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### Algebra: Graphing and analyzing linear functions

311 votes
Khan Academy Free Popular Closed [?] Mathematics Algebra College algebra Graphing and analyzing linear functions

Use the power of algebra to understand and interpret points and lines (something we typically do in geometry). This will include slope and the equation of a line. Descartes and Cartesian Coordinates. The Coordinate Plane. Plot ordered pairs. Graphing points exercise. Graphing points. Quadrants of Coordinate Plane. Graphing points and naming quadrants exercise. Graphing points and naming quadrants. Points on the coordinate plane. Points on the coordinate plane. Coordinate plane word problems exercise. Coordinate plane word problems. Reflecting points exercise. Reflecting points. Ordered pair solutions of equations. Ordered Pair Solutions of Equations 2. Determining a linear equation by trying out values from a table. Equations from tables. Plotting (x,y) relationships. Graphs of Linear Equations. Application problem with graph. Ordered pair solutions to linear equations. Interpreting Linear Graphs. Exploring linear relationships. Recognizing Linear Functions. Interpreting linear relationships. Graphing lines 1. Recognizing Linear Functions. Linear and nonlinear functions (example 1). Linear and nonlinear functions (example 2). Linear and nonlinear functions (example 3). Linear and nonlinear functions. Graphing using X and Y intercepts. Graphing Using Intercepts. X and Y intercepts. X and Y intercepts 2. Solving for the x-intercept. Finding x intercept of a line. Finding intercepts for a linear function from a table. Linear function intercepts. Interpreting intercepts of linear functions. Interpreting and finding intercepts of linear functions. Analyzing and identifying proportional relationships ex1. Analyzing and identifying proportional relationships ex2. Analyzing and identifying proportional relationships ex3. Analyzing and identifying proportional relationships. Comparing proportional relationships. Constructing an equation for a proportional relationship. Constructing and comparing proportional relationships. Graphing proportional relationships example. Graphing proportional relationships example 2. Graphing proportional relationships example 3. Graphing proportional relationships. Comparing rates. Representing and comparing rates. Rates and proportional relationships. Rate problem with fractions 1. Unit cost with fractions 1. Rate problems 1. Slope of a line. Slope of a Line 2. Slope and Rate of Change. Graphical Slope of a Line. Slope of a Line 3. Slope Example. Hairier Slope of Line. Identifying slope of a line. Slope and Y-intercept Intuition. Line graph intuition. Algebra: Slope. Algebra: Slope 2. Algebra: Slope 3. Graphing a line in slope intercept form. Converting to slope-intercept form. Graphing linear equations. Fitting a Line to Data. Comparing linear functions 1. Comparing linear functions 2. Comparing linear functions 3. Comparing linear functions. Interpreting features of linear functions example. Interpreting features of linear functions example 2. Interpreting features of linear functions. Comparing linear functions applications 1. Comparing linear functions applications 2. Comparing linear functions applications 3. Comparing linear functions applications. Constructing a linear function word problem. Constructing and interpreting a linear function. Constructing linear graphs. Constructing and interpreting linear functions. Multiple examples of constructing linear equations in slope-intercept form. Constructing equations in slope-intercept form from graphs. Constructing linear equations to solve word problems. Linear equation from slope and a point. Finding a linear equation given a point and slope. Equation of a line from fractional slope and point. Constructing the equation of a line given two points. Finding y intercept given slope and point. Solving for the y-intercept. Slope intercept form from table. Slope intercept form. Idea behind point slope form. Linear Equations in Point Slope Form. Point slope form. Linear Equations in Standard Form. Point-slope and standard form. Converting between slope-intercept and standard form. Converting from point slope to slope intercept form. Converting between point-slope and slope-intercept. Finding the equation of a line. Midpoint formula. Midpoint formula. The Pythagorean theorem intro. Pythagorean theorem. Distance Formula. Distance formula. Perpendicular Line Slope. Equations of Parallel and Perpendicular Lines. Parallel Line Equation. Parallel Lines. Parallel Lines 2. Parallel lines 3. Perpendicular Lines. Perpendicular lines 2. Equations of parallel and perpendicular lines. Distance between a point and a line. Distance between point and line. Algebra: Slope and Y-intercept intuition. Algebra: Equation of a line. CA Algebra I: Slope and Y-intercept. Graphing Inequalities. Solving and graphing linear inequalities in two variables 1. Graphing Linear Inequalities in Two Variables Example 2. Graphing Inequalities 2. Graphing linear inequalities in two variables 3. Graphs of inequalities. Graphing linear inequalities. Graphing Inequalities 1. Graphing and solving linear inequalities. CA Algebra I: Graphing Inequalities. Similar triangles to prove that the slope is constant for a line. Slope and triangle similarity 1. Slope and triangle similarity 2. Slope and triangle similarity 3. Slope and triangle similarity 4. Slope and triangle similarity. Average Rate of Change Example 1). Average Rate of Change Example 2). Average Rate of Change Example 3). Average rate of change when function defined by equation. Average rate of change. Descartes and Cartesian Coordinates. The Coordinate Plane. Plot ordered pairs. Graphing points exercise. Graphing points. Quadrants of Coordinate Plane. Graphing points and naming quadrants exercise. Graphing points and naming quadrants. Points on the coordinate plane. Points on the coordinate plane. Coordinate plane word problems exercise. Coordinate plane word problems. Reflecting points exercise. Reflecting points. Ordered pair solutions of equations. Ordered Pair Solutions of Equations 2. Determining a linear equation by trying out values from a table. Equations from tables. Plotting (x,y) relationships. Graphs of Linear Equations. Application problem with graph. Ordered pair solutions to linear equations. Interpreting Linear Graphs. Exploring linear relationships. Recognizing Linear Functions. Interpreting linear relationships. Graphing lines 1. Recognizing Linear Functions. Linear and nonlinear functions (example 1). Linear and nonlinear functions (example 2). Linear and nonlinear functions (example 3). Linear and nonlinear functions. Graphing using X and Y intercepts. Graphing Using Intercepts. X and Y intercepts. X and Y intercepts 2. Solving for the x-intercept. Finding x intercept of a line. Finding intercepts for a linear function from a table. Linear function intercepts. Interpreting intercepts of linear functions. Interpreting and finding intercepts of linear functions. Analyzing and identifying proportional relationships ex1. Analyzing and identifying proportional relationships ex2. Analyzing and identifying proportional relationships ex3. Analyzing and identifying proportional relationships. Comparing proportional relationships. Constructing an equation for a proportional relationship. Constructing and comparing proportional relationships. Graphing proportional relationships example. Graphing proportional relationships example 2. Graphing proportional relationships example 3. Graphing proportional relationships. Comparing rates. Representing and comparing rates. Rates and proportional relationships. Rate problem with fractions 1. Unit cost with fractions 1. Rate problems 1. Slope of a line. Slope of a Line 2. Slope and Rate of Change. Graphical Slope of a Line. Slope of a Line 3. Slope Example. Hairier Slope of Line. Identifying slope of a line. Slope and Y-intercept Intuition. Line graph intuition. Algebra: Slope. Algebra: Slope 2. Algebra: Slope 3. Graphing a line in slope intercept form. Converting to slope-intercept form. Graphing linear equations. Fitting a Line to Data. Comparing linear functions 1. Comparing linear functions 2. Comparing linear functions 3. Comparing linear functions. Interpreting features of linear functions example. Interpreting features of linear functions example 2. Interpreting features of linear functions. Comparing linear functions applications 1. Comparing linear functions applications 2. Comparing linear functions applications 3. Comparing linear functions applications. Constructing a linear function word problem. Constructing and interpreting a linear function. Constructing linear graphs. Constructing and interpreting linear functions. Multiple examples of constructing linear equations in slope-intercept form. Constructing equations in slope-intercept form from graphs. Constructing linear equations to solve word problems. Linear equation from slope and a point. Finding a linear equation given a point and slope. Equation of a line from fractional slope and point. Constructing the equation of a line given two points. Finding y intercept given slope and point. Solving for the y-intercept. Slope intercept form from table. Slope intercept form. Idea behind point slope form. Linear Equations in Point Slope Form. Point slope form. Linear Equations in Standard Form. Point-slope and standard form. Converting between slope-intercept and standard form. Converting from point slope to slope intercept form. Converting between point-slope and slope-intercept. Finding the equation of a line. Midpoint formula. Midpoint formula. The Pythagorean theorem intro. Pythagorean theorem. Distance Formula. Distance formula. Perpendicular Line Slope. Equations of Parallel and Perpendicular Lines. Parallel Line Equation. Parallel Lines. Parallel Lines 2. Parallel lines 3. Perpendicular Lines. Perpendicular lines 2. Equations of parallel and perpendicular lines. Distance between a point and a line. Distance between point and line. Algebra: Slope and Y-intercept intuition. Algebra: Equation of a line. CA Algebra I: Slope and Y-intercept. Graphing Inequalities. Solving and graphing linear inequalities in two variables 1. Graphing Linear Inequalities in Two Variables Example 2. Graphing Inequalities 2. Graphing linear inequalities in two variables 3. Graphs of inequalities. Graphing linear inequalities. Graphing Inequalities 1. Graphing and solving linear inequalities. CA Algebra I: Graphing Inequalities. Similar triangles to prove that the slope is constant for a line. Slope and triangle similarity 1. Slope and triangle similarity 2. Slope and triangle similarity 3. Slope and triangle similarity 4. Slope and triangle similarity. Average Rate of Change Example 1). Average Rate of Change Example 2). Average Rate of Change Example 3). Average rate of change when function defined by equation. Average rate of change.

