Online courses directory (237)

ALISON.com's free online Diploma in Mathematics course gives you comprehensive knowledge and understanding of key subjects in mathematics. This course covers calculus, geometry, algebra, trigonometry, functions, vectors, data distributions, probability and probability and statistics. Math qualifications are in great demand from employers and this math course will greatly enhance your career prospects.<br />

The foundations of Pre-Algebra from The Khan Academy.

Finding measurements and applying and proving circle theorems. Language and Notation of the Circle. Circles: Radius, Diameter and Circumference. Parts of a Circle. Three Points Defining a Circle. Area of a Circle. Pi Is (still) Wrong.. Right Triangles Inscribed in Circles (Proof). Right Triangles Inscribed in Circles (Proof). Perpendicular Radius Bisects Chord. Incenter and incircles of a triangle. Inradius Perimeter and Area.

Understanding and solving matrices. Introduction to the matrix. Matrix dimensions. Scalar multiplication. Scalar matrix multiplication. Matrix addition and subtraction. Matrix addition and subtraction. Transpose of a matrix. Matrix transpose. Multiplying a matrix by a column vector. Multiplying a matrix by a vector. Multiplying a matrix by a matrix. Multiplying a matrix by a matrix. Defined and undefined matrix operations. Defined and undefined matrix operations. Matrix multiplication (part 1). Matrix multiplication (part 2). Finding the Determinant of a 2x2 matrix. Determinant of a 2x2 matrix. Inverse of a 2x2 matrix. Idea Behind Inverting a 2x2 Matrix. Inverse of a 2x2 matrix. Matrices to solve a system of equations. Matrices to solve a vector combination problem. Finding the determinant of a 3x3 matrix method 1. Finding the determinant of a 3x3 matrix method 2. Determinant of a 3x3 matrix. Inverting 3x3 part 1: Calculating Matrix of Minors and Cofactor Matrix. Inverting 3x3 part 2: Determinant and Adjugate of a Matrix. Classic video on inverting a 3x3 matrix part 1. Classic video on inverting a 3x3 matrix part 2. Singular Matrices. Inverse of a 3x3 matrix. Matrices: Reduced Row Echelon Form 1. Matrices: Reduced Row Echelon Form 2. Matrices: Reduced Row Echelon Form 3. Introduction to the matrix. Matrix dimensions. Scalar multiplication. Scalar matrix multiplication. Matrix addition and subtraction. Matrix addition and subtraction. Transpose of a matrix. Matrix transpose. Multiplying a matrix by a column vector. Multiplying a matrix by a vector. Multiplying a matrix by a matrix. Multiplying a matrix by a matrix. Defined and undefined matrix operations. Defined and undefined matrix operations. Matrix multiplication (part 1). Matrix multiplication (part 2). Finding the Determinant of a 2x2 matrix. Determinant of a 2x2 matrix. Inverse of a 2x2 matrix. Idea Behind Inverting a 2x2 Matrix. Inverse of a 2x2 matrix. Matrices to solve a system of equations. Matrices to solve a vector combination problem. Finding the determinant of a 3x3 matrix method 1. Finding the determinant of a 3x3 matrix method 2. Determinant of a 3x3 matrix. Inverting 3x3 part 1: Calculating Matrix of Minors and Cofactor Matrix. Inverting 3x3 part 2: Determinant and Adjugate of a Matrix. Classic video on inverting a 3x3 matrix part 1. Classic video on inverting a 3x3 matrix part 2. Singular Matrices. Inverse of a 3x3 matrix. Matrices: Reduced Row Echelon Form 1. Matrices: Reduced Row Echelon Form 2. Matrices: Reduced Row Echelon Form 3.

Solving quadratics through factoring, completing the square, graphing, and the quadratic equation. Factoring Quadratic Expressions. Solving Quadratic Equations by Square Roots. Completing the square. Graphing a Quadratic Function. Graphs of Quadratic Functions. Quadratic Functions 3. Quadratic Equations in Standard Form. Quadratic Formula 1. Proof of Quadratic Formula. Complex Roots from the Quadratic Formula. Discriminant for Types of Solutions for a Quadratic. Solving Quadratic Equations by Factoring. Solving Quadratic Equations by Factoring 2. Solving Quadratic Equations by Factoring 3. CA Algebra I: Factoring Quadratics. Solving a quadratic by factoring. Applications Problem Factoring Quadratics. Algebra II: Quadratics and Shifts. Algebra II: Shifting Quadratic Graphs. Completing the Square 1. Completing the Square 3. Completing the Square 2. Completing the Square 4. Completing the Square to Solve Quadratic Equations. CA Algebra I: Completing the Square. Solving Quadratic Equations by Completing the Square. Completing Perfect Square Trinomials. Introduction to the quadratic equation. Quadratic Equation part 2. Quadratic Formula 2. Quadratic Formula 3. CA Algebra I: Quadratic Equation. CA Algebra I: Quadratic Roots. Simple Quadratic Equation. Applying the Quadratic Formula. Application Problem with Quadratic Formula. Discriminant of Quadratic Equations. Quadratic Formula (proof).

