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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).

Logs
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  • 17:02, 23 September 2021 Lila talk contribs created page Linear and Absolute Value Inequalities (Created page with "==Resources== * [https://openstax.org/books/college-algebra/pages/2-7-linear-inequalities-and-absolute-value-inequalities Linear Inequalities and Absolute Value Inequalities],...")
  • 17:30, 22 September 2021 Khanh talk contribs created page Tangent Lines and Derivatives (Created page with "220px|right|thumb|Tangent to a curve. The red line is tangential to the curve at the point marked by a red dot. In geometry, the '''tangent li...")
  • 17:13, 22 September 2021 Khanh talk contribs created page Average (Created page with "* [https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:average-rate-of-change-word-problems/a/average-rate-of-change-review Average rate of...")
  • 17:10, 22 September 2021 Khanh talk contribs created page Equation of a Line (Created page with "* [https://www.youtube.com/watch?v=gvwKv6F69F0 Equation of a Line], Khan Academy * [https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb...")
  • 17:06, 22 September 2021 Khanh talk contribs created page Rates of Change (Created page with "In mathematics, a '''rate''' is the ratio between two related quantities in different units.[1] If the denominator of the ratio is expressed as a single unit of one of these q...")
  • 16:25, 22 September 2021 Khanh talk contribs created page Conditional Probability (Created page with " In probability theory, '''conditional probability''' is a measure of the probability of an event occurring, given that another event (by assumption, presumption, assertion or...")
  • 15:14, 22 September 2021 Khanh talk contribs created page Payout Annuities (Created page with "==Resources== * [https://courses.lumenlearning.com/math4libarts/chapter/payout-annuities/ Payout Annuities], Lumen Learning")
  • 13:17, 22 September 2021 Lila talk contribs created page Remainder and Factor Theorem (Created page with "The polynomial division algorithm is as follows: suppose d(x) and p(x) are nonzero polynomials where the degree of p(x) is greater than or equal to the degree of d(x). Then th...")
  • 11:34, 22 September 2021 Lila talk contribs created page Integrating Factor (Created page with "When solving first order linear differential equations of the form <math> \frac{dy}{dx} + p(x)y = g(x) </math>, we can utilize the "integrating factor" <math> \mu\(x\)</math>...")
  • 10:42, 22 September 2021 Lila talk contribs created page Rational Equations (Created page with "Rational equations are equations containing rational expressions (or expressions with fractions that contain real numbers and/or variables). Some examples of rational equation...")
  • 10:14, 22 September 2021 Lila talk contribs created page Graph of equations (Created page with "==Resources== * [https://math.libretexts.org/Courses/Lumen_Learning/Book%3A_Beginning_Algebra_(Lumen)/02%3A_Graphing/2.02%3A_The_Coordinate_Plane The Coordinate Plane], Lumen...")
  • 10:07, 22 September 2021 Lila talk contribs created page Proofs:Direct (Created page with "==Resources== * [https://link-springer-com.libweb.lib.utsa.edu/content/pdf/10.1007%2F978-1-4419-7127-2.pdf Course Textbook], pages 53-57")
  • 10:07, 22 September 2021 Lila talk contribs created page Mathematical Proofs (Created page with "==Resources== * [https://link-springer-com.libweb.lib.utsa.edu/content/pdf/10.1007%2F978-1-4419-7127-2.pdf Course Textbook], pages 47-53")
  • 16:55, 21 September 2021 Lila talk contribs created page Systems of Inequalities in Two Variables (Created page with "A system of inequalities in two variables consists of two or more inequalities with the same two variables, typically x and y. These systems can have zero solutions, one solut...")
  • 16:30, 21 September 2021 Lila talk contribs created page Radical & Rational Exponent (Created page with "The principal nth root of a is written as <math> \sqrt[n]{a} </math>, where n is a positive integer greater than or equal to 2. In the radical expression, n is called the inde...")
  • 16:17, 21 September 2021 Lila talk contribs created page Sentential Logic (Created page with "==Resources== * [https://link-springer-com.libweb.lib.utsa.edu/book/10.1007%2F978-1-4419-7127-2 Course Textbook], pages 15-45 * [http://discrete.openmathbooks.org/dmoi2/sec_pr...")
