (Created page with "{| class="wikitable" |- | style="padding: 1em;"> | <math>f(x) = x^2</math> || style="padding: 1em;" | There is no restriction to which numbers we can calculate the square of. Any rational or irrational will do. i.e. The domain is all real numbers. |- | style="padding: 1em;"> | <math>f(x) = \sqrt{x}</math> || style="padding: 1em;" | We all learn at school that roots of negative numbers are complex numbers. Therefore, the domain is <math>\{x \in \mathbb{R} : x \geq 0\}</ma...")