Here is a more detailed list of topics to be covered, along with the corresponding sections of Burden & Faires.

date	topic	section
09/29	Introduction & bisection method	2.1
10/02	bisection method & Newton's method	2.1, 2.3
10/04	Matlab tutorial	n/a
10/06	Newton's method & secant method	2.3, 2.4
10/09	Error Analysis for Newton and secant methods	2.4
10/11	Modified Newton's method for non-simple zeros	2.4
10/13	Round-off errors and computer arithmetic	1.2
10/16	Round-off errors and computer arithmetic II	1.2
10/18	Avoiding round-off problems	1.2
10/20	Introduction to polynomial interpolation	3.0, 3.1
10/23	Error analysis for Lagrange polynomials	3.1
10/25	Neville's method	3.1
10/27	Divided differences	3.2
10/30	Forward, backward and centered differences	3.2
11/01	Review	-
11/03	Midterm exam	1.2,2.1-2.4,3.0-3.2
11/06	Midterm solutions; numerical differentiation	4.1
11/08	Numerical differentiation	4.1
11/13	Richardson's extrapolation	4.2
11/15	Numerical integration	4.3
11/17	Composite numerical integration	4.4
11/20	Composite numerical integration and Gaussian Quadrature	4.4, 4.7
11/22	No Class	-
11/27	Gaussian elimination	6.1
11/29	Pivoting strategies	6.2
12/01	Operation counts for backward substitution and backward elimination; LU factorization	6.5
12/04	LU factorization; special types of matrices	6.5, 6.6
12/06	Special types of matrices; course evaluations	6.6
12/08	Review	-