Solving and writing algebraic ratios and proportions. Solving rational equations. Introduction to Ratios (new HD version). Understanding Proportions. Ratios as Fractions in Simplest Form. Simplifying Rates and Ratios. Find an Unknown in a Proportion. Ratio and Proportion. Find an Unknown in a Proportion 2. Another Take on the Rate Problem. Finding Unit Rates. Finding Unit Prices. Writing Proportions. Ratio problem with basic algebra (new HD). More advanced ratio problem--with Algebra (HD version). Alternate Solution to Ratio Problem (HD Version). Advanced ratio problems. Unit conversion. Conversion between metric units. Converting within the metric system. Converting pounds to ounces. Converting Gallons to quarts pints and cups. Converting Farenheit to Celsius. Comparing Celsius and Farenheit temperature scales. Applying the Metric System. U.S. Customary and Metric units. Converting Yards into Inches. Unit Conversion with Fractions. Performing arithmetic calculations on units of volume. Application problems involving units of weight. Solving application problems involving units of volume. Unit Conversion Example: Drug Dosage. Perimeter and Unit Conversion. Rational Equations. Solving Rational Equations 1. Solving Rational Equations 2. Solving Rational Equations 3. Applying Rational Equations 1. Applying Rational Equations 2. Applying Rational Equations 3. Extraneous Solutions to Rational Equations. Rational Inequalities 2.

Understanding the purpose, notation, and building blocks of geometry. Euclid as the Father of Geometry. Language and Notation of Basic Geometry. Lines, Line Segments, and Rays. Identifying Rays. Identifying Parallel and Perpendicular Lines.

Sal does the 80 problems from the released questions from the California Standards Test for Geometry.

Using polynomial expressions and factoring polynomials. Terms coefficients and exponents in a polynomial. Interesting Polynomial Coefficient Problem. Polynomials1. Polynomials 2. Evaluating a polynomial at a given value. Simplify a polynomial. Adding Polynomials. Example: Adding polynomials with multiple variables. Addition and Subtraction of Polynomials. Adding and Subtracting Polynomials 1. Adding and Subtracting Polynomials 2. Adding and Subtracting Polynomials 3. Subtracting Polynomials. Subtracting polynomials with multiple variables. Adding and subtracting polynomials. Multiplying Monomials. Dividing Monomials. Multiplying and Dividing Monomials 1. Multiplying and Dividing Monomials 2. Multiplying and Dividing Monomials 3. Monomial Greatest Common Factor. Factoring and the Distributive Property. Factoring and the Distributive Property 2. Factoring and the Distributive Property 3. Multiplying Binomials with Radicals. Multiplication of Polynomials. Multiplying Binomials. Multiplying Polynomials1. Multiplying Polynomials 2. Square a Binomial. Special Products of Binomials. Special Polynomials Products 1. Factor polynomials using the GCF. Special Products of Polynomials 1. Special Products of Polynomials 2. Multiplying expressions 0.5. Factoring linear binomials. Multiplying expressions 1. Multiplying Monomials by Polynomials. Multiplying Polynomials. Multiplying Polynomials 3. More multiplying polynomials. Multiplying polynomials. Level 1 multiplying expressions. Polynomial Division. Polynomial divided by monomial. Dividing multivariable polynomial with monomial. Dividing polynomials 1. Dividing polynomials with remainders. Synthetic Division. Synthetic Division Example 2. Why Synthetic Division Works. Factoring Sum of Cubes. Difference of Cubes Factoring. Algebraic Long Division. Algebra II: Simplifying Polynomials. Terms coefficients and exponents in a polynomial. Interesting Polynomial Coefficient Problem. Polynomials1. Polynomials 2. Evaluating a polynomial at a given value. Simplify a polynomial. Adding Polynomials. Example: Adding polynomials with multiple variables. Addition and Subtraction of Polynomials. Adding and Subtracting Polynomials 1. Adding and Subtracting Polynomials 2. Adding and Subtracting Polynomials 3. Subtracting Polynomials. Subtracting polynomials with multiple variables. Adding and subtracting polynomials. Multiplying Monomials. Dividing Monomials. Multiplying and Dividing Monomials 1. Multiplying and Dividing Monomials 2. Multiplying and Dividing Monomials 3. Monomial Greatest Common Factor. Factoring and the Distributive Property. Factoring and the Distributive Property 2. Factoring and the Distributive Property 3. Multiplying Binomials with Radicals. Multiplication of Polynomials. Multiplying Binomials. Multiplying Polynomials1. Multiplying Polynomials 2. Square a Binomial. Special Products of Binomials. Special Polynomials Products 1. Factor polynomials using the GCF. Special Products of Polynomials 1. Special Products of Polynomials 2. Multiplying expressions 0.5. Factoring linear binomials. Multiplying expressions 1. Multiplying Monomials by Polynomials. Multiplying Polynomials. Multiplying Polynomials 3. More multiplying polynomials. Multiplying polynomials. Level 1 multiplying expressions. Polynomial Division. Polynomial divided by monomial. Dividing multivariable polynomial with monomial. Dividing polynomials 1. Dividing polynomials with remainders. Synthetic Division. Synthetic Division Example 2. Why Synthetic Division Works. Factoring Sum of Cubes. Difference of Cubes Factoring. Algebraic Long Division. Algebra II: Simplifying Polynomials.

