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Gravitational Waves I - Lecture 2
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Wrichik Basu
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Sep 3, 2018
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Applied Multivariate Analysis (NPTEL):- Lecture 35: Discriminant Analysis and classification - 6
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May 30, 2018
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Ex: Derivative Application - Maximize Profit
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Introduction to Antiderivatives and Indefinite Integration (No Trig)
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Ex 4: Approximate the Area Under a Curve with 8 Right Sided Rectangles
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Ex 3: Approximate the Area Under a Curve with 8 Left Sided Rectangles
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Ex 2: Approximate the Area Under a Curve with 4 Right Sided Rectangles
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Ex 1: Approximate the Area Under a Curve with 4 Left Sided Rectangles
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Approximating Area Under a Graph Using Rectangles
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Area Under a Graph Using Rectangles - Application
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Ex: Approximate the Area Under a Curve Using Rectangles (Midpoint Using Graph)
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Ex: Approximate the Area Under a Curve Using Rectangles (Right Using Graph)
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Ex: Approximate the Area Under a Curve Using Rectangles (Left Using Graph)
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Ex 3: Reimann Sum Using a Quadratic Function (Right Endpoints and Above/Below x-axis)
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Ex 2: Riemann Sum Using an Exponential Function (Left Endpoints and Above x-axis)
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Ex 1: Riemann Sum Using a Quadratic Function (Right Endpoints and Above x-axis)
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Ex: Application of Area Under a Function Using Geometric Formulas - Distance
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Ex: Accumulation of Area Under a Function Using Geometric Formulas
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Ex: Evaluate a Definite Integral Using a Geometric Formula (Semicircle)
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Ex: Definite Integration of an Absolute Value Function Using Geometric Formula
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Ex: Definite Integration Using Geometric Formula (Line Above and Below X-Axis)
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Ex: Evaluate a Definite Integral Using Area from a Graph
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Determining Area Under Graphs Using Geometric Formulas
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Ex 3: Find the Area Under a Curve Using a Geometric Formula (Trapezoid)
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Ex 2: Find the Area Under a Curve Using a Geometric Formula (Triangle)
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Ex 1: Find the Area Under a Curve Using a Geometric Formula (Rectangle)
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Area Under a Graph
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Ex: Area of a Trapezoid on the Coordinate Plane
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Sigma Notation / Summation Notation
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Introduction to Sigma Notation
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Nuclear Physics by Prof. H. C. Verma (NPTEL):- Lecture 24: Radioactivity, Alpha Decay (Part 1)
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Wrichik Basu
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Lagrange Multipliers: Find the Max and Min of a Function of Two Variables
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Minimize a Cost Function of Two Variable Under a Constraint Using Lagrange Multipliers
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Maximize a Function of Two Variable Under a Constraint Using Lagrange Multipliers - f(x,y)=x^2y
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Maximize a Cobb Douglas Production Function Using Lagrange Multipliers
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Absolute Extrema of a Function of Two Variable Over Bounded Region (Circle / Lagrange)
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Lagrange Multipliers - Part 2
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Lagrange Multipliers - Part 1
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Find the Minimum Distance Between a Cone and a Point
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Ex: Minimize Cost to Make Open Top Box - Function of Two Variables
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Ex: Determine the Quantity to Maximize Revenue - Function of Two Variables
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Applications of Extrema of Functions of Two Variables III
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Applications of Extrema of Functions of Two Variables II
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Applications of Extrema of Functions of Two Variables I
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Absolute Extrema of a Function of Two Variable Over Bounded Region (Circle)
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Absolute Extrema of a Function of Two Variable Over Bounded Region (Rectangle)
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Absolute Extrema of a Function of Two Variable Over Bounded Region (Basic)
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Absolute Extrema of Functions of Two Variables
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Ex: Determine Relative Extrema for a Function of Two Variables
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Ex 2: Classify Critical Points as Extrema or Saddle Points - Function of Two Variables
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Ex 1: Classify Critical Points as Extrema or Saddle Points - Function of Two Variables
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Determining the Relative Extrema of a Function of Two Variables
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Determine the Critical Points of a Function of Two Variables
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Determine the Critical Points of a Function of Two Variables (Basic)
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Find a Linear Approximation to a Function of Two Variables and Estimate a Function Value
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Ex 3: Find the Equation of a Tangent Plane to a Surface (Trigonometric)
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Ex 2: Find the Equation of a Tangent Plane to a Surface (Exponential)
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Ex 1: Find the Equation of a Tangent Plane to a Surface
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Determining the Equation of a Tangent Plane
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Verifying the Equation of a Tangent Plane to a Surface
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Determining a Unit Normal Vector to a Surface
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Ex 3: Find a Value of a Directional Derivative - f(x,y)=ln(x^2+y^2)
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Ex 2: Find a Value of a Directional Derivative - f(x,y)=x^n*y^m
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Ex 1: Find a Value of a Directional Derivative - f(x,y)=xy
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Ex: Use the Gradient to Find the Maximum Rate of Increase of f(x,y)=(4y^5)/x from a Point
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Find the Gradient Vector Field of f(x,y)=ln(2x+5y)
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Find the Gradient Vector Field of f(x,y)=x^3y^5
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Ex: Find the Gradient of the Function f(x,y)=5xsin(xy)
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Ex: Find the Gradient of the Function f(x,y)=e^(2x)sin(3y)
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Ex: Find the Gradient of the Function f(x,y)=xy
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Show the Gradient to a Surface Using 3D Calc Plotter
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The Gradient
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Show Tangent Lines to a Surface Using 3D Calc Plotter - Directional Derivative
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Directional Derivatives
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Partial Implicit Differentiation
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Implicit Differentiation of Functions in One Variable using Partial Derivatives
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Application of Chain Rule of a Function of Two Variables - Change of Volume
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Ex: Chain Rule - Function of Two Variables with Three Independent Variable
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Ex: Chain Rule - Function of Two Variables with Two Independent Variable
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Ex: Chain Rule - Function of Two Variables with One Independent Variable
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The Chain Rule for Functions of Two Variables With Two Independent Variable
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The Chain Rule for Functions of Two Variables With One Independent Variable
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Linear Approximation for a Function Value (Function of Two Variables)
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Applications of Differentials of Functions of Several Variables
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Differentials of Functions of Two Variables
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Ex: Determine Second Order Partial Derivatives
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Ex: Find First and Second Order Partial Derivatives
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Second Order Partial Derivatives
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Ex: Application of First Order Partial Derivative (Change in Production)
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Ex: Find the Partial Derivative of a Function of Three Variables (Square Root)
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Ex: Find the Partial Derivatives of the Cobb Douglas Production Function
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Ex: Find Partial Derivative Values for a Square Root Function of Two Variables
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Ex: Find Partial Derivative Values for a Polynomial Function of Two Variables
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Ex: Determine a Partial Derivative Function of an Polynomial Function of Two Variables
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Ex: Determine a Partial Derivative Function of an Exponential Function of Two Variables
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Ex: Estimate the Value of a Partial Derivative Using a Contour Map
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First Order Partial Derivatives
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