Online courses directory (381)

Economic profit vs. accounting profit. Average total cost (ATC) and marginal cost (MC). Marginal product of labor (MPL). Price discrimination. Economic Profit vs Accounting Profit. Depreciation and Opportunity Cost of Capital. Marginal Cost and Average Total Cost. Marginal Revenue and Marginal Cost. Marginal Revenue Below Average Total Cost. Long Term Supply Curve and Economic Profit. Fixed, Variable, and Marginal Cost.. Visualizing Average Costs and Marginal Costs as Slope. A Firm's Marginal Product Revenue Curve. How Many People to Hire Given the MPR curve. Adding Demand Curves. First Degree Price Discrimination. Economic Profit vs Accounting Profit. Depreciation and Opportunity Cost of Capital. Marginal Cost and Average Total Cost. Marginal Revenue and Marginal Cost. Marginal Revenue Below Average Total Cost. Long Term Supply Curve and Economic Profit. Fixed, Variable, and Marginal Cost.. Visualizing Average Costs and Marginal Costs as Slope. A Firm's Marginal Product Revenue Curve. How Many People to Hire Given the MPR curve. Adding Demand Curves. First Degree Price Discrimination.

Making inferences based on sample data. Confidence intervals. Margin of error. Hypothesis testing. Introduction to the Normal Distribution. Normal Distribution Excel Exercise. ck12.org Normal Distribution Problems: Qualitative sense of normal distributions. ck12.org Normal Distribution Problems: Empirical Rule. ck12.org Normal Distribution Problems: z-score. ck12.org Exercise: Standard Normal Distribution and the Empirical Rule. Empirical rule. ck12.org: More Empirical Rule and Z-score practice. Z scores 1. Z scores 2. Z scores 3. Central Limit Theorem. Sampling Distribution of the Sample Mean. Sampling Distribution of the Sample Mean 2. Standard Error of the Mean. Sampling Distribution Example Problem. Confidence Interval 1. Confidence Interval Example. Small Sample Size Confidence Intervals. Mean and Variance of Bernoulli Distribution Example. Bernoulli Distribution Mean and Variance Formulas. Margin of Error 1. Margin of Error 2. Hypothesis Testing and P-values. One-Tailed and Two-Tailed Tests. Type 1 Errors. Z-statistics vs. T-statistics. Small Sample Hypothesis Test. T-Statistic Confidence Interval. Large Sample Proportion Hypothesis Testing. Variance of Differences of Random Variables. Difference of Sample Means Distribution. Confidence Interval of Difference of Means. Clarification of Confidence Interval of Difference of Means. Hypothesis Test for Difference of Means. Comparing Population Proportions 1. Comparing Population Proportions 2. Hypothesis Test Comparing Population Proportions. Chi-Square Distribution Introduction. Pearson's Chi Square Test (Goodness of Fit). Contingency Table Chi-Square Test. ANOVA 1 - Calculating SST (Total Sum of Squares). ANOVA 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi. ANOVA 3 -Hypothesis Test with F-Statistic. Introduction to the Normal Distribution. Normal Distribution Excel Exercise. ck12.org Normal Distribution Problems: Qualitative sense of normal distributions. ck12.org Normal Distribution Problems: Empirical Rule. ck12.org Normal Distribution Problems: z-score. ck12.org Exercise: Standard Normal Distribution and the Empirical Rule. Empirical rule. ck12.org: More Empirical Rule and Z-score practice. Z scores 1. Z scores 2. Z scores 3. Central Limit Theorem. Sampling Distribution of the Sample Mean. Sampling Distribution of the Sample Mean 2. Standard Error of the Mean. Sampling Distribution Example Problem. Confidence Interval 1. Confidence Interval Example. Small Sample Size Confidence Intervals. Mean and Variance of Bernoulli Distribution Example. Bernoulli Distribution Mean and Variance Formulas. Margin of Error 1. Margin of Error 2. Hypothesis Testing and P-values. One-Tailed and Two-Tailed Tests. Type 1 Errors. Z-statistics vs. T-statistics. Small Sample Hypothesis Test. T-Statistic Confidence Interval. Large Sample Proportion Hypothesis Testing. Variance of Differences of Random Variables. Difference of Sample Means Distribution. Confidence Interval of Difference of Means. Clarification of Confidence Interval of Difference of Means. Hypothesis Test for Difference of Means. Comparing Population Proportions 1. Comparing Population Proportions 2. Hypothesis Test Comparing Population Proportions. Chi-Square Distribution Introduction. Pearson's Chi Square Test (Goodness of Fit). Contingency Table Chi-Square Test. ANOVA 1 - Calculating SST (Total Sum of Squares). ANOVA 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi. ANOVA 3 -Hypothesis Test with F-Statistic.

