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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).

• 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
• 03:36, 24 February 2022 Wikiadmin talk contribs uploaded File:Intermediate value theorem.png
• 21:11, 23 February 2022 Wikiadmin talk contribs created page File:Mean value graph.png
• 21:11, 23 February 2022 Wikiadmin talk contribs uploaded File:Mean value graph.png
• 21:01, 22 February 2022 Wikiadmin talk contribs deleted page File:Rolle graph.png (Deleted old revision 20220222210052!Rolle_graph.png)
• 21:00, 22 February 2022 Wikiadmin talk contribs uploaded a new version of File:Rolle graph.png
• 20:42, 22 February 2022 Wikiadmin talk contribs created page File:Rolle graph.png
• 20:42, 22 February 2022 Wikiadmin talk contribs uploaded File:Rolle graph.png
• 17:12, 22 February 2022 Wikiadmin talk contribs created page File:Weierstrass graph.png
• 17:12, 22 February 2022 Wikiadmin talk contribs uploaded File:Weierstrass graph.png
• 23:55, 21 February 2022 Wikiadmin talk contribs created page Theorems covering limits and continuity of functions (Created page with "Depending on the teacher and on which type of calculus course it is being taught, those theorems may be left unproven because they require a level of abstraction that not everyone is familiar with. There is also a matter of time constrains. It's not always feasible to do the proofs. The theorems below always assume functions to be continuous, because if they aren't continuous in some interval we are unable to state many properties. There are always two different points...")
• 16:05, 21 February 2022 Wikiadmin talk contribs created page File:Limit formal continuity.png
• 16:05, 21 February 2022 Wikiadmin talk contribs uploaded File:Limit formal continuity.png
• 04:18, 20 February 2022 Wikiadmin talk contribs moved page Limit and continuity of a single variable function to Formal limit and continuity of a single variable function without leaving a redirect
• 04:00, 20 February 2022 Wikiadmin talk contribs created page Informal limit and continuity of a single variable function (Created page with "300px (not to scale) What does it mean to calculate a limit? The intuitive idea of a limit is that of a boundary. At some point in school we learn to solve inequalities and the answers are usually a range of values, such as [1, 7] or ]0, 2[. A closed interval means that the variable can assume any value close to it, including the boundary value itself. An open interval means that the variable can assume any value close to it, except for the boun...")
• 03:40, 19 February 2022 Wikiadmin talk contribs created page File:Differentiability stockmarket.png
• 03:40, 19 February 2022 Wikiadmin talk contribs uploaded File:Differentiability stockmarket.png
• 03:25, 19 February 2022 Wikiadmin talk contribs created page File:Differentiability case2.png