  • 13:57, 21 September 2021 Lila talk contribs created page Statements (Created page with "==Resources== * [https://link-springer-com.libweb.lib.utsa.edu/content/pdf/10.1007%2F978-1-4419-7127-2.pdf Course Textbook], pages 4-25")
  • 17:56, 20 September 2021 Lila talk contribs created page Derivatives of Products and Quotients (Created page with "===Product Rule=== Let <math> f(x) </math> and <math> g(x) </math> be differentiable functions. Then, the derivative of their product, <math> f(x)g(x) </math>, is <math> \fra...")
  • 17:04, 20 September 2021 Lila talk contribs created page The Cross Product (Created page with "The cross product is an operation between two 3-dimensional vectors that returns a third vector orthogonal (i.e., perpendicular) to the first two. For vectors <math> u = \lang...")
  • 13:33, 20 September 2021 Lila talk contribs created page Laplace Transform (Created page with "==Resources== * [https://tutorial.math.lamar.edu/classes/de/LaplaceIntro.aspx Laplace Transforms], Paul's Online Notes")
  • 12:59, 20 September 2021 Lila talk contribs created page Complex Numbers (Created page with "A complex number is a number of the form <math> a + bi </math> where <math> a </math> is the real part of the complex number, and <math> bi </math> is the imaginary part of th...")
  • 12:23, 20 September 2021 Lila talk contribs created page Slope (Created page with "===Slope Between Two Points=== Given two points <math> (x_1, y_1) </math> and <math> (x_2, y_2) </math>, the slope m between these two points is <math> m = \frac{y_2 - y_1}{x...")
  • 12:08, 20 September 2021 Lila talk contribs created page Scientific Notation (Created page with "Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form...")
  • 22:57, 17 September 2021 Khanh talk contribs created page Limits Involving Infinity (Created page with "==Limits involving infinity== ===Limits at infinity=== thumb|300px|The limit of this function at infinity exists. Let <math>S\subseteq\mathbb...")
  • 22:44, 17 September 2021 Khanh talk contribs created page One-Sided Limits (Created page with "File:X^2+sign(x).svg|thumb|350px|The function ''f''(''x'') = ''x''<sup>2</sup> + sign(''x'') has a left limit of -1, a right limit of +1, and a function value of 0 at the po...")
  • 22:37, 17 September 2021 Khanh talk contribs created page Linear Functions (Created page with "Solving Linear Equations Examples: * [https://www.youtube.com/watch?v=bsGyJ0GeRy8 Example 1]. Produced by TA Catherine Sporer, UTSA * [https://www.youtube.com/watch?v=nGZcfHQ...")
  • 22:33, 17 September 2021 Khanh talk contribs created page Quadratic Equations (Created page with "==Resources== * [https://mathresearch.utsa.edu/wikiFiles/MAT1053/Quadratic_Functions/MAT1053_M2.2Quadratic_Functions.pdf Quadratic Functions], Book Chapters * [https://mathres...")
  • 22:24, 17 September 2021 Khanh talk contribs created page Graphs of Functions (Created page with "right|thumb|250px| Graph of the function <math>f(x) = x^3 - 9x.</math> In mathematics, the '''graph''' of a function <math>f</math> is the set...")
  • 20:22, 17 September 2021 Lila talk contribs created page Linear Homogeneous Equations (Created page with "Homogeneous linear differential equations take the form <math> P_{n}(x)y^{(n)} + P_{n-1}(x)y^{(n-1)} + ... + P_{2}(x)y^{(2)} + P_{1}(x)y^{(1)} </math> ==Resources== * [https:/...")
  • 20:06, 17 September 2021 Lila talk contribs created page Initial Value Problem (Created page with "With initial value problems, we are given a differential equation, and one or more points (depending on the order of the equation) to solve the constants in the general soluti...")
  • 19:20, 17 September 2021 Lila talk contribs created page Solutions of Differential Equations (Created page with "A solution of a differential equation is an expression of the dependent variable that satisfies the relation established in the differential equation. For example, the solutio...")
  • 17:24, 17 September 2021 Lila talk contribs created page Exponential and Logarithmic Equations (Created page with "==Resources== * [https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:logs/x2ec2f6f830c9fb89:exp-eq-log/a/solving-exponential-equations-with-logarithms Solving Exponent...")
  • 16:36, 17 September 2021 Lila talk contribs created page The inverse sine, cosine and tangent functions (Created page with "<math> sin(x) = \theta \to arcsin(\theta) = x</math> ==Resources== * [https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-solve-for-an-angle/a/inverse-trig-functions...")
