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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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• 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...")
• 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...")
• 09:34, 15 October 2021 Lila talk contribs created page Multiple Integrals (Created page with "thumb|right|Integral as area between two curves. File:Volume under surface.png|right|thumb|Double integral as volume under a surface {{math...")
• 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...")
• 15:57, 14 October 2021 Lila talk contribs created page Cauchy Problem (Created page with "A '''Cauchy problem''' in mathematics asks for the solution of a partial differential equation that satisfies certain conditions that are given on a hypersurface in the domain...")
• 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...")
• 15:11, 14 October 2021 Lila talk contribs created page Theorem:Bolzano-Weierstrass (Created page with "===Theorem (Bolzano—Weierstrass)=== <blockquote style="background: white; border: 1px solid black; padding: 1em;">Every bounded sequence of real numbers contains a conve...")
• 14:52, 14 October 2021 Lila talk contribs created page Continuous Functions (Created page with "'''Continuity''' marks a new classification of functions, especially prominent when the theorems explained later on in this page will be put to use. However, if one is reading...")
• 14:14, 14 October 2021 Lila talk contribs moved page Cardinality:𝐍 to Cardinality of important sets (Too specific)
• 13:59, 14 October 2021 Lila talk contribs created page Cardinality:𝐍 (Created page with "Two important generalizations of natural numbers arise from the two uses of counting and ordering: cardinal numbers and ordinal numbers. * A natural number can be used to expr...")
• 13:19, 13 October 2021 Lila talk contribs created page Sets:Uncountable (Created page with "In mathematics, an '''uncountable set''' (or '''uncountably infinite set''')<ref name=":0">{{Cite web|last=Weisstein|first=Eric W.|title=Uncountably Infinite|url=https://m...")
• 13:01, 13 October 2021 Lila talk contribs created page Sets:Countable (Created page with "In mathematics, a '''countable set''' is a set with the same cardinality (number of elements) as some subset of the set of natural numbers. A countable set is either a finite...")
• 09:59, 13 October 2021 Lila talk contribs created page Real Numbers:Sequences (Created page with "==Definition== Sequences occur frequently in analysis, and they appear in many contexts. While we are all familiar with sequences, it is useful to have a formal definition....")
• 09:35, 13 October 2021 Lila talk contribs created page Functions:Restriction (Created page with "thumb|The function ''x''² with domain '''R''' does not have an [[inverse function. If we restrict ''x''² to the non-neg...")
• 14:49, 12 October 2021 Lila talk contribs created page The Least-squares Solution (Created page with "'''Ordinary least squares''' ('''OLS''') is a type of linear least squares method for estimating the unknown parameters in a linear regression model. OLS chooses the parameter...")
• 13:51, 12 October 2021 Lila talk contribs created page Recursion (Created page with "==Recursion in mathematics== thumb|250px|The [[Sierpinski triangle—a confined recursion of triangles that form a fractal]] ===Recursively d...")
• 13:03, 12 October 2021 Lila talk contribs created page Natural Numbers:Well-Ordering (Created page with "In mathematics, the well-ordering principle states that every non-empty set of positive integers contains a least element.[1] In other words, the set of positive integers is w...")
• 09:08, 12 October 2021 Lila talk contribs created page Functions:Forward Image (Created page with "File:Codomain2.SVG|thumb|upright=1.5|<math>f</math> is a function from domain <math>X</math> to codomain <math>Y.</math> The yellow oval inside <math>Y</math> is the image o...")
• 08:48, 12 October 2021 Lila talk contribs created page Real Numbers:Algebraic Properties (Created page with "===Some simple results=== At this point there are a large number of very simple results we can deduce about these operations from the axioms. Some of these follow, and some o...")
• 08:44, 12 October 2021 Lila talk contribs created page Real Numbers (Created page with "==Why we need the real numbers== This is a good juncture to justify the subject of real analysis, which essentially reduces to justifying the necessity of studying <math>\R</m...")
• 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...")
• 14:11, 8 October 2021 Lila talk contribs created page The Geometric Interpretation of the Determinant (Created page with "This parallelogram picture <center> x200px </center> is familiar from the construction of the sum of the two vectors. One way to compute the...")
• 14:02, 8 October 2021 Lila talk contribs created page Diagonalization of Matrices (Created page with "The prior subsection defines the relation of similarity and shows that, although similar matrices are necessarily matrix equivalent, the converse does not hold. Some matrix-eq...")
• 13:40, 8 October 2021 Lila talk contribs created page Orthonormal Bases and the Gram-Schmidt Process (Created page with "The prior subsection suggests that projecting onto the line spanned by <math> \vec{s} </math> decomposes a vector <math>\vec{v}</math> into two parts <center> <TABLE border=0p...")
• 13:12, 8 October 2021 Lila talk contribs created page The Dimension of a Vector Space (Created page with "In the prior subsection we defined the basis of a vector space, and we saw that a space can have many different bases. For example, following the definition of a basis, we saw...")

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