Online courses directory (19947)

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.

aromatic compounds, naming derivatives of benzene, electrophilic aromatic substitution reactions. Naming Benzene Derivatives Introduction. naming benzene derivatives. Aromatic Compounds and Huckel's Rule. Aromatic Stability I. aromatic stability II. aromatic stability III. aromatic stability IV. aromatic stability V. Aromatic Heterocycles I. Aromatic Heterocycles II. Resonance. Electrophilic Aromatic Substitution. Bromination of Benzene. Friedel Crafts Acylation. Friedel Crafts Acylation Addendum. Electrophilic Aromatic Substitution Mechanism. Halogenation. Nitration. Sulfonation. Friedel-Crafts Alkylation. Friedel-Crafts Acylation. Ortho-Para Directors I. Ortho-Para Directors II. Ortho-Para Directors III. Meta Directors I. Meta Directors II. Multiple Substituents. Birch Reduction I. Birch Reduction II. Reactions at the Benzylic Position. Synthesis of Substituted Benzene Rings I. Synthesis of Substituted Benzene Rings II. Nucleophilic Aromatic Substitution I. Nucleophilic Aromatic Substitution II. Naming Benzene Derivatives Introduction. naming benzene derivatives. Aromatic Compounds and Huckel's Rule. Aromatic Stability I. aromatic stability II. aromatic stability III. aromatic stability IV. aromatic stability V. Aromatic Heterocycles I. Aromatic Heterocycles II. Resonance. Electrophilic Aromatic Substitution. Bromination of Benzene. Friedel Crafts Acylation. Friedel Crafts Acylation Addendum. Electrophilic Aromatic Substitution Mechanism. Halogenation. Nitration. Sulfonation. Friedel-Crafts Alkylation. Friedel-Crafts Acylation. Ortho-Para Directors I. Ortho-Para Directors II. Ortho-Para Directors III. Meta Directors I. Meta Directors II. Multiple Substituents. Birch Reduction I. Birch Reduction II. Reactions at the Benzylic Position. Synthesis of Substituted Benzene Rings I. Synthesis of Substituted Benzene Rings II. Nucleophilic Aromatic Substitution I. Nucleophilic Aromatic Substitution II.

Volume under a surface with double integrals. Triple integrals as well. Double Integral 1. Double Integrals 2. Double Integrals 3. Double Integrals 4. Double Integrals 5. Double Integrals 6. Triple Integrals 1. Triple Integrals 2. Triple Integrals 3. Double Integral 1. Double Integrals 2. Double Integrals 3. Double Integrals 4. Double Integrals 5. Double Integrals 6. Triple Integrals 1. Triple Integrals 2. Triple Integrals 3.

Introduction to Balance Sheets. More on balance sheets and equity. Home equity loans. Introduction to Mortgage Loans. Mortgage Interest Rates. Short sale basics. Advanced: Geometric series sum to figure out mortgage payments. Renting vs. Buying a home. Renting vs. buying a home (part 2). Renting vs. Buying (detailed analysis). The housing price conundrum. Housing price conundrum (part 2). Housing Price Conundrum (part 3). Housing Conundrum (part 4). The housing price conundrum. Housing price conundrum (part 2). Housing Price Conundrum (part 3). Housing Conundrum (part 4). Mortgage-Backed Securities I. Mortgage-backed securities II. Mortgage-backed securities III. Collateralized Debt Obligation (CDO). Credit Default Swaps. Credit Default Swaps 2. Wealth Destruction 1. Wealth Destruction 2. CNN: Understanding the Crisis. 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. Risk and Reward Introduction. Human Capital. Return on capital. Investment vs. Consumption 1. Investment vs. Consumption 2. Wealth Destruction 1. Wealth Destruction 2. Back of Envelope Office Space Conundrum. Introduction to Balance Sheets. More on balance sheets and equity. Home equity loans. Introduction to Mortgage Loans. Mortgage Interest Rates. Short sale basics. Advanced: Geometric series sum to figure out mortgage payments. Renting vs. Buying a home. Renting vs. buying a home (part 2). Renting vs. Buying (detailed analysis). The housing price conundrum. Housing price conundrum (part 2). Housing Price Conundrum (part 3). Housing Conundrum (part 4). The housing price conundrum. Housing price conundrum (part 2). Housing Price Conundrum (part 3). Housing Conundrum (part 4). Mortgage-Backed Securities I. Mortgage-backed securities II. Mortgage-backed securities III. Collateralized Debt Obligation (CDO). Credit Default Swaps. Credit Default Swaps 2. Wealth Destruction 1. Wealth Destruction 2. CNN: Understanding the Crisis. 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. Risk and Reward Introduction. Human Capital. Return on capital. Investment vs. Consumption 1. Investment vs. Consumption 2. Wealth Destruction 1. Wealth Destruction 2. Back of Envelope Office Space Conundrum.

This topic focuses on how to design and create products that solve real problems and bring academic content to life. Ping pong ball launcher introduction. Build a ping pong ball launcher . Update and modify your ping pong ball launcher.