### Coding the Matrix: Linear Algebra through Computer Science Applications

Starts : 2015-02-02
304 votes
Coursera Free Popular Computer Sciences English Artificial Intelligence Computer Science Computer Science Mathematics Statistics and Data Analysis Theory

Learn the concepts and methods of linear algebra, and how to use them to think about computational problems arising in computer science. Coursework includes building on the concepts to write small programs and run them on real data.

### Algebra: Linear equations

294 votes
Khan Academy Free Popular Closed [?] Mathematics Algebra College algebra Linear equations

Why we do the same thing to both sides: simple equations. Representing a relationship with a simple equation. One-Step Equation Intuition. One step equation intuition exercise intro. One step equation intuition. Adding and subtracting the same thing from both sides. Intuition why we divide both sides. Why we do the same thing to both sides: two-step equations. Why we do the same thing to both sides: multi-step equations. Why we do the same thing to both sides basic systems. Super Yoga Plans- Basic Variables and Equations. Super Yoga Plans- Solving One-Step Equations. Constructing and solving equations in the real world 1. Super Yoga Plans- Plotting Points. Super Yoga Plans- Solving Systems by Substitution. Super Yoga Plans- Solving Systems by Elimination. Constructing and solving equations in the real world 1 exercise. Simple Equations of the form Ax=B. Example solving x/3 =14. One-step equations with multiplication. Example solving x+5=54. Examples of one-step equations like Ax=B and x+A = B. One step equations. Solving Ax+B = C. Two-Step Equations. Example: Dimensions of a garden. Example: Two-step equation with x/4 term. 2-step equations. Basic linear equation word problem. Linear equation word problems. Linear equation word problem example. Linear equation word problems 2. Variables on both sides. Example 1: Variables on both sides. Example 2: Variables on both sides. Equation Special Cases. Equations with variables on both sides. Number of solutions to linear equations. Number of solutions to linear equations ex 2. Number of solutions to linear equations ex 3. Solutions to linear equations. Another Percent Word Problem. Percent word problems. Percent word problems 1 example 2). Solving Percent Problems 2. Solving Percent Problems 3. Percentage word problems 1. Percentage word problems 2. Rearrange formulas to isolate specific variables. Solving for a Variable. Solving for a Variable 2. Example: Solving for a variable. Solving equations in terms of a variable. Converting Repeating Decimals to Fractions 1. Converting 1-digit repeating decimals to fractions. Converting Repeating Decimals to Fractions 2. Converting multi-digit repeating decimals to fractions. Ex 1 Age word problem. Ex 2 Age word problem. Ex 3 Age word problem. Age word problems. Absolute Value Equations. Absolute Value Equations Example 1. Absolute Value Equation Example 2. Absolute Value Equations. Absolute Value Equations 1. Absolute value equation example. Absolute value equation with no solution. Absolute value equations. Absolute Value Inequalities. Absolute value inequalities Example 1. Absolute Inequalities 2. Absolute value inequalities example 3. Ex 2 Multi-step equation. Solving Equations with the Distributive Property. Solving equations with the distributive property 2. Ex 2: Distributive property to simplify . Ex 1: Distributive property to simplify . Ex 3: Distributive property to simplify . Multistep equations with distribution. Evaluating expressions where individual variable values are unknown. Evaluating expressions with unknown variables 2. Expressions with unknown variables. Expressions with unknown variables 2. Mixture problems 2. Basic Rate Problem. Early Train Word Problem. Patterns in Sequences 1. Patterns in Sequences 2. Equations of Sequence Patterns. Finding the 100th Term in a Sequence. Challenge example: Sum of integers. Integer sums. Integer sums. 2003 AIME II Problem 1. Bunch of examples. Mixture problems 3. Order of Operations examples. Algebra: Linear Equations 1. Algebra: Linear Equations 2. Algebra: Linear Equations 3. Algebra: Linear Equations 4. Averages. Taking percentages. Growing by a percentage. More percent problems. Age word problems 1. Age word problems 2. Age word problems 3. Why we do the same thing to both sides: simple equations. Representing a relationship with a simple equation. One-Step Equation Intuition. One step equation intuition exercise intro. One step equation intuition. Adding and subtracting the same thing from both sides. Intuition why we divide both sides. Why we do the same thing to both sides: two-step equations. Why we do the same thing to both sides: multi-step equations. Why we do the same thing to both sides basic systems. Super Yoga Plans- Basic Variables and Equations. Super Yoga Plans- Solving One-Step Equations. Constructing and solving equations in the real world 1. Super Yoga Plans- Plotting Points. Super Yoga Plans- Solving Systems by Substitution. Super Yoga Plans- Solving Systems by Elimination. Constructing and solving equations in the real world 1 exercise. Simple Equations of the form Ax=B. Example solving x/3 =14. One-step equations with multiplication. Example solving x+5=54. Examples of one-step equations like Ax=B and x+A = B. One step equations. Solving Ax+B = C. Two-Step Equations. Example: Dimensions of a garden. Example: Two-step equation with x/4 term. 2-step equations. Basic linear equation word problem. Linear equation word problems. Linear equation word problem example. Linear equation word problems 2. Variables on both sides. Example 1: Variables on both sides. Example 2: Variables on both sides. Equation Special Cases. Equations with variables on both sides. Number of solutions to linear equations. Number of solutions to linear equations ex 2. Number of solutions to linear equations ex 3. Solutions to