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.

Overview of the videos, exercises, reports, and Computer Science resources available on Khan Academy, with emphasis on how resources can be used in classrooms. For more information, check out http://www.khanacademy.org/toolkit/ka-resources. For a mapping of Khan Academy content to Common Core standards, check out khanacademy.org/commoncore. Khan Academy overview. Khan Academy reports overview. Khan Academy Exercise Overview. Khan Academy Computer Science in the classroom. Khan Academy overview. Khan Academy reports overview. Khan Academy Exercise Overview. Khan Academy Computer Science in the classroom.

Understanding how we can map one set of vectors to another set. Matrices used to define linear transformations. A more formal understanding of functions. Vector Transformations. Linear Transformations. Matrix Vector Products as Linear Transformations. Linear Transformations as Matrix Vector Products. Image of a subset under a transformation. im(T): Image of a Transformation. Preimage of a set. Preimage and Kernel Example. Sums and Scalar Multiples of Linear Transformations. More on Matrix Addition and Scalar Multiplication. Linear Transformation Examples: Scaling and Reflections. Linear Transformation Examples: Rotations in R2. Rotation in R3 around the X-axis. Unit Vectors. Introduction to Projections. Expressing a Projection on to a line as a Matrix Vector prod. Compositions of Linear Transformations 1. Compositions of Linear Transformations 2. Matrix Product Examples. Matrix Product Associativity. Distributive Property of Matrix Products. Introduction to the inverse of a function. Proof: Invertibility implies a unique solution to f(x)=y. Surjective (onto) and Injective (one-to-one) functions. Relating invertibility to being onto and one-to-one. Determining whether a transformation is onto. Exploring the solution set of Ax=b. Matrix condition for one-to-one trans. Simplifying conditions for invertibility. Showing that Inverses are Linear. Deriving a method for determining inverses. Example of Finding Matrix Inverse. Formula for 2x2 inverse. 3x3 Determinant. nxn Determinant. Determinants along other rows/cols. Rule of Sarrus of Determinants. Determinant when row multiplied by scalar. (correction) scalar multiplication of row. Determinant when row is added. Duplicate Row Determinant. Determinant after row operations. Upper Triangular Determinant. Simpler 4x4 determinant. Determinant and area of a parallelogram. Determinant as Scaling Factor. Transpose of a Matrix. Determinant of Transpose. Transpose of a Matrix Product. Transposes of sums and inverses. Transpose of a Vector. Rowspace and Left Nullspace. Visualizations of Left Nullspace and Rowspace. Rank(A) = Rank(transpose of A). Showing that A-transpose x A is invertible. A more formal understanding of functions. Vector Transformations. Linear Transformations. Matrix Vector Products as Linear Transformations. Linear Transformations as Matrix Vector Products. Image of a subset under a transformation. im(T): Image of a Transformation. Preimage of a set. Preimage and Kernel Example. Sums and Scalar Multiples of Linear Transformations. More on Matrix Addition and Scalar Multiplication. Linear Transformation Examples: Scaling and Reflections. Linear Transformation Examples: Rotations in R2. Rotation in R3 around the X-axis. Unit Vectors. Introduction to Projections. Expressing a Projection on to a line as a Matrix Vector prod. Compositions of Linear Transformations 1. Compositions of Linear Transformations 2. Matrix Product Examples. Matrix Product Associativity. Distributive Property of Matrix Products. Introduction to the inverse of a function. Proof: Invertibility implies a unique solution to f(x)=y. Surjective (onto) and Injective (one-to-one) functions. Relating invertibility to being onto and one-to-one. Determining whether a transformation is onto. Exploring the solution set of Ax=b. Matrix condition for one-to-one trans. Simplifying conditions for invertibility. Showing that Inverses are Linear. Deriving a method for determining inverses. Example of Finding Matrix Inverse. Formula for 2x2 inverse. 3x3 Determinant. nxn Determinant. Determinants along other rows/cols. Rule of Sarrus of Determinants. Determinant when row multiplied by scalar. (correction) scalar multiplication of row. Determinant when row is added. Duplicate Row Determinant. Determinant after row operations. Upper Triangular Determinant. Simpler 4x4 determinant. Determinant and area of a parallelogram. Determinant as Scaling Factor. Transpose of a Matrix. Determinant of Transpose. Transpose of a Matrix Product. Transposes of sums and inverses. Transpose of a Vector. Rowspace and Left Nullspace. Visualizations of Left Nullspace and Rowspace. Rank(A) = Rank(transpose of A). Showing that A-transpose x A is invertible.

