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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).

• 15:59, 25 March 2022 Wikiadmin talk contribs uploaded File:Critical points graph.png
• 01:51, 25 March 2022 Wikiadmin talk contribs created page Finding critical points of a function (Created page with "This part continues from where maximum and minimum points of a function left off. Now we deal with the specific case of <math>f''(x) = 0</math>.")
• 16:55, 24 March 2022 Wikiadmin talk contribs created page File:Extreme values graph3.png
• 16:55, 24 March 2022 Wikiadmin talk contribs uploaded File:Extreme values graph3.png
• 19:10, 22 March 2022 Wikiadmin talk contribs created page Finding extreme values of a function (Created page with "If a function is continuous, its rate of change is non-constant and there are intervals in which it's crescent and others where it's decrescent, a natural conclusion is to expect the rate of change to be zero somewhere. <math>f'(x) = 0</math> is a necessary but insufficient condition for a point to be a maximum or a minimum. It's insufficient because there are points where <math>f'(x) = 0</math> and yet that point is neither a maximum nor a minimum. The same concept appl...")
• 04:21, 22 March 2022 Wikiadmin talk contribs created page Parametrization of curves (Created page with "I've never seen this on a textbook, but it's possible to think on the process of parametrization of curves in terms of projected shadows. Suppose you have a moving object describing some curve on the plane. If we could have a projection of its shadow over a wall, one projection for each axis, we could see the shadow moving in one dimension, right or left over a straight line. Now the shadow in each wall would move faster or slower depending on the object's trajectory. Th...")
• 23:07, 21 March 2022 Wikiadmin talk contribs created page File:Extreme values graph2.png
• 23:07, 21 March 2022 Wikiadmin talk contribs uploaded File:Extreme values graph2.png
• 18:27, 21 March 2022 Wikiadmin talk contribs created page File:Extreme values graph.png
• 18:27, 21 March 2022 Wikiadmin talk contribs uploaded File:Extreme values graph.png
• 03:19, 21 March 2022 Wikiadmin talk contribs created page Extreme values of a function (Created page with "If a function is not constant a natural question is whether the function has a maximum value or a minimum value. In calculus we aren't concerned with physical barriers such as temperature going below zero kelvin or speed going beyond the speed of light. The function can have points where the maximum or minimum is local or global. It's important to say that when the limit at a point results in infinity, that point cannot be a maximum or minimum because infinity is not a n...")
• 23:15, 19 March 2022 Wikiadmin talk contribs created page File:Increasing decreasing graph.png
• 23:15, 19 March 2022 Wikiadmin talk contribs uploaded File:Increasing decreasing graph.png
• 18:00, 19 March 2022 Wikiadmin talk contribs created page Increasing and decreasing functions (Created page with "At school we learn to identify crescent and decrescent intervals of functions by inspecting their respective graphs. If the teacher explains the rate of change we can have a better understanding of it. Else we are left with the argument that the graph shows the obvious and no further explanations. What we don't learn is that a derivative is a tool that we need to prove that the function is crescent or decrescent in a certain interval. Case 1 the tangent is positive, wit...")
• 03:29, 18 March 2022 Wikiadmin talk contribs deleted page File:Implicit differentiation folium.png (Deleted old revision 20220318032827!Implicit_differentiation_folium.png)
• 03:28, 18 March 2022 Wikiadmin talk contribs uploaded a new version of File:Implicit differentiation folium.png
• 02:40, 18 March 2022 Wikiadmin talk contribs created page File:Implicit differentiation folium.png
• 02:40, 18 March 2022 Wikiadmin talk contribs uploaded File:Implicit differentiation folium.png
• 01:37, 16 March 2022 Wikiadmin talk contribs created page Implicit differentiation (Created page with "An explicitly defined function is of the form <math>y = f(x)</math>, such as <math>f(x) = x^2 + 2</math>. An implicitly defined function does not present the variables neatly to the right and to the left. For example: <math>x^2 + y^2 = 4</math>. It's not an equation of a function, it describes a circle according to analytical geometry. However, it does ''"hide"'' a function in it. We can isolate <math>y</math> to obtain <math>y = \pm \sqrt{x^2 + 1}</math>. Due to the cir...")
• 17:20, 14 March 2022 Wikiadmin talk contribs created page Criticism about some types of exercises (Created page with "There is a certain type of exercise that I don't think serves a purpose in teaching functions. In Stewart's textbook for example there is an applied project about using the derivatives to design a roller coaster. This type of exercise attempts to teach functions and calculus by applying it in a real life problem. However, there is a gap in its conceptualization. The applied project in the book tells you that you are designing a roller coaster and to do so you employ a qu...")
