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

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• 11:23, 25 October 2021 Lila talk contribs created page The Riemann Integral (Created page with "== Licensing == Content obtained and/or adapted from: * [http://mathonline.wikidot.com/riemann-stieltjes-integrals Riemann-Stieltjes Integrals from mathonline.wikidot.com] un...")
• 13:07, 22 October 2021 Lila talk contribs created page Relative Extrema and Convex Functions (Created page with " http://mathonline.wikidot.com/convex-and-concave-functions")
• 13:06, 22 October 2021 Lila talk contribs created page Newton's Method (Created page with "In numerical analysis, '''Newton's method''', also known as the '''Newton–Raphson method''', named after Isaac Newton and Joseph Raphson, is a root-finding alg...")
• 09:29, 22 October 2021 Lila talk contribs created page Linear Differential Equations (Created page with "In mathematics, a '''linear differential equation''' is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives,...")
• 09:08, 22 October 2021 Lila talk contribs created page Homogeneous Differential Equations (Created page with "A differential equation can be '''homogeneous''' in either of two respects. A first order differential equation is said to be homogeneous if it may be written :<math...")
• 16:11, 21 October 2021 Khanh talk contribs created page Variation Of Parameters (2nd Order) (Created page with "In mathematics, '''variation of parameters''', also known as '''variation of constants''', is a general method to solve inhomogeneous linear ordinary differential equations....")
• 15:11, 21 October 2021 Lila talk contribs created page The Limit Theorems for Functions (Created page with "<h1 id="toc0">The Uniqueness of Limits of a Function Theorem</h1> <p>Recall from <a href="/the-limit-of-a-function">The Limit of a Function</a> page that for a function <math>...")
• 14:52, 20 October 2021 Lila talk contribs created page VariationOfParameters2Ord (Created page with "In mathematics, '''variation of parameters''', also known as '''variation of constants''', is a general method to solve inhomogeneous differential equation|inhomogeneous...")
• 14:35, 20 October 2021 Lila talk contribs created page Extrema of a Function (Created page with "thumb|Local and global maxima and minima for cos(3π''x'')/''x'', 0.1≤'' x ''≤1.1 In mathematical analysis, the '''maxima''' and...")
• 14:24, 20 October 2021 Lila talk contribs created page Derivatives of Functions with Inverses (Created page with "File:Umkehrregel 2.png|thumb|right|250px|Rule:<br><math>{\color{CornflowerBlue}{f'}}(x) = \frac{1}{{\color{Salmon}{(f^{-1})'}}({\color{Blue}{f}}(x))}</math><br><br>Example f...")
• 14:22, 20 October 2021 Lila talk contribs created page The Derivative (Created page with "thumb|The [[graph of a function, drawn in black, and a tangent line to that graph, drawn in red. The slope of the tangent line is equa...")
• 14:04, 20 October 2021 Lila talk contribs created page Neighborhoods in 𝐑 (Created page with "<h1 id="toc0">The Real Number Line</h1> <p>One way to represent the real numbers <math>\mathbb{R}</math> is on the real number line as depicted below.</p> <div class="image-co...")
• 13:25, 20 October 2021 Lila talk contribs created page Real Function Limits:Infinite (Created page with "==Informal Infinite Limits== Another kind of limit involves looking at what happens to <math>f(x)</math> as <math>x</math> gets very big. For example, consider the function <m...")
• 13:19, 20 October 2021 Lila talk contribs created page Real Function Limits:One-Sided (Created page with "In calculus, a '''one-sided limit''' is either of the two limits of a function ''f''(''x'') of a real v...")
• 13:07, 20 October 2021 Lila talk contribs created page Divergence Criteria (Created page with "<h1 id="toc0">The Divergence Criteria for Sequences</h1> <p>Thus far we have looked at criteria for sequences to be convergent. We will now begin to look at some criteria whic...")
• 12:55, 20 October 2021 Lila talk contribs created page Monotone Functions (Created page with "right|thumb|Figure 1. A monotonically non-decreasing function. Image:Monotonicity example2.svg|right|thumb|Figure 2. A monotonically non-...")