linear equations. Another Percent Word Problem. Percent word problems. Percent word problems 1 example 2). Solving Percent Problems 2. Solving Percent Problems 3. Percentage word problems 1. Percentage word problems 2. Rearrange formulas to isolate specific variables. Solving for a Variable. Solving for a Variable 2. Example: Solving for a variable. Solving equations in terms of a variable. Converting Repeating Decimals to Fractions 1. Converting 1-digit repeating decimals to fractions. Converting Repeating Decimals to Fractions 2. Converting multi-digit repeating decimals to fractions. Ex 1 Age word problem. Ex 2 Age word problem. Ex 3 Age word problem. Age word problems. Absolute Value Equations. Absolute Value Equations Example 1. Absolute Value Equation Example 2. Absolute Value Equations. Absolute Value Equations 1. Absolute value equation example. Absolute value equation with no solution. Absolute value equations. Absolute Value Inequalities. Absolute value inequalities Example 1. Absolute Inequalities 2. Absolute value inequalities example 3. Ex 2 Multi-step equation. Solving Equations with the Distributive Property. Solving equations with the distributive property 2. Ex 2: Distributive property to simplify . Ex 1: Distributive property to simplify . Ex 3: Distributive property to simplify . Multistep equations with distribution. Evaluating expressions where individual variable values are unknown. Evaluating expressions with unknown variables 2. Expressions with unknown variables. Expressions with unknown variables 2. Mixture problems 2. Basic Rate Problem. Early Train Word Problem. Patterns in Sequences 1. Patterns in Sequences 2. Equations of Sequence Patterns. Finding the 100th Term in a Sequence. Challenge example: Sum of integers. Integer sums. Integer sums. 2003 AIME II Problem 1. Bunch of examples. Mixture problems 3. Order of Operations examples. Algebra: Linear Equations 1. Algebra: Linear Equations 2. Algebra: Linear Equations 3. Algebra: Linear Equations 4. Averages. Taking percentages. Growing by a percentage. More percent problems. Age word problems 1. Age word problems 2. Age word problems 3.

### CS For All: Introduction to Computer Science and Python Programming

Starts : 2016-06-07
274 votes
edX Free Closed [?] Computer Sciences English Computer Science EdX HarveyMuddX

Looking to get started with computer science while learning to program in Python?

This computer science  course provides an introduction to computer science that’s both challenging and fun. It takes a broad look at the field of computer science through a variety of demonstrations and projects. We’ll cover both low- and high-level concepts, from how the circuits inside a computer represent data to how to design algorithms, as well as how all of this information affects the technology we use today. Additionally, we’ll teach the basics of Python programming, giving us a a way to put our new CS knowledge into practice.

No need to know any programming before starting the course; we’ll teach everything you need to know along the way. All you need to start is a good grasp of algebra, and you can fall in love with both the concepts and the practice of computer science.

### Algebra: Exponents and radicals

260 votes
Khan Academy Free Popular Closed [?] Mathematics Algebra College algebra Exponents and radicals

Solving exponential and radical expressions and equations. Using scientific notation and significant figures. Understanding Exponents. Understanding Exponents 2. Exponent Rules 1. Exponent Rules 2. Level 1 Exponents. Level 2 Exponents. Negative Exponent Intuition. Zero, Negative, and Fractional Exponents. Level 3 exponents. Exponent Rules Part 1. Exponent Rules Part 2. Exponent Properties 1. Exponent Properties 2. Exponent Properties 3. Exponent Properties 4. Exponent Properties 5. Exponent Properties 6. Exponent Properties 7. Exponent Properties Involving Products. Negative and Positive Exponents. Exponent Properties Involving Quotients. Rational Exponents and Exponent Laws. More Rational Exponents and Exponent Laws. Simplifying Expressions with Exponents. Multiplying and Dividing Rational Expressions 1. Multiplying and Dividing Rational Expressions 2. Multiplying and Dividing Rational Expressions 3. Simplifying Expressions with Exponents 2. Simplifying Expressions with Exponents 3. Fractional Exponent Expressions 1. Fractional Exponent Expressions 2. Fractional Exponent Expressions 3. Pythagorean Theorem 1. Pythagorean Theorem 2. Pythagorean Theorem 3. Evaluating exponential expressions. Evaluating exponential expressions 2. Evaluating exponential expressions 3. Scientific notation 1. Scientific notation 2. Scientific notation 3. Scientific Notation I. Scientific Notation Example 2. Scientific Notation 3 (new). Scientific Notation Examples. Multiplying in Scientific Notation. Significant Figures. More on Significant Figures. Addition and Subtraction with Significant Figures. Multiplying and Dividing with Significant Figures. Understanding Square Roots. Approximating Square Roots. Square Roots and Real Numbers. Simplifying Square Roots. Simplifying Square Roots Comment Response. Finding Cube Roots. Simplifying Cube Roots. Radical Equivalent to Rational Exponents. Radical Equivalent to Rational Exponents 2. Simplifying radicals. Simplifying Radical Expressions1. Simplifying Radical Expressions 2. Simplifying Radical Expressions 3. More Simplifying Radical Expressions. Radical Expressions with Higher Roots. Adding and Simplifying Radicals. Subtracting and Simplifying Radicals. Adding and Subtracting Rational Expressions. Multiply and Simplify a Radical Expression 1. Multiply and Simplify a Radical Expression 2. How to Rationalize a Denominator. Solving Radical Equations. Extraneous Solutions to Radical Equations. Solving Radical Equations 1. Solving Radical Equations 2. Solving Radical Equations 3. Applying Radical Equations 1. Applying Radical Equations 2. Applying Radical Equations 3.

