Online courses directory (19947)

chirality, stereoisomers, assigning absolute configuration using the R,S system, optical activity, diastereomers, meso compounds, fischer projections. Introduction to Chirality. Chiral Examples 1. Chiral Examples 2. Cahn-Ingold-Prelog System for Naming Enantiomers. R,S (Cahn-Ingold-Prelog) Naming System Example 2. chirality centers and stereoisomers. R,S system for determining absolute configuration. R,S system for cyclic compounds. optical activity I: theory. optical activity II: calculations. Stereoisomers, Enantiomers, Diastereomers, Constitutional Isomers and Meso Compounds. diastereomers. meso compounds. fischer projections. Introduction to Chirality. Chiral Examples 1. Chiral Examples 2. Cahn-Ingold-Prelog System for Naming Enantiomers. R,S (Cahn-Ingold-Prelog) Naming System Example 2. chirality centers and stereoisomers. R,S system for determining absolute configuration. R,S system for cyclic compounds. optical activity I: theory. optical activity II: calculations. Stereoisomers, Enantiomers, Diastereomers, Constitutional Isomers and Meso Compounds. diastereomers. meso compounds. fischer projections.

SN1, SN2, E1, E2, nucleophiles, nucleophilicity, basicity. Naming Alkyl Halides. Sn2 Reactions. Sn1 Reactions. Steric hindrance. Sn2 Stereochemistry. Solvent Effects on Sn1 and Sn2 Reactions. Nucleophilicity (Nucleophile Strength). Nucleophilicity vs. Basicity. E2 Reactions. E1 Reactions. Zaitsev's Rule. Comparing E2 E1 Sn2 Sn1 Reactions. E2 E1 Sn2 Sn1 Reactions Example 2. E2 E1 Sn2 Sn1 Reactions Example 3. nucleophile/electrophile and The Schwartz Rules. alkyl halide nomenclature. SN1 reaction: mechanism. SN1 reaction: stereochemistry. SN2 mechanism and stereochemistry. SN1 vs SN2: solvent effects. SN1 vs SN2: summary. E1 Elimination: mechanism. E1 Elimination: regioselectivity and stereoselectivity. carbocations and rearrangements. E1 Elimination: carbocation rearrangements. E2 Elimination: mechanism. E2 Elimination: regioselectivity. E2 Elimination: stereoselectivity. E2 Elimination: stereospecificity. E2 Elimination: substituted cyclohexanes. nucleophilicity and basicity. SN1 SN2 E1 E2 reactions: primary and tertiary alkyl halides. SN1 SN2 E1 E2 reactions: secondary alkyl halides. Naming Alkyl Halides. Sn2 Reactions. Sn1 Reactions. Steric hindrance. Sn2 Stereochemistry. Solvent Effects on Sn1 and Sn2 Reactions. Nucleophilicity (Nucleophile Strength). Nucleophilicity vs. Basicity. E2 Reactions. E1 Reactions. Zaitsev's Rule. Comparing E2 E1 Sn2 Sn1 Reactions. E2 E1 Sn2 Sn1 Reactions Example 2. E2 E1 Sn2 Sn1 Reactions Example 3. nucleophile/electrophile and The Schwartz Rules. alkyl halide nomenclature. SN1 reaction: mechanism. SN1 reaction: stereochemistry. SN2 mechanism and stereochemistry. SN1 vs SN2: solvent effects. SN1 vs SN2: summary. E1 Elimination: mechanism. E1 Elimination: regioselectivity and stereoselectivity. carbocations and rearrangements. E1 Elimination: carbocation rearrangements. E2 Elimination: mechanism. E2 Elimination: regioselectivity. E2 Elimination: stereoselectivity. E2 Elimination: stereospecificity. E2 Elimination: substituted cyclohexanes. nucleophilicity and basicity. SN1 SN2 E1 E2 reactions: primary and tertiary alkyl halides. SN1 SN2 E1 E2 reactions: secondary alkyl halides.