We explore creating and moving between various coordinate systems. Orthogonal Complements. dim(V) + dim(orthogonal complement of V)=n. Representing vectors in Rn using subspace members. Orthogonal Complement of the Orthogonal Complement. Orthogonal Complement of the Nullspace. Unique rowspace solution to Ax=b. Rowspace Solution to Ax=b example. Projections onto Subspaces. Visualizing a projection onto a plane. A Projection onto a Subspace is a Linear Transforma. Subspace Projection Matrix Example. Another Example of a Projection Matrix. Projection is closest vector in subspace. Least Squares Approximation. Least Squares Examples. Another Least Squares Example. Coordinates with Respect to a Basis. Change of Basis Matrix. Invertible Change of Basis Matrix. Transformation Matrix with Respect to a Basis. Alternate Basis Transformation Matrix Example. Alternate Basis Transformation Matrix Example Part 2. Changing coordinate systems to help find a transformation matrix. Introduction to Orthonormal Bases. Coordinates with respect to orthonormal bases. Projections onto subspaces with orthonormal bases. Finding projection onto subspace with orthonormal basis example. Example using orthogonal change-of-basis matrix to find transformation matrix. Orthogonal matrices preserve angles and lengths. The Gram-Schmidt Process. Gram-Schmidt Process Example. Gram-Schmidt example with 3 basis vectors. Introduction to Eigenvalues and Eigenvectors. Proof of formula for determining Eigenvalues. Example solving for the eigenvalues of a 2x2 matrix. Finding Eigenvectors and Eigenspaces example. Eigenvalues of a 3x3 matrix. Eigenvectors and Eigenspaces for a 3x3 matrix. Showing that an eigenbasis makes for good coordinate systems. Orthogonal Complements. dim(V) + dim(orthogonal complement of V)=n. Representing vectors in Rn using subspace members. Orthogonal Complement of the Orthogonal Complement. Orthogonal Complement of the Nullspace. Unique rowspace solution to Ax=b. Rowspace Solution to Ax=b example. Projections onto Subspaces. Visualizing a projection onto a plane. A Projection onto a Subspace is a Linear Transforma. Subspace Projection Matrix Example. Another Example of a Projection Matrix. Projection is closest vector in subspace. Least Squares Approximation. Least Squares Examples. Another Least Squares Example. Coordinates with Respect to a Basis. Change of Basis Matrix. Invertible Change of Basis Matrix. Transformation Matrix with Respect to a Basis. Alternate Basis Transformation Matrix Example. Alternate Basis Transformation Matrix Example Part 2. Changing coordinate systems to help find a transformation matrix. Introduction to Orthonormal Bases. Coordinates with respect to orthonormal bases. Projections onto subspaces with orthonormal bases. Finding projection onto subspace with orthonormal basis example. Example using orthogonal change-of-basis matrix to find transformation matrix. Orthogonal matrices preserve angles and lengths. The Gram-Schmidt Process. Gram-Schmidt Process Example. Gram-Schmidt example with 3 basis vectors. Introduction to Eigenvalues and Eigenvectors. Proof of formula for determining Eigenvalues. Example solving for the eigenvalues of a 2x2 matrix. Finding Eigenvectors and Eigenspaces example. Eigenvalues of a 3x3 matrix. Eigenvectors and Eigenspaces for a 3x3 matrix. Showing that an eigenbasis makes for good coordinate systems.