• 12:24, 20 October 2021 Lila talk contribs created page The Continuous Extension Theorem (Created page with " ==Resources== * [http://mathonline.wikidot.com/the-continuous-extension-theorem The Continuous Extension Theorem], mathonline.wikidot.com")
• 11:22, 20 October 2021 Lila talk contribs created page Uniform Continuity (Created page with "File:Continuity and uniform continuity 2.gif|thumb|upright=1.5|The graph of <math>f(x)=\tfrac1x</math> escapes the top and/or bottom of the <math>\text{height}\times \text{w...")
• 11:20, 20 October 2021 Lila talk contribs created page Lipschitz Functions (Created page with "File:Lipschitz Visualisierung.gif|thumb|right|For a Lipschitz continuous function, there exists a double cone (white) whose origin can be moved along the graph so that the w...")
• 10:35, 20 October 2021 Lila talk contribs created page Sequences:Tails (Created page with "<h1 id="toc0">The Tail of a Sequence of Real Numbers</h1> <p>We will now look at an important aspect of a sequence known as the tail of a sequence.</p> <table class="wiki-cont...")
• 09:56, 20 October 2021 Lila talk contribs created page Sequences:Limits (Created page with "In mathematics, the '''limit of a sequence''' is the value that the terms of a sequence "tend to", and is often denoted using the <math>\lim</math> symbol (e.g., <math...")
• 09:16, 20 October 2021 Lila talk contribs created page Real Function Limits:Sequential Criterion (Created page with "The Sequential Criterion for a Limit of a Function We will now look at a very important theorem known as The Sequential Criterion for a Limit which merges the concept of the l...")
• 19:09, 19 October 2021 Lila talk contribs created page Cluster Points in 𝐑 (Created page with "In mathematics, a '''limit point''' (or '''cluster point''' or '''accumulation point''') of a set <math>S</math> in a topological space <math>X</math...")
• 18:55, 19 October 2021 Lila talk contribs created page Real Numbers:Bounded Subsets (Created page with "Image:Bounded unbounded.svg|right|thumb|An artist's impression of a bounded set (top) and of an unbounded set (bottom). The set at the bottom continues forever towards the r...")
• 18:28, 19 October 2021 Lila talk contribs created page Functions:Operations (Created page with "===Operations=== Functions obey many of the same operations as normal numbers. However, one key difference is the domain of the function, which may change depending on the ope...")
• 15:43, 19 October 2021 Khanh talk contribs created page Inverse Laplace Transform (Created page with " In mathematics, the '''inverse Laplace transform''' of a function ''F''(''s'') is the piecewise-continuous and exponentially-restricted real function ''f''(''t'') which has t...")
• 15:26, 19 October 2021 Lila talk contribs created page Real Numbers:Irrational (Created page with "right|thumb|240px|The number [[Square root of 2|{{radic|2}} is irrational.]] In mathematics, the '''irrational numbers''' (from in-...")
• 15:13, 19 October 2021 Lila talk contribs created page Real Numbers:Rational (Created page with "thumb|The rational numbers (<math>\mathbb{Q}</math>) are included in the [[real numbers (<math>\mathbb{R}</math>), while themselves including the [...")
• 14:50, 19 October 2021 Lila talk contribs created page Real Numbers:Suprema and Infima (Created page with "Image:Infimum illustration.svg|thumb|right|250px|A set <math>P</math> of real numbers (hollow and filled circles), a subset <math>S</math> of <math>P</math> (filled circles)...")
• 13:12, 19 October 2021 Lila talk contribs created page Real Numbers:Absolute Value (Created page with "== Absolute Values == ''Absolute Values'' represented using two vertical bars, <math>\vert</math>, are common in Algebra. They are meant to signify the number's distance from...")
• 13:01, 19 October 2021 Lila talk contribs created page Real Numbers:Inequalities (Created page with "== Definition of Inequalities == As opposed to an equation, an '''inequality''' is an expression that states that two quantities are unequal or not equivalent to one another....")
• 12:42, 19 October 2021 Lila talk contribs created page Sigma Notation (Created page with "Summation notation allows an expression that contains a sum to be expressed in a simple, compact manner. The uppercase Greek letter sigma, Σ, is used to denote the sum o...")
• 11:40, 19 October 2021 Lila talk contribs created page Extreme values on closed and bounded domains (Created page with "<blockquote style="background: white; border: 1px solid black; padding: 1em;"> '''Extreme Value Theorem:''' If ''f'' is a continuous function and closed on the interval [<mat...")
