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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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• 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....")
• 15:43, 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...")
• 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...")
• 12:42, 15 October 2021 Khanh talk contribs created page Proportionality vs. Linearity (Created page with " thumb|300x300px|The variable ''y'' is directly proportional to the variable ''x'' with proportionality constant ~0.6. File:Inverse propo...")
• 19:42, 14 October 2021 Khanh talk contribs created page Optimization Applications (Created page with " ==Introduction== Optimization is one of the uses of calculus in the real world. Perhaps we are a pizza parlor and wish to maximize profit. Perhaps we have a flat piece of car...")
• 16:10, 14 October 2021 Khanh talk contribs created page Absolute change (additive reasoning) & Relative change (multiplicative reasoning) (Created page with "=Measuring Errors= In this lesson we will learn how to quantify errors. Learning objectives * identify true and relative true errors * identify approximate and relative appro...")
• 15:20, 14 October 2021 Khanh talk contribs created page Continuous Growth (Created page with "File:Exponential.svg|thumb|300px|right|The graph illustrates how exponential growth (green) surpasses both linear (red) and cubic (blue) growth. {{legend|green|Exponential g...")
• 00:36, 12 October 2021 Khanh talk contribs created page Univariate, Bivariate, Correlation and Causation (Created page with "==Univariate Data== In mathematics, a '''univariate''' object is an expression, equation, function or polynomial involving only one variable. Objects involving more than one...")
• 00:26, 12 October 2021 Khanh talk contribs created page Geometric interpretation of interpolation (Created page with "In the mathematical field of numerical analysis, '''interpolation''' is a type of estimation, a method of constructing (finding) new data points based on the range of a discre...")
• 22:26, 10 October 2021 Khanh talk contribs created page Depreciation (Created page with "thumb|380px|An asset depreciation at 15% per year over 20 years In accountancy, '''depreciation''' refers to two aspects of the same concept: fir...")
• 21:41, 10 October 2021 Khanh talk contribs created page Regression (Created page with "==Regression== Regression analysis is the process of building a model of the relationship between variables in the form of mathematical equations. The general purpose is to e...")
• 21:24, 10 October 2021 Khanh talk contribs created page Simple and Compound Interest (Linear and Exponential Models) (Created page with "'''Interest''', in finance and economics, is payment from a borrower or deposit-taking financial institution to a lender or depositor of an amount above repayment of the princ...")
• 01:17, 9 October 2021 Khanh talk contribs created page Proportional reasoning (Created page with "== Vocabulary == '''Ratio:''' The comparison of two numbers. '''Reciprocal:''' The multiplicative inverse of a number -- when the numerator and denominator of a fraction are...")
• 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...")
• 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...")
• 16:35, 26 September 2021 Khanh talk contribs created page Critical Points of a Function (Created page with "400px|thumb|right|The abscissae ("x-coordinates") of the red circles are stationary points; the blue squares are inflection points. '...")
• 16:17, 26 September 2021 Khanh talk contribs created page Continuity of functions with two variables (Created page with "https://openstax.org/books/calculus-volume-3/pages/4-2-limits-and-continuity Limits and Continuity], OpenStax")

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