All public logs

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).

(newest | oldest) View (newer 50 | older 50) (20 | 50 | 100 | 250 | 500)

• 10:40, 8 November 2021 Lila talk contribs created page Convergent Sequences in Metric Spaces (Created page with "===Limits of Sequences in Metric Spaces=== <p>Recall that if a sequence of real numbers <span class="math-inline"><math>(x_n)_{n=1}^{\infty} = (x_1, x_2, ..., x_n, ...)</math>...")
• 10:11, 8 November 2021 Lila talk contribs created page Open Sets and Closed Sets in Metric Spaces (Created page with "<h1 id="toc0"><span>Open and Closed Sets in Metric Spaces</span></h1> A set <span class="math-inline"><math>S \subseteq \mathbb{R}^n</math></span> is said to be open if <span...")
• 09:27, 8 November 2021 Lila talk contribs created page Suprema, Infima, and the Completeness Property (Created page with "<blockquote style="background: white; border: 1px solid black; padding: 1em;"> <td><strong>Definition:</strong> Let <span class="math-inline"><math>S</math></span> be a set th...")
• 08:50, 8 November 2021 Lila talk contribs created page Bounded sets in Higher Dimensions (Created page with "<h1 id="toc0"><span>Bounded Sets</span></h1> <p>Consider the set <span class="math-inline"><math>\mathbb{N} = \{ 1, 2, 3, ... \}</math></span>. As you might imagine, there is...")
• 15:21, 7 November 2021 Khanh talk contribs created page Properly Divergent Sequences (Created page with "Recall that a sequence <math>(a_n)</math> of real numbers is said to be <strong>convergent</strong> to the real number <math>A</math> if <math>\forall \epsilon > 0</math> ther...")
• 14:18, 7 November 2021 Khanh 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> File:Real numbe...")
• 14:47, 6 November 2021 Khanh talk contribs created page Cluster Points (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> is a point <math>x</math...")
• 07:43, 3 November 2021 Lila talk contribs created page Stokes' Theorem (Created page with "thumb|right|An illustration of Stokes' theorem, with surface {{math|Σ}}, its boundary {{math|∂Σ}} and the normal vector {{mvar|n}}. '''Stok...")
• 07:23, 3 November 2021 Lila talk contribs moved page Subspaces of Rⁿ and Linear Independence to Subspaces of Rn and Linear Independence
• 22:59, 30 October 2021 Khanh talk contribs created page Complex Population Growth and Decay Models (Created page with "==Propotionality== thumb|300x300px|The variable ''y'' is directly proportional to the variable ''x'' with proportionality constant ~0.6. ...")
• 10:25, 29 October 2021 Lila talk contribs created page Power Series Solutions (Created page with "In mathematics, the '''power series method''' is used to seek a power series solution to certain differential equations. In general, such a solution assumes a po...")
• 10:20, 29 October 2021 Lila talk contribs created page Laplace Transform to ODEs (Created page with "In mathematics, the Laplace transform is a powerful integral transform used to switch a function from the time domain to the Laplace transform#s-domain equiv...")
• 17:45, 28 October 2021 Lila talk contribs created page Linear Independence of Functions (Created page with "<p>If we have an <math>n^{\mathrm{th}}</math> order linear homogenous differential equation <math>\frac{d^ny}{dt^n} + p_1(t) \frac{d^{n-1}y}{dt^{n-1}} + ... + p_{n-1}(t) \frac...")
• 17:03, 28 October 2021 Lila talk contribs created page Linear Tranformations (Created page with "http://mathonline.wikidot.com/linear-transformations")
• 16:48, 28 October 2021 Lila talk contribs created page Euclidean Spaces: Algebraic Structure and Inner Product (Created page with "==Licensing== Content obtained and/or adapted from: * [http://mathonline.wikidot.com/euclidean-n-space Euclidean n-Space, mathonline.wikidot.com] under a CC BY-SA license * [h...")
• 16:43, 28 October 2021 Lila talk contribs created page Power Series and Analytic Functions (Created page with "==Power Series== http://mathonline.wikidot.com/power-series == Operations on power series == === Addition and subtraction === When two functions ''f'' and ''g'' are decompos...")
• 16:11, 28 October 2021 Lila talk contribs created page Continuous Vector Functions (Created page with "http://mathonline.wikidot.com/continuity-of-vector-valued-functions")
• 16:06, 28 October 2021 Lila talk contribs created page Limits of Vector Functions (Created page with "http://mathonline.wikidot.com/limits-of-vector-valued-functions")
• 12:32, 27 October 2021 Lila talk contribs created page Uniform Convergence of Series of Functions (Created page with "==Pointwise Convergent and Uniformly Convergent Series of Functions== <p>Recall that a sequence of functions <math>(f_n(x))_{n=1}^{\infty}</math> with common domain <math>X</m...")
• 11:08, 27 October 2021 Lila talk contribs created page Uniform Convergence of Sequences of Functions (Created page with "<td><strong>Definition:</strong> An <strong>Infinite Sequence of Functions</strong> <math>(f_n(x))_{n=1}^{\infty} = (f_1(x), f_2(x), ..., f_n(x), ...)</math> is a sequence of...")
• 15:07, 26 October 2021 Lila talk contribs moved page Variation Of Parameters (2nd Order) to Variation Of Parameters
• 14:37, 26 October 2021 Lila talk contribs moved page Method of Undetermined Coefficients (2nd Order) to Method of Undetermined Coefficients
• 14:24, 26 October 2021 Lila talk contribs created page Method of Undetermined Coefficients (2nd Order) (Created page with "In mathematics, the '''method of undetermined coefficients''' is an approach to finding a particular solution to certain nonhomogeneous ordinary differential equations and...")
• 13:14, 26 October 2021 Lila talk contribs moved page Lindeloff Theorem to Lindelöf Theorem (Misspelled title)
• 12:50, 26 October 2021 Lila talk contribs created page Lindeloff Theorem (Created page with "<h1 id="toc0">Lindelöf and Countably Compact Topological Spaces</h1> <p>Recall from the <a href="/compactness-of-sets-in-a-topological-space">Compactness of Sets in a Topolog...")
• 12:24, 26 October 2021 Lila talk contribs created page Properties of the Integral (Created page with "==Properties== ===Linearity=== The collection of Riemann-integrable functions on a closed interval {{math|[''a'', ''b'']}} forms a vector space under the operations of ...")
• 16:53, 25 October 2021 Lila talk contribs created page Exact Differential Equations (Created page with "==Definition== Given a simply connected and open subset ''D'' of '''R'''² and two functions ''I'' and ''J'' which are continuous on ''D'', an implicit first-order o...")
• 14:28, 25 October 2021 Lila talk contribs created page Metric Spaces (Created page with "In mathematics, a '''metric space''' is a set together with a metric on the set. The metric is a function (math...")
• 14:26, 25 October 2021 Lila talk contribs created page Distance Functions, Metrics (Created page with "thumb|200px|An illustration comparing the [[Taxicab geometry|taxicab metric to the Euclidean metric on the plane: According to the taxicab metr...")
• 14:22, 25 October 2021 Lila talk contribs created page Topological Spaces (Created page with "In mathematics, a '''topological space''' is, roughly speaking, a geometrical space in which ''closeness'' is defined but cannot n...")
• 14:19, 25 October 2021 Lila talk contribs created page Heine-Borel Theorem (Created page with "In real analysis the '''Heine–Borel theorem''', named after Eduard Heine and Émile Borel, states: For a subset ''S'' of Euclidean space '''R'''<sup>''n...")
• 14:05, 25 October 2021 Lila talk contribs created page Algebraic Structure of the Real Numbers (Created page with "In mathematics, a '''real number''' is a value of a continuous quantity that can represent a distance along a line (or alternatively, a quantity th...")
• 13:58, 25 October 2021 Lila talk contribs created page Closed Subsets in Higher Dimensions (Created page with "In geometry, topology, and related branches of mathematics, a '''closed set''' is a set whose complement is an ...")
• 13:56, 25 October 2021 Lila talk contribs moved page Open Subsets in Higher Dimensions to Open Subsets
• 13:54, 25 October 2021 Lila talk contribs created page Open Subsets in Higher Dimensions (Created page with "right|thumb|Example: The blue [[circle represents the set of points (''x'', ''y'') satisfying {{math|1=''x''² + ''y''² = ''r...")
• 13:52, 25 October 2021 Lila talk contribs created page Limit Points (or Cluster Points) in Higher Dimensions (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...")
• 13:49, 25 October 2021 Lila talk contribs moved page Distance Between Two Points in the Real Numbers to Distance Between Two Points
• 13:47, 25 October 2021 Lila talk contribs created page The Nested Interval Theorem for the Real Numbers (Created page with "thumb|400px|4 members of a sequence of nested intervals In mathematics, a sequence of '''nested intervals''' is understood as a...")
• 13:41, 25 October 2021 Lila talk contribs created page Limit of a sequence in the Real Numbers (Created page with "File:Archimedes pi.svg|350px|right|thumb|alt=diagram of a hexagon and pentagon circumscribed outside a circle|The sequence given by the perimeters of regular ''n''-sided [[p...")
• 13:38, 25 October 2021 Lila talk contribs created page Distance Between Two Points in the Real Numbers (Created page with "thumb|upright=1.35|Using the Pythagorean theorem to compute two-dimensional Euclidean distance In mathematics, the '''Euclidean distance...")
• 13:34, 25 October 2021 Lila talk contribs created page Cauchy-Schwarz Formula (Created page with "The '''Cauchy–Schwarz inequality''' (also called '''Cauchy–Bunyakovsky-Schwarz inequality''')<ref>{{cite web|url=https://mathshistory.st-andrews.ac.uk/Biographies/Schwarz/...")
• 12:19, 25 October 2021 Lila talk contribs created page The Fundamental Theorem (Created page with "The '''fundamental theorem of calculus''' is a theorem that links the concept of differentiating a function (calculating the grad...")
• 11:27, 25 October 2021 Lila talk contribs created page The Darboux Integral (Created page with "In real analysis, a branch of mathematics, the '''Darboux integral''' is constructed using '''Darboux sums''' and is one possible definition of the integral of a [...")
• 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>...")

(newest | oldest) View (newer 50 | older 50) (20 | 50 | 100 | 250 | 500)