Online courses directory (418)

Understanding and finding factors and multiples. After these videos, you'll be ready for fractions. Divisibility Tests for 2, 3, 4, 5, 6, 9, 10. Recognizing Divisibility. The Why of the 3 Divisibility Rule. The Why of the 9 Divisibility Rule. Divisibility tests. Finding Factors of a Number. Finding factors and multiples. Divisibility 0.5. Divisibility Intuition. Divisibility intuition. Prime Numbers. Recognizing Prime Numbers. Prime numbers. Composite numbers. Prime Factorization. Prime factorization exercise. Prime factorization. The fundamental theorem of arithmetic. The fundamental theorem of arithmetic. Common Divisibility Examples. Divisibility. Least common multiple exercise. Least common multiple exercise 2. Least Common Multiple (LCM). Old Least Common Multiple. Least common multiple. Greatest common divisor factor exercise. Greatest Common Divisor. Greatest common divisor. LCM and GCF (greatest common factor) word problems. LCM and GCD word problems. Divisibility Tests for 2, 3, 4, 5, 6, 9, 10. Recognizing Divisibility. The Why of the 3 Divisibility Rule. The Why of the 9 Divisibility Rule. Divisibility tests. Finding Factors of a Number. Finding factors and multiples. Divisibility 0.5. Divisibility Intuition. Divisibility intuition. Prime Numbers. Recognizing Prime Numbers. Prime numbers. Composite numbers. Prime Factorization. Prime factorization exercise. Prime factorization. The fundamental theorem of arithmetic. The fundamental theorem of arithmetic. Common Divisibility Examples. Divisibility. Least common multiple exercise. Least common multiple exercise 2. Least Common Multiple (LCM). Old Least Common Multiple. Least common multiple. Greatest common divisor factor exercise. Greatest Common Divisor. Greatest common divisor. LCM and GCF (greatest common factor) word problems. LCM and GCD word problems.

Multiplying and dividing positive and negative whole numbers, understanding place value, and rounding numbers. Number line 1. Number line 1. Basic Multiplication. Multiplying 1-digit numbers. Multiplication 2: The Multiplication Tables. Example: Ways to represent multiplication. Multiplication 3: 10,11,12 times tables. Division 1. Basic division. 1-digit division. Example: Expressing division in multiple ways. Comparing with multiplication exercise. Comparing with multiplication. Example: 1-digit multiplication word problem. Multiplication word problem example 1. Division word problem example 1. Multiplication and division word problems. Multiplication and division word problems 2. Multiplication and division word problems 2. Multiplying by multiples of 10. Multiplying by multiples of 10. 2-digit times 1-digit number. 2 digit times 1 digit example (no carrying). 3 digit times 1 digit example (no carrying). Multiplication without carrying. 2 digit times 1 digit example. 3 digit times 1 digit example. 4 digit times 1 digit example. Multiplication with carrying. 2-digit times a 2-digit number. Example: 2-digit times 2-digit. Multiplying 2 digits by 2 digits. Multiple Digit Numbers. Multi-digit multiplication. Multiplication estimation example. Multiplication 7: Old video giving more examples. Introduction to long division. Multi-digit division without remainders. Introduction to remainders. Long division with remainder example. More long division without and with remainders. Division with remainders. Dividing by a two digit number. Division by 2 digits. Multi-digit division. Level 4 division. Lattice Multiplication. Why Lattice Multiplication Works. Partial Quotient Division. Partial Quotient Method of Division 2. Multi step word problems with whole numbers exercise 1. Multi step word problems with whole numbers exercise 2. Multi step word problems with whole numbers exercise 3. Multi-step word problems with whole numbers. Understanding multiplication through area models. Area model for multiplication. Number line 1. Number line 1. Basic Multiplication. Multiplying 1-digit numbers. Multiplication 2: The Multiplication Tables. Example: Ways to represent multiplication. Multiplication 3: 10,11,12 times tables. Division 1. Basic division. 1-digit division. Example: Expressing division in multiple ways. Comparing with multiplication exercise. Comparing with multiplication. Example: 1-digit multiplication word problem. Multiplication word problem example 1. Division word problem example 1. Multiplication and division word problems. Multiplication and division word problems 2. Multiplication and division word problems 2. Multiplying by multiples of 10. Multiplying by multiples of 10. 2-digit times 1-digit number. 2 digit times 1 digit example (no carrying). 3 digit times 1 digit example (no carrying). Multiplication without carrying. 2 digit times 1 digit example. 3 digit times 1 digit example. 4 digit times 1 digit example. Multiplication with carrying. 2-digit times a 2-digit number. Example: 2-digit times 2-digit. Multiplying 2 digits by 2 digits. Multiple Digit Numbers. Multi-digit multiplication. Multiplication estimation example. Multiplication 7: Old video giving more examples. Introduction to long division. Multi-digit division without remainders. Introduction to remainders. Long division with remainder example. More long division without and with remainders. Division with remainders. Dividing by a two digit number. Division by 2 digits. Multi-digit division. Level 4 division. Lattice Multiplication. Why Lattice Multiplication Works. Partial Quotient Division. Partial Quotient Method of Division 2. Multi step word problems with whole numbers exercise 1. Multi step word problems with whole numbers exercise 2. Multi step word problems with whole numbers exercise 3. Multi-step word problems with whole numbers. Understanding multiplication through area models. Area model for multiplication.

