Online courses directory (381)

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.

Videos to help understand the bailout. Bailout 1: Liquidity vs. Solvency. Bailout 2: Book Value. Bailout 3: Book value vs. market value. Bailout 4: Mark-to-model vs. mark-to-market. Bailout 5: Paying off the debt. Bailout 6: Getting an equity infusion. Bailout 7: Bank goes into bankruptcy. Bailout 8: Systemic Risk. Bailout 9: Paulson's Plan. Bailout 10: Moral Hazard. Bailout 11: Why these CDOs could be worth nothing. Bailout 12: Lone Star Transaction. Bailout 13: Does the bailout have a chance of working?. Bailout 14: Possible Solution. Bailout 15: More on the solution.

Watch fun, educational videos on all sorts of Physics questions. Thomas Young's Double Slit Experiment. Newton's Prism Experiment. Bridge Design and Destruction! (part 1). Bridge Design (and Destruction!) Part 2. Shifts in Equilibrium. The Marangoni Effect: How to make a soap propelled boat!. The Invention of the Battery. The Forces on an Airplane. Bouncing Droplets: Superhydrophobic and Superhydrophilic Surfaces. A Crash Course on Indoor Flying Robots. Heat Transfer. Thomas Young's Double Slit Experiment. Newton's Prism Experiment. Bridge Design and Destruction! (part 1). Bridge Design (and Destruction!) Part 2. Shifts in Equilibrium. The Marangoni Effect: How to make a soap propelled boat!. The Invention of the Battery. The Forces on an Airplane. Bouncing Droplets: Superhydrophobic and Superhydrophilic Surfaces. A Crash Course on Indoor Flying Robots. Heat Transfer.

Electrostatics (part 1): Introduction to Charge and Coulomb's Law. Electrostatics (part 2). Proof (Advanced): Field from infinite plate (part 1). Proof (Advanced): Field from infinite plate (part 2). Electric Potential Energy. Electric Potential Energy (part 2-- involves calculus). Voltage. Capacitance. Circuits (part 1). Circuits (part 2). Circuits (part 3). Circuits (part 4). Cross product 1. Cross Product 2. Cross Product and Torque. Introduction to Magnetism. Magnetism 2. Magnetism 3. Magnetism 4. Magnetism 5. Magnetism 6: Magnetic field due to current. Magnetism 7. Magnetism 8. Magnetism 9: Electric Motors. Magnetism 10: Electric Motors. Magnetism 11: Electric Motors. Magnetism 12: Induced Current in a Wire. The dot product. Dot vs. Cross Product. Calculating dot and cross products with unit vector notation. Electrostatics (part 1): Introduction to Charge and Coulomb's Law. Electrostatics (part 2). Proof (Advanced): Field from infinite plate (part 1). Proof (Advanced): Field from infinite plate (part 2). Electric Potential Energy. Electric Potential Energy (part 2-- involves calculus). Voltage. Capacitance. Circuits (part 1). Circuits (part 2). Circuits (part 3). Circuits (part 4). Cross product 1. Cross Product 2. Cross Product and Torque. Introduction to Magnetism. Magnetism 2. Magnetism 3. Magnetism 4. Magnetism 5. Magnetism 6: Magnetic field due to current. Magnetism 7. Magnetism 8. Magnetism 9: Electric Motors. Magnetism 10: Electric Motors. Magnetism 11: Electric Motors. Magnetism 12: Induced Current in a Wire. The dot product. Dot vs. Cross Product. Calculating dot and cross products with unit vector notation.

Fluids (part 1). Fluids (part 2). Fluids (part 3). Fluids (part 4). Fluids (part 5). Fluids (part 6). Fluids (part 7). Fluids (part 8). Fluids (part 9). Fluids (part 10). Fluids (part 11). Fluids (part 12). Fluids (part 1). Fluids (part 2). Fluids (part 3). Fluids (part 4). Fluids (part 5). Fluids (part 6). Fluids (part 7). Fluids (part 8). Fluids (part 9). Fluids (part 10). Fluids (part 11). Fluids (part 12).

