Online courses directory (4179)
Exploring quadratics and higher degree polynomials. Also in-depth look at rational functions. Factoring quadratic expressions. Examples: Factoring simple quadratics. Factoring polynomials 1. Example 1: Solving a quadratic equation by factoring. Example 2: Solving a quadratic equation by factoring. Solving quadratics by factoring. Example 1: Factoring trinomials with a common factor. Factoring polynomials 2. Solving quadratics by factoring 2. Factoring Special Products. Example 1: Factoring difference of squares. Factoring difference of squares 1. Example 2: Factoring difference of squares. Factoring difference of squares 2. Factoring to produce difference of squares. Factoring difference of squares 3. Example 5: Factoring by grouping. Example 6: Factoring by grouping. Factoring polynomials by grouping. Solving Quadratic Equations by Square Roots. Solving quadratics by taking the square root. Solving Quadratic Equations by Completing the Square. Completing the square 1. Completing the square 2. How to use the Quadratic Formula. Proof of Quadratic Formula. Quadratic formula. Example: Complex roots for a quadratic. Discriminant of Quadratic Equations. Discriminant for Types of Solutions for a Quadratic. Solutions to quadratic equations. Quadratic Inequalities. Quadratic Inequalities (Visual Explanation). Terms coefficients and exponents in a polynomial. Addition and Subtraction of Polynomials. Adding and subtracting polynomials. Multiplying Polynomials. Multiplying Polynomials 3. Multiplying polynomials. Polynomial Division. 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. Binomial Theorem (part 1). Binomial Theorem (part 2). Binomial Theorem (part 3). Simplifying Rational Expressions Introduction. Simplifying Rational Expressions 1. Simplifying Rational Expressions 2. Simplifying Rational Expressions 3. Adding and Subtracting Rational Expressions. Adding and Subtracting Rational Expressions 2. Adding and Subtracting Rational Expressions 3. Rational Equations. Solving Rational Equations 1. Solving Rational Equations 2. Solving Rational Equations 3. Subtracting Rational Expressions. Applying Rational Equations 1. Applying Rational Equations 2. Applying Rational Equations 3. Multiplying and Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions 1. Multiplying and Dividing Rational Expressions 2. Multiplying and Dividing Rational Expressions 3. Extraneous Solutions to Rational Equations. Rational Inequalities. Rational Inequalities 2. Asymptotes of Rational Functions. Another Rational Function Graph Example. A Third Example of Graphing a Rational Function. Partial Fraction Expansion 1. Partial Fraction Expansion 2. Partial Fraction Expansion 3. Partial fraction expansion. Factoring quadratic expressions. Examples: Factoring simple quadratics. Factoring polynomials 1. Example 1: Solving a quadratic equation by factoring. Example 2: Solving a quadratic equation by factoring. Solving quadratics by factoring. Example 1: Factoring trinomials with a common factor. Factoring polynomials 2. Solving quadratics by factoring 2. Factoring Special Products. Example 1: Factoring difference of squares. Factoring difference of squares 1. Example 2: Factoring difference of squares. Factoring difference of squares 2. Factoring to produce difference of squares. Factoring difference of squares 3. Example 5: Factoring by grouping. Example 6: Factoring by grouping. Factoring polynomials by grouping. Solving Quadratic Equations by Square Roots. Solving quadratics by taking the square root. Solving Quadratic Equations by Completing the Square. Completing the square 1. Completing the square 2. How to use the Quadratic Formula. Proof of Quadratic Formula. Quadratic formula. Example: Complex roots for a quadratic. Discriminant of Quadratic Equations. Discriminant for Types of Solutions for a Quadratic. Solutions to quadratic equations. Quadratic Inequalities. Quadratic Inequalities (Visual Explanation). Terms coefficients and exponents in a polynomial. Addition and Subtraction of Polynomials. Adding and subtracting polynomials. Multiplying Polynomials. Multiplying Polynomials 3. Multiplying polynomials. Polynomial Division. 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. Binomial Theorem (part 1). Binomial Theorem (part 2). Binomial Theorem (part 3). Simplifying Rational Expressions Introduction. Simplifying Rational Expressions 1. Simplifying Rational Expressions 2. Simplifying Rational Expressions 3. Adding and Subtracting Rational Expressions. Adding and Subtracting Rational Expressions 2. Adding and Subtracting Rational Expressions 3. Rational Equations. Solving Rational Equations 1. Solving Rational Equations 2. Solving Rational Equations 3. Subtracting Rational Expressions. Applying Rational Equations 1. Applying Rational Equations 2. Applying Rational Equations 3. Multiplying and Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions 1. Multiplying and Dividing Rational Expressions 2. Multiplying and Dividing Rational Expressions 3. Extraneous Solutions to Rational Equations. Rational Inequalities. Rational Inequalities 2. Asymptotes of Rational Functions. Another Rational Function Graph Example. A Third Example of Graphing a Rational Function. Partial Fraction Expansion 1. Partial Fraction Expansion 2. Partial Fraction Expansion 3. Partial fraction expansion.
