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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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• 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''² + 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''₁, …, ''x_n'') = 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...")
• 21:16, 16 September 2021 Khanh talk contribs created page Simplifying Exponents (Created page with "[* https://www.youtube.com/watch?v=Zt2fdy3zrZU Simplifying Exponents], The Organic Chemistry Tutor")
• 21:07, 16 September 2021 Khanh talk contribs created page Trigonometric identities (Created page with "* *[https://tutorial.math.lamar.edu/pdf/Trig_Cheat_Sheet.pdf Trig Cheat Sheet], Paul's Online Notes")
• 20:56, 16 September 2021 Khanh talk contribs created page Linear Functions and Slope (Created page with "thumb|right|Graph of the linear function: <math>y(x) = -x + 2</math> In calculus and related areas of mathematics, a '''linear function''' f...")
• 20:25, 16 September 2021 Khanh talk contribs created page Limits of Functions (Created page with "In mathematics, a '''limit''' is the value that a function (or sequence) approaches as the input (or index) approaches some value. Limits are essential to calculus and mathema...")
• 19:45, 16 September 2021 Lila talk contribs created page Gauss-Jordan Elimination (Created page with "Now that we can write systems of equations in augmented matrix form, we will examine the various row operations that can be performed on a matrix, such as addition, multiplica...")
• 19:38, 16 September 2021 Lila talk contribs created page Vectors and Matrices (Created page with "==Resources== * [https://www.unf.edu/~mzhan/chapter3.pdf Brief Introduction to Vectors and Matrices], University of North Florida * [https://www.usna.edu/Users/math/uhan/sm286...")
• 18:48, 16 September 2021 Lila talk contribs created page Algebraic Expressions (Created page with "==Introduction== To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we s...")
• 17:03, 16 September 2021 Khanh talk contribs created page Interval Notation (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. In...")
• 16:09, 16 September 2021 Lila talk contribs created page Differential Equations Applications (Created page with "==Applications== The study of differential equations is a wide field in pure and applied mathematics, physics, and engineering. All of these disciplines are concerned with the...")
• 15:29, 16 September 2021 Khanh talk contribs created page Trigonometric Functions (Created page with "In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions[1][2]) are real functions which relate an angle of a righ...")
• 15:07, 16 September 2021 Khanh talk contribs created page Rational Expression (Created page with "==Rational Expression== Rational expressions are fractions that have a polynomial in the numerator, denominator, or both. Although rational expressions can seem complicated be...")
• 14:32, 16 September 2021 Khanh talk contribs created page Piecewise Functions (Created page with "File:Piecewise linear function gnuplot.svg|thumb|250px|Plot of the piecewise linear function <math>f(x) = \left\{ \begin{array}{lll} -3-x & \text{if} & x \leq -3 \\ x+3 & \t...")
• 14:03, 16 September 2021 Khanh talk contribs created page Modeling using Variation (Created page with "There are three types of variations: * Direct variation * Inverse variation * Joint variation ==Direct Variation== Direct variation describes a simple relationship between tw...")
• 13:43, 16 September 2021 Lila talk contribs created page Multiple Transformations of Functions (Created page with "See Single Transformations of Functions ==Resources== * [https://online.math.uh.edu/Math1330-unpaid/ch1/s13/CombTransf/Combining_Transformations_Math1330_s13.pdf Combining...")
• 11:44, 16 September 2021 Lila talk contribs created page Exponential Properties (Created page with "==Introduction== Exponential properties can be used to manipulate equations involving exponential expressions and/or functions. Here are some important exponential properties:...")
• 21:30, 15 September 2021 Khanh talk contribs created page Inverse Functions (Created page with "In mathematics, an '''inverse function''' (or '''anti-function''') is a function that "reverses" another function: if the function {{mvar|f}} applied to an input {{mvar|x}} gi...")
• 20:40, 15 September 2021 Khanh talk contribs created page Composition of Functions (Created page with "In mathematics, function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). In this operation, the function g is...")

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