This tutorial is the meat of much of classical physics. We think about what a force is and how Newton changed the world's (and possibly your) view of how reality works. Newton's First Law of Motion. Newton's First Law of Motion Concepts. Newton's First Law of Motion. Newton's First Law. Newton's Second Law of Motion. Newton's Third Law of Motion. Newton's Third Law of Motion. All of Newton's Laws of Motion. Normal Force and Contact Force. Normal Force in an Elevator. Balanced and Unbalanced Forces. Unbalanced Forces and Motion. Slow Sock on Lubricon VI. Normal Forces on Lubricon VI. Inclined Plane Force Components. Ice Accelerating Down an Incline. Force of Friction Keeping the Block Stationary. Correction to Force of Friction Keeping the Block Stationary. Force of Friction Keeping Velocity Constant. Intuition on Static and Kinetic Friction Comparisons. Static and Kinetic Friction Example. Introduction to Tension. Introduction to Tension (Part 2). Tension in an accelerating system and pie in the face. Newton's First Law of Motion. Newton's First Law of Motion Concepts. Newton's First Law of Motion. Newton's First Law. Newton's Second Law of Motion. Newton's Third Law of Motion. Newton's Third Law of Motion. All of Newton's Laws of Motion. Normal Force and Contact Force. Normal Force in an Elevator. Balanced and Unbalanced Forces. Unbalanced Forces and Motion. Slow Sock on Lubricon VI. Normal Forces on Lubricon VI. Inclined Plane Force Components. Ice Accelerating Down an Incline. Force of Friction Keeping the Block Stationary. Correction to Force of Friction Keeping the Block Stationary. Force of Friction Keeping Velocity Constant. Intuition on Static and Kinetic Friction Comparisons. Static and Kinetic Friction Example. Introduction to Tension. Introduction to Tension (Part 2). Tension in an accelerating system and pie in the face.

Classical gravity. How masses attract each other (according to Newton). Introduction to Gravity. Mass and Weight Clarification. Gravity for Astronauts in Orbit. Would a Brick or Feather Fall Faster. Acceleration Due to Gravity at the Space Station. Space Station Speed in Orbit. Introduction to Newton's Law of Gravitation. Gravitation (part 2). Introduction to Gravity. Mass and Weight Clarification. Gravity for Astronauts in Orbit. Would a Brick or Feather Fall Faster. Acceleration Due to Gravity at the Space Station. Space Station Speed in Orbit. Introduction to Newton's Law of Gravitation. Gravitation (part 2).

Linear momentum. Conservation of momentum. Elastic collisions. Introduction to Momentum. Momentum: Ice skater throws a ball. 2-dimensional momentum problem. 2-dimensional momentum problem (part 2). Introduction to Momentum. Momentum: Ice skater throws a ball. 2-dimensional momentum problem. 2-dimensional momentum problem (part 2).