Revisiting what a function is and how we can define and visualize one. What is a function. Function example problems. Ex: Constructing a function. Functions Part 2. Functions as Graphs. Understanding function notation exercise. Understanding function notation. Functions (Part III). Functions (part 4). Sum of Functions. Difference of Functions. Product of Functions. Quotient of Functions. Evaluating expressions with function notation. Evaluating composite functions. Domain of a function. Domain of a function. Domain of a function. Domain and Range of a Relation. Domain and range from graph. Domain and Range of a Function Given a Formula. Domain and Range 1. Domain of a Radical Function. Domain of a function. Domain and Range 2. Domain and Range of a Function. Range of a function. Introduction to Function Inverses. Function Inverse Example 1. Function Inverses Example 2. Function Inverses Example 3. Inverses of functions. When a function is positive or negative. Positive and negative parts of functions. Recognizing odd and even functions. Connection between even and odd numbers and functions. Even and odd functions. Shifting and reflecting functions. Shifting functions. Shifting and reflecting functions. Recognizing features of functions (Example 1). Recognizing features of functions 2 (example 2). Recognizing features of functions 2 (example 3). Recognizing features of functions 2. Interpreting features of functions 2 (Example 1). Interpreting features of functions 2 (Example 2). Interpreting features of functions 2. Comparing features of functions 2 (example 1). Comparing features of functions 2 (example 2). Comparing features of functions 2 (example 3). Comparing features of functions 2. Why Dividing by Zero is Undefined. Why Zero Divided by Zero is Undefined/Indeterminate. Undefined and Indeterminate. A more formal understanding of functions. Introduction to the inverse of a function. What is a function. Function example problems. Ex: Constructing a function. Functions Part 2. Functions as Graphs. Understanding function notation exercise. Understanding function notation. Functions (Part III). Functions (part 4). Sum of Functions. Difference of Functions. Product of Functions. Quotient of Functions. Evaluating expressions with function notation. Evaluating composite functions. Domain of a function. Domain of a function. Domain of a function. Domain and Range of a Relation. Domain and range from graph. Domain and Range of a Function Given a Formula. Domain and Range 1. Domain of a Radical Function. Domain of a function. Domain and Range 2. Domain and Range of a Function. Range of a function. Introduction to Function Inverses. Function Inverse Example 1. Function Inverses Example 2. Function Inverses Example 3. Inverses of functions. When a function is positive or negative. Positive and negative parts of functions. Recognizing odd and even functions. Connection between even and odd numbers and functions. Even and odd functions. Shifting and reflecting functions. Shifting functions. Shifting and reflecting functions. Recognizing features of functions (Example 1). Recognizing features of functions 2 (example 2). Recognizing features of functions 2 (example 3). Recognizing features of functions 2. Interpreting features of functions 2 (Example 1). Interpreting features of functions 2 (Example 2). Interpreting features of functions 2. Comparing features of functions 2 (example 1). Comparing features of functions 2 (example 2). Comparing features of functions 2 (example 3). Comparing features of functions 2. Why Dividing by Zero is Undefined. Why Zero Divided by Zero is Undefined/Indeterminate. Undefined and Indeterminate. A more formal understanding of functions. Introduction to the inverse of a function.

Random variables. Expected value. Probability distributions (both discrete and continuous). Binomial distribution. Poisson processes. Random Variables. Discrete and continuous random variables. Probability Density Functions. Expected Value: E(X). Expected value. Law of Large Numbers. Term Life Insurance and Death Probability. Binomial Distribution 1. Binomial Distribution 2. Binomial Distribution 3. Binomial Distribution 4. Expected Value of Binomial Distribution. Galton Board Exploration. Poisson Process 1. Poisson Process 2. Random Variables. Discrete and continuous random variables. Probability Density Functions. Expected Value: E(X). Expected value. Law of Large Numbers. Term Life Insurance and Death Probability. Binomial Distribution 1. Binomial Distribution 2. Binomial Distribution 3. Binomial Distribution 4. Expected Value of Binomial Distribution. Galton Board Exploration. Poisson Process 1. Poisson Process 2.

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.

Transforms and the Laplace transform in particular. Convolution integrals. Laplace Transform 1. Laplace Transform 2. L{sin(at)}) - transform of sin(at). Part 2 of the transform of the sin(at). Laplace as linear operator and Laplace of derivatives. Laplace Transform of cos t and polynomials. "Shifting" transform by multiplying function by exponential. Laplace Transform of : L{t}. Laplace Transform of t^n: L{t^n}. Laplace Transform of the Unit Step Function. Inverse Laplace Examples. Dirac Delta Function. Laplace Transform of the Dirac Delta Function. Laplace Transform to solve an equation. Laplace Transform solves an equation 2. Using the Laplace Transform to solve a nonhomogeneous eq. Laplace/Step Function Differential Equation. Introduction to the Convolution. The Convolution and the Laplace Transform. Using the Convolution Theorem to Solve an Initial Value Prob. Laplace Transform 1. Laplace Transform 2. L{sin(at)}) - transform of sin(at). Part 2 of the transform of the sin(at). Laplace as linear operator and Laplace of derivatives. Laplace Transform of cos t and polynomials. "Shifting" transform by multiplying function by exponential. Laplace Transform of : L{t}. Laplace Transform of t^n: L{t^n}. Laplace Transform of the Unit Step Function. Inverse Laplace Examples. Dirac Delta Function. Laplace Transform of the Dirac Delta Function. Laplace Transform to solve an equation. Laplace Transform solves an equation 2. Using the Laplace Transform to solve a nonhomogeneous eq. Laplace/Step Function Differential Equation. Introduction to the Convolution. The Convolution and the Laplace Transform. Using the Convolution Theorem to Solve an Initial Value Prob.

