Lecture 1 :~ Absolute ERROR | Relative error | How error PROPAGATE? UNCERTAINTY

Lecture 2 :~ NEWTON'S Method for Nonlinear System of Equations | JACOBIAN | Numerical Analysis

Lecture 3 :~ Order of Convergence for Newton-Raphson Method | PROOF | Numerical Analysis

Lecture 4 :~ Newton Raphson Method for System of Nonlinear Equations (An example Problem)

Lecture 5 :~ What is LU Decomposition? TYPES of LU Decomposition to solve SYSTEM OF EQUATIONS

Lecture 6 :~ LU decomposition | How to solve linear system of equations using DOOLITTLE'S Method?

Lecture 7 :~ Crout's & Doolittle's LU decomposition | LU decomposition fails? | Recursive formula

Lecture 8 :~ CONVERGENCE? | When does GAUSS-SEIDEL Method fails?

Lecture 9 :~ Solution of System of Equations using GAUSS-SEIDEL Method | Diagonal Dominant Form

Lecture 10 :~ Numerical Differentiation | How to find DERIVATIVES of a function NUMERICALLY?

Lecture 11 :~ TRAPEZOIDAL Rule for Integration | How to remember the formula quickly

Lecture 12 :~ Simpson's Rule for INTEGRATION | How to remember formula?