Relationship between angular velocity and speed. Why Distance is Area under Velocity-Time Line. Introduction to Vectors and Scalars. Calculating Average Velocity or Speed. Solving for Time. Displacement from Time and Velocity Example. Acceleration. Balanced and Unbalanced Forces. Unbalanced Forces and Motion. Newton's First Law of Motion. Newton's First Law of Motion Concepts. Newton's First Law of Motion. Newton's Second Law of Motion. Newton's Third Law of Motion. Airbus A380 Take-off Time. Airbus A380 Take-off Distance. Average Velocity for Constant Acceleration. Acceleration of Aircraft Carrier Takeoff. Race Cars with Constant Speed Around Curve. Introduction to Gravity. Mass and Weight Clarification. Gravity for Astronauts in Orbit. Would a Brick or Feather Fall Faster. Deriving Displacement as a Function of Time, Acceleration and Initial Velocity. Plotting Projectile Displacement, Acceleration, and Velocity. Projectile Height Given Time. Deriving Max Projectile Displacement Given Time. Impact Velocity From Given Height. Visualizing Vectors in 2 Dimensions. Projectile at an Angle. Different Way to Determine Time in Air. Launching and Landing on Different Elevations. Total Displacement for Projectile. Total Final Velocity for Projectile. Correction to Total Final Velocity for Projectile. Projectile on an Incline. Unit Vectors and Engineering Notation. Clearing the Green Monster at Fenway. Green Monster at Fenway Part 2. Optimal angle for a projectile part 1. Optimal angle for a projectile part 2 - Hangtime. Optimal angle for a projectile part 3 - Horizontal distance as a function of angle (and speed). Optimal angle for a projectile part 4 Finding the optimal angle and distance with a bit of calculus. Slow Sock on Lubricon VI. Normal Forces on Lubricon VI. Normal Force and Contact Force. Normal Force in an Elevator. Inclined Plane Force Components. Ice Accelerating Down an Incline. Force of Friction Keeping the Block Stationary. Correction to Force of Friction Keeping the Block Stationary. Force of Friction Keeping Velocity Constant. Intuition on Static and Kinetic Friction Comparisons. Static and Kinetic Friction Example. Introduction to Tension. Introduction to Tension (Part 2). Tension in an accelerating system and pie in the face. Introduction to Momentum. Momentum: Ice skater throws a ball. 2-dimensional momentum problem. 2-dimensional momentum problem (part 2). Introduction to work and energy. Work and Energy (part 2). Conservation of Energy. Work/Energy problem with Friction. Introduction to mechanical advantage. Mechanical Advantage (part 2). Mechanical Advantage (part 3). Center of Mass. Introduction to Torque. Moments. Moments (part 2). Unit Vector Notation. Unit Vector Notation (part 2). Projectile Motion with Ordered Set Notation. Projectile motion (part 1). Projectile motion (part 2). Projectile motion (part 3). Projectile motion (part 4). Projectile motion (part 5). Centripetal Force and Acceleration Intuition. Visual Understanding of Centripetal Acceleration Formula. Calculus proof of centripetal acceleration formula. Loop De Loop Question. Loop De Loop Answer part 1. Loop De Loop Answer part 2. Acceleration Due to Gravity at the Space Station. Space Station Speed in Orbit. Conservation of angular momentum. Introduction to Newton's Law of Gravitation. Gravitation (part 2). Viewing g as the value of Earth's Gravitational Field Near the Surface. Intro to springs and Hooke's Law. Potential energy stored in a spring. Spring potential energy example (mistake in math). Introduction to Harmonic Motion. Harmonic Motion Part 2 (calculus). Harmonic Motion Part 3 (no calculus).

Thinking about making things rotate. Center of mass, torque, moments and angular velocity. Center of Mass. Introduction to Torque. Moments. Moments (part 2). Relationship between angular velocity and speed. Conservation of angular momentum. Center of Mass. Introduction to Torque. Moments. Moments (part 2). Relationship between angular velocity and speed. Conservation of angular momentum.

In this tutorial we begin to explore ideas of velocity and acceleration. We do exciting things like throw things off of cliffs (far safer on paper than in real life) and see how high a ball will fly in the air. Introduction to Vectors and Scalars. Calculating Average Velocity or Speed. Solving for Time. Displacement from Time and Velocity Example. Acceleration. Airbus A380 Take-off Time. Airbus A380 Take-off Distance. Why Distance is Area under Velocity-Time Line. Average Velocity for Constant Acceleration. Acceleration of Aircraft Carrier Takeoff. Deriving Displacement as a Function of Time, Acceleration and Initial Velocity. Plotting Projectile Displacement, Acceleration, and Velocity. Projectile Height Given Time. Deriving Max Projectile Displacement Given Time. Impact Velocity From Given Height. Viewing g as the value of Earth's Gravitational Field Near the Surface. Projectile motion (part 1). Projectile motion (part 2). Projectile motion (part 3). Projectile motion (part 4). Projectile motion (part 5). Introduction to Vectors and Scalars. Calculating Average Velocity or Speed. Solving for Time. Displacement from Time and Velocity Example. Acceleration. Airbus A380 Take-off Time. Airbus A380 Take-off Distance. Why Distance is Area under Velocity-Time Line. Average Velocity for Constant Acceleration. Acceleration of Aircraft Carrier Takeoff. Deriving Displacement as a Function of Time, Acceleration and Initial Velocity. Plotting Projectile Displacement, Acceleration, and Velocity. Projectile Height Given Time. Deriving Max Projectile Displacement Given Time. Impact Velocity From Given Height. Viewing g as the value of Earth's Gravitational Field Near the Surface. Projectile motion (part 1). Projectile motion (part 2). Projectile motion (part 3). Projectile motion (part 4). Projectile motion (part 5).