Basics of probability and combinatorics. Basic Probability. Example: Marbles from a bag. Example: Picking a non-blue marble. Example: Picking a yellow marble. Probability 1. Probability with Playing Cards and Venn Diagrams. Addition Rule for Probability. Compound Probability of Independent Events. Getting At Least One Heads. Example: Probability of rolling doubles. LeBron Asks: What are the chances of making 10 free throws in a row?. LeBron Asks: What are the chances of three free throws versus one three pointer?. Frequency Probability and Unfair Coins. Example: Getting two questions right on an exam. Example: Rolling even three times. Independent probability. Introduction to dependent probability. Example: Dependent probability. Example: Is an event independent or dependent?. Example: Bag of unfair coins. Dependent probability. Monty Hall Problem. Permutations. Combinations. Counting 2. Example: Ways to arrange colors. Example: 9 card hands. Example: Ways to pick officers. Permutations. Combinations. Permutations and combinations. Example: Probability through counting outcomes. Example: All the ways you can flip a coin. Getting Exactly Two Heads (Combinatorics). Probability and Combinations (part 2). Probability using Combinations. Exactly Three Heads in Five Flips. Example: Different ways to pick officers. Example: Combinatorics and probability. Example: Lottery probability. Mega Millions Jackpot Probability. Generalizing with Binomial Coefficients (bit advanced). Conditional Probability and Combinations. Conditional Probability (Bayes Theorem) Visualized. Birthday Probability Problem. Probability with permutations and combinations. Basic Probability. Example: Marbles from a bag. Example: Picking a non-blue marble. Example: Picking a yellow marble. Probability 1. Probability with Playing Cards and Venn Diagrams. Addition Rule for Probability. Compound Probability of Independent Events. Getting At Least One Heads. Example: Probability of rolling doubles. LeBron Asks: What are the chances of making 10 free throws in a row?. LeBron Asks: What are the chances of three free throws versus one three pointer?. Frequency Probability and Unfair Coins. Example: Getting two questions right on an exam. Example: Rolling even three times. Independent probability. Introduction to dependent probability. Example: Dependent probability. Example: Is an event independent or dependent?. Example: Bag of unfair coins. Dependent probability. Monty Hall Problem. Permutations. Combinations. Counting 2. Example: Ways to arrange colors. Example: 9 card hands. Example: Ways to pick officers. Permutations. Combinations. Permutations and combinations. Example: Probability through counting outcomes. Example: All the ways you can flip a coin. Getting Exactly Two Heads (Combinatorics). Probability and Combinations (part 2). Probability using Combinations. Exactly Three Heads in Five Flips. Example: Different ways to pick officers. Example: Combinatorics and probability. Example: Lottery probability. Mega Millions Jackpot Probability. Generalizing with Binomial Coefficients (bit advanced). Conditional Probability and Combinations. Conditional Probability (Bayes Theorem) Visualized. Birthday Probability Problem. Probability with permutations and combinations.
