Numerical Mathematics and Computing
Fifth Edition
Ward Cheney & David Kincaid
Sample Maple 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 then be downloaded.

Chapter 1: Introduction
horner_symbolic	3	Manipulation of Horner polynomial
sin_plot	18-19	Graph of Taylor series partial sums sin(x)
taylor_series	22	Taylor series expansion of functions
sqrt_approx	27	Taylor series expansion of square roots
Chapter 2: Number Representation and Errors
convert	51	Converting numbers
loss_of_significance	78	Loss of significance in subtraction
accuracy	81	Computations with various accuracy
Chapter 3: Locating Roots of Equations
fcn_roots	97	Roots of functions
newt	107-108	Newton's method example
poly_roots	128	Roots of a 5th degree polynomial
Chapter 4: Interpolation and Numerical Differentiation
newton_interp	145,152,176	Newton interpolation polynomial
runge_fun	170-171	Polynomial interpolation for Runge function
derivative	186	Symbolic and numerical derivative
Chapter 5: Numerical Integration
num_integ1	201	Numerical integration of exp(-x*x)
trapezoid_rule	208	Trapezoid rule for an integral
comp_trap_rule	212	Composite Trapezoid rule for an integral
Chapter 6: More on Numerical Integration
num_integ2	242	Numerical integration of cos(2*x)/exp(x)
Chapter 7: Systems of Linear Equations
gauss_elim1	266	Gaussian elimination first example
gauss_elim2	289-290	Gaussian elimination second example
band	303	Banded linear system example
penta	305	Pentadiagonal example
pentasym	305	Pentadiagonal symmetric example
Chapter 8: More on Systems of Linear Equations
lu	325,328	LU decomposition
lufactor	328-329	LU factorization
cp8-2-8	356	Computer Problem 8.2.8
char	358	Eigenvalues via characteristic polynomial
null	359	Null space, eigenvalues/eigenvectors
eigen	360	Eivenvalues/eigenvectors (LinearAlgebra)
Schur	362-363	Schur decomposition (Linear Algebra)
Svd	366	Singular value decomposition (linalg)
sng_val_decomp	367	Singular value decomposition (LinearAlgebra)
Chapter 9: Approximation by Spline Functions
cubic_spline1	402	Plot of natural cubic spline curve
cubic_spline2	407	Generate and plot cubic spline curve
bernstein_poly	432	Graph of few Bernstein polynomials
ctrl_pt_curve	433	Generating curves using control points
Chapter 10: Ordinary Differential Equations
ode0	443	Numerical solution of an IVP: example 0
ode1	444	Numerical solution of an IVP: example 1
euler	449	Euler's method for solving an ODE
ode2	452	Numerical solution of an IVP: example 2
ode3	453	Taylor series method (order 4) solving ODE: example 3
ode4	463	Numerical solution of an IVP: example 4
adams_mlt_coef	477	Adams-Moulton formulas
Chapter 11: Systems of Ordinary Differential Equations
ode_sys1	488,494	Analytic/numerical solution systems of ODE
ode_2nd_order	501	Second order IVP
ode_sys2	514	Analytic/numerical solution systems of ODE
Chapter 12: Smoothing of Data and the Method of Least Squares
lstsq1	524	Linear least squares example
lstsq2	524	Linear least squares example
lstsq3	526	Nonpolynomial least squares example
minimal_sol	551-552	Minimal solution random matrix A/vector b
svd_penrose_sol	553	Penrose properties for pseudomatrix
Chapter 13: Monte Carlo Methods and Simulation
rand_num	563	Generating random numbers
rand	563	Generating random integers
Chapter 14: Boundary Value Problems for Ordinary Differential Equations
bvp	607	Solving broundary value problems
Chapter 15: Partial Differential Equations
heat	623	Parabolic PDE: heat equation
wave	631-632	Hyperbolic PDE: wave equation
ell	645	Elliptic PDE
Chapter 16: Minimization of Functions
grad_hessian	674	Calculate gradient vector and Hessian matrix
Chapter 17: Linear Programming
lin_prog1	693	Maximize subject to inequality constraints
lin_prog2	697	Minimize subject to inequality constraints
lin_prog3	712-713	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/