Pendulums. Slinkies. You when you have to use the bathroom but it is occupied. These all go back and forth over and over and over again. This tutorial explores this type of motion. Introduction to Harmonic Motion. Harmonic Motion Part 2 (calculus). Harmonic Motion Part 3 (no calculus). Introduction to Harmonic Motion. Harmonic Motion Part 2 (calculus). Harmonic Motion Part 3 (no calculus).

Thermodynamics (part 1). Thermodynamics (part 2). Thermodynamics (part 3). Thermodynamics (part 4). Thermodynamics (part 5). Macrostates and Microstates. Quasistatic and Reversible Processes. First Law of Thermodynamics/ Internal Energy. More on Internal Energy. Work from Expansion. PV-diagrams and Expansion Work. Proof: U=(3/2)PV or U=(3/2)nRT. Work Done by Isothermic Process. Carnot Cycle and Carnot Engine. Proof: Volume Ratios in a Carnot Cycle. Proof: S (or Entropy) is a valid state variable. Thermodynamic Entropy Definition Clarification. Reconciling Thermodynamic and State Definitions of Entropy. Entropy Intuition. Maxwell's Demon. More on Entropy. Efficiency of a Carnot Engine. Carnot Efficiency 2: Reversing the Cycle. Carnot Efficiency 3: Proving that it is the most efficient. Enthalpy. Heat of Formation. Hess's Law and Reaction Enthalpy Change. Gibbs Free Energy and Spontaneity. Gibbs Free Energy Example. More rigorous Gibbs Free Energy/ Spontaneity Relationship. A look at a seductive but wrong Gibbs/Spontaneity Proof. Stoichiometry Example Problem 1. Stoichiometry Example Problem 2. Limiting Reactant Example Problem 1. Empirical and Molecular Formulas from Stoichiometry. Example of Finding Reactant Empirical Formula. Stoichiometry of a Reaction in Solution. Another Stoichiometry Example in a Solution. Molecular and Empirical Forumlas from Percent Composition. Hess's Law Example. Thermodynamics (part 1). Thermodynamics (part 2). Thermodynamics (part 3). Thermodynamics (part 4). Thermodynamics (part 5). Macrostates and Microstates. Quasistatic and Reversible Processes. First Law of Thermodynamics/ Internal Energy. More on Internal Energy. Work from Expansion. PV-diagrams and Expansion Work. Proof: U=(3/2)PV or U=(3/2)nRT. Work Done by Isothermic Process. Carnot Cycle and Carnot Engine. Proof: Volume Ratios in a Carnot Cycle. Proof: S (or Entropy) is a valid state variable. Thermodynamic Entropy Definition Clarification. Reconciling Thermodynamic and State Definitions of Entropy. Entropy Intuition. Maxwell's Demon. More on Entropy. Efficiency of a Carnot Engine. Carnot Efficiency 2: Reversing the Cycle. Carnot Efficiency 3: Proving that it is the most efficient. Enthalpy. Heat of Formation. Hess's Law and Reaction Enthalpy Change. Gibbs Free Energy and Spontaneity. Gibbs Free Energy Example. More rigorous Gibbs Free Energy/ Spontaneity Relationship. A look at a seductive but wrong Gibbs/Spontaneity Proof. Stoichiometry Example Problem 1. Stoichiometry Example Problem 2. Limiting Reactant Example Problem 1. Empirical and Molecular Formulas from Stoichiometry. Example of Finding Reactant Empirical Formula. Stoichiometry of a Reaction in Solution. Another Stoichiometry Example in a Solution. Molecular and Empirical Forumlas from Percent Composition. Hess's Law Example.