### Algebra: Imaginary and complex numbers

253 votes
Khan Academy Free Popular Closed [?] Mathematics Algebra College algebra Imaginary and complex numbers

Understanding and solving equations with imaginary numbers. Introduction to i and Imaginary Numbers. Calculating i Raised to Arbitrary Exponents. Imaginary unit powers. Imaginary Roots of Negative Numbers. i as the Principal Root of -1 (a little technical). Complex numbers. Complex numbers (part 1). Complex numbers (part 2). Plotting complex numbers on the complex plane. The complex plane. Adding Complex Numbers. Subtracting Complex Numbers. Adding and subtracting complex numbers. Multiplying Complex Numbers. Multiplying complex numbers. Complex Conjugates Example. Dividing Complex Numbers. Dividing complex numbers. Absolute value of a complex number. Absolute value of complex numbers. Example: Complex roots for a quadratic. Algebra II: Imaginary and Complex Numbers. Introduction to i and Imaginary Numbers. Calculating i Raised to Arbitrary Exponents. Imaginary unit powers. Imaginary Roots of Negative Numbers. i as the Principal Root of -1 (a little technical). Complex numbers. Complex numbers (part 1). Complex numbers (part 2). Plotting complex numbers on the complex plane. The complex plane. Adding Complex Numbers. Subtracting Complex Numbers. Adding and subtracting complex numbers. Multiplying Complex Numbers. Multiplying complex numbers. Complex Conjugates Example. Dividing Complex Numbers. Dividing complex numbers. Absolute value of a complex number. Absolute value of complex numbers. Example: Complex roots for a quadratic. Algebra II: Imaginary and Complex Numbers.

### Algebra: ck12.org Algebra 1 Examples

119 votes
Khan Academy Free Closed [?] Mathematics Algebra Ck12.org Algebra 1 Examples College algebra

Select problems from ck12.org's Algebra 1 FlexBook (Open Source Textbook). This is a good playlist to review if you want to make sure you have a good understanding of all of the major topics in Algebra I. Variable Expressions. Order of Operations Example. Patterns and Equations. Equations and Inequalities. Domain and Range of a Function. Functions as Graphs. Word Problem Solving Plan 1. Word Problem Solving Strategies. Integers and Rational Numbers. Addition of Rational Numbers. Subtraction of Rational Numbers. Multiplication of Rational Numbers. Distributive Property Example 1. Division of Rational Numbers. Square Roots and Real Numbers. Problem Solving Word Problems 2. One Step Equations. Two-Step Equations. Ex 1: Distributive property to simplify . Ex 3: Distributive property to simplify . Ratio and Proportion. Scale and Indirect Measurement. Percent Problems. Another percent example. The Coordinate Plane. Graphing Using Intercepts. Graphs of Linear Equations. Slope and Rate of Change. Graphs Using Slope-Intercept Form. Direct Variation Models. Function example problems. Word Problem Solving 4. Linear Equations in Slope Intercept Form. Linear Equations in Point Slope Form. Linear Equations in Standard Form. Equations of Parallel and Perpendicular Lines. Fitting a Line to Data. Predicting with Linear Models. Using a Linear Model. Inequalities Using Addition and Subtraction. Inequalities Using Multiplication and Division. Compound Inequalities. Absolute Value Equations. Absolute Value Inequalities. Graphing Inequalities. Solving Linear Systems by Graphing. Solving Linear Systems by Substitution. Solving Systems of Equations by Elimination. Solving Systems of Equations by Multiplication. Special Types of Linear Systems. Systems of Linear Inequalities. Exponent Properties Involving Products. Exponent Properties Involving Quotients. Zero, Negative, and Fractional Exponents. Scientific Notation. Exponential Growth Functions. Exponential Decay Functions. Geometric Sequences (Introduction). Word Problem Solving- Exponential Growth and Decay. Addition and Subtraction of Polynomials. Multiplication of Polynomials. Special Products of Binomials. Polynomial Equations in Factored Form. Factoring quadratic expressions. Factoring Special Products. Factor by Grouping and Factoring Completely. Graphs of Quadratic Functions. Solving Quadratic Equations by Graphing. Solving Quadratic Equations by Square Roots. Solving Quadratic Equations by Completing the Square. How to Use the Quadratic Formula. Proof of Quadratic Formula. Discriminant of Quadratic Equations. Linear, Quadratic, and Exponential Models. Identifying Quadratic Models. Identifying Exponential Models. Quadratic Regression. Shifting functions. Radical Expressions with Higher Roots. More Simplifying Radical Expressions. How to Rationalize a Denominator. Extraneous Solutions to Radical Equations. Radical Equation Examples. More Involved Radical Equation Example. Pythagorean Theorem. Distance Formula. Midpoint Formula. Visual Pythagorean Theorem Proof. Average or Central Tendency: Arithmetic Mean, Median, and Mode. Range, Variance and Standard Deviation as Measures of Dispersion. Stem and Leaf Plots. Histograms. Box-and-whisker Plot. Proportionality. Asymptotes of Rational Functions. Another Rational Function Graph Example. A Third Example of Graphing a Rational Function. Polynomial Division. Simplifying Rational Expressions Introduction. Multiplying and Dividing Rational Expressions. Adding Rational Expressions Example 1. Adding Rational Expressions Example 2. Adding Rational Expressions Example 3. Solving Rational Equations. Two more examples of solving rational equations. Surveys and Samples.

### Intermediate Algebra

Starts : 2013-01-28
118 votes
Coursera Free Mathematics English

This course is taught so that students will acquire a solid foundation in algebra. The course concentrates on the various functions that are important to the study of calculus.