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 course is a comprehensive introduction to the theory, algorithms and applications of integer optimization and is organized in four parts: formulations and relaxations, algebra and geometry of integer optimization, algorithms for integer optimization, and extensions of integer optimization.

Defining and using the commutative, associative, distributive, identity, and inverse properties. Commutative Law of Addition. Commutative Law of Multiplication. Associative Law of Addition. Associative Law of Multiplication. Commutative Property for Addition. The Distributive Property. The Distributive Property 2. Distributive Property Example 1. CA Algebra I: Number Properties and Absolute Value. Identity Property of 1. Identity property of 1 (second example). Identity property of 0. Inverse Property of Addition. Inverse Property of Multiplication. Why Dividing by Zero is Undefined. Why Zero Divided by Zero is Undefined/Indeterminate. Undefined and Indeterminate.

This tutorial will help us make sure we can go deep on arithmetic. We'll explore various ways to represent whole numbers, place value, order of operations, rounding and various other properties of arithmetic. Introduction to Order of Operations. Order of Operations. Order of Operations 1. More Complicated Order of Operations Example. Order of Operations examples. Order of operations. Place Value 1. Place Value 2. Place Value 3. Place value. Representing numbers. Representing numbers. Comparing place values. Understanding place value 1 exercise. Understanding place value 1. Place value relationships example. Rounding Whole Numbers 1. Rounding Whole Numbers 2. Rounding Whole Numbers 3. Rounding whole numbers. The Distributive Property. The Distributive Property 2. Distributive Property Example 1. Distributive property exercise. Distributive property. Counting 1 exercise. Counting 1. Regrouping numbers intro various place values. Comparing whole number place values. Largest possible number from 4 digits example. Understanding whole number representations. Recognizing irrational numbers. Recognizing rational and irrational numbers. Regrouping whole numbers. Regrouping whole numbers example 1. Regrouping whole numbers example 2. Regrouping whole numbers. Commutative Law of Addition. Commutative Property for Addition. Commutative Law of Multiplication. Associative Law of Addition. Associative Law of Multiplication. CA Algebra I: Number Properties and Absolute Value. Properties of numbers 1. Number properties terminology 1. Identity Property of 1. Identity property of 1 (second example). Identity property of 0. Inverse Property of Addition. Inverse Property of Multiplication. Properties of numbers 2. Introduction to Order of Operations. Order of Operations. Order of Operations 1. More Complicated Order of Operations Example. Order of Operations examples. Order of operations. Place Value 1. Place Value 2. Place Value 3. Place value. Representing numbers. Representing numbers. Comparing place values. Understanding place value 1 exercise. Understanding place value 1. Place value relationships example. Rounding Whole Numbers 1. Rounding Whole Numbers 2. Rounding Whole Numbers 3. Rounding whole numbers. The Distributive Property. The Distributive Property 2. Distributive Property Example 1. Distributive property exercise. Distributive property. Counting 1 exercise. Counting 1. Regrouping numbers intro various place values. Comparing whole number place values. Largest possible number from 4 digits example. Understanding whole number representations. Recognizing irrational numbers. Recognizing rational and irrational numbers. Regrouping whole numbers. Regrouping whole numbers example 1. Regrouping whole numbers example 2. Regrouping whole numbers. Commutative Law of Addition. Commutative Property for Addition. Commutative Law of Multiplication. Associative Law of Addition. Associative Law of Multiplication. CA Algebra I: Number Properties and Absolute Value. Properties of numbers 1. Number properties terminology 1. Identity Property of 1. Identity property of 1 (second example). Identity property of 0. Inverse Property of Addition. Inverse Property of Multiplication. Properties of numbers 2.

