• The Course Syllabus
• Tentative Course Schedule
• Grading Guidelines
• CIS Lab Schedule
  See when you can use the lab to do your homework.
• mathworld.wolfram.com
  Contains a wealth of resources, including some on numerical methods.
• Information on UNIX Editors
• For information on available commands on our Linux server, enter the following at the comand prompt:
  topic
topic 12
• See the Server Usage page
  For information about our server and the software you can use to access it.
• The easiest way to compile a Fortran 90 program on our Linux system is as follows, where we assume that the program is named series.f90:
  build90 series
  The build90 script will link in the library of numerical subroutines if needed. It will put the executable in a file with the name series (without the .f90). You then run the program by entering ./series at the command prompt.
• Information on Well-known Series
• Power Series
• Fortran programs:
  Anyone can copy these examples when viewing them in a browser. Students in this class can also copy them at the commmand line as in the following two examples:
  cp /users/cs270/trap1.f90 . (The dot is necessary. It represents the current directory. Thus we will copy the file to the current directory. The filename will stay the same.)
  cp /users/cs270/convert.f90 myconvert.f90 (This will copy to a new filename in the current directory.)
  • aboveavg.f90
    Illustrates the use of a 1-dimensional array.
  • arith1.f90
    Prints the largest integer, the largest plus 1, etc.
  • arith2.f90
    Tries division by zero, etc.
  • arith3.f90
    Experiments with adding large and small numbers, as well as adding in different orders.
  • average1.f90
    Averages a list of numbers with 0 used to end data entry.
  • average2.f90
    Uses a WHILE loop to solve the same problem.
  • bsectst1.f90
    Uses bisection algorithm to find a zero of a function.
  • bsectst2.f90
  • bsectst3.f90
  • convert.f90
    Simple program to convert from Fahrenheit to Kelvin.
  • deriv1.f90
    Program to compute a derivative at a point.
  • epsilon1.f90
    Estimates the machine epsilon.
  • epsilon2.f90
    A minor variation on the previous program.
  • epsilon3.f90
    Shows how to use a subroutine.
  • factorial.f90
    Prints the factorial of each nonnegative integer entered.
  • integ3.f90
    Uses the numerical subroutine library to integrate sin(x) from 0 to pi.
  • leqtest.f90
    Uses Gaussian elimination with partial pivoting to solve a system of linear equations.
  • leq.in
    Input data file for the previous program.
  • linear1.f90
    Uses a library subroutine to solve a system of linear equations.
  • linear2.f90
    Solves a system of 3 linear equations in 3 variables via simple-minded elimination and back substitution.
  • looptest.f90
    Finds the limits for integer and real loop control variables.
  • machine1.f90
    Looks up and prints the values of various machine constants.
  • machine2.f90
    Looks up and prints the values of some other machine constants.
  • maxmin.f90
    Finds where max and min are in a list of integers.
  • multiply1.f90
    Simply multiplies two numbers.
  • multiply2.f90
    Prints some products and quotients.
  • newton3.f90
    Uses Newton's method for finding a zero of a function.
  • newraph3.f90
    Uses Newton-Raphson method for finding a zero of a function.
  • ode1.f90
    Solves an ordinary differential equation via Euler's method.
  • ode2.f90
    Solves another ordinary differential equation via Euler's method.
  • ode3.f90
    Uses Taylor's series to solve an ordinary differential equation.
  • ode4.f90
    Uses Taylor's series to solve another ordinary differential equation.
  • quadeq1.f90
    Solves a quadratic equation via the quadratic formula.
  • readfile.dat
    Data file to accompany the following program.
  • readfile.f90
    Shows how to read numbers from a formatted file.
  • series1.f90
    Finds a partial sum of the series 1+ 1/2 + 1/4 + 1/8 +...
  • series2.f90
    Finds sin(x) for a particular value x by using the power series for sin(x).
  • series3.f90
    Uses an array so that terms can be added from smallest to largest.
  • series8.f90
    Program to investigate a Fourier series that converges to 1 on (-1, 1), to 0 at 1, to -1 on (1, 3), etc.
  • series15.f90
    Uses a Taylor's series approximation to integrate sin(x) from 0 to pi.
  • sqroot.f90
    Prints a table of square roots. More importantly, it shows how to use a 1-dimensional array.
  • subroutines.f90
    Illustrates how to write and use subroutines. Really short subroutines are used in this and the next two examples in order to keep the examples simple.
  • subroutines2.f90
    Illustrates how to write and use subroutines. This one has a subroutine with an INOUT parameter.
  • subroutines3.f90
    Illustrates how to write and use subroutines. This one replaces one of the subroutines in the previous two examples with a function.
  • trap1.f90
    Uses the trapezoidal rule to integrate sin(x) from 0 to pi.
  • trap2.f90
    Double precision version of trap1.f90.

Homework and Labs

Tests

Final Exam: Thurs, May 8, 8:30 - 10:30 am Open book, open notes exam. Bring your handouts as you will need them to answer several of the questions. Covers the numerical analysis topics of power series (especially Taylor's series), Fourier series, systems of linear equations, finding roots of non-linear equations