You understand velocity and acceleration well in one-dimension. Now we can explore scenarios that are even more fun. With a little bit of trigonometry (you might want to review your basic trig, especially what sin and cos are), we can think about whether a baseball can clear the "green monster" at Fenway Park. Visualizing Vectors in 2 Dimensions. Projectile at an Angle. Different Way to Determine Time in Air. Launching and Landing on Different Elevations. Total Displacement for Projectile. Total Final Velocity for Projectile. Correction to Total Final Velocity for Projectile. Projectile on an Incline. Unit Vectors and Engineering Notation. Clearing the Green Monster at Fenway. Green Monster at Fenway Part 2. Unit Vector Notation. Unit Vector Notation (part 2). Projectile Motion with Ordered Set Notation. Optimal angle for a projectile part 1. Optimal angle for a projectile part 2 - Hangtime. Optimal angle for a projectile part 3 - Horizontal distance as a function of angle (and speed). Optimal angle for a projectile part 4 Finding the optimal angle and distance with a bit of calculus. Race Cars with Constant Speed Around Curve. Centripetal Force and Acceleration Intuition. Visual Understanding of Centripetal Acceleration Formula. Calculus proof of centripetal acceleration formula. Loop De Loop Question. Loop De Loop Answer part 1. Loop De Loop Answer part 2. Visualizing Vectors in 2 Dimensions. Projectile at an Angle. Different Way to Determine Time in Air. Launching and Landing on Different Elevations. Total Displacement for Projectile. Total Final Velocity for Projectile. Correction to Total Final Velocity for Projectile. Projectile on an Incline. Unit Vectors and Engineering Notation. Clearing the Green Monster at Fenway. Green Monster at Fenway Part 2. Unit Vector Notation. Unit Vector Notation (part 2). Projectile Motion with Ordered Set Notation. Optimal angle for a projectile part 1. Optimal angle for a projectile part 2 - Hangtime. Optimal angle for a projectile part 3 - Horizontal distance as a function of angle (and speed). Optimal angle for a projectile part 4 Finding the optimal angle and distance with a bit of calculus. Race Cars with Constant Speed Around Curve. Centripetal Force and Acceleration Intuition. Visual Understanding of Centripetal Acceleration Formula. Calculus proof of centripetal acceleration formula. Loop De Loop Question. Loop De Loop Answer part 1. Loop De Loop Answer part 2.

Introduction to Waves. Amplitude, Period, Frequency and Wavelength of Periodic Waves. Introduction to the Doppler Effect. Doppler effect formula when source is moving away. When the source and the wave move at the same velocity. Mach Numbers. Specular and Diffuse Reflection. Specular and Diffuse Reflection 2. Refraction and Snell's Law. Refraction in Water. Snell's Law Example 1. Snell's Law Example 2. Total Internal Reflection. Virtual Image. Parabolic Mirrors and Real Images. Parabolic Mirrors 2. Convex Parabolic Mirrors. Convex Lenses. Convex Lens Examples. Doppler effect formula for observed frequency. Concave Lenses. Object Image and Focal Distance Relationship (Proof of Formula). Object Image Height and Distance Relationship. Introduction to Waves. Amplitude, Period, Frequency and Wavelength of Periodic Waves. Introduction to the Doppler Effect. Doppler effect formula when source is moving away. When the source and the wave move at the same velocity. Mach Numbers. Specular and Diffuse Reflection. Specular and Diffuse Reflection 2. Refraction and Snell's Law. Refraction in Water. Snell's Law Example 1. Snell's Law Example 2. Total Internal Reflection. Virtual Image. Parabolic Mirrors and Real Images. Parabolic Mirrors 2. Convex Parabolic Mirrors. Convex Lenses. Convex Lens Examples. Doppler effect formula for observed frequency. Concave Lenses. Object Image and Focal Distance Relationship (Proof of Formula). Object Image Height and Distance Relationship.