Adding and subtracting positive and negative whole numbers. Starts with 1+1=2 and covers carrying, borrowing, and word problems. Basic Addition. 1-digit addition. Basic Subtraction. 1-digit subtraction. Example: Adding two digit numbers (no carrying). 2-digit addition. Subtraction 2. Example: 2-digit subtraction (no borrowing). 2 and 3-digit subtraction. Level 2 Addition. Introduction to carrying when adding. Addition 3. Addition with carrying. Addition 4. 4-digit addition with carrying. Subtraction 3: Introduction to Borrowing or Regrouping. Why borrowing works. Borrowing once example 1. Borrowing once example 2. Subtraction with borrowing. Regrouping (borrowing) twice example. 4-digit subtraction with borrowing. Alternate mental subtraction method. Level 4 Subtraction. Subtraction Word Problem. Addition and subtraction word problems. Basic Addition. 1-digit addition. Basic Subtraction. 1-digit subtraction. Example: Adding two digit numbers (no carrying). 2-digit addition. Subtraction 2. Example: 2-digit subtraction (no borrowing). 2 and 3-digit subtraction. Level 2 Addition. Introduction to carrying when adding. Addition 3. Addition with carrying. Addition 4. 4-digit addition with carrying. Subtraction 3: Introduction to Borrowing or Regrouping. Why borrowing works. Borrowing once example 1. Borrowing once example 2. Subtraction with borrowing. Regrouping (borrowing) twice example. 4-digit subtraction with borrowing. Alternate mental subtraction method. Level 4 Subtraction. Subtraction Word Problem. Addition and subtraction word problems.

The foundations of Geometry.

<p>This free online Geometry course provides a comprehensive introduction to geometrical methods and techniques, covering angles, triangles, quadrilaterals, polygons, and more. </p><br /> <p>It is ideal for complementing face-to-face classes, as a study guide, or for those who would like to refresh their knowledge of mathematics. </p>

This free online course is the second of our Upper-Secondary Mathematics suite of courses. It covers ratio and proportion, geometric sequences, arithmetic series, difference equations, linear programming, geometry, trigonometry, and graphs. This course is suitable for all math students revising for exams. It is also suitable for anyone with an interest in Mathematics. <br />