Solving and writing ratios and proportions without algebra. Introduction to Ratios (new HD version). Understanding Proportions. Ratios as Fractions in Simplest Form. Simplifying Rates and Ratios. Find an Unknown in a Proportion 2. Finding Unit Rates. Finding Unit Prices. Unit conversion. Converting units of length. Conversion between metric units. U.S. Customary and Metric units. Converting within the metric system. Converting Gallons to quarts pints and cups. Converting pounds to ounces. Comparing Celsius and Farenheit temperature scales. Converting Fahrenheit to Celsius. Speed translation.

This course analyzed the basic techniques for the efficient numerical solution of problems in science and engineering. Topics spanned root finding, interpolation, approximation of functions, integration, differential equations, direct and iterative methods in linear algebra.

This course offers an advanced introduction to numerical linear algebra. Topics include direct and iterative methods for linear systems, eigenvalue decompositions and QR/SVD factorizations, stability and accuracy of numerical algorithms, the IEEE floating point standard, sparse and structured matrices, preconditioning, linear algebra software. Problem sets require some knowledge of MATLAB®.

The goal of this course is to give an undergraduate-level introduction to representation theory (of groups, Lie algebras, and associative algebras). Representation theory is an area of mathematics which, roughly speaking, studies symmetry in linear spaces.

CA Algebra I: Number Properties and Absolute Value. CA Algebra I: Simplifying Expressions. CA Algebra I: Simple Logical Arguments. CA Algebra I: Graphing Inequalities. CA Algebra I: Slope and Y-intercept. CA Algebra I: Systems of Inequalities. CA Algebra I: Simplifying Expressions. CA Algebra I: Factoring Quadratics. CA Algebra I: Completing the Square. CA Algebra I: Quadratic Equation. CA Algebra I: Quadratic Roots. CA Algebra I: Rational Expressions 1. CA Algebra I: Rational Expressions 2. CA Algebra I: Word Problems. CA Algebra I: More Word Problems. CA Algebra I: Functions.

California Standards Test: Algebra II. California Standards Test: Algebra II (Graphing Inequalities). CA Standards: Algebra II (Algebraic Division/Multiplication). CA Standards: Algebra II. Algebra II: Simplifying Polynomials. Algebra II: Imaginary and Complex Numbers. Algebra II: Complex numbers and conjugates. Algebra II: Quadratics and Shifts. Examples: Graphing and interpreting quadratics. Hyperbola and parabola examples. Algebra II: Circles and Logarithms. Algebra II: Logarithms Exponential Growth. Algebra II: Logarithms and more. Algebra II: Functions, Combinatorics. Algebra II: binomial Expansion and Combinatorics. Algebra II: Binomial Expansions, Geometric Series Sum. Algebra II: Functions and Probability. Algebra II: Probability and Statistics. Algebra II: Mean and Standard Deviation.