Cash Accounting. Accrual Basis of Accounting. Comparing Accrual and Cash Accounting. Balance Sheet and Income Statement Relationship. Basic Cash Flow Statement. Doing the example with Accounts Payable growing. Fair Value Accounting. Expensing a Truck leads to inconsistent performance. Depreciating the truck. Depreciation in Cash Flow. Amortization and Depreciation. Cash Accounting. Accrual Basis of Accounting. Comparing Accrual and Cash Accounting. Balance Sheet and Income Statement Relationship. Basic Cash Flow Statement. Doing the example with Accounts Payable growing. Fair Value Accounting. Expensing a Truck leads to inconsistent performance. Depreciating the truck. Depreciation in Cash Flow. Amortization and Depreciation.

Discussions of economic topics and how they relate to current events. Unemployment. Unemployment Rate Primer (v2). Unemployment Rate Primer. Simple Analysis of Cost per Job Saved from Stimulus. Unemployment. Unemployment Rate Primer (v2). Unemployment Rate Primer. Simple Analysis of Cost per Job Saved from Stimulus.

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).

What it means to buy a company's stock. Bonds vs. Stocks. Basic Shorting. Shorting Stock. Shorting Stock 2. Is short selling bad?. Gross and Operating Profit. Basic Capital Structure Differences. Market Capitalization. Market Value of Assets. Price and Market Capitalization. Introduction to the Income Statement. Earnings and EPS. Introduction to the Price-to-Earnings Ratio. P/E Discussion. ROA Discussion 1. ROA Discussion 2. Depreciation. Amortization. P/E Conundrum. Enterprise Value. EBITDA. Raising money for a startup. Getting a seed round from a VC. Going back to the till: Series B. An IPO. More on IPOs. Equity vs. Debt. Bonds vs. Stocks. Chapter 7:Bankruptcy Liquidation. Chapter 11: Bankruptcy Restructuring. Stock Dilution. Acquisitions with Shares. Price Behavior After Announced Acquisition. Simple Merger Arb with Share Acquisition. Basic Leveraged Buyout (LBO). Corporate Debt versus Traditional Mortgages. Introduction to Bonds. Introduction to the yield curve. Relationship between bond prices and interest rates. Treasury Bond Prices and Yields. Annual Interest Varying with Debt Maturity. The Yield Curve. Chapter 7:Bankruptcy Liquidation. Chapter 11: Bankruptcy Restructuring. What it means to buy a company's stock. Bonds vs. Stocks. Basic Shorting. Shorting Stock. Shorting Stock 2. Is short selling bad?. Gross and Operating Profit. Basic Capital Structure Differences. Market Capitalization. Market Value of Assets. Price and Market Capitalization. Introduction to the Income Statement. Earnings and EPS. Introduction to the Price-to-Earnings Ratio. P/E Discussion. ROA Discussion 1. ROA Discussion 2. Depreciation. Amortization. P/E Conundrum. Enterprise Value. EBITDA. Raising money for a startup. Getting a seed round from a VC. Going back to the till: Series B. An IPO. More on IPOs. Equity vs. Debt. Bonds vs. Stocks. Chapter 7:Bankruptcy Liquidation. Chapter 11: Bankruptcy Restructuring. Stock Dilution. Acquisitions with Shares. Price Behavior After Announced Acquisition. Simple Merger Arb with Share Acquisition. Basic Leveraged Buyout (LBO). Corporate Debt versus Traditional Mortgages. Introduction to Bonds. Introduction to the yield curve. Relationship between bond prices and interest rates. Treasury Bond Prices and Yields. Annual Interest Varying with Debt Maturity. The Yield Curve. Chapter 7:Bankruptcy Liquidation. Chapter 11: Bankruptcy Restructuring.

