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Calculus

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Lecture 01-Introduction to Ordinary Differential Equations (ODE), by Srinivasa Manam

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Lecture 03-Methods for first Order ODE’s-Exact Equations, by Srinivasa Manam

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Lecture 04-Methods for first Order ODE’s-Exact Equations (Continued), by Srinivasa Manam

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Lecture 05-Methods for first Order ODE’s-Reducible to Exact Equations, by Srinivasa Manam

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Lecture 06 : Generalized Sturm-Louiville Problem, by S. De

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Lecture 06-Methods for first Order ODE’s-Reducible to Exact Equations (Continued), by Srinivasa Manam

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Lecture 07 : Properties of Adjoint Operator, by S. De

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Lecture 07-Non-Exact Equations-Finding Integrating Factors, by Srinivasa Manam

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Lecture 08 : Separation of Variables: Rectangular Coordinate Systems, by S. De

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Lecture 08-Linear first Order ODE and Bernoulli’s Equation, by Srinivasa Manam

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Lecture 09 : Solution of 3 Dimensional Parabolic Problem, by S. De

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Lecture 09-Introduction to Second Order ODE’s, by Srinivasa Manam

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Lecture 1: Introduction to Linear Differential Equations, by P.N. Agarwal

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Lecture 10 : Function Formulas, Linear Models, by Inder Kumar Rana

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Lecture 10 :Solution of 4 Dimensional Parabolic Problem, by S. De

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Lecture 10-Properties of Solutions of Second Order Homogeneous ODE’s, by Srinivasa Manam

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Lecture 10:Method of Reduction for Second-Order Linear Differential Equations, by P.N. Agarwal

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Lecture 11 : Linear Models, Elasticity, Linear Functions, Nonlinear Models, Quadratic Functions, by Inder Kumar Rana

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Lecture 11 : Solution of 4 Dimensional Parabolic Problem (Contd.), by S. De

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Lecture 11-Abel’s Formula to Find the other Solution, by Srinivasa Manam

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Lecture 11:Method of Variation of Parameters, by P.N. Agarwal

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Lecture 12 : Quadratic Functions, Quadratic Models, Power Function, Exponential Function, by Inder Kumar Rana

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Lecture 12 : Solution of Elliptical PDE, by S. De

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Lecture 12-Abel’s Formula-Demonstrstion, by Srinivasa Manam

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Lecture 12:Solution of Second Order Differential Equations by Changing Dependent Variable, by P.N. Agarwal

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Lecture 13 : Exponential Function, Exponential Models, Logarithmic Function, by Inder Kumar Rana

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Lecture 13 : Solution of Hyperbolic PDE, by S. De

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Lecture 13-Second Order ODE’s with Constant Coefficients, by Srinivasa Manam

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Lecture 13:Solution of Second Order Differential Equations by Changing Independent Variable, by P.N. Agarwal

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Lecture 14 : Limit of a Function at a Point, Continuous Functions, by Inder Kumar Rana

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Lecture 14 : Orthogonality of Bessel Function and 2 Dimensional Cylindrical Coordinate System, by S. De

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Lecture 14-Euler-Cauchy Equation, by Srinivasa Manam

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Lecture 14:Solution of Higher-Order Homogenous Linear Differential Equations with Constant Coefficients, by P.N. Agarwal

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Lecture 15 : Cylindrical co-Ordinate System-3 Dimensional Problem, by S. De

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Lecture 15 : Limit of a Function at a Point, by Inder Kumar Rana

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Lecture 15-Non Homogeneous ODEs Variation of Parameters, by Srinivasa Manam

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Lecture 16 : Limit of a Function at a Point, Left and Right Limits, by Inder Kumar Rana

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Lecture 16 : Spherical Polar Coordinate System, by S. De

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Lecture 16-Method of Undetermined Coefficients, by Srinivasa Manam

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Lecture 16:Formulation of Partial Differential Equations, by P.N. Agarwal

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Lecture 17 : Computing Limits, Continuous Functions, by Inder Kumar Rana

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Lecture 17 : Spherical Polar Coordinate System (Contd.), by S. De

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Lecture 17-Demonstration of Method of Undetermined Coefficients, by Srinivasa Manam

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Lecture 17:Solution of Lagrange’s Equation-I, by P.N. Agarwal

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Lecture 18 : Applications of Continuous Functions, by Inder Kumar Rana

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Lecture 18 : Example of Generalized 3 Dimensional Problem, by S. De

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Lecture 18-Power Series and its Properties, by Srinivasa Manam

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Lecture 18:Solution of Lagrange’s Equation-II, by P.N. Agarwal

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Lecture 19 : Applications of Continuous Functions, Marginal of a Function, by Inder Kumar Rana

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Lecture 19 : Example of Application Oriented Problems, by S. De

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