An assortment of concepts in math that help us deal with sequences and proofs. Proof by Induction. Alternate Proof to Induction for Integer Sum. Explicit and recursive definitions of sequences. Arithmetic sequences. Finding the 100th Term in a Sequence. Arithmetic sequences 1. Equations of Sequence Patterns. Arithmetic sequences 2. Geometric sequences introduction. Geometric sequences. Geometric sequences 1. Geometric sequences 2. Converting an explicit function to a recursive function. Recursive and explicit functions. Sum of arithmetic sequence (arithmetic series). Formula for arithmetic series. Arithmetic series. Difference between inductive and deductive reasoning. Deductive Reasoning 2. Deductive Reasoning 3. Inductive Reasoning 1. Inductive Reasoning 2. Inductive Reasoning 3. Inductive Patterns. Convergent and divergent sequences. Definition of limit of a sequence and sequence convergence. Proving a sequence converges. Series as sum of sequence. Formula for finite geometric series. 2003 AIME II Problem 8. Advanced: Geometric series sum to figure out mortgage payments. Series Sum Example. Proof by Induction. Alternate Proof to Induction for Integer Sum. Explicit and recursive definitions of sequences. Arithmetic sequences. Finding the 100th Term in a Sequence. Arithmetic sequences 1. Equations of Sequence Patterns. Arithmetic sequences 2. Geometric sequences introduction. Geometric sequences. Geometric sequences 1. Geometric sequences 2. Converting an explicit function to a recursive function. Recursive and explicit functions. Sum of arithmetic sequence (arithmetic series). Formula for arithmetic series. Arithmetic series. Difference between inductive and deductive reasoning. Deductive Reasoning 2. Deductive Reasoning 3. Inductive Reasoning 1. Inductive Reasoning 2. Inductive Reasoning 3. Inductive Patterns. Convergent and divergent sequences. Definition of limit of a sequence and sequence convergence. Proving a sequence converges. Series as sum of sequence. Formula for finite geometric series. 2003 AIME II Problem 8. Advanced: Geometric series sum to figure out mortgage payments. Series Sum Example.
What happens when we have many variables but also many constraints. 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. Simple Elimination Practice. Systems of equations with simple elimination. How many bags of potato chips do people eat?. 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. Inconsistent systems of equations. Infinite solutions to systems. Consistent and Inconsistent Systems. Independent and Dependent Systems. Practice thinking about number of solutions to systems. Solutions to systems of equations. 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. 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 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. Simple Elimination Practice. Systems of equations with simple elimination. How many bags of potato chips do people eat?. 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. Inconsistent systems of equations. Infinite solutions to systems. Consistent and Inconsistent Systems. Independent and Dependent Systems. Practice thinking about number of solutions to systems. Solutions to systems of equations. 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. 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 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.
Trigonometry Identity Review/Fun. Trigonometric Identities. Examples using Pythagorean identities to simplify trigonometric expressions. Pythagorean identities. Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b). Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b). Trig identities part 2 (part 4 if you watch the proofs). Trig identies part 3 (part 5 if you watch the proofs). Cosine addition identity example. Double angle formula for cosine example. Addition and subtraction trig identities. Navigation Word Problem. Fun Trig Problem. IIT JEE Trigonometry Problem 1. IIT JEE Trigonometric Maximum. IIT JEE Trigonometric Constraints. Trigonometric System Example. 2003 AIME II Problem 11. 2003 AIME II Problem 14. Trigonometry word problems (part 1). Trigonometry word problems (part 2). Ferris Wheel Trig Problem. Ferris Wheel Trig Problem (part 2). Law of cosines example. Proof of the law of cosines. Law of cosines. Proof: Law of Sines. Trigonometry Identity Review/Fun. Trigonometric Identities. Examples using Pythagorean identities to simplify trigonometric expressions. Pythagorean identities. Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b). Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b). Trig identities part 2 (part 4 if you watch the proofs). Trig identies part 3 (part 5 if you watch the proofs). Cosine addition identity example. Double angle formula for cosine example. Addition and subtraction trig identities. Navigation Word Problem. Fun Trig Problem. IIT JEE Trigonometry Problem 1. IIT JEE Trigonometric Maximum. IIT JEE Trigonometric Constraints. Trigonometric System Example. 2003 AIME II Problem 11. 2003 AIME II Problem 14. Trigonometry word problems (part 1). Trigonometry word problems (part 2). Ferris Wheel Trig Problem. Ferris Wheel Trig Problem (part 2). Law of cosines example. Proof of the law of cosines. Law of cosines. Proof: Law of Sines.