An alternative to Cartesian coordinates. Parametric Equations 1. Parametric Equations 2. Parametric Equations 3. Parametric Equations 4. Polar Coordinates 1. Polar Coordinates 2. Polar Coordinates 3. Parametric Equations 1. Parametric Equations 2. Parametric Equations 3. Parametric Equations 4. Polar Coordinates 1. Polar Coordinates 2. Polar Coordinates 3.

Perfect Competition. Monopoly Basics. Monopolist Optimizing Price (part 1)- Total Revenue.. Monopolist Optimizing Price (part 2)- Marginal Revenue. Monopolist Optimizing Price (part 3)- Dead Weight Loss.avi. Optional Calculus Proof to Show that MR has Twice Slope of Demand. Review of Revenue and Cost Graphs for a Monopoly. Oligopolies and Monopolistic Competition. Monopolistic Competition and Economic Profit. Oligopolies, Duopolies, Collusion, and Cartels. Perfect Competition. Monopoly Basics. Monopolist Optimizing Price (part 1)- Total Revenue.. Monopolist Optimizing Price (part 2)- Marginal Revenue. Monopolist Optimizing Price (part 3)- Dead Weight Loss.avi. Optional Calculus Proof to Show that MR has Twice Slope of Demand. Review of Revenue and Cost Graphs for a Monopoly. Oligopolies and Monopolistic Competition. Monopolistic Competition and Economic Profit. Oligopolies, Duopolies, Collusion, and Cartels.

Prisoners' Dilemma and Nash Equilibrium. More on Nash Equilibrium. Why Parties to Cartels Cheat. Game Theory of Cheating Firms. Prisoners' Dilemma and Nash Equilibrium. More on Nash Equilibrium. Why Parties to Cartels Cheat. Game Theory of Cheating Firms.

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.

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.

Linear differential equations that contain second derivatives. 2nd Order Linear Homogeneous Differential Equations 1. 2nd Order Linear Homogeneous Differential Equations 2. 2nd Order Linear Homogeneous Differential Equations 3. 2nd Order Linear Homogeneous Differential Equations 4. Complex roots of the characteristic equations 1. Complex roots of the characteristic equations 2. Complex roots of the characteristic equations 3. Repeated roots of the characteristic equation. Repeated roots of the characteristic equations part 2. Undetermined Coefficients 1. Undetermined Coefficients 2. Undetermined Coefficients 3. Undetermined Coefficients 4. 2nd Order Linear Homogeneous Differential Equations 1. 2nd Order Linear Homogeneous Differential Equations 2. 2nd Order Linear Homogeneous Differential Equations 3. 2nd Order Linear Homogeneous Differential Equations 4. Complex roots of the characteristic equations 1. Complex roots of the characteristic equations 2. Complex roots of the characteristic equations 3. Repeated roots of the characteristic equation. Repeated roots of the characteristic equations part 2. Undetermined Coefficients 1. Undetermined Coefficients 2. Undetermined Coefficients 3. Undetermined Coefficients 4.

1 Spout Introduction. 2 Attach Spout's lever switches and motors. 3 Attach Spout's wires and connectors. 4 Attach Spout's sliding switches and resistors. 5 Connect Spout's antenna. 6 Attach Spout's LED eyes. 7 See inside Spout's motors and switches.

A review of hybrid orbitals, dot structures, electronegativity, and polarity. sp3 Hybridized Orbitals and Sigma Bonds. Pi bonds and sp2 Hybridized Orbitals. dot structures I: single bonds. dot structures II: multiple bonds. sp3 hybrid orbitals. tetrahedral bond angle proof. sp2 hybrid orbitals. sp hybrid orbitals. more hybridization. electronegativity. electronegativity and intermolecular forces. sp3 Hybridized Orbitals and Sigma Bonds. Pi bonds and sp2 Hybridized Orbitals. dot structures I: single bonds. dot structures II: multiple bonds. sp3 hybrid orbitals. tetrahedral bond angle proof. sp2 hybrid orbitals. sp hybrid orbitals. more hybridization. electronegativity. electronegativity and intermolecular forces.