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naming alkenes and alkynes, reactions of alkenes and alkynes, synthesis. Naming Alkenes Examples. Cis-Trans and E-Z Naming Scheme for Alkenes. Entgegen-Zusammen Naming Scheme for Alkenes Examples. Introduction to Reaction Mechanisms. Markovnikov's Rule and Carbocations. Addition of Water (Acid-Catalyzed) Mechanism. Polymerization of Alkenes with Acid. Alkene intro and stability. Alkene nomenclature. cis/trans and the E/Z system. hydrogenation. hydrohalogenation. hydration. halogenation. halohydrin formation. hydroboration-oxidation. epoxide formation and anti dihydroxylation. syn dihydroxylation. Ozonolysis. alkyne nomenclature. alkyne acidity and alkylation. preparation of alkynes. reduction of alkynes. hydrohalogenation of alkynes. hydration of alkynes. hydroboration-oxidation of alkynes. halogenation and ozonolysis of alkynes. synthesis using alkynes. Naming Alkenes Examples. Cis-Trans and E-Z Naming Scheme for Alkenes. Entgegen-Zusammen Naming Scheme for Alkenes Examples. Introduction to Reaction Mechanisms. Markovnikov's Rule and Carbocations. Addition of Water (Acid-Catalyzed) Mechanism. Polymerization of Alkenes with Acid. Alkene intro and stability. Alkene nomenclature. cis/trans and the E/Z system. hydrogenation. hydrohalogenation. hydration. halogenation. halohydrin formation. hydroboration-oxidation. epoxide formation and anti dihydroxylation. syn dihydroxylation. Ozonolysis. alkyne nomenclature. alkyne acidity and alkylation. preparation of alkynes. reduction of alkynes. hydrohalogenation of alkynes. hydration of alkynes. hydroboration-oxidation of alkynes. halogenation and ozonolysis of alkynes. synthesis using alkynes.

alcohols, ethers, epoxides, thiols, sulfides. Alcohols. Alcohol Properties. alcohol nomenclature. physical properties of alcohols and preparation of alkoxides. preparation of alcohols using NaBH4. preparation of alcohols using LiAlH4. synthesis of alcohols using grignard reagents I. synthesis of alcohols using grignard reagents II. oxidation of alcohols I: mechanism and oxidation states. oxidation of alcohols II: examples. biological redox reactions. formation of nitrate esters. preparation of alkyl halides from alcohols. Ether Naming and Introduction. Ether nomenclature. Properties of ethers and crown ethers. williamson ether synthesis. acidic cleavage of ethers. Cyclic ethers and epoxide naming. nomenclature and preparation of epoxides. preparation of epoxides: stereochemistry. Ring-opening Sn2 reaction of expoxides. Sn1 and Sn2 epoxide opening discussion. ring-opening reactions of epoxides: strong nucleophiles. ring opening reactions of epoxides: acid-catalyzed. preparation of sulfides. Alcohols. Alcohol Properties. alcohol nomenclature. physical properties of alcohols and preparation of alkoxides. preparation of alcohols using NaBH4. preparation of alcohols using LiAlH4. synthesis of alcohols using grignard reagents I. synthesis of alcohols using grignard reagents II. oxidation of alcohols I: mechanism and oxidation states. oxidation of alcohols II: examples. biological redox reactions. formation of nitrate esters. preparation of alkyl halides from alcohols. Ether Naming and Introduction. Ether nomenclature. Properties of ethers and crown ethers. williamson ether synthesis. acidic cleavage of ethers. Cyclic ethers and epoxide naming. nomenclature and preparation of epoxides. preparation of epoxides: stereochemistry. Ring-opening Sn2 reaction of expoxides. Sn1 and Sn2 epoxide opening discussion. ring-opening reactions of epoxides: strong nucleophiles. ring opening reactions of epoxides: acid-catalyzed. preparation of sulfides.

An look at exponential and logarithmic functions including many of their properties and graphs. Exponential Growth Functions. Ex: Graphing exponential functions. Subtracting Rational Expressions. Word Problem Solving- Exponential Growth and Decay. Exponential Growth. Graphing Logarithmic Functions. 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). Solving Logarithmic Equations. Solving Logarithmic Equations. 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 Functions. Ex: Graphing exponential functions. Subtracting Rational Expressions. Word Problem Solving- Exponential Growth and Decay. Exponential Growth. Graphing Logarithmic Functions. 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). Solving Logarithmic Equations. Solving Logarithmic Equations. 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).