• 23:35, 13 March 2022 Wikiadmin talk contribs created page File:Chain rule graph.png
• 23:35, 13 March 2022 Wikiadmin talk contribs uploaded File:Chain rule graph.png
• 23:43, 11 March 2022 Wikiadmin talk contribs created page Chain rule for single variable functions (Created page with "The chain rule is, intuitively, a product of two derivatives. Suppose that we have a person walking at a speed of 2 m/s. Now suppose we have a train moving at 20 m/s in the same direction as the person. The train is obviously 10x faster than the walking person, if we are measuring in respect to the static ground. Now imagine that the person is walking at 2 m/s while inside the train moving at 20 m/s. What's the speed of the person? We have a physics problem here, because...")
• 23:42, 10 March 2022 Wikiadmin talk contribs created page File:Derivative trigonometric.png
• 23:41, 10 March 2022 Wikiadmin talk contribs uploaded File:Derivative trigonometric.png
• 23:41, 10 March 2022 Wikiadmin talk contribs deleted page File:Derivate trigonometric.png
• 23:39, 10 March 2022 Wikiadmin talk contribs created page File:Derivate trigonometric.png
• 23:39, 10 March 2022 Wikiadmin talk contribs uploaded File:Derivate trigonometric.png
• 03:58, 10 March 2022 Wikiadmin talk contribs created page Derivative of trigonometric functions (Created page with "When we have trigonometric functions, the derivatives are all related to the trigonometric identities. Let's plot sine, cosine and tangent on the same space: <div style="text-align:center;"> [[file:]] </div> Notice that close to the origin the tangent almost coincides with the sine. The rate of change of both functions invert its sign at the origin. The point where the sine is max is also the point where cosine is zero. The opposite is also true, where the cosine is ma...")
• 00:31, 8 March 2022 Wikiadmin talk contribs created page File:Derivative formula product.png
• 00:31, 8 March 2022 Wikiadmin talk contribs uploaded File:Derivative formula product.png
• 03:40, 6 March 2022 Wikiadmin talk contribs created page Introduction to computing (Created page with "The chapter order in here is similar to that of lectures given in a first semester of introduction to computing. In the first lectures the teaches describes the basic architecture of a computer, the fundamentals of input and output, without worrying about any technical specification such as clock, bits or memory amount. At this stage the focus is on understanding how the computer's logic functions by using a high level programming language. The low level and the algebra...")
• 01:58, 4 March 2022 Wikiadmin talk contribs created page Derivative formulas (Created page with "* <math>f(x) = c</math>. This is the most trivial derivative: <math>\lim_{x \ \to \ h} \frac{f(x + h) - f(x)}{h} = \frac{c - c}{h} = 0</math>. A constant function never changes its value. Therefore its rate of change is zero everywhere.")
• 22:52, 28 February 2022 Wikiadmin talk contribs created page File:Linear approximation error.png
• 22:52, 28 February 2022 Wikiadmin talk contribs uploaded File:Linear approximation error.png
• 16:45, 28 February 2022 Wikiadmin talk contribs created page File:Linear approximation example.png
• 16:45, 28 February 2022 Wikiadmin talk contribs uploaded File:Linear approximation example.png
• 03:44, 28 February 2022 Wikiadmin talk contribs created page Linear approximation for one variable (Created page with "Most textbooks explain the idea of finding the tangent line at a certain point of a function. The geometric idea is that if you consider a very small interval, the function can be approximated by a linear function. Linear means a constant rate of change. Some textbooks give the idea of zooming in a function's graph. If we take a parabola and zoom in enough, a small piece of it should be rendered as a straight line on a computer's screen. With calculus we are always plot...")
• 22:07, 27 February 2022 Wikiadmin talk contribs created page File:Limit asymptote.png
• 22:07, 27 February 2022 Wikiadmin talk contribs uploaded File:Limit asymptote.png
• 22:06, 27 February 2022 Wikiadmin talk contribs deleted page File:Limit atymptote.png
• 22:05, 27 February 2022 Wikiadmin talk contribs created page File:Limit atymptote.png
• 22:05, 27 February 2022 Wikiadmin talk contribs uploaded File:Limit atymptote.png
• 02:36, 25 February 2022 Wikiadmin talk contribs deleted page File:Cauchy mean value graph.png (Deleted old revision 20220225023641!Cauchy_mean_value_graph.png)
• 02:36, 25 February 2022 Wikiadmin talk contribs uploaded a new version of File:Cauchy mean value graph.png
• 02:23, 25 February 2022 Wikiadmin talk contribs created page File:Cauchy mean value graph.png
• 02:23, 25 February 2022 Wikiadmin talk contribs uploaded File:Cauchy mean value graph.png
• 16:34, 24 February 2022 Wikiadmin talk contribs deleted page File:Intermediate value theorem.png (Deleted old revision 20220224163421!Intermediate_value_theorem.png)
• 16:34, 24 February 2022 Wikiadmin talk contribs uploaded a new version of File:Intermediate value theorem.png
• 03:36, 24 February 2022 Wikiadmin talk contribs created page File:Intermediate value theorem.png