CA Geometry: deductive reasoning. CA Geometry: Proof by Contradiction. CA Geometry: More Proofs. CA Geometry: Similar Triangles 1. CA Geometry: Similar Triangles 2. CA Geometry: More on congruent and similar triangles. CA Geometry: Triangles and Parallelograms. CA Geometry: Area, Pythagorean Theorem. CA Geometry: Area, Circumference, Volume. CA Geometry: Pythagorean Theorem, Area. CA Geometry: Exterior Angles. CA Geometry: Deducing Angle Measures. CA Geometry: Pythagorean Theorem, Compass Constructions. CA Geometry: Compass Construction. CA Geometry: Basic Trigonometry. CA Geometry: More Trig. CA Geometry: Circle Area Chords Tangent. CA Geometry: Secants and Translations.

Sal does the 80 problems from the released questions from the California Standards Test for Geometry. Basic understanding of Algebra I necessary. Interesting Perimeter and Area Problems. Challenging Perimeter Problem. CA Geometry: deductive reasoning. CA Geometry: Proof by Contradiction. CA Geometry: More Proofs. CA Geometry: Similar Triangles 1. CA Geometry: Similar Triangles 2. CA Geometry: More on congruent and similar triangles. CA Geometry: Triangles and Parallelograms. CA Geometry: Area, Pythagorean Theorem. CA Geometry: Area, Circumference, Volume. CA Geometry: Pythagorean Theorem, Area. CA Geometry: Exterior Angles. CA Geometry: Deducing Angle Measures. CA Geometry: Pythagorean Theorem, Compass Constructions. CA Geometry: Compass Construction. CA Geometry: Basic Trigonometry. CA Geometry: More Trig. CA Geometry: Circle Area Chords Tangent. CA Geometry: Secants and Translations. Interesting Perimeter and Area Problems. Challenging Perimeter Problem. CA Geometry: deductive reasoning. CA Geometry: Proof by Contradiction. CA Geometry: More Proofs. CA Geometry: Similar Triangles 1. CA Geometry: Similar Triangles 2. CA Geometry: More on congruent and similar triangles. CA Geometry: Triangles and Parallelograms. CA Geometry: Area, Pythagorean Theorem. CA Geometry: Area, Circumference, Volume. CA Geometry: Pythagorean Theorem, Area. CA Geometry: Exterior Angles. CA Geometry: Deducing Angle Measures. CA Geometry: Pythagorean Theorem, Compass Constructions. CA Geometry: Compass Construction. CA Geometry: Basic Trigonometry. CA Geometry: More Trig. CA Geometry: Circle Area Chords Tangent. CA Geometry: Secants and Translations.

This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.

This course is a continuation of 18.014. It covers the same material as 18.02 (Multivariable Calculus), but at a deeper level, emphasizing careful reasoning and understanding of proofs. There is considerable emphasis on linear algebra and vector integral calculus.

The foundations of Pre-Algebra from The Khan Academy.

This course is an elementary introduction to number theory with no algebraic prerequisites. Topics covered include primes, congruences, quadratic reciprocity, diophantine equations, irrational numbers, continued fractions, and partitions. 