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.

A detailed look at shapes that are prevalent in science: conic sections. Introduction to Conic Sections. Recognizing conic sections. Radius and center for a circle equation in standard form. Equation of a circle in factored form. Conic Sections: Intro to Circles. Graphing circles. Equation of a circle in non-factored form. Graphing circles 2. Conic Sections: Intro to Ellipses. Equation of an ellipse. Foci of an Ellipse. Parabola Focus and Directrix 1. Focus and Directrix of a Parabola 2. Parabola intuition 1. Parabola intuition 2. Conic Sections: Intro to Hyperbolas. Conic Sections: Hyperbolas 2. Conic Sections: Hyperbolas 3. Equation of a hyperbola. Foci of a Hyperbola. Proof: Hyperbola Foci. Identifying an ellipse from equation. Identifying a hyperbola from an equation. Identifying circles and parabolas from equations. Hyperbola and parabola examples. Tangent Line Hyperbola Relationship (very optional). 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 Circle Hyperbola Intersection. Introduction to Conic Sections. Recognizing conic sections. Radius and center for a circle equation in standard form. Equation of a circle in factored form. Conic Sections: Intro to Circles. Graphing circles. Equation of a circle in non-factored form. Graphing circles 2. Conic Sections: Intro to Ellipses. Equation of an ellipse. Foci of an Ellipse. Parabola Focus and Directrix 1. Focus and Directrix of a Parabola 2. Parabola intuition 1. Parabola intuition 2. Conic Sections: Intro to Hyperbolas. Conic Sections: Hyperbolas 2. Conic Sections: Hyperbolas 3. Equation of a hyperbola. Foci of a Hyperbola. Proof: Hyperbola Foci. Identifying an ellipse from equation. Identifying a hyperbola from an equation. Identifying circles and parabolas from equations. Hyperbola and parabola examples. Tangent Line Hyperbola Relationship (very optional). 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 Circle Hyperbola Intersection.

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.

Understanding i and the complex plane. 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). The complex plane. Adding Complex Numbers. Subtracting Complex Numbers. Complex number polar form intuition. Complex plane operations. Adding and subtracting complex numbers. Multiplying Complex Numbers. Multiplying complex numbers. Dividing Complex Numbers. Dividing complex numbers. Multiplying and dividing complex numbers in polar form. Complex Conjugates. Complex Conjugates Example. Absolute value of complex numbers. Basic Complex Analysis. Complex number polar form intuition exercise. Complex number polar form intuition. Exponential form to find complex roots. Multiplying and dividing complex numbers in polar form. Powers of complex numbers. Complex Conjugates. IIT JEE Complex Numbers (part 1). IIT JEE Complex Numbers (part 2). IIT JEE Complex Numbers (part 3). Complex Determinant Example. 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). The complex plane. Adding Complex Numbers. Subtracting Complex Numbers. Complex number polar form intuition. Complex plane operations. Adding and subtracting complex numbers. Multiplying Complex Numbers. Multiplying complex numbers. Dividing Complex Numbers. Dividing complex numbers. Multiplying and dividing complex numbers in polar form. Complex Conjugates. Complex Conjugates Example. Absolute value of complex numbers. Basic Complex Analysis. Complex number polar form intuition exercise. Complex number polar form intuition. Exponential form to find complex roots. Multiplying and dividing complex numbers in polar form. Powers of complex numbers. Complex Conjugates. IIT JEE Complex Numbers (part 1). IIT JEE Complex Numbers (part 2). IIT JEE Complex Numbers (part 3). Complex Determinant Example.

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.

Preview of the calculus topic of limits. Introduction to limits. Introduction to Limits. Limits 1. Limits 2. Limit Examples (part 1). Limit Examples (part 2). Limit Examples (part 3). Limit Examples w/ brain malfunction on first prob (part 4). More Limits. Introduction to limits. Introduction to Limits. Limits 1. Limits 2. Limit Examples (part 1). Limit Examples (part 2). Limit Examples (part 3). Limit Examples w/ brain malfunction on first prob (part 4). More Limits.