Work and energy. Potential energy. Kinetic energy. Mechanical advantage. Springs and Hooke's law. Introduction to work and energy. Work and Energy (part 2). Conservation of Energy. Work/Energy problem with Friction. Introduction to mechanical advantage. Mechanical Advantage (part 2). Mechanical Advantage (part 3). Intro to springs and Hooke's Law. Potential energy stored in a spring. Spring potential energy example (mistake in math). Introduction to work and energy. Work and Energy (part 2). Conservation of Energy. Work/Energy problem with Friction. Introduction to mechanical advantage. Mechanical Advantage (part 2). Mechanical Advantage (part 3). Intro to springs and Hooke's Law. Potential energy stored in a spring. Spring potential energy example (mistake in math).

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).

Basic probability. Should have a reasonable grounding in basic algebra before watching. Basic Probability. Example: Marbles from a bag. Example: Picking a non-blue marble. Example: Picking a yellow marble. Term Life Insurance and Death Probability. 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. Introduction to dependent probability. Example: Dependent probability. Example: Is an event independent or dependent?. Example: Bag of unfair coins. Monty Hall Problem. Example: All the ways you can flip a coin. Example: Probability through counting outcomes. Permutations. Combinations. Example: Ways to arrange colors. Example: 9 card hands. Example: Ways to pick officers. Getting Exactly Two Heads (Combinatorics). Probability and Combinations (part 2). Probability using Combinations. Exactly Three Heads in Five Flips. Generalizing with Binomial Coefficients (bit advanced). Example: Different ways to pick officers. Example: Combinatorics and probability. Example: Lottery probability. Mega Millions Jackpot Probability. Conditional Probability and Combinations. Birthday Probability Problem. Random Variables. Discrete and continuous random variables. Probability Density Functions. Expected Value: E(X). Binomial Distribution 1. Binomial Distribution 2. Binomial Distribution 3. Binomial Distribution 4. Expected Value of Binomial Distribution. Poisson Process 1. Poisson Process 2. Law of Large Numbers. Introduction to Random Variables. Probability (part 1). Probability (part 2). Probability (part 3). Probability (part 4). Probability (part 5). Probability (part 6). Probability (part 7). Probability (part 8).

Measures of central tendency and dispersion. Mean, median, mode, variance, and standard deviation. Statistics intro: mean, median and mode. Example: Finding mean, median and mode. Mean median and mode. Exploring Mean and Median Module. Exploring mean and median. Average word problems. Sample mean versus population mean.. Reading Box-and-Whisker Plots. Constructing a box-and-whisker plot. Box-and-Whisker Plots. Creating box and whisker plots. Example: Range and mid-range. Range, Variance and Standard Deviation as Measures of Dispersion. Variance of a population. Sample variance. Review and intuition why we divide by n-1 for the unbiased sample variance. Simulation showing bias in sample variance. Unbiased Estimate of Population Variance. Another simulation giving evidence that (n-1) gives us an unbiased estimate of variance. Simulation providing evidence that (n-1) gives us unbiased estimate. Will it converge towards -1?. Variance. Population standard deviation. Sample standard deviation and bias. Statistics: Standard Deviation. Exploring Standard Deviation 1 Module. Exploring standard deviation 1. Standard deviation. Statistics: Alternate Variance Formulas. Statistics: The Average. Statistics: Variance of a Population. Statistics: Sample Variance. Statistics intro: mean, median and mode. Example: Finding mean, median and mode. Mean median and mode. Exploring Mean and Median Module. Exploring mean and median. Average word problems. Sample mean versus population mean.. Reading Box-and-Whisker Plots. Constructing a box-and-whisker plot. Box-and-Whisker Plots. Creating box and whisker plots. Example: Range and mid-range. Range, Variance and Standard Deviation as Measures of Dispersion. Variance of a population. Sample variance. Review and intuition why we divide by n-1 for the unbiased sample variance. Simulation showing bias in sample variance. Unbiased Estimate of Population Variance. Another simulation giving evidence that (n-1) gives us an unbiased estimate of variance. Simulation providing evidence that (n-1) gives us unbiased estimate. Will it converge towards -1?. Variance. Population standard deviation. Sample standard deviation and bias. Statistics: Standard Deviation. Exploring Standard Deviation 1 Module. Exploring standard deviation 1. Standard deviation. Statistics: Alternate Variance Formulas. Statistics: The Average. Statistics: Variance of a Population. Statistics: Sample Variance.