Chapter 7: Cauchy's Theorem & Final Syllabus Review Session [ALB]

Floating Point Representation [RRH]

Floating-3 [RRH]

Rounding Error [RRH]

Introductory Class [ALB]

Chapter 1: IEEE Standard (1985) for Double Precision [ALB]

Chapter 1: Rounding Error & Machine Epsilon Derivation [ALB]

Chapter03: Upper Bound of Truncation Error, Rounding Error & Relative Error [ALB]

Rounding Error, Truncation Error & Richardson Extrapolation [ALB]

Lecture 1.1 Floating Point Arithmetic 1 [NLH]

Lecture 1.2 Floating Point Arithmetic 2 [NLH]

Floating Point Arithmetic - 1

Floating Point Arithmetic - 2

Polynomial [RRH]

Vandermonde Matrix [RRH]

Lagrange [RRH]

Newton's Divided Difference & Cauchy's Theorem [RRH]

Hermite Practice [RRH]

Runge Practice [RRH]

Chapter 2: Vandermonde Matrix [ALB]

Chapter 2: Lagrange Interpolation Method [ALB]

Chapter 2: Runge Phenomenon & Chebyshev Nodes [ALB]

Chapter 2: Chebyshev Nodes Example & Chapter 3: Numerical Differentiation [ALB]

Lecture 2.1 Polynomials and Taylor Series [NLH]

Lecture 2.2 Polynomial Interpolation & Vandermonde Matrix [NLH]

Lecture 2.3 Lagrange Interpolation [NLH]

Lecture 2.4 Newton's Divided Difference Form [NLH]

Lecture 2.5 Cauchy's Theorem [NLH]

Lecture 2.6 Hermite Interpolation [NLH]

Lecture 2.7 Convergence, Runge Phenomenon, Chebyshev's Node [NLH]

Polynomial Interpolation - 1

Polynomial Interpolation - 2

Polynomial Interpolation - 3

Polynomial Interpolation - 4

Polynomial Interpolation - 5

Polynomial Interpolation - 6

Numerical Differentiation [RRH]

Richardson Extrapolation - Derivation [RRH]

Richardson Extrapolation - 2 [RRH]

Upper Bound of Truncation Error in Differentiation [RRH]

Chapter 3: Richardson Extrapolation [ALB]

Lecture 3.1 Numerical Differentiation 1 [NLH]

Lecture 3.2 Numerical Differentiation 2 | Richardson Extrapolation Theory [NLH]

Lecture 3.3 Numerical Differentiation 3 Examples [NLH]

Differentiation - 1

Differentiation - 2

Bisection Method [RRH]

Fixed Point Iteration [RRH]

Newton Raphson Method [RRH]

Aitken and Secant [RRH]

Chapter-04: Fixed Point Iteration [ALB]

Chapter 4: Contraction Mapping Theorem [ALB]

Chapter 4: Newton's Method [ALB]

Newton Raphson Method [ALB]

Lecture 4.1 Root Finding: Bisection Method [NLH]

Lecture 4.2 Root Finding: Fixed Point Iteration [NLH]

Lecture 4.4 Root Finding: Newton-Raphson Method [NLH]

Lecture 4.7 Root Finding: Quasi-Newton / Secant Method [NLH]

Example Problem - Gaussian Elimination [RRH]

Example Problem - LU Decomposition [RRH]

Chapter-05: Gaussian Elimination, No. of Operations, Pivoting [ALB]

Chapter-05: Gaussian Elimination, Pivoting, No. of Operations - 2 [ALB]

Chapter 05: LU Decomposition [ALB]

Lecture 5.1 Linear Systems: Basics & Triangular Systems [NLH]

Lecture 5.2 Linear Systems: Gaussian Elimination [NLH]

Lecture 5.3 Linear Systems: LU Decomposition [NLH]

Problem Solving Using Least Squares [RRH]

Problem Solving - QR Decomposition [RRH]

Chapter 6: QR Decomposition [ALB]

Chapter 6: QR Decomposition - 2 [ALB]

Lecture 6.1.1 Least Squares: Discrete Least Squares [NLH]

Lecture 6.1.2 Least Squares: Orthonormality [NLH]

Lecture 6.2 Least Squares: QR Decomposition [NLH]

Numerical Integration Part 1 [RRH]

Numerical Integration Part 2 [RRH]

Chapter 7: Numerical Integration Basics, Trapezium Rule [ALB]

Chapter 07: Simpson's Rule [ALB]

Chapter 7: Composite Newton's Cotes [ALB]

Lecture 7.1.1 Numerical Integration Part 1 [NLH]

Lecture 7.1.2 Numerical Integration Part 2 [NLH]

Lecture 7.2 Numerical Integration Part 3 [NLH]