Topics covered in a traditional college level introductory macroeconomics course. Introduction to Economics. Circular Flow of Income and Expenditures. Parsing Gross Domestic Product. More on Final and Intermediate GDP Contributions. Investment and Consumption. Income and Expenditure Views of GDP. Components of GDP. Examples of Accounting for GDP. Real GDP and Nominal GDP. GDP Deflator. Example Calculating Real GDP with a Deflator. Introduction to Inflation. Actual CPI-U Basket of Goods. Inflation Data. Moderate Inflation in a Good Economy. Stagflation. Real and Nominal Return. Calculating Real Return in Last Year Dollars. Relation Between Nominal and Real Returns and Inflation. Deflation. Velocity of Money Rather than Quantity Driving Prices. Deflation Despite Increases in Money Supply. Deflationary Spiral. Hyperinflation. Unemployment Rate Primer. Phillips Curve. Interest as Rent for Money. Money Supply and Demand Impacting Interest Rates. The Business Cycle. Aggregate Demand. Shifts in Aggregate Demand. Long-Run Aggregate Supply. Short Run Aggregate Supply. Demand-Pull Inflation under Johnson. Real GDP driving Price. Cost Push Inflation. Monetary and Fiscal Policy. Tax Lever of Fiscal Policy. Breakdown of Gas Prices. Short-Run Oil Prices. Keynesian Economics. Risks of Keynesian Thinking. Overview of Fractional Reserve Banking. Weaknesses of Fractional Reserve Lending. Full Reserve Banking. Money Supply- M0 M1 and M2. Simple Fractional Reserve Accounting part 1. Simple Fractional Reserve Accounting (part 2). MPC and Multiplier. Mathy Version of MPC and Multiplier (optional). Consumption Function Basics. Generalized Linear Consumption Function. Consumption Function with Income Dependent Taxes. Keynesian Cross. Details on Shifting Aggregate Planned Expenditures. Keynesian Cross and the Multiplier. Investment and Real Interest Rates. Connecting the Keynesian Cross to the IS-Curve. Loanable Funds Interpretation of IS Curve. LM part of the IS-LM model. Government Spending and the IS-LM model. Balance of Payments- Current Account. Balance of Payments- Capital Account. Why Current and Capital Accounts Net Out. Accumulating Foreign Currency Reserves. Using Reserves to Stabilize Currency. Speculative Attack on a Currency. Financial Crisis in Thailand Caused by Speculative Attack. Math Mechanics of Thai Banking Crisis.

Our universe is defined by stars. This topic explores how they came to be and where they end up. This includes a discussion of black holes and galaxies. Birth of Stars. Accreting mass due to gravity simulation. Challenge: Modeling Accretion Disks. Becoming a Red Giant. White and Black Dwarfs. Star Field and Nebula Images. Lifecycle of Massive Stars. Supernova (Supernovae). Supernova clarification. Black Holes. Supermassive Black Holes. Quasars. Quasar Correction. Galactic Collisions. Parallax in Observing Stars. Stellar Parallax. Stellar Distance Using Parallax. Stellar Parallax Clarification. Parsec Definition. Cepheid Variables 1. Why Cepheids Pulsate. Why Gravity Gets So Strong Near Dense Objects. Birth of Stars. Accreting mass due to gravity simulation. Challenge: Modeling Accretion Disks. Becoming a Red Giant. White and Black Dwarfs. Star Field and Nebula Images. Lifecycle of Massive Stars. Supernova (Supernovae). Supernova clarification. Black Holes. Supermassive Black Holes. Quasars. Quasar Correction. Galactic Collisions. Parallax in Observing Stars. Stellar Parallax. Stellar Distance Using Parallax. Stellar Parallax Clarification. Parsec Definition. Cepheid Variables 1. Why Cepheids Pulsate. Why Gravity Gets So Strong Near Dense Objects.