### Arithmetic and pre-algebra: Fractions

117 votes
Khan Academy Free Closed [?] Mathematics Arithmetic Arithmetic and Pre-Algebra Fractions

Understanding fractions conceptually, using operations with fractions, and converting fractions. Introduction to fractions. Identifying Fraction Parts. Recognizing fractions exercise. Recognizing fractions 0.5. Numerator and Denominator of a Fraction. Identifying numerators and denominators. Plotting basic fractions on the number line. Fractions on the number line 1. Fraction word problems 1 exercise. Fraction word problems 1. Visualizing equivalent fractions. Equivalent fraction word problem example. Equivalent fraction word problem example 2. Equivalent fraction word problem example 3. Visualizing equivalent fractions. Fractions cut and copy 1 exercise. Fractions cut and copy 1. Fractions in lowest terms. Simplifying fractions. Equivalent fractions. Equivalent Fractions Example. Finding Common Denominators. Equivalent fractions. Equivalent fractions 2. Comparing Fractions. Comparing Fractions 2. Comparing fractions 1. Comparing fractions 2. Ordering Fractions. Ordering fractions. Decomposing a fraction visually. Decomposing a mixed number. Adding up to a fraction drag and drop example. Decomposing fractions. Adding Fractions with Like Denominators. Adding fractions with common denominators. Subtracting Fractions. Subtracting fractions with common denominators. Adding and subtracting fractions. Adding Fractions with Unlike Denominators. Adding fractions (ex 1). Adding fractions. Subtracting fractions with unlike denominators. Subtracting fractions. Adding and subtracting fractions. Adding fractions with different signs. Adding fractions examples. What fraction of spider eyes are looking at me?. How much more piano practice?. How long is this lizard?. Adding and subtracting fractions with like denominators word problems. Adding fractions with unlike denominators word problem. Subtracting fractions with unlike denominators word problem. Adding and subtracting fractions with unlike denominators word problems. Multiplying fractions and whole numbers. Multiplying fractions by integers. Multiplying a fraction by a fraction. Multiplying Fractions. Multiplying fractions 0.5. Multiplying negative and positive fractions. Multiplying fractions. Multiplying fractions by whole numbers word problems. Multiplication as scaling. Fraction multiplication as scaling. Creating a fraction through division of whole numbers. My share of soap as a mixed number on a number line. Understanding fractions as division. Putting out bowls of potpurri. Spending the weekend studying. How many t-shirts can I make?. Dividing fractions by whole numbers. Dividing whole numbers by fractions. Division with fractions and whole numbers word problems. Examples of dividing negative fractions. Dividing fractions. Dividing Fractions Example. Dividing positive and negative fractions. Dividing fractions word problems. Dividing fractions word problems 2. How long will three movies last?. My family loves milk. We must have eaten more pie!. Multiplying fractions and whole numbers word problems. Making banana oat muffins...mmm. How much laundry detergent left?. Biking to a friend. Multiplying fractions by fractions word problems. Comparing improper fractions and mixed numbers. Mixed numbers and improper fractions. Proper and Improper Fractions. Converting Mixed Numbers to Improper Fractions. Changing a Mixed Number to an Improper Fraction. Changing an Improper Fraction to a Mixed Number. Converting mixed numbers and improper fractions. Positive improper fractions on the number line. Fractions on the number line 2. Ordering improper fractions and mixed numbers. Comparing improper fractions and mixed numbers. Ordering improper fractions and mixed numbers. Fractions cut and copy 2 exercise example. Fractions cut and copy 2. Points on a number line. Fractions on the number line 3. Adding Mixed Numbers. Adding Mixed Numbers with Unlike Denominators. Adding Mixed Numbers Word Problem. Subtracting Mixed Numbers. Subtracting Mixed Numbers 2. Subtracting Mixed Numbers Word Problem. Adding and subtracting mixed numbers 0.5 (ex 1). Adding and subtracting mixed numbers 0.5 (ex 2). Adding and subtracting mixed numbers 0.5. Adding and subtracting mixed numbers 1 (ex 1). Adding and subtracting mixed numbers 1 (ex 2). Adding and subtracting mixed numbers 1. Multiplying Fractions and Mixed Numbers. Multiplying Mixed Numbers. Multiplying mixed numbers 1. Reciprocal of a Mixed Number. Dividing Mixed Numbers. Dividing Mixed Numbers and Fractions. Decimals and Fractions. Converting Fractions to Decimals Example. Converting fractions to decimals (ex1). Converting fractions to decimals (ex2). Converting fractions to decimals. Converting fractions to decimals. Representing a number as a decimal, percent, and fraction 2. Representing a number as a decimal, percent, and fraction. Converting decimals to fractions 1 (ex 1). Converting decimals to fractions 1 (ex 2). Converting decimals to fractions 1 (ex 3). Converting decimals to fractions 1. Converting decimals to fractions 2 (ex 1). Converting decimals to fractions 2 (ex 2). Converting decimals to fractions 2. Ordering numeric expressions. Ordering numbers. Converting a fraction to a repeating decimal. Writing fractions as repeating decimals. Number Sets. Number Sets 1. Number Sets 2. Number Sets 3. Introduction to fractions. Identifying Fraction Parts. Recognizing fractions exercise. Recognizing fractions 0.5. Numerator and Denominator of a Fraction. Identifying numerators and denominators. Plotting basic fractions on the number line. Fractions on the number line 1. Fraction word problems 1 exercise. Fraction word problems 1. Visualizing equivalent fractions. Equivalent fraction word problem example. Equivalent fraction word problem example 2. Equivalent fraction word problem example 3. Visualizing equivalent fractions. Fractions cut and copy 1 exercise. Fractions cut and copy 1. Fractions in lowest terms. Simplifying fractions. Equivalent fractions. Equivalent Fractions Example. Finding Common Denominators. Equivalent fractions. Equivalent fractions 2. Comparing Fractions. Comparing Fractions 2. Comparing fractions 1. Comparing fractions 2. Ordering Fractions. Ordering fractions. Decomposing a fraction visually. Decomposing a mixed number. Adding up to a fraction drag and drop example. Decomposing fractions. Adding Fractions with Like Denominators. Adding fractions with common denominators. Subtracting Fractions. Subtracting fractions with common denominators. Adding and subtracting fractions. Adding Fractions with Unlike Denominators. Adding fractions (ex 1). Adding fractions. Subtracting fractions with unlike denominators. Subtracting fractions. Adding and subtracting fractions. Adding fractions with different signs. Adding fractions examples. What fraction of spider eyes are looking at me?. How much more piano practice?. How long is this lizard?. Adding and subtracting fractions with like denominators word problems. Adding fractions with unlike denominators word problem. Subtracting fractions with unlike denominators word problem. Adding and subtracting fractions with unlike denominators word problems. Multiplying fractions and whole numbers. Multiplying fractions by integers. Multiplying a fraction by a fraction. Multiplying Fractions. Multiplying fractions 0.5. Multiplying negative and positive fractions. Multiplying fractions. Multiplying fractions by whole numbers word problems. Multiplication as scaling. Fraction multiplication as scaling. Creating a fraction through division of whole numbers. My share of soap as a mixed number on a number line. Understanding fractions as division. Putting out bowls of potpurri. Spending the weekend studying. How many t-shirts can I make?. Dividing fractions by whole numbers. Dividing whole numbers by fractions. Division with fractions and whole numbers word problems. Examples of dividing negative fractions. Dividing fractions. Dividing Fractions Example. Dividing positive and negative fractions. Dividing fractions word problems. Dividing fractions word problems 2. How long will three movies last?. My family loves milk. We must have eaten more pie!. Multiplying fractions and whole numbers word problems. Making banana oat muffins...mmm. How much laundry detergent left?. Biking to a friend. Multiplying fractions by fractions word problems. Comparing improper fractions and mixed numbers. Mixed numbers and improper fractions. Proper and Improper Fractions. Converting Mixed Numbers to Improper Fractions. Changing a Mixed Number to an Improper Fraction. Changing an Improper Fraction to a Mixed Number. Converting mixed numbers and improper fractions. Positive improper fractions on the number line. Fractions on the number line 2. Ordering improper fractions and mixed numbers. Comparing improper fractions and mixed numbers. Ordering improper fractions and mixed numbers. Fractions cut and copy 2 exercise example. Fractions cut and copy 2. Points on a number line. Fractions on the number line 3. Adding Mixed Numbers. Adding Mixed Numbers with Unlike Denominators. Adding Mixed Numbers Word Problem. Subtracting Mixed Numbers. Subtracting Mixed Numbers 2. Subtracting Mixed Numbers Word Problem. Adding and subtracting mixed numbers 0.5 (ex 1). Adding and subtracting mixed numbers 0.5 (ex 2). Adding and subtracting mixed numbers 0.5. Adding and subtracting mixed numbers 1 (ex 1). Adding and subtracting mixed numbers 1 (ex 2). Adding and subtracting mixed numbers 1. Multiplying Fractions and Mixed Numbers. Multiplying Mixed Numbers. Multiplying mixed numbers 1. Reciprocal of a Mixed Number. Dividing Mixed Numbers. Dividing Mixed Numbers and Fractions. Decimals and Fractions. Converting Fractions to Decimals Example. Converting fractions to decimals (ex1). Converting fractions to decimals (ex2). Converting fractions to decimals. Converting fractions to decimals. Representing a number as a decimal, percent, and fraction 2. Representing a number as a decimal, percent, and fraction. Converting decimals to fractions 1 (ex 1). Converting decimals to fractions 1 (ex 2). Converting decimals to fractions 1 (ex 3). Converting decimals to fractions 1. Converting decimals to fractions 2 (ex 1). Converting decimals to fractions 2 (ex 2). Converting decimals to fractions 2. Ordering numeric expressions. Ordering numbers. Converting a fraction to a repeating decimal. Writing fractions as repeating decimals. Number Sets. Number Sets 1. Number Sets 2. Number Sets 3.