Thinking about graphing on a coordinate plane, slope and other analytic geometry. Descartes and Cartesian Coordinates. The Coordinate Plane. Plot ordered pairs. Graphing points. Quadrants of Coordinate Plane. Graphing points and naming quadrants. Points on the coordinate plane. Ordered pair solutions of equations. Ordered Pair Solutions of Equations 2. Ordered pair solutions to linear equations. Recognizing Linear Functions. Interpreting linear relationships. Slope of a line. Slope of a Line 2. Slope and Rate of Change. Graphical Slope of a Line. Slope of a Line 3. Identifying slope of a line. Slope and Y-intercept Intuition. Line graph intuition. Graphing a line in slope intercept form. Converting to slope-intercept form. Graphing linear equations. Multiple examples of constructing linear equations in slope-intercept form. Constructing equations in slope-intercept form from graphs. Constructing linear equations to solve word problems. Linear equation from slope and a point. Finding a linear equation given a point and slope. Constructing the equation of a line given two points. Solving for the y-intercept. Slope intercept form. Linear Equations in Point Slope Form. Point slope form. Linear Equations in Standard Form. Point-slope and standard form. Converting between slope-intercept and standard form. Converting between point-slope and slope-intercept. Finding the equation of a line. Midpoint formula. Midpoint formula. Distance Formula. Distance formula. Perpendicular Line Slope. Equations of Parallel and Perpendicular Lines. Parallel Line Equation. Parallel Lines. Parallel Lines 2. Parallel lines 3. Perpendicular Lines. Perpendicular lines 2. Equations of parallel and perpendicular lines. Distance between point and line. Graphing Inequalities. Solving and graphing linear inequalities in two variables 1. Graphing Linear Inequalities in Two Variables Example 2. Graphing Inequalities 2. Graphing linear inequalities in two variables 3. Graphs of inequalities. Graphing linear inequalities. Graphing and solving linear inequalities. Descartes and Cartesian Coordinates. The Coordinate Plane. Plot ordered pairs. Graphing points. Quadrants of Coordinate Plane. Graphing points and naming quadrants. Points on the coordinate plane. Ordered pair solutions of equations. Ordered Pair Solutions of Equations 2. Ordered pair solutions to linear equations. Recognizing Linear Functions. Interpreting linear relationships. Slope of a line. Slope of a Line 2. Slope and Rate of Change. Graphical Slope of a Line. Slope of a Line 3. Identifying slope of a line. Slope and Y-intercept Intuition. Line graph intuition. Graphing a line in slope intercept form. Converting to slope-intercept form. Graphing linear equations. Multiple examples of constructing linear equations in slope-intercept form. Constructing equations in slope-intercept form from graphs. Constructing linear equations to solve word problems. Linear equation from slope and a point. Finding a linear equation given a point and slope. Constructing the equation of a line given two points. Solving for the y-intercept. Slope intercept form. Linear Equations in Point Slope Form. Point slope form. Linear Equations in Standard Form. Point-slope and standard form. Converting between slope-intercept and standard form. Converting between point-slope and slope-intercept. Finding the equation of a line. Midpoint formula. Midpoint formula. Distance Formula. Distance formula. Perpendicular Line Slope. Equations of Parallel and Perpendicular Lines. Parallel Line Equation. Parallel Lines. Parallel Lines 2. Parallel lines 3. Perpendicular Lines. Perpendicular lines 2. Equations of parallel and perpendicular lines. Distance between point and line. Graphing Inequalities. Solving and graphing linear inequalities in two variables 1. Graphing Linear Inequalities in Two Variables Example 2. Graphing Inequalities 2. Graphing linear inequalities in two variables 3. Graphs of inequalities. Graphing linear inequalities. Graphing and solving linear inequalities.