Numerical Mathematics and Computing
Fifth Edition
Ward Cheney & David Kincaid
Sample Mathematica Codes

In the following table, each line/entry contains the code file name, the page number where it can be found in the textbook, and a brief description. Click on the program name to display the source code, which can be downloaded.

Chapter 1: Introduction
sineplot	20	Plots of partial series for sin(x)
sin	20	Sine series expansion and plot
series	22, 27	Taylor series expansions
Chapter 2: Number Representation and Errors
numbers	52	Examples of numbers in different bases
precision	66, 81	Machine precision and accuracy
Chapter 3: Locating Roots of Equations
bisect	98-99	Bisection example
newt	108-109	Newton's method example
newt_sys	115	Newton's method for system of equations
secant	128	Examples associated with Secant
Chapter 4: Interpolation and Numerical Differentiation
newt_interp1	145	Newton interpolation polynomial example (5 data points)
newt_interp2	152	Newton interpolation polynomial example (4 data points)
newt_interp_sin	155	Newton interpolation (sin(x) at 10 equidistant ponts)
inv_interp	157	Newton inverse interpolation example
runge_fcn	171-172	Newton interpolation Runge function
derivative	186,189	Newton interpolation example 1
Chapter 5: Numerical Integration
error_integral1	202	Numerical integration: error integral
sine_integral	209	Numerical integration: sine integral
error_integral2	213	Numerical integration: exp(-x*x)
bernoulli	226	Bernoulli polynomials
Chapter 6: More on Numerical Integration
cos-exp	240-241	Numerical integration example: cos(2x)/exp(x)
cp6-2-8	260	Computer Problem 6.2.8
Chapter 7: Systems of Linear Equations
lin_sys1	266	Linear system first example
lin_sys2	290	Linear system second example
Chapter 8: More on Systems of Linear Equations
lu_factor	329	LU factorization
char_poly	358	Characteristic polynomial example
null	359	Null space example
timing	360	Timing example
eigen	360	Eigenvalue/eigenvector example
schur	363	Schur form example
svd	368	Singular Value Decomposition example
Chapter 9: Approximation by Spline Functions
cubic_spline1	402	Cubic spline example 1
cubic_spline2	408	Cubic spline example 2
bezier	434	Bezier polynomial example
Chapter 10: Ordinary Differential Equations
explicit	443	Explicit solution of an ODE
practial	444	Practial ODE example
ode1	450	Numerical solution of an ODE
ode2	452	Numerical solution of an ODE
ode3	463	Numerical solution of an ODE
ode4	476	Numerical solution of an ODE
Chapter 11: Systems of Ordinary Differential Equations
ode_sys1	488,494	Analytic/numerical solution systems of ODE 1
ode_2nd_order	501	Second order IVP
ode_high_order	503	High order IVP
ode_sys2	515	Analytic/numerical solution systems of ODE 2
Chapter 12: Smoothing of Data and the Method of Least Squares
ls_fit	523-524	Linear least squares fit for polynomials
np_ls_fit	526	Least squares fit of a non-polynomial function
cheby	532	Plot of Chebyshev polynomials
p_inv1	552	Minimal solution using pseudo-inverse of matrices
p_inv2	554	Find pseudo-inverse in case of loss in rank
Chapter 13: Monte Carlo Methods and Simulation
ran_num_exps	564	Examples using random numbers
Chapter 14: Boundary Value Problems for Ordinary Differential Equations
bvp1	607	Two-point boundary-value problem example 1
bvp2	607-608	Two-point boundary-value problem example 2
Chapter 15: Partial Differential Equations
heat	623	Parabolic PDE: solve heat eqn. & plot
wave	634-635	Hyperbolic PDE: solve wave eqn. & plot
Chapter 16: Minimization of Functions
min_val1	658	Minimizing multivariate functions
min_val2	659	Find local minimum of a function
taylor_series	675	Taylor series in two variables
Chapter 17: Linear Programming
lin_prog1	694	Maximize subject to inequality constraints
lin_prog2	698	Minimize subject to inequality constraints
lin_prog3	713	Minimize subject to equality constraints
lin_prog4	715	Minimize subject to inequality constraints

Addditional programs can be found at the textbook's anonymous ftp site:

ftp://ftp.ma.utexas.edu/pub/cheney-kincaid/