8.02x (Electricity and Magnetism) presents the basic concepts of Electromagnetism, and how this touches upon a vast variety of interesting real-world topics.

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.

Line integral of scalar and vector-valued functions. Green's theorem and 2-D divergence theorem. Introduction to the Line Integral. Line Integral Example 1. Line Integral Example 2 (part 1). Line Integral Example 2 (part 2). Position Vector Valued Functions. Derivative of a position vector valued function. Differential of a vector valued function. Vector valued function derivative example. Line Integrals and Vector Fields. Using a line integral to find the work done by a vector field example. Parametrization of a Reverse Path. Scalar Field Line Integral Independent of Path Direction. Vector Field Line Integrals Dependent on Path Direction. Path Independence for Line Integrals. Closed Curve Line Integrals of Conservative Vector Fields. Example of Closed Line Integral of Conservative Field. Second Example of Line Integral of Conservative Vector Field. Green's Theorem Proof Part 1. Green's Theorem Proof (part 2). Green's Theorem Example 1. Green's Theorem Example 2. Constructing a unit normal vector to a curve. 2 D Divergence Theorem. Conceptual clarification for 2-D Divergence Theorem. Introduction to the Line Integral. Line Integral Example 1. Line Integral Example 2 (part 1). Line Integral Example 2 (part 2). Position Vector Valued Functions. Derivative of a position vector valued function. Differential of a vector valued function. Vector valued function derivative example. Line Integrals and Vector Fields. Using a line integral to find the work done by a vector field example. Parametrization of a Reverse Path. Scalar Field Line Integral Independent of Path Direction. Vector Field Line Integrals Dependent on Path Direction. Path Independence for Line Integrals. Closed Curve Line Integrals of Conservative Vector Fields. Example of Closed Line Integral of Conservative Field. Second Example of Line Integral of Conservative Vector Field. Green's Theorem Proof Part 1. Green's Theorem Proof (part 2). Green's Theorem Example 1. Green's Theorem Example 2. Constructing a unit normal vector to a curve. 2 D Divergence Theorem. Conceptual clarification for 2-D Divergence Theorem.

Sequences, series and approximating functions. Maclaurin and Taylor series. Sequences and Series (part 1). Sequences and series (part 2). Maclaurin and Taylor Series Intuition. Cosine Taylor Series at 0 (Maclaurin). Sine Taylor Series at 0 (Maclaurin). Taylor Series at 0 (Maclaurin) for e to the x. Euler's Formula and Euler's Identity. Visualizing Taylor Series Approximations. Generalized Taylor Series Approximation. Visualizing Taylor Series for e^x. Error or Remainder of a Taylor Polynomial Approximation. Proof: Bounding the Error or Remainder of a Taylor Polynomial Approximation. Polynomial approximation of functions (part 1). Polynomial approximation of functions (part 2). Approximating functions with polynomials (part 3). Polynomial approximation of functions (part 4). Polynomial approximations of functions (part 5). Polynomial approximation of functions (part 6). Polynomial approximation of functions (part 7). Taylor Polynomials. Sequences and Series (part 1). Sequences and series (part 2). Maclaurin and Taylor Series Intuition. Cosine Taylor Series at 0 (Maclaurin). Sine Taylor Series at 0 (Maclaurin). Taylor Series at 0 (Maclaurin) for e to the x. Euler's Formula and Euler's Identity. Visualizing Taylor Series Approximations. Generalized Taylor Series Approximation. Visualizing Taylor Series for e^x. Error or Remainder of a Taylor Polynomial Approximation. Proof: Bounding the Error or Remainder of a Taylor Polynomial Approximation. Polynomial approximation of functions (part 1). Polynomial approximation of functions (part 2). Approximating functions with polynomials (part 3). Polynomial approximation of functions (part 4). Polynomial approximations of functions (part 5). Polynomial approximation of functions (part 6). Polynomial approximation of functions (part 7). Taylor Polynomials.

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.

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).

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.

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).

Motivation and understanding of hyperbolic trig functions. Hyperbolic Trig Function Inspiration. Hyperbolic Trig Functions and the Unit Hyperbola. Hyperbolic Trig Function Inspiration. Hyperbolic Trig Functions and the Unit Hyperbola.

Ce cours contient les 7 premiers chapitres d'un cours donné aux étudiants bachelor de l'EPFL. Il est basé sur le livre "Introduction à l'analyse numérique", J. Rappaz M. Picasso, Ed. PPUR. Des outils de base sont décrits dans les 5 premiers chapitres. Les deux derniers chapitres abordent la question de la résolution numérique d'équations différentielles.