• 09:49, 19 October 2021 Lila talk contribs created page Gradients (Created page with "File:Gradient2.svg|thumb|300px|The gradient, represented by the blue arrows, denotes the direction of greatest change of a scalar function. The values of the function are re...")
• 13:17, 18 October 2021 Lila talk contribs moved page Intro to Polynomial Functions to Polynomial Functions
• 10:20, 18 October 2021 Lila talk contribs moved page Algebraic graphing technics to Algebraic graphing techniques (Misspelled title)
• 16:38, 17 October 2021 Khanh talk contribs created page Taylor's Theorem (Created page with "File:Taylorspolynomialexbig.svg|thumb|right|300px|The exponential function ''y'' = ''e''^''x'' (red) and the corresponding Taylor polynomial of degree fo...")
• 15:56, 17 October 2021 Khanh talk contribs created page L'Hospital's Rules (Created page with " File:Hopital sin x by -0.5x.png|thumb|upright=1.5|Example application of l'Hôpital's rule to f(x) = sin(x) and g(x) = −0.5x: the function h(x) = f(x)/g(x) is undefined a...")
• 14:50, 17 October 2021 Khanh talk contribs created page Abel’s Theorem (Created page with "In mathematics, '''Abel's theorem''' for power series relates a limit of a power series to the sum of its coefficients. It is named after Norwegian mathematician Niels Henrik...")
• 22:34, 16 October 2021 Khanh talk contribs created page Real Numbers:Intervals (Created page with " thumb|400px|The addition ''x'' + ''a'' on the number line. All numbers greater than ''x'' and less than ''x'' + ''a'' fall within that open interval....")
• 21:55, 16 October 2021 Khanh talk contribs created page Real Numbers:Archimedean Property (Created page with "thumb|250px|Illustration of the Archimedean property. In abstract algebra and analysis, the '''Archimedean property''', named after the anci...")
• 21:17, 16 October 2021 Khanh talk contribs created page Adjusting claims and hypothesis (Created page with "=='''Line Graphs'''== {| style="padding:2px; text-align:center; float:right;" | thumb|An example of a comparative line graph. |} Line grap...")
• 20:49, 16 October 2021 Khanh talk contribs created page Weighted moving average graphs continued (Created page with "== Calculating the Mean == The mean, or more precisely the arithmetic mean, is simply the arithmetic average of a group of numbers (or '''data set''') and is shown using -bar...")
• 15:59, 16 October 2021 Khanh talk contribs created page Part-to-part ratios & Part-to-whole ratios (Created page with "thumb|right|Pie chart of populations of English native speakers A '''pie chart''' (or a '''circle chart''') is a circular statistical graph...")
• 15:35, 16 October 2021 Khanh talk contribs created page Weighted moving average graphs (Created page with "thumb|Smoothing of a noisy sine (blue curve) with a moving average (red curve). In statistics, a '''moving average''' ('''...")
• 15:00, 16 October 2021 Khanh talk contribs created page Index numbers (Created page with "thumb|The ratio of width to height of standard-definition television In mathematics, a '''ratio''' indicates how many times one number contains a...")
• 17:46, 15 October 2021 Khanh talk contribs created page Time series model of exponential growth (Created page with "thumb|250px|Time series: random data plus trend, with best-fit line and different applied filters|alt=|right In mathematics, a '''time s...")
• 16:21, 15 October 2021 Khanh talk contribs created page Euler's Number (Created page with " File:hyperbola E.svg|thumb|237px|right|Graph of the equation {{Math|1=''y'' = 1/''x''}}. Here, {{mvar|e}} is the unique number larger than 1 that makes the shaded area equa...")
• 14:19, 15 October 2021 Lila talk contribs created page The Mean Value Theorem (Created page with "== Formal statement == File:Mittelwertsatz3.svg|thumb|The function <math>f</math> attains the slope of the secant between <math>a</math> and <math>b</math> as the derivative...")
• 13:34, 15 October 2021 Lila talk contribs created page Techniques for Finding Derivatives (Created page with "== Techniques of Differentiation == <p> The definition of a derivative, <math>f'(x)=\lim_{{\Delta}x\rightarrow 0} \frac{f(x+{\Delta}x)-f(x)}{{\Delta}x}</math> is not the only...")

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