Introduction to Numerical Analysis for Engineering (13.002J)

Lecture Notes

A list of lecture topics and supporting files for the lecture notes are included in the table below.

LEC #	TOPICS	LECTURE NOTES	SUPPORTING FILES
1	Introduction Computer Architecture Number Representations Recursion	(PDF - 1.7 MB)	horner.m (M) radd.m (M) recur.m (M) sqr.m (M)
2	Error Propagation Error Estimation Condition Numbers	(PDF - 2.6 MB)	euler.m (M) radd.m (M) sbfj.m (M) sbfj_3.m (M) sbfj_f.m (M) sbfj_f_3.m (M) sbfy.m (M) tsbfj.m (M)
3	Linear Systems of Equations: Cramer’s Rule Gaussian Elimination	(PDF - 1.8 MB)	tbt2.m (M) tbt3.m (M) tbt4.m (M) tbt5.m (M) tbt.m (M)
4	Linear Systems: Gaussian Elimination Pivoting LU Factorization Error Analysis	(PDF - 1.1 MB)	tbt6.m (M) tbt7.m (M)
5	Linear Systems: Tri-diagonal Systems Special Matrices	(PDF)
6	Linear Systems: Iterative Methods Convergence of Iterative Schemes	(PDF)	vib_string.m (M)
7	Roots of Non-linear Equations: Bisection Newton-Ralphson Iteration	(PDF - 1.5 MB)	bisect.m (M) cube.m (M) div.m (M) heron.m (M) sqr.m (M)
8	Interpolation of Functions by Polynomials Lagrange Interpolation Triangular Family	(PDF - 2.6 MB)	langrange.m (M) newton.m (M) newton_coef.m (M) newton_test.m (M)
9	Numerical Differentiation and Integration Error Estimates	(PDF)
10	Ordinary Differential Equations Initial Value Problems: Euler and Runge-Kutta Methods	(PDF - 3.0 MB)	euler.m (M) rk.m (M) rkg.m (M)
11	Ordinary Differential Equations (cont.) Boundary Value Problems: Finite Difference Methods	(PDF - 1.7 MB)
12	Minimization Problems Least Square Approximation Optimization	(PDF)	cost.m (M) curve.m (M) lstsq.m (M) salesman.m (M)