Numerical Mathematics and Computing
Seventh Edition
Ward Cheney & David Kincaid
Sample Maple Codes

In the following table, each line/entry contains the code file name and a brief description.
Click on the program name to display the source code, which can then be downloaded.

Chapter 1: Mathematical Preliminaries and Floating-Point Representation
horner_symbolic		Manipulation of Horner polynomial
sin_plot		Graph of Taylor series partial sums sin(x)
taylor_series		Taylor series expansion of functions
sqrt_approx		Taylor series expansion of square roots
convert		Converting numbers
loss_of_significance		Loss of significance in subtraction
accuracy		Computations with various accuracy
Chapter 2: Linear Systems
gauss_elim1		Gaussian elimination first example
gauss_elim2		Gaussian elimination second example
band		Banded linear system example
penta		Pentadiagonal example
pentasym		Pentadiagonal symmetric example
Chapter 3: Nonlinear Equations
fcn_roots		Roots of functions
newt		Newton's method example
poly_roots		Roots of a 5th degree polynomial
Chapter 4: Interpolation and Numerical Differentiation
newton_interp		Newton interpolation polynomial
runge_fun		Polynomial interpolation for Runge function
derivative		Symbolic and numerical derivative
Chapter 5: Numerical Integration
num_integ1		Numerical integration of exp(-x*x)
trapezoid_rule		Trapezoid rule for an integral
comp_trap_rule		Composite Trapezoid rule for an integral
num_integ2		Numerical integration of cos(2*x)/exp(x)
Chapter 6: Spline Functions
cubic_spline1		Plot of natural cubic spline curve
cubic_spline2		Generate and plot cubic spline curve
bernstein_poly		Graph of few Bernstein polynomials
ctrl_pt_curve		Generating curves using control points
Chapter 7: Initail Value Problems
ode0		Numerical solution of an IVP: example 0
ode1		Numerical solution of an IVP: example 1
euler		Euler's method for solving an ODE
ode2		Numerical solution of an IVP: example 2
ode3		Taylor series method (order 4) solving ODE: example 3
ode4		Numerical solution of an IVP: example 4
adams_mlt_coef		Adams-Moulton formulas
ode_sys1		Analytic/numerical solution systems of ODE
ode_2nd_order		Second order IVP
ode_sys2		Analytic/numerical solution systems of ODE
Chapter 8: More on Linear Systems
lu		LU decomposition
lufactor		LU factorization
cp8-2-8		Computer Problem 8.2.8
char		Eigenvalues via characteristic polynomial
null		Null space, eigenvalues/eigenvectors
eigen		Eivenvalues/eigenvectors (LinearAlgebra)
Schur		Schur decomposition (Linear Algebra)
Svd		Singular value decomposition (linalg)
sng_val_decomp		Singular value decomposition (LinearAlgebra)
Chapter 9: Least Squares Methods and Fourier Series
lstsq1		Linear least squares example
lstsq2		Linear least squares example
lstsq3		Nonpolynomial least squares example
minimal_sol		Minimal solution random matrix A/vector b
svd_penrose_sol		Penrose properties for pseudomatrix
Chapter 10: Monte Carlo Methods and Simulation
rand_num		Generating random numbers
rand		Generating random integers
Chapter 11: Boundary Value Problems for Ordinary Differential Equations
bvp		Solving broundary value problems
Chapter 12: Partial Differential Equations
heat		Parabolic PDE: heat equation
wave		Hyperbolic PDE: wave equation
ell		Elliptic PDE
Chapter 13: Minimization of Functions
grad_hessian		Calculate gradient vector and Hessian matrix
Chapter 14: Linear Programming Problems
lin_prog1		Maximize subject to inequality constraints
lin_prog2		Minimize subject to inequality constraints
lin_prog3		Minimize subject to equality constraints
lin_prog4		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/