# Elementary Numerical Analysis Video Lectures

Elementary Numerical Analysis
'Elementary Numerical Analysis' Video Lectures by Prof. Rekha P. Kulkarni from IIT Bombay
 "Elementary Numerical Analysis" - Video Lectures 1. L1- Introduction 2. L2-Polynomial Approximation 3. L3-Interpolating Polynomials 4. L4-Properties of Divided Difference 5. L5-Error in the Interpolating polynomial 6. L6-Cubic Hermite Interpolation 7. L7-Piecewise Polynomial Approximation 8. L8-Cubic Spline Interpolation 9. L9-Tutorial 1 10. L10-Numerical Integration: Basic Rules 11. L11-Composite Numerical Integration 12. L12-Gauss 2-point Rule: Construction 13. L13-Gauss 2-point Rule: Error 14. L14-Convergence of Gaussian Integration 15. L15-Tutorial 2 16. L16-Numerical Differentiation 17. L17-Gauss Elimination 18. L18-L U decomposition 19. L19-Cholesky decomposition 20. L20-Gauss Elimination with partial pivoting 21. L21-Vector and Matrix Norms 22. L22-Perturbed Linear Systems 23. L23-Ill-conditioned Linear System 24. L24-Tutorial 3 25. L25-Effect of Small Pivots 26. L26-Solution of Non-linear Equations 27. L27-Quadratic Convergence of Newton's Method 28. L28-Jacobi Method 29. L29-Gauss-Seidel Method 30. L30-Tutorial 4 31. L31-Initial Value Problem 32. L32-Multi-step Methods 33. L33-Predictor-Corrector Formulae 34. L34-Boundary Value Problems 35. L35-Eigenvalues and Eigenvectors 36. L36-Spectral Theorem 37. L37-Power Method 38. L38-Inverse Power Method 39. L39-Q R Decomposition 40. L40-Q R Method
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