Introduction to Numerical Analysis for Engineering (13.002J)

Calendar

LEC #	TOPICS	KEY DATES
1	Introduction Computer Architecture Number Representations Recursion	Problem set 1 out Problem set 0 (In-class assignment)
2	Error Propagation Error Estimation Condition Numbers	MATLAB® handout
3	Linear Systems of Equations: Cramer’s Rule Gaussian Elimination	Problem set 1 due
4	Linear Systems: Gaussian Elimination Pivoting LU Factorization Error Analysis	Problem set 2 out
5	Linear Systems: Tri-diagonal Systems Special Matrices
6	Linear Systems: Iterative Methods Convergence of Iterative Schemes
7	Roots of Non-linear Equations: Bisection Newton-Ralphson Iteration	Problem set 2 due
8	Interpolation of Functions by Polynomials Lagrange Interpolation Triangular Family	Problem set 3 out
9	Numerical Differentiation and Integration Error Estimates
10	Ordinary Differential Equations Initial Value Problems: Euler and Runge-Kutta Methods	Problem set 3 due Problem set 4 out Take-home exam out; due 8 days later
11	Ordinary Differential Equations (cont.) Boundary Value Problems: Finite Difference Methods
12	Minimization Problems Least Square Approximation Optimization	Problem set 4 due