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Build your earth science vocabulary and learn about cycles of matter and types of sedimentary rocks through the Education Portal course Earth Science 101: Earth Science. Our series of video lessons and accompanying self-assessment quizzes can help you boost your scientific knowledge ahead of the Excelsior Earth Science exam . This course was designed by experienced educators and examines both science basics, like experimental design and systems of measurement, and more advanced topics, such as analysis of rock deformation and theories of continental drift.
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This course is designed to equip you with the basic academic, professional, and personal skills you will need to be successful in college. You are probably already familiar with some of the skills and topics covered; others will be brand new ideas. For example, perhaps you have already learned some effective test-taking strategies that work well for you, but you have never heard of the concept of learning styles. Or, maybe you do know your learning style, but you want to improve your listening skills. Each student will have a different skill set when they start this course. In addition, some of the skills this course presents may take a lifetime to master! The point of the course is to give you, a new college student or a person considering a college education, a purposeful, thorough review of the many tools and skills needed for success and to help you understand how you can improve each of the tools and skills over time. Keep in mind that the terms “tools” and “resources” can refer to…
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Einführung in die Installation, Konfiguration und Bedienung von Content Management Systemen
Understand the basics of Twitter and create your own account with ease.
The U.S. Citizenship Test is a required step in the naturalization process to become a citizen of the United States and this test offers the ideal preparation. Prove your right to be an American Citizen by taking this free US Citizenship test! <br />The FREE test covers US history and government structures, in a multiple-choice format. It is a fun way to revise US history and to learn things about the US (that you may have forgotten!) <br />
This course is ideal for students who would like to assess their aptitude for legal studies or for those interested in criminal justice or paralegal studies. It also provides an excellent introduction for anyone who wants to learn the basics of the U.S. legal system, the Constitution, and the elements of most crimes and criminal defenses. Course content includes an exploration of criminal defenses, including self-defense, consent, and insanity. Most of the coursework is an analysis of criminal offenses, including inchoate offenses such as attempt, conspiracy, and solicitation; crimes against the person like criminal homicide, sex offenses, kidnapping, assault, and battery; crimes against property, including theft, burglary, and arson; crimes against the public such as crimes involving criminal gangs, drug crimes, and prostitution; and crimes against the government like treason, sedition, espionage, sabotage, terrorism, perjury, bribery, and obstruction of justice. The textbook, Criminal Law v.1.0, will enhance the student's learning experience as it provides full explanations of each topic and many examples and exercises. The textbook is an Affordable Educational Resource (prices start at $19.95) and can be accessed here: http://bit.ly/ReU8R6 Students who complete this course (participation in quizzes and discussions and a passing grade on the final) will receive a certificate of completion from the instructor.
This course will examine four critical areas where military service, civilian law, and the Uniform Code of Military Justice intersect: family law; employment and re-employment rights; debtor and creditor issues; and the Uniform Code of Military Justice itself. In this course, you will have the opportunity to view original content by experts in the field, interact with fellow students via discussion forums, and investigate areas of interest via supplemental materials. Upon completion of this course, you will have a working knowledge of the rights and responsibilities of service members under these laws and regulations. This course is split into four sections, each featuring a few brief videos on various topics. Each video is accompanied by a short quiz checking your knowledge of the content, as well as links to helpful information elsewhere online. You have the ability to skip around between sections, videos, and quizzes at will, as well as revisit any of the content as often as you like.
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