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4. Describing Bivariate Data: Computing Pearson's r
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3. Describing Bivariate Data: Properties of Pearson's Correlation
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2. Describing Bivariate Data: Pearson's Correlation
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1. Describing Bivariate Distributions: Introduction
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8. Summarizing Distributions: Measures of Central Tendency
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7. Summarizing Distributions: Shape
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6. Summarizing Distributions: Measures of Variability
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5. Summarizing Distributions: Comparing Measures of Central Tendency
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4. Summarizing Distributions: Additional Measures of Central Tendency
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3. Summarizing Distributions: Mean and Median
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2. Summarizing Distributions: Measures of Central Tendency
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1. Summarizing Distributions: What is Central Tendency
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5. Graphing Distributions: Box Plots
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4. Graphing Distributions: Histograms
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3. Graphing Distributions: Stem and Leaf Displays
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2. Graphing Distributions: Graphing Qualitative Data
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1. Describing Bivariate Distributions: Introduction
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9. Introduction to Statistics: Levels of Measurement
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8. Introduction to Statistics: Percentiles
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7. Introduction to Statistics: Linear Transformations
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6. Introduction to Statistics: Inferential Statistics
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5. Introduction to Descriptive Statistics
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4. Introduction to Statistics: Summation Notation
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3. Introduction to Statistics: Variables
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2. Introduction to Statistics: What are statistics?
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1. Introduction to Statistics: Importance of Statistics
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Ex: Find the Inverse Laplace Transform of the Convolution of Two Functions<
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Ex: Find the Laplace Transform of the Convolution Integral
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Ex: Find the Convolution of Two Exponential Functions
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Ex: Find the Laplace Transform of a f(t) Times a Unit Step Function
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Ex: Find the Laplace Transform of a Piecewise Defined Function (Ramp)
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Ex: Find the Laplace Transform of a Step Function (method #2)
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Ex: Find the Laplace Transform of a Step Function (method #1)
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Ex: Write a Ramp Function Using the Unit Step Function
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Ex 2: Write a Step Function Using the Unit Step Function
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Ex 1: Write a Step Function Using the Unit Step Function
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Ex 2: Solve a Homogeneous DE IVP Using Laplace Transforms
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Ex 1: Solve a Homogeneous DE IVP Using Laplace Transforms
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Ex 2: Find the Inverse Laplace Transform of Y(s) Using Partial Fractions
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Ex 1: Find the Inverse Laplace Transform of Y(s) Using Partial Fractions
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Find Inverse Laplace Transforms: sinh(at) and e^(at)
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Find Inverse Laplace Transforms: sin(at) and cos(at)
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Find Inverse Laplace Transforms: e^(at) and t^n
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Find Basic Inverse Laplace Transforms of the Form t^n
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Laplace Transform: Find Y(s)=L(y) Given a Nonhomogeneous Differential Equation
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Laplace Transform: Find Y(s)=L(y) Given a Homogeneous Differential Equation
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Ex: Find the Laplace Transform of f(t)=sin(6t) Using Definition
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Ex: Find the Laplace Transform of f(t)=t^3 Using Definition
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Ex: Find the Laplace Transform of f(t)=e^(2t) Using Definition
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Ex: Find the Laplace Transform of f(t)=3 Using Definition
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Introduction to Laplace Transforms
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Ex: Determine a Dampening Force For An Critically Damped System (Free Damped Vibration)
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Ex: Determine a Dampening Force For An Overdamped System (Free Damped Vibration)
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Ex: Model Free Damped Vibration and Find Displacement Function
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Ex 3: Free Undamped Motion IVP Problem (Spring System)
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Ex 2: Free Undamped Motion IVP Problem (Spring System)
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Ex 1: Free Undamped Motion IVP Problem (Spring System)
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Introduction to Free Undamped Motion (Spring System)
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Find a Particular Solution to a Nonhomgeneous DE Using Variation of Parameters
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Determine a Particular Solution of a Second Order DE using Variation of Parameters
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Ex 3: General Solution to a Second Order DE Using Variation of Parameters (trig)
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Ex 2: General Solution to a Second Order DE Using Variation of Parameters
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Ex 1: General Solution to a Second Order DE Using Variation of Parameters
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Derive the Variation of Parameters Formula to Solve Linear Second Order Nonhomogeneous DEs
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Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Sine)
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Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Repeat Term)
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Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Exponential)
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Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Quadratic)
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Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Linear)
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Initial Value Problem Using Method of Undetermined Coefficients
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Ex 2: Method of Undetermined Coefficients to Find the General Solution (quadratic)
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Ex 1: Method of Undetermined Coefficients to Find the General Solution (exponential)
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Method of Undetermined Coefficients to Find a Particular Solution (trig)
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The Form of the Particular Solution Using the Method of Undetermined Coefficients - Part 2
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The Form of the Particular Solution Using the Method of Undetermined Coefficients - Part 1
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Prove the Form of the General Solution to a Linear Second Order Nonhomogeneous DE
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Shortcut Reduction of Order - Linear Second Order Homogeneous Differential Equations Part 2
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Reduction of Order - Linear Second Order Homogeneous Differential Equations Part 2
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Shortcut Reduction of Order - Linear Second Order Homogeneous Differential Equations Part 1
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Reduction of Order - Linear Second Order Homogeneous Differential Equations Part 1
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Verify a Fundamental Set of Solutions for a Linear Second Order Homogeneous DE
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Second Order Nonhomogeneous Cauchy-Euler Differential Equations
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Ex: Solve a Second Order Cauchy-Euler DE Initial Value Problem (Complex)
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Ex: Solve a Second Order Cauchy-Euler DE Initial Value Problem (2 equal real)
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Ex: Solve a Second Order Cauchy-Euler DE Initial Value Problem (2 distinct real)
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General Solution to a Second Order Homogeneous Cauchy-Euler Equation (complex)
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General Solution to a Second Order Homogeneous Cauchy-Euler Equation (equal roots)
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General Solution to a Second Order Homogeneous Cauchy-Euler Equation (distinct real)
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Cauchy-Euler Initial Value Problem
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Derive the Auxiliary Equation for a Cauchy-Euler Equation
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Describe the End Behavior of the Solutions to a Linear Second Order Homogeneous DE
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Ex: Solve Linear Second Order Homogeneous DE with Constant Coefficients to Determine an Initial Condition
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Ex: Solve Linear Second Order Homogeneous DE IVP with Constant Coefficients (Complex)
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Ex: Solve a Linear Second Order Homogeneous Differential Equation Initial Value Problem (complex)
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Ex: Linear Second Order Homogeneous Differential Equations - (complex roots)
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Linear Second Order Homogeneous Differential Equations - (complex roots)
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Ex: Linear Second Order Homogeneous Differential Equations - (two real equal roots)
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Linear Second Order Homogeneous Differential Equations - (two real equal roots)
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Ex: Linear Second Order Homogeneous Differential Equations - (two real irrational roots)
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