What is the Earth made up of and how do we know? What causes the seasons? Are there longer-ranging cycles in Earth's climate?. Plate Tectonics-- Difference between crust and lithosphere. Structure of the Earth. Plate Tectonics -- Evidence of plate movement. Plate Tectonics -- Geological Features of Divergent Plate Boundaries. Plate Tectonics-- Geological features of Convergent Plate Boundaries. Plates Moving Due to Convection in Mantle. Hawaiian Islands Formation. Pangaea. Compositional and Mechanical Layers of the Earth. How we know about the Earth's core. Seismic Waves. Why S-Waves Only Travel in Solids. Refraction of Seismic Waves. The Mohorovicic Seismic Discontinuity. Seasons Aren't Dictated by Closeness to Sun. How Earth's Tilt Causes Seasons. Are Southern Hemisphere Seasons More Severe?. Milankovitch Cycles Precession and Obliquity. Precession Causing Perihelion to Happen Later. What Causes Precession and Other Orbital Changes. Apsidal Precession (Perihelion Precession) and Milankovitch Cycles. Plate Tectonics-- Difference between crust and lithosphere. Structure of the Earth. Plate Tectonics -- Evidence of plate movement. Plate Tectonics -- Geological Features of Divergent Plate Boundaries. Plate Tectonics-- Geological features of Convergent Plate Boundaries. Plates Moving Due to Convection in Mantle. Hawaiian Islands Formation. Pangaea. Compositional and Mechanical Layers of the Earth. How we know about the Earth's core. Seismic Waves. Why S-Waves Only Travel in Solids. Refraction of Seismic Waves. The Mohorovicic Seismic Discontinuity. Seasons Aren't Dictated by Closeness to Sun. How Earth's Tilt Causes Seasons. Are Southern Hemisphere Seasons More Severe?. Milankovitch Cycles Precession and Obliquity. Precession Causing Perihelion to Happen Later. What Causes Precession and Other Orbital Changes. Apsidal Precession (Perihelion Precession) and Milankovitch Cycles.

When and how did life emerge on Earth? How did humanity develop a civilization? Is there other intelligent life out there?. Earth Formation. Beginnings of Life. Ozone Layer and Eukaryotes Show Up in the Proterozoic Eon. Biodiversity Flourishes in Phanerozoic Eon. First living things on land clarification. Human Evolution Overview. Understanding Calendar Notation. Correction Calendar Notation. Development of Agriculture and Writing. Firestick Farming. Collective Learning. Thomas Malthus and Population Growth. Land Productivity Limiting Human Population. Energy Inputs for Tilling a Hectare of Land. Random Predictions for 2060. Chronometric Revolution. Carbon 14 Dating 1. Carbon 14 Dating 2. Potassium-Argon (K-Ar) Dating. K-Ar Dating Calculation. Detectable Civilizations in our Galaxy 1. Detectable Civilizations in our Galaxy 2. Detectable Civilizations in our Galaxy 3. Detectable Civilizations in our Galaxy 4. Detectable Civilizations in our Galaxy 5. Earth Formation. Beginnings of Life. Ozone Layer and Eukaryotes Show Up in the Proterozoic Eon. Biodiversity Flourishes in Phanerozoic Eon. First living things on land clarification. Human Evolution Overview. Understanding Calendar Notation. Correction Calendar Notation. Development of Agriculture and Writing. Firestick Farming. Collective Learning. Thomas Malthus and Population Growth. Land Productivity Limiting Human Population. Energy Inputs for Tilling a Hectare of Land. Random Predictions for 2060. Chronometric Revolution. Carbon 14 Dating 1. Carbon 14 Dating 2. Potassium-Argon (K-Ar) Dating. K-Ar Dating Calculation. Detectable Civilizations in our Galaxy 1. Detectable Civilizations in our Galaxy 2. Detectable Civilizations in our Galaxy 3. Detectable Civilizations in our Galaxy 4. Detectable Civilizations in our Galaxy 5.

Lecture Series on Computer Organization by Prof. S. Raman, Department of Computer Science and Engineering, IIT Madras.

Lecture Series on Internet Tecnologies by Prof. I. Sengupta, Department of Computer Science Engineering, IIT Kharagpur.

EE 380: Computer Systems Laboratory Colloquium is a Stanford University course that features weekly speakers on current