### Arithmetic and pre-algebra: Addition and subtraction

117 votes
Khan Academy Free Closed [?] Mathematics Addition and subtraction Arithmetic Arithmetic and Pre-Algebra

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.

### Algebra: Polynomials

115 votes
Khan Academy Free Closed [?] Mathematics Algebra College algebra Polynomials

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.

### Arithmetic and Pre-Algebra: Percents

115 votes
Khan Academy Free Closed [?] Mathematics Arithmetic Arithmetic and Pre-Algebra Percents

Understanding, solving, and converting percents. Describing the Meaning of Percent. Describing the Meaning of Percent 2. Representing a number as a decimal, percent, and fraction. Converting decimals to percents (ex 1). Converting decimals to percents (ex 2). Identifying Percent Amount and Base. Solving Percent Problems. Solving Percent Problems 2. Solving Percent Problems 3. Growing by a percentage. Representing a number as a decimal, percent, and fraction 2. Ordering numeric expressions.

### Algebra: Systems of equations and inequalities

113 votes
Khan Academy Free Closed [?] Mathematics Algebra College algebra Systems of equations and inequalities

Solving a system of equations or inequalities in two variables by elimination, substitution, and graphing. Trolls, Tolls, and Systems of Equations. Solving the Troll Riddle Visually. Solving Systems Graphically. Graphing systems of equations. King's Cupcakes: Solving Systems by Elimination. How many bags of potato chips do people eat?. Simple Elimination Practice. Systems of equations with simple elimination. Systems with Elimination Practice. Systems of equations with elimination. Talking bird solves systems with substitution. Practice using substitution for systems. Systems of equations with substitution. Systems of equations. Systems of equations word problems. Solving linear systems by graphing. Graphing systems of equations. Solving linear systems by substitution. Systems of equations with substitution. Solving systems of equations by elimination. Systems of equations with simple elimination. Solving systems of equations by multiplication. Systems of equations with elimination. Systems of equations. Special types of linear systems. Solutions to systems of equations. Old video on systems of equations. Solving linear systems by graphing. Testing a solution for a system of equations. Graphing Systems of Equations. Graphical Systems Application Problem. Example 2: Graphically Solving Systems. Example 3: Graphically Solving Systems. Solving Systems Graphically. Graphing systems of equations. Inconsistent systems of equations. Infinite solutions to systems. Consistent and Inconsistent Systems. Independent and Dependent Systems. Practice thinking about number of solutions to systems. Graphical solutions to systems. Solutions to systems of equations. Constructing solutions to systems of equations. Constructing consistent and inconsistent systems. Example 1: Solving systems by substitution. Example 2: Solving systems by substitution. Example 3: Solving systems by substitution. The Substitution Method. Substitution Method 2. Substitution Method 3. Practice using substitution for systems. Systems of equations with substitution. Example 1: Solving systems by elimination. Example 2: Solving systems by elimination. Addition Elimination Method 1. Addition Elimination Method 2. Addition Elimination Method 3. Addition Elimination Method 4. Example 3: Solving systems by elimination. Simple Elimination Practice. Systems of equations with simple elimination. Systems with Elimination Practice. Systems of equations with elimination. Using a system of equations to find the price of apples and oranges. Linear systems word problem with substitution. Systems of equations word problems. Systems of equation to realize you are getting ripped off. Thinking about multiple solutions to a system of equations. Understanding systems of equations word problems. Systems and rate problems. Systems and rate problems 2. Systems and rate problems 3. Officer on Horseback. Two Passing Bicycles Word Problem. Passed Bike Word Problem. System of equations for passing trains problem. Overtaking Word Problem. Multple examples of multiple constraint problems. Testing Solutions for a System of Inequalities. Visualizing the solution set for a system of inequalities. Graphing systems of inequalities. Graphing systems of inequalities 2. Graphing systems of inequalities. Graphing and solving systems of inequalities. System of Inequalities Application. CA Algebra I: Systems of Inequalities. Systems of Three Variables. Systems of Three Variables 2. Solutions to Three Variable System. Solutions to Three Variable System 2. Three Equation Application Problem. Non-Linear Systems of Equations 3. Non-Linear Systems of Equations 1. Non-Linear Systems of Equations 2. Non-Linear Systems of Equations 3. Systems of nonlinear equations 1. Systems of nonlinear equations 2. Systems of nonlinear equations 3. Systems of nonlinear equations. Trolls, Tolls, and Systems of Equations. Solving the Troll Riddle Visually. Solving Systems Graphically. Graphing systems of equations. King's Cupcakes: Solving Systems by Elimination. How many bags of potato chips do people eat?. Simple Elimination Practice. Systems of equations with simple elimination. Systems with Elimination Practice. Systems of equations with elimination. Talking bird solves systems with substitution. Practice using substitution for systems. Systems of equations with substitution. Systems of equations. Systems of equations word problems. Solving linear systems by graphing. Graphing systems of equations. Solving linear systems by substitution. Systems of equations with substitution. Solving systems of equations by elimination. Systems of equations with simple elimination. Solving systems of equations by multiplication. Systems of equations with elimination. Systems