A broad set of tutorials covering perimeter area and volume with and without algebra. Perimeter and Area Basics. Area and Perimeter. Perimeter of a Polygon. Perimeter of a shape. Perimeter 1. Finding dimensions given perimeter. Area 1. Finding dimensions given area. Perimeter and Area Basics. Triangle Area Proofs. Area of triangles. Interesting Perimeter and Area Problems. Area of Diagonal Generated Triangles of Rectangle are Equal. Area of an equilateral triangle. Area of shaded region made from equilateral triangles. Shaded areas. Challenging Perimeter Problem. Triangle inqequality theorem. Triangle inequality theorem. Koch Snowflake Fractal. Area of an equilateral triangle. Area of Koch Snowflake (part 1) - Advanced. Area of Koch Snowflake (part 2) - Advanced. Heron's Formula. Heron's formula. Part 1 of Proof of Heron's Formula. Part 2 of the Proof of Heron's Formula. Circles: Radius, Diameter and Circumference. Parts of a Circle. Radius diameter and circumference. Area of a Circle. Area of a circle. Quadrilateral Overview. Quadrilateral Properties. Area of a Parallelogram. Area of parallelograms. Area of a trapezoid. Area of a kite. Area of trapezoids, rhombi, and kites. Perimeter of a Polygon. Perimeter and Area of a Non-Standard Polygon. How we measure volume. Measuring volume with unit cubes. Volume with unit cubes. Measuring volume as area times length. Volume of a rectangular prism or box examples. Volume 1. Volume word problem example. Volume word problems. Solid Geometry Volume. Cylinder Volume and Surface Area. Volume of a Sphere. Solid geometry. Perimeter and Area Basics. Area and Perimeter. Perimeter of a Polygon. Perimeter of a shape. Perimeter 1. Finding dimensions given perimeter. Area 1. Finding dimensions given area. Perimeter and Area Basics. Triangle Area Proofs. Area of triangles. Interesting Perimeter and Area Problems. Area of Diagonal Generated Triangles of Rectangle are Equal. Area of an equilateral triangle. Area of shaded region made from equilateral triangles. Shaded areas. Challenging Perimeter Problem. Triangle inqequality theorem. Triangle inequality theorem. Koch Snowflake Fractal. Area of an equilateral triangle. Area of Koch Snowflake (part 1) - Advanced. Area of Koch Snowflake (part 2) - Advanced. Heron's Formula. Heron's formula. Part 1 of Proof of Heron's Formula. Part 2 of the Proof of Heron's Formula. Circles: Radius, Diameter and Circumference. Parts of a Circle. Radius diameter and circumference. Area of a Circle. Area of a circle. Quadrilateral Overview. Quadrilateral Properties. Area of a Parallelogram. Area of parallelograms. Area of a trapezoid. Area of a kite. Area of trapezoids, rhombi, and kites. Perimeter of a Polygon. Perimeter and Area of a Non-Standard Polygon. How we measure volume. Measuring volume with unit cubes. Volume with unit cubes. Measuring volume as area times length. Volume of a rectangular prism or box examples. Volume 1. Volume word problem example. Volume word problems. Solid Geometry Volume. Cylinder Volume and Surface Area. Volume of a Sphere. Solid geometry.

Non-trigonometry pre-calculus topics. Solid understanding of all of the topics in the "Algebra" playlist should make this playlist pretty digestible. Introduction to Limits (HD). Introduction to Limits. Limit Examples (part 1). Limit Examples (part 2). Limit Examples (part3). Limit Examples w/ brain malfunction on first prob (part 4). Squeeze Theorem. Proof: lim (sin x)/x. More Limits. Sequences and Series (part 1). Sequences and series (part 2). Permutations. Combinations. Binomial Theorem (part 1). Binomial Theorem (part 2). Binomial Theorem (part 3). Introduction to interest. Interest (part 2). Introduction to compound interest and e. Compound Interest and e (part 2). Compound Interest and e (part 3). Compound Interest and e (part 4). Exponential Growth. Polar Coordinates 1. Polar Coordinates 2. Polar Coordinates 3. Parametric Equations 1. Parametric Equations 2. Parametric Equations 3. Parametric Equations 4. Introduction to Function Inverses. Function Inverse Example 1. Function Inverses Example 2. Function Inverses Example 3. Basic Complex Analysis. Exponential form to find complex roots. Complex Conjugates. Series Sum Example. Complex Determinant Example. 2003 AIME II Problem 8. Logarithmic Scale. Vi and Sal Explore How We Think About Scale. Vi and Sal Talk About the Mysteries of Benford's Law. Benford's Law Explanation (Sequel to Mysteries of Benford's Law).