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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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• 23:13, 24 September 2021 Khanh talk contribs created page Second Derivative Test (Created page with "After establishing the critical points of a function, the ''second-derivative test'' uses the value of the second derivative at those points to determine whether such points a...")
• 23:05, 24 September 2021 Khanh talk contribs created page First Derivative Test (Created page with "The first-derivative test examines a function's monotonic properties (where the function is increasing or decreasing), focusing on a particular point in its domain. If the fun...")
• 22:49, 24 September 2021 Khanh talk contribs created page The Second Derivative (Created page with "right|thumb|200px|The second derivative of a quadratic function is constant. In calculus, the '''second derivative''', or the '''sec...")
• 22:32, 24 September 2021 Khanh talk contribs created page Derivatives and Graphs (Created page with "* [https://www.khanacademy.org/math/old-ap-calculus-ab/ab-derivatives-analyze-functions/ab-connecting-func-and-derivatives/v/intuitively-drawing-the-derivative-of-a-function T...")
• 22:29, 24 September 2021 Khanh talk contribs created page Derivatives of Logarithmic Functions (Created page with "* [https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:continuity-differentiability/xd340c21e718214c5:logarithmic-functions-differentiation/v/derivative-lo...")
• 22:23, 24 September 2021 Khanh talk contribs created page Derivatives of Exponential Functions (Created page with "* [https://www.youtube.com/watch?v=fqYds-feWcw Exponential Functions Differentiation], Khan Academy * [https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:...")
• 22:19, 24 September 2021 Khanh talk contribs created page 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. In...")
• 22:14, 24 September 2021 Khanh talk contribs created page Function Evaluation (Created page with "* [https://www.youtube.com/watch?v=E9YEUQR9NAU Evaluating Functions], Khan Academy * [https://courses.lumenlearning.com/waymakercollegealgebra/chapter/evaluate-and-solve-funct...")
• 18:55, 24 September 2021 Khanh talk contribs created page Composite Functions (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...")
• 14:21, 24 September 2021 Lila talk contribs created page Eigenvalues and Eigenvectors (Created page with "In linear algebra, an eigenvector of a matrix is a nonzero vector that changes at most by a scalar factor when that linear transformation is applied to it. The corresponding e...")
• 14:03, 24 September 2021 Lila talk contribs created page MAT3223 (Created page with "MAT 3223. Complex Variables. (3-0) 3 Credit Hours. Prerequisites: MAT 2214 and MAT 3213. An introduction to complex variables, including elementary functions, line integrals,...")
• 13:51, 24 September 2021 Lila talk contribs created page Logical Implication (Created page with "A logical implication is a relationship between two statements. If a statement Q is always true when another statement P is true, then we say that "P implies Q", which is deno...")
• 11:58, 24 September 2021 Lila talk contribs created page Logical Equivalence (Created page with "In mathematics, two statements are logically equivalent if they produce the same truth value in every case. For example, "x is greater than 7" and "x is not less than or equal...")
• 11:06, 24 September 2021 Lila talk contribs created page Proofs:Biconditionals (Created page with "A biconditional of two propositions P and Q takes the form "<math> P </math> if and only if <math> Q </math>". This can also be written as "<math> P \iff Q </math>, which is e...")
• 10:59, 24 September 2021 Lila talk contribs created page Deductive Rules (Created page with "In mathematics, deductive reasoning is the process of making conclusions using axioms and previously proven theorems and statements. ==Resources== * [https://en.wikipedia.org...")
• 10:47, 24 September 2021 Lila talk contribs created page Proofs:Cases (Created page with "Some proofs are easier to do if we split them up into two or more cases. Example: Proof that <math> x^2 \ge 0 </math> for all real numbers. We can break this up into three ca...")
• 10:28, 24 September 2021 Lila talk contribs created page Proofs:Contradiction (Created page with "A proof by contradiction is a proof in which we assume the negation of the conclusion of our proposition/theorem, and show that this assumption leads to a contradiction. If th...")
• 09:39, 24 September 2021 Lila talk contribs created page Proofs:Contraposition (Created page with "Let <math> P </math> and <math> Q </math> be propositions such that <math> P \implies Q </math>. Then, the contrapositive of the conditional statement "<math> P \implies Q </m...")
• 09:13, 24 September 2021 Lila talk contribs created page Counting Rules (Created page with "==Resources== * [https://www.hamilton.ie/ollie/EE304/Counting.pdf Some Simple Counting Rules], Hamilton Institute * [https://www.stat.purdue.edu/~huang251/slides4.pdf Basic Co...")
• 20:28, 23 September 2021 Lila talk contribs created page Quantifiers (Created page with "Quantifiers are words, expressions, or phrases that indicate the number of elements that a statement pertains to. In mathematical logic, there are two quantifiers: the univers...")
• 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''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...")

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