  • 16:12, 17 September 2021 Lila talk contribs created page Finding Roots of an Equation (Created page with "==Resources== In mathematics, the roots of a function are the x-values that make y = 0. For example, the roots of the polynomial <math> y = x^2 - 4 </math> are 2 and -2, since...")
  • 16:02, 17 September 2021 Lila talk contribs created page Implicit and explicit equations (Created page with "In mathematics, an implicit equation is a relation of the form {{math|1=''R''(''x''<sub>1</sub>, …, ''x<sub>n</sub>'') = 0}}, where {{mvar|R}} is a function of several varia...")
  • 15:03, 17 September 2021 Khanh talk contribs created page Basic Physics (Mass, Force, Work, Newton's Second Law, Hooke's Law) (Created page with "==Mass== ===Definition=== In physical science, one may distinguish conceptually between at least seven different aspects of mass, or seven physical notions that involve the co...")
  • 14:52, 17 September 2021 Khanh talk contribs created page Equation of an Ellipse (Created page with "* [https://courses.lumenlearning.com/waymakercollegealgebra/chapter/equations-of-ellipses/ Equations of Ellipses], Lumen Learning")
  • 14:51, 17 September 2021 Khanh talk contribs created page Equation of a Circle (Created page with "* [https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-conic-sections/hs-geo-circle-expanded-equation/a/circle-equation-review Circle Equation Review], Khan Academy * [...")
  • 14:28, 17 September 2021 Khanh talk contribs created page Factorials (Created page with "In mathematics, the '''factorial''' of a non-negative integer {{mvar|n}}, denoted by {{math|''n''!}}, is the product of all positive integers less than or equal to {{mvar|n}}:...")
  • 13:31, 17 September 2021 Khanh talk contribs created page Systems of Linear Equations (Created page with "thumb|right|A linear system in three variables determines a collection of planes. The intersection point is the solution. In mathematics, a...")
  • 12:54, 17 September 2021 Khanh talk contribs created page Completing the Square (Created page with "thumb|Animation depicting the process of completing the square. ([[:File:Completing the square.ogv|Details, :File:Completing the square.gi...")
  • 11:23, 17 September 2021 Lila talk contribs created page Matrix Algebra and Matrix Multiplication (Created page with "==Matrix Operations== ===Adding and subtracting matrices=== In order to add or subtract two matrices, they must be of the same dimension; that is, the two matrices must have t...")
  • 11:23, 17 September 2021 Khanh talk contribs created page Change of Variables (Created page with "In mathematics, a '''change of variables''' is a basic technique used to simplify problems in which the original variables are replaced with functions of other variables. The...")
  • 11:12, 17 September 2021 Khanh talk contribs created page The Derivative of a Function (Created page with "* [https://mathresearch.utsa.edu/wikiFiles/MAT1214/The%20Derivative%20as%20a%20Function/MAT1214-3.2TheDerivativeAsAFunctionPwPt.pptx The Derivative as a Function] PowerPoint...")
  • 11:01, 17 September 2021 Khanh talk contribs created page Area of a rectangle (Created page with "File:Riemann sum convergence.png|right|thumb|300px|Four of the Riemann summation methods for approximating the area under curves. <span style="color:#0081cd">'''Right''' </s...")
  • 01:41, 17 September 2021 Khanh talk contribs created page Sigma notation (Created page with "In mathematics, '''summation''' is the addition of a sequence of any kind of numbers, called ''addends'' or ''summands''; the result is their ''sum'' or ''total''. Beside numb...")
  • 00:55, 17 September 2021 Khanh talk contribs created page Differentiation Rule (Created page with "This is a summary of '''differentiation rules''', that is, rules for computing the derivative of a function in calculus. == Elementary rules of differentiation == Unless oth...")
  • 00:25, 17 September 2021 Khanh talk contribs created page Inverse Trigonometric Functions (Created page with "In mathematics, the '''inverse trigonometric functions''' (occasionally also called '''arcus functions''', '''antitrigonometric functions''' or '''cyclometric functions''' are...")
  • 22:15, 16 September 2021 Khanh talk contribs created page The Chain Rule (Created page with "In calculus, the '''chain rule''' is a formula that expresses the derivative of the composition of two differentiable functions {{Mvar|f}} and {{Mvar|g}} in terms of the deriv...")
  • 21:42, 16 September 2021 Khanh talk contribs created page Understanding of Velocity and Acceleration (Created page with "==Velocity== The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a speci...")
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