of equations. Special types of linear systems. Solutions to systems of equations. Old video on systems of equations. Solving linear systems by graphing. Testing a solution for a system of equations. Graphing Systems of Equations. Graphical Systems Application Problem. Example 2: Graphically Solving Systems. Example 3: Graphically Solving Systems. Solving Systems Graphically. Graphing systems of equations. Inconsistent systems of equations. Infinite solutions to systems. Consistent and Inconsistent Systems. Independent and Dependent Systems. Practice thinking about number of solutions to systems. Graphical solutions to systems. Solutions to systems of equations. Constructing solutions to systems of equations. Constructing consistent and inconsistent systems. Example 1: Solving systems by substitution. Example 2: Solving systems by substitution. Example 3: Solving systems by substitution. The Substitution Method. Substitution Method 2. Substitution Method 3. Practice using substitution for systems. Systems of equations with substitution. Example 1: Solving systems by elimination. Example 2: Solving systems by elimination. Addition Elimination Method 1. Addition Elimination Method 2. Addition Elimination Method 3. Addition Elimination Method 4. Example 3: Solving systems by elimination. Simple Elimination Practice. Systems of equations with simple elimination. Systems with Elimination Practice. Systems of equations with elimination. Using a system of equations to find the price of apples and oranges. Linear systems word problem with substitution. Systems of equations word problems. Systems of equation to realize you are getting ripped off. Thinking about multiple solutions to a system of equations. Understanding systems of equations word problems. Systems and rate problems. Systems and rate problems 2. Systems and rate problems 3. Officer on Horseback. Two Passing Bicycles Word Problem. Passed Bike Word Problem. System of equations for passing trains problem. Overtaking Word Problem. Multple examples of multiple constraint problems. Testing Solutions for a System of Inequalities. Visualizing the solution set for a system of inequalities. Graphing systems of inequalities. Graphing systems of inequalities 2. Graphing systems of inequalities. Graphing and solving systems of inequalities. System of Inequalities Application. CA Algebra I: Systems of Inequalities. Systems of Three Variables. Systems of Three Variables 2. Solutions to Three Variable System. Solutions to Three Variable System 2. Three Equation Application Problem. Non-Linear Systems of Equations 3. Non-Linear Systems of Equations 1. Non-Linear Systems of Equations 2. Non-Linear Systems of Equations 3. Systems of nonlinear equations 1. Systems of nonlinear equations 2. Systems of nonlinear equations 3. Systems of nonlinear equations.

### IIT JEE Questions

113 votes
Khan Academy Free Closed [?] Mathematics IIT JEE Questions

Questions from previous IIT JEEs. IIT JEE Trigonometry Problem 1. IIT JEE Perpendicular Planes (Part 1). IIT JEE Perpendicular Plane (part 2). IIT JEE Complex Root Probability (part 1). IIT JEE Complex Root Probability (part 2). IIT JEE Position Vectors. IIT JEE Integral Limit. IIT JEE Algebraic Manipulation. IIT JEE Function Maxima. IIT JEE Diameter Slope. IIT JEE Hairy Trig and Algebra (part 1). IIT JEE Hairy Trig and Algebra (Part 2). IIT JEE Hairy Trig and Algebra (Part 3). IIT JEE Complex Numbers (part 1). IIT JEE Complex Numbers (part 2). IIT JEE Complex Numbers (part 3). IIT JEE Differentiability and Boundedness. IIT JEE Integral with Binomial Expansion. IIT JEE Symmetric and Skew-Symmetric Matrices. IIT JEE Trace and Determinant. IIT JEE Divisible Determinants. IIT JEE Circle Hyperbola Intersection. IIT JEE Circle Hyperbola Common Tangent Part 1. IIT JEE Circle Hyperbola Common Tangent Part 2. IIT JEE Circle Hyperbola Common Tangent Part 3. IIT JEE Circle Hyperbola Common Tangent Part 4. IIT JEE Circle Hyperbola Common Tangent Part 5. IIT JEE Trigonometric Constraints. IIT JEE Trigonometric Maximum. Vector Triple Product Expansion (very optional). IIT JEE Lagrange's Formula. Tangent Line Hyperbola Relationship (very optional). 2010 IIT JEE Paper 1 Problem 50 Hyperbola Eccentricity. Normal vector from plane equation. Point distance to plane. Distance Between Planes. Complex Determinant Example. Series Sum Example. Trigonometric System Example. Simple Differential Equation Example. IIT JEE Trigonometry Problem 1. IIT JEE Perpendicular Planes (Part 1). IIT JEE Perpendicular Plane (part 2). IIT JEE Complex Root Probability (part 1). IIT JEE Complex Root Probability (part 2). IIT JEE Position Vectors. IIT JEE Integral Limit. IIT JEE Algebraic Manipulation. IIT JEE Function Maxima. IIT JEE Diameter Slope. IIT JEE Hairy Trig and Algebra (part 1). IIT JEE Hairy Trig and Algebra (Part 2). IIT JEE Hairy Trig and Algebra (Part 3). IIT JEE Complex Numbers (part 1). IIT JEE Complex Numbers (part 2). IIT JEE Complex Numbers (part 3). IIT JEE Differentiability and Boundedness. IIT JEE Integral with Binomial Expansion. IIT JEE Symmetric and Skew-Symmetric Matrices. IIT JEE Trace and Determinant. IIT JEE Divisible Determinants. IIT JEE Circle Hyperbola Intersection. IIT JEE Circle Hyperbola Common Tangent Part 1. IIT JEE Circle Hyperbola Common Tangent Part 2. IIT JEE Circle Hyperbola Common Tangent Part 3. IIT JEE Circle Hyperbola Common Tangent Part 4. IIT JEE Circle Hyperbola Common Tangent Part 5. IIT JEE Trigonometric Constraints. IIT JEE Trigonometric Maximum. Vector Triple Product Expansion (very optional). IIT JEE Lagrange's Formula. Tangent Line Hyperbola Relationship (very optional). 2010 IIT JEE Paper 1 Problem 50 Hyperbola Eccentricity. Normal vector from plane equation. Point distance to plane. Distance Between Planes. Complex Determinant Example. Series Sum Example. Trigonometric System Example. Simple Differential Equation Example.

