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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, …, ''xn'') = 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. '''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...")
17:09, 15 September 2021 Lila talk contribs created page Single Transformations of Functions (Created page with "==Introduction== One kind of transformation involves shifting the entire graph of a function up, down, right, or left. The simplest shift is a vertical shift, moving the graph...")
15:43, 15 September 2021 Lila talk contribs created page Order of Differential Equations (Created page with "==Introduction== The order of a differential equation is determined by the highest-order derivative. The higher the order of the differential equation, the more arbitrary cons...")
15:29, 15 September 2021 Khanh talk contribs created page Graphs of Rational Functions (Created page with "{{About||the use in automata theory|Finite-state transducer|the use in monoid theory|Rational function (monoid)}} {{Use American English|date = January 2019}} {{Short descript...")
15:14, 15 September 2021 Khanh talk contribs created page Graphs of Polynomials (Created page with "In mathematics, a '''graph polynomial''' is a graph invariant whose values are polynomials. Invariants of this type are studied in algebraic graph the...")
12:45, 15 September 2021 Lila talk contribs created page Volume of a cylinder (Created page with "thumb|Cylinder geometry The volume of a cylinder is <math> V = \pi r^2h </math>, where <math> r </math> is the radius of the circular base of th...")
12:37, 15 September 2021 Lila talk contribs created page Areas of basic shapes (Created page with "Shape terminology Basic area formulas ==Resources== * [https://www.mathsisfun.com/area.html Area of Basic Shap...")
11:43, 15 September 2021 Lila talk contribs created page Absolute Value Functions (Created page with "In mathematics, the absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign. Namely, |x| = x if x is positive, and...")
09:21, 15 September 2021 Lila talk contribs created page Zeros of Polynomials (Created page with "==Resources== * [https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/evaluate-a-polynomial-using-the-remainder-theorem/ Finding Zeros with Remainder Theorem], Lum...")
17:51, 14 September 2021 Lila talk contribs created page Dividing Polynomials (Created page with "* [https://courses.lumenlearning.com/waymakercollegealgebra/chapter/polynomial-long-division/ Polynomial Long Division], Lumen Learning * [https://www.purplemath.com/modules/p...")
16:47, 14 September 2021 Lila talk contribs created page Range of a Function (Created page with "==Definition== In mathematics, the range of a function may refer to either of two closely related concepts: * The codomain of the function * The image of the function Given tw...")
16:20, 14 September 2021 Lila talk contribs created page Graphs (Created page with "==Resources and Examples== * [https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/plotting-ordered-pairs-in-the-cartesian-coordinate-system/ Plotting Points on a...")
13:37, 14 September 2021 Lila talk contribs created page Solving Equations and Inequalities (Created page with "==Resources and Examples== ===General Resources=== * [https://tutorial.math.lamar.edu/classes/alg/Solving.aspx Solving Equations and Inequalities], Paul's Online Notes * [http...")
12:25, 14 September 2021 Lila talk contribs created page Simplifying Radicals (Created page with "==Resources and Examples== * [https://courses.lumenlearning.com/boundless-algebra/chapter/radicals/ Introduction to Radicals], Lumen Learning: Boundless Algebra * [https://www...")

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