Day 1: Algebra Review alg_review.pdf
            Calculus Review calc_review.pdf
Day 2: Taylor Polynomials with Remainder Taylor.pdf

Day 3: Work on HW#1 problem 2 in lab.

Day 4-5: Order of Convergence
               Computer Arithmetic and Errors errors.pdf
               Nested Multiplication and MATLAB program. nested.pdf

Day 6: Work on HW#1 problems 3 and 4 in lab.

Day 7: (bisection.pdf) Bisection Method, Section 3.1 in the text.  You should work on problem 1 in homework number 2.

Day 8: (newton.pdf) Newton's Method. Section 3.2 in the text. You should work on problems 2 and 3(a) in homework number 2. 

Day 9: Newton's Method Continued. We'll meet in the lab.  In the lab we'll download two files:  A function file called findslope.m, and a program file called plotslope.m. These provide a good example of how to pass a function to a function file.  Both of these can be found from the course web-site under Matlab-files. These should help you with problem number 2 in homework number 2.   

Day 10:   (Monday September 21) (secant.pdf) Secant Method: Section 3.3 in text.

Day 10 and 11: (Wed & Fri) Fixed point theory, orders of convergence. Section 3.4 in text: fixed-point.pdf

MATLAB commands for Vector and Matrix operations: commands.pdf

Interpolating Polynomials: Intro and some theorems: InterpIntro.pdf

Divided Differences: divdiff.pdf

Cubic Splines: cubic_spline.pdf

Bezier Curves and Cubic B-Splines:  BezBspline.pdf

Least Squares: leastsquares.pdf

Fourier Series: fourier.pdf

Numerical Integration:
    Introduction:  nint_intro.pdf
    Trapezoid and Simpson's 1/3 rule, local and composite errors. nint_trap_simp.pdf

Numerical Differentiation
    Introduction    ndiff_intro.pdf
    Difference Formulas    diff_formulas.pdf
    Derivations, Truncation Error, Optimal Step Size.     ndiff.pdf