In this topic, we'll analyze, graph and solve quadratic equations. Example 1: Solving a quadratic equation by factoring. Example 2: Solving a quadratic equation by factoring. Example 3: Solving a quadratic equation by factoring. Example 4: Solving a quadratic equation by factoring. Solving quadratics by factoring. Solving quadratics by factoring 2. Solving Quadratic Equations by Square Roots. Example: Solving simple quadratic. Solving quadratics by taking the square root. Solving Quadratic Equations by Completing the Square. Completing the square (old school). Example: Completing perfect square trinomials. Example 1: Completing the square. Example 2: Completing the square. Example 3: Completing the square. Example 4: Completing the square. Example 5: Completing the square. Completing the square 1. Completing the square 2. How to use the Quadratic Formula. Example: Quadratics in standard form. Proof of Quadratic Formula. Example 1: Using the quadratic formula. Example 2: Using the quadratic formula. Example 3: Using the quadratic formula. Example 4: Applying the quadratic formula. Example 5: Using the quadratic formula. Quadratic formula. Example: Complex roots for a quadratic. Quadratic formula with complex solutions. Discriminant of Quadratic Equations. Discriminant for Types of Solutions for a Quadratic. Solutions to quadratic equations. Graphing a parabola with a table of values. Parabola vertex and axis of symmetry. Graphing a parabola by finding the roots and vertex. Finding the vertex of a parabola example. Vertex of a parabola. Multiple examples graphing parabolas using roots and vertices. Graphing a parabola using roots and vertex. Graphing parabolas in standard form. Graphing a parabola in vertex form. Graphing parabolas in vertex form. Graphing parabolas in all forms. Parabola Focus and Directrix 1. Focus and Directrix of a Parabola 2. Using the focus and directrix to find the equation of a parabola. Parabola intuition 3. Quadratic Inequalities. Quadratic Inequalities (Visual Explanation). Solving a quadratic by factoring. CA Algebra I: Factoring Quadratics. Algebra II: Quadratics and Shifts. Examples: Graphing and interpreting quadratics. CA Algebra I: Completing the Square. Introduction to the quadratic equation. Quadratic Equation part 2. Quadratic Formula (proof). CA Algebra I: Quadratic Equation. CA Algebra I: Quadratic Roots. Example 1: Solving a quadratic equation by factoring. Example 2: Solving a quadratic equation by factoring. Example 3: Solving a quadratic equation by factoring. Example 4: Solving a quadratic equation by factoring. Solving quadratics by factoring. Solving quadratics by factoring 2. Solving Quadratic Equations by Square Roots. Example: Solving simple quadratic. Solving quadratics by taking the square root. Solving Quadratic Equations by Completing the Square. Completing the square (old school). Example: Completing perfect square trinomials. Example 1: Completing the square. Example 2: Completing the square. Example 3: Completing the square. Example 4: Completing the square. Example 5: Completing the square. Completing the square 1. Completing the square 2. How to use the Quadratic Formula. Example: Quadratics in standard form. Proof of Quadratic Formula. Example 1: Using the quadratic formula. Example 2: Using the quadratic formula. Example 3: Using the quadratic formula. Example 4: Applying the quadratic formula. Example 5: Using the quadratic formula. Quadratic formula. Example: Complex roots for a quadratic. Quadratic formula with complex solutions. Discriminant of Quadratic Equations. Discriminant for Types of Solutions for a Quadratic. Solutions to quadratic equations. Graphing a parabola with a table of values. Parabola vertex and axis of symmetry. Graphing a parabola by finding the roots and vertex. Finding the vertex of a parabola example. Vertex of a parabola. Multiple examples graphing parabolas using roots and vertices. Graphing a parabola using roots and vertex. Graphing parabolas in standard form. Graphing a parabola in vertex form. Graphing parabolas in vertex form. Graphing parabolas in all forms. Parabola Focus and Directrix 1. Focus and Directrix of a Parabola 2. Using the focus and directrix to find the equation of a parabola. Parabola intuition 3. Quadratic Inequalities. Quadratic Inequalities (Visual Explanation). Solving a quadratic by factoring. CA Algebra I: Factoring Quadratics. Algebra II: Quadratics and Shifts. Examples: Graphing and interpreting quadratics. CA Algebra I: Completing the Square. Introduction to the quadratic equation. Quadratic Equation part 2. Quadratic Formula (proof). CA Algebra I: Quadratic Equation. CA Algebra I: Quadratic Roots.

Lectures by Prof. S.K.RayrnDepartment of Mathematics and StatisticsrnIIT Kanpur

Lecture Series on Mathematics - III by Prof.P.N.Agarwal, Department of Mathematics, IIT Roorkee.

This intermediate math course continues our free online maths suite of courses. It covers rules and applications of differentiation, straight line graphs, graphing circular functions, logs and indices, the Binomial theorem, inverse functions, and factors of polynomials. This course is ideal for second-level students, anyone studying for an exam, and those interested in re-igniting their knowledge of mathematics!<br />

This beginners math course is an ideal introduction to fractions. The tutorial uses an interactive multimedia format and relevant examples to thoroughly examine the topic. It is ideal as a study aid or as a complement to face-to-face classes.