### Algebra: Introduction to algebra

112 votes
Khan Academy Free Closed [?] Mathematics Algebra College algebra Introduction to algebra

Videos exploring why algebra was developed and how it helps us explain our world. Origins of Algebra. Abstract-ness. The Beauty of Algebra. Descartes and Cartesian Coordinates. Why all the letters in Algebra?. What is a variable?. Why aren't we using the multiplication sign. Example: evaluating an expression. Example: evaluate a formula using substitution. Evaluating exponential expressions 2. Evaluating expressions in one variable. Expressions with two variables. Example: Evaluating expressions with 2 variables. Examples of evaluating variable expressions. Evaluating expressions in 2 variables. Example evaluating expressions in word problems. Evaluating expressions 3. Combining like terms. Adding like rational terms. Combining Like Terms 1. Combining Like Terms 2. Combining Like Terms 3. Combining like terms. Combining like terms and the distributive property. Combining like terms with distribution. Factoring a linear expression with rational terms. Distributive property with rational terms. Manipulating linear expressions with rational coefficients. Equivalent forms of expressions 1. Equivalent forms of expressions 1. Writing Expressions 1. Writing expressions. Writing Expressions 2. Writing expressions 2 exercise example. Writing expressions 2. Interpreting linear expressions example. Interpreting linear expressions example 2. Interpreting linear expressions. Writing expressions 3 exercise example 1. Writing expressions 3 exercise example 2. Writing expressions 3 exercise example 3. Writing expressions 3. Why we do the same thing to both sides: simple equations. Representing a relationship with a simple equation. One-Step Equation Intuition. One step equation intuition exercise intro. One step equation intuition. Adding and subtracting the same thing from both sides. Intuition why we divide both sides. Why we do the same thing to both sides: two-step equations. Why we do the same thing to both sides: multi-step equations. Why we do the same thing to both sides basic systems. Why all the letters in Algebra?. Super Yoga Plans- Basic Variables and Equations. Super Yoga Plans- Solving One-Step Equations. Constructing and solving equations in the real world 1. Super Yoga Plans- Plotting Points. Super Yoga Plans- Solving Systems by Substitution. Super Yoga Plans- Solving Systems by Elimination. Variables Expressions and Equations. Solving equations and inequalities through substitution example 1. Solving equations and inequalities through substitution example 2. Solving equations and inequalities through substitution example 3. Solving equations and inequalities through substitution example 4. Solving equations and inequalities through substitution. Dependent and independent variables exercise example 1. Dependent and independent variables exercise example 2. Dependent and independent variables exercise example 3. Dependent and independent variables. Origins of Algebra. Abstract-ness. The Beauty of Algebra. Descartes and Cartesian Coordinates. Why all the letters in Algebra?. What is a variable?. Why aren't we using the multiplication sign. Example: evaluating an expression. Example: evaluate a formula using substitution. Evaluating exponential expressions 2. Evaluating expressions in one variable. Expressions with two variables. Example: Evaluating expressions with 2 variables. Examples of evaluating variable expressions. Evaluating expressions in 2 variables. Example evaluating expressions in word problems. Evaluating expressions 3. Combining like terms. Adding like rational terms. Combining Like Terms 1. Combining Like Terms 2. Combining Like Terms 3. Combining like terms. Combining like terms and the distributive property. Combining like terms with distribution. Factoring a linear expression with rational terms. Distributive property with rational terms. Manipulating linear expressions with rational coefficients. Equivalent forms of expressions 1. Equivalent forms of expressions 1. Writing Expressions 1. Writing expressions. Writing Expressions 2. Writing expressions 2 exercise example. Writing expressions 2. Interpreting linear expressions example. Interpreting linear expressions example 2. Interpreting linear expressions. Writing expressions 3 exercise example 1. Writing expressions 3 exercise example 2. Writing expressions 3 exercise example 3. Writing expressions 3. Why we do the same thing to both sides: simple equations. Representing a relationship with a simple equation. One-Step Equation Intuition. One step equation intuition exercise intro. One step equation intuition. Adding and subtracting the same thing from both sides. Intuition why we divide both sides. Why we do the same thing to both sides: two-step equations. Why we do the same thing to both sides: multi-step equations. Why we do the same thing to both sides basic systems. Why all the letters in Algebra?. Super Yoga Plans- Basic Variables and Equations. Super Yoga Plans- Solving One-Step Equations. Constructing and solving equations in the real world 1. Super Yoga Plans- Plotting Points. Super Yoga Plans- Solving Systems by Substitution. Super Yoga Plans- Solving Systems by Elimination. Variables Expressions and Equations. Solving equations and inequalities through substitution example 1. Solving equations and inequalities through substitution example 2. Solving equations and inequalities through substitution example 3. Solving equations and inequalities through substitution example 4. Solving equations and inequalities through substitution. Dependent and independent variables exercise example 1. Dependent and independent variables exercise example 2. Dependent and independent variables exercise example 3. Dependent and independent variables.

### Algebra: Matrices

109 votes
Khan Academy Free Closed [?] Mathematics Algebra College algebra Matrices

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.

### Arithmetic and Pre-Algebra: Negative numbers

107 votes
Khan Academy Free Closed [?] Mathematics Arithmetic Arithmetic and Pre-Algebra Negative numbers

Understanding and using negative numbers. Negative Numbers Introduction. Ordering Negative Numbers. Adding Negative Numbers. Adding integers with different signs. Adding/Subtracting negative numbers. Multiplying Positive and Negative Numbers. Dividing Positive and Negative Numbers. Why a Negative Times a Negative is a Positive.

### Arithmetic and pre-algebra: Multiplication and division

106 votes
Khan Academy Free Closed [?] Mathematics Arithmetic Arithmetic and Pre-Algebra Multiplication and division

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.

### Precalculus

104 votes
Khan Academy Free Closed [?] Mathematics Math Precalculus Precalculus Algebra

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).

### Algebra: Quadratic functions

101 votes
Khan Academy Free Closed [?] Mathematics Algebra College algebra Quadratic functions

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).