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Lec 23: Lattices, by Sajith Gopalan

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Lec 27: Pigeon Hole Principle, by Sajith Gopalan

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Lec 11: Introduction to Graph Theory, by Sajith Gopalan

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Lec 3: First Order Logic: Introduction, by Sajith Gopalan

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Lec 10: Embedding of the Theories of Integers and Rational Numbers in Set Theory; Countable Sets, by Sajith Gopalan

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Lec 26: Congruences, by Sajith Gopalan

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Lec 5: Proof System for Propcal, by Sajith Gopalan

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Lec 41: Cosets, Lagrange’s Theorem, by Sajith Gopalan

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Lec 35: Chinese Remainder Theorem, by Sajith Gopalan

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Lec 29: Generating Functions, by Sajith Gopalan

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Lec 36: Totient; Congruences; Floor and Ceiling Functions, by Sajith Gopalan

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Lec 39: Dihedral Groups, Isomorhphisms, by Sajith Gopalan

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Lec 30: Product of Generating Functions, by Sajith Gopalan

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Lecture 42 :Solving ODE-Ivps : Runge Kutta Methods (contd.) and Multi-Step Methods, by Sachin C. Patwardhan

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Lecture 44 : Solving ODE-Ivps : Multi-Step Methods (contd.) and Orthogonal Collocations Method, by Sachin C. Patwardhan

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Lecture 31 : Iterative Methods for Solving Linear Algebraic Equations: Convergence Analysis (Contd.), by Sachin C. Patwardhan

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Lecture 23 : Discretization of ODE-BVP Using least Square Approximation and Gelarkin Method, by Sachin C. Patwardhan

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Lecture 29 :Iterative Methods for Solving Linear Algebraic Equations: Convergence Analysis Using Matrix Norms, by Sachin C. Patwardhan

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Lecture 22 :Discretization of ODE-BVP Using least Square Approximation, by Sachin C. Patwardhan

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Lecture 49 : Methods for Solving System of Differential Algebraic Equations (contd.) and Concluding Remarks, by Sachin C. Patwardhan

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Lecture 37 : Solving Nonlinear Algebraic Equations: Optimization Based Methods, by Sachin C. Patwardhan

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Lecture 12 : Solving ODE-Bvps Using Firute Difference Method, by Sachin C. Patwardhan

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Lecture 45 : Solving ODE-Ivps: Selection of Integration Interval and Convergence Analysis of Solution Schemes, by Sachin C. Patwardhan

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Lecture 6 : Introduction to Inner Product Spaces, by Sachin C. Patwardhan

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Lecture 19 :Linear least Square Estimation and Geometric Interpretation of the least Square Solution, by Sachin C. Patwardhan

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Lecture 27 : Iterative Methods for Solving Linear Algebraic Equations, by Sachin C. Patwardhan

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Lecture 15 : Polynomial and Function Interpolations,Orthogonal Collocations Method for Solving ODE-Bvps, by Sachin C. Patwardhan

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Lecture 3 : Basic Dimension and Sub-Space of a Vector Space, by Sachin C. Patwardhan

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Lecture 38 : Solving Nonlinear Algebraic Equations: Introduction to Convergence Analysis of Iterative Solution Techniques, by Sachin C. Patwardhan

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Lecture 48 : Methods for Solving System of Differential Algebraic Equations, by Sachin C. Patwardhan

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