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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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• 12:39, 8 October 2021 Lila talk contribs created page The Column Space and Nullspace of a Linear Transformation (Created page with "Isomorphisms and homomorphisms both preserve structure. The difference is that homomorphisms needn't be onto and needn't be one-to-one. This means that homomorphisms are a mor...")
• 16:37, 7 October 2021 Lila talk contribs created page Applications of Derivatives (Created page with " ==Resources== * [https://mathresearch.utsa.edu/wikiFiles/MAT1193/Derivative%20Formulas/Presentation3b,4,5_Limits%20&%20Derivative%20Formulas.pptx Limits & Derivative Formulas...")
• 17:10, 6 October 2021 Khanh talk contribs created page Debt-to-income (DTI) ratios (Created page with "In the consumer mortgage industry, '''debt-to-income ratio''' (often abbreviated '''DTI''') is the percentage of a consumer's monthly gross income that goes toward paying debt...")
• 20:20, 3 October 2021 Khanh talk contribs created page Sets:Finite (Created page with "In mathematics (particularly set theory), a '''finite set''' is a set that has a finite number of elements. Informally, a finite set is a set which one could in principle cou...")
• 19:48, 3 October 2021 Khanh talk contribs created page Functions:Composition (Created page with "In mathematics, '''function composition''' is an operation that takes two functions {{math|''f''}} and {{math|''g''}} and produces a function {{math|''h''}} such that {{math|1...")
• 16:50, 3 October 2021 Khanh talk contribs created page Functions:Inverse Image (Created page with "The '''inverse image''' (or '''preimage''') of a given subset <math>B</math> of the codomain of <math>f,</math> is the set of all elements of the domain that map to the member...")
• 16:44, 3 October 2021 Khanh talk contribs created page Functions:Inverses (Created page with " Image:Inverse Function.png|thumb|right|A function {{mvar|f}} and its inverse {{math|''f''⁻¹}}. Because {{mvar|f}} maps {{mvar|a}} to 3, the inverse {{math|'...")
• 15:01, 3 October 2021 Khanh talk contribs created page Introduction to Determinants (Created page with "The determinant is a function which associates to a square matrix an element of the field on which it is defined (commonly the real or complex numbers). The determinant is req...")
• 14:49, 3 October 2021 Khanh talk contribs created page Dot Products and Orthogonality (Created page with "We first consider orthogonal projection onto a line. To orthogonally project a vector <math> \vec{v} </math> onto a line <math>\ell</math>, mark the point on the line at which...")
• 14:27, 3 October 2021 Khanh talk contribs created page Mathematical (Linear) relationships (Created page with "==Linear Relationship== We are going to start by looking at simple functions called '''linear equations'''. When none of the instances of x and y in the algebraic expressio...")
• 14:16, 3 October 2021 Khanh talk contribs created page The Sine Function (Created page with "==Sine and Cosine Graphs== And here in this graph, the colors we've chosen to draw the waves in have no relation to the frequency. Both waves have the same frequency, but we'v...")
• 13:52, 3 October 2021 Khanh talk contribs created page Ratios and percentages (Created page with "==Ratio== In mathematics, a '''ratio''' indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then t...")
• 13:29, 3 October 2021 Khanh talk contribs created page Graphical Display (Created page with "thumb|A pie chart showing the composition of the 38th Parliament of Canada. A '''chart''' is a graphical representation for data v...")
• 16:13, 2 October 2021 Lila talk contribs created page Piecewise Linear Function (Created page with "rightA piecewise function is a function that is given by different expressions on different intervals. The graph of <math>f(x) = \begin{cases} x^2, &...")
• 15:51, 2 October 2021 Lila talk contribs created page Sets:Cardinality (Created page with "==Infinite Sets and Cardinality== '''The Size of a Finite Set''' When deciding how large finite sets are, we generally count the number of elements in the set, and say two se...")
• 13:10, 1 October 2021 Lila talk contribs created page Two-dimensional coordinate systems (Created page with "==Two-Dimensional Vectors== ===Introduction=== In most mathematics courses up until this point, we deal with '''scalars'''. These are quantities which only need one number to...")
• 11:33, 1 October 2021 Lila talk contribs created page Proofs:Induction (Created page with "The beauty of induction is that it allows a theorem to be proven true where an infinite number of cases exist without exploring each case individually. Induction is analogous...")
• 11:21, 1 October 2021 Lila talk contribs created page Natural Numbers:Postulates (Created page with "==Peano's Axioms for the Natural Numbers== # 1 is a natural number. # For every natural number <math> n </math>, the successor to <math> n </math> (<math> n + 1 </math>) is al...")
• 10:51, 1 October 2021 Lila talk contribs created page Sets:Families (Created page with "A set of sets is usually referred to as a ''family'' or ''collection'' of sets. Often, families of sets are written with either a script or [http://en.wikipedia.org/wiki/Frakt...")
• 10:41, 1 October 2021 Lila talk contribs created page The First Derivative Test (Created page with "== The First Derivative Test == <p> The definition of a derivatives tells us that a derivative is the slope of the tangent line at a point on the function. </p> <p> Derivative...")
• 15:59, 30 September 2021 Lila talk contribs created page Mathematical Error (Created page with "At the time of writing this, the 'population clock' run by the USA states that there are 316,356,429 people living in the USA. However, many sources will say that the populati...")
• 16:52, 29 September 2021 Lila talk contribs created page Functions as Relations (Created page with "== Introduction == This article examines the concepts of a ''function'' and a ''relation''. A '''''relation''''' is any association or link between elements of one set, call...")
• 13:37, 29 September 2021 Lila talk contribs created page Subspaces of Rⁿ and Linear Independence (Created page with "One of the examples that led us to introduce the idea of a vector space was the solution set of a homogeneous system. For instance, we've seen in Linear Algebra/Definition a...")
• 12:59, 29 September 2021 Lila talk contribs created page Introduction to Linear Transformations (Created page with "A '''linear transformation''' is an important concept in mathematics because many real world phenomena can be approximated by linear models. Unlike a linear function, a line...")
• 12:58, 29 September 2021 Lila talk contribs created page The Inverse of a Linear Transformation (Created page with "A '''linear transformation''' is an important concept in mathematics because many real world phenomena can be approximated by linear models. Unlike a linear function, a line...")
• 12:36, 29 September 2021 Lila talk contribs created page Introduction to Vector Spaces (Created page with "A '''vector space''' (over <math>\R</math>) consists of a set <math>V</math> along with two operations "<math>+</math>" and "<math>\cdot</math>" subject to these conditions....")
• 16:54, 28 September 2021 Juan.gutierrez3 talk contribs created page Metric spaces (Created page with "<noinclude>{{navigation|Book=Topology |current=Metric Spaces |previous=Basic Concepts Set Theory |next=Topological Spaces}}</noinclude> ==Before we begin== {{TOC right}} Befo...")
• 14:31, 28 September 2021 Lila talk contribs created page Proofs:Quantifiers (Created page with "==Proving a statement with a universal quantifier== To prove a statement of the form :For all <math>x</math>, <math>P(x)</math> first ask the reader to pick an arbitrary const...")
• 14:11, 28 September 2021 Lila talk contribs created page Series (Created page with "Frequently in analysis it is useful to consider the sum of infinitely many numbers. So for some sequence of numbers (''a''_''n'') we may want to consider expression...")
• 09:54, 28 September 2021 Lila talk contribs created page Writing Mathematics (Created page with "== Parts of a Theorem == A [https://en.wikipedia.org/wiki/Theorem theorem] is a ''proven statement'' that was constructed using previously proven statements, such as theorems,...")
• 15:28, 27 September 2021 Lila talk contribs created page Equivalence Relations (Created page with "We have seen that certain common relations such as "=", and congruence (which we will deal with in the next section) obey some of these rules above. The relations we will deal...")
• 15:24, 27 September 2021 Lila talk contribs created page Relations (Created page with "== Introduction == This article examines the concepts of a ''function'' and a ''relation''. A '''''relation''''' is any association or link between elements of one set, call...")
• 14:44, 27 September 2021 Lila talk contribs created page Functions:Bijective (Created page with "A function is bijective if it is both injective and surjective. That is, a bijective function maps each element of the domain to a distinct element in the codomain, and every...")
• 14:37, 27 September 2021 Lila talk contribs created page Functions:Surjective (Created page with "A function is surjective, or "onto", if for all <math> b\in B </math>, there exists at least one <math> a\in A </math> such that <math> f(a) = b </math>; that is, every elemen...")
• 13:57, 27 September 2021 Lila talk contribs created page Functions:Injective (Created page with "A function <math> f: A\to B </math> is injective, or "one-to-one", if for all <math> a_1, a_2\in A </math>, <math> a_1 \neq a_2 </math> implies that <math> f(a_1) \neq f(a_2)...")
• 13:09, 27 September 2021 Juan.gutierrez3 talk contribs created page Test (Created page with "{{{{BOOKTEMPLATE}}/Page}} <noinclude>{{navigation|Book=Algebra |current=Order of Operations |previous=Arithmetic |next=Real_Numbers }}</noinclude> The '''''Order of Operation...")
• 12:01, 27 September 2021 Lila talk contribs created page Functions:Definition (Created page with "A function (or "mapping") is a relationship between two sets <math> A </math> and <math> B </math> that maps each input <math> a\in A </math> to exactly one output <math> b\in...")
• 22:54, 26 September 2021 Khanh talk contribs created page Periodic Function (Created page with "A '''periodic function''' is a function that repeats its values at regular intervals, for example, the trigonometric functions, which repeat at intervals of 2π radians. Peri...")
• 22:25, 26 September 2021 Khanh talk contribs created page Linear and Exponential Models (Created page with "* [https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:exponential-growth-decay/x2f8bb11595b61c86:exponential-vs-linear-growth/v/linear-exponential-models Exponential v...")
• 22:20, 26 September 2021 Khanh talk contribs created page Logistic Growth Model (Created page with "thumb|320px|right|Standard logistic sigmoid function where <math>L=1,k=1,x_0=0</math> A '''logistic function''' or '''logistic curve''' is a commo...")
• 22:14, 26 September 2021 Khanh talk contribs created page Carrying Capacity and Logistic Growth Rate (Created page with "* [https://math.libretexts.org/Bookshelves/Calculus/Book%3A_Calculus_(OpenStax)/08%3A_Introduction_to_Differential_Equations/8.4%3A_The_Logistic_Equation The Logistic Equation...")
• 22:04, 26 September 2021 Khanh talk contribs created page Weighted averages (Created page with "The '''weighted arithmetic mean''' is similar to an ordinary arithmetic mean (the most common type of average), except that instead of each of the data points contributing equ...")
• 21:50, 26 September 2021 Khanh talk contribs created page Conversions (Created page with "* [https://www.khanacademy.org/math/geometry-home/geometry-volume-surface-area/geometry-volume-rect-prism/v/conversion-between-metric-units Conversion Between Metric Units], K...")
• 21:39, 26 September 2021 Khanh talk contribs created page Probability (Created page with "thumb|250px|The probabilities of rolling several numbers using two dice. '''Probability''' is the branch of mathematics concerning numeri...")
• 21:14, 26 September 2021 Khanh talk contribs created page Standard Deviation (Created page with "* [https://www.youtube.com/watch?v=IaTFpp-uzp0 How To Calculate The Standard Deviation], The Organic Chemistry Tutor * [https://www.youtube.com/watch?v=Uk98hiMQgN0 Standard De...")
• 21:05, 26 September 2021 Khanh talk contribs created page Mean and Central Limit Theorem (Created page with "In probability theory, the '''central limit theorem''' ('''CLT''') establishes that, in many situations, when independent random variables are summed up, their properly normal...")
• 20:58, 26 September 2021 Khanh talk contribs created page Sampling (Created page with "* [https://courses.lumenlearning.com/math4libarts/chapter/sampling-methods/ Sampling Methods], Lumen Learning * [https://www.khanacademy.org/math/statistics-probability/design...")
• 20:46, 26 September 2021 Khanh talk contribs created page First-degree equation involving percentages (Created page with "* [https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-percent-problems/v/solving-percent-problems Solving Percent Problems], Khan Academy * [...")
• 20:35, 26 September 2021 Khanh talk contribs created page Data (Created page with "Data are individual facts, statistics, or items of information, often numeric, that are collected through observation. In a more technical sense, data are a set of values of q...")
• 20:12, 26 September 2021 Khanh talk contribs created page Inverse functions and the identity function (Created page with "* [https://www.youtube.com/watch?v=kWorj5BBy9k Inverse Matrices and Their Properties], video by Professor Dave Explains * [https://www.khanacademy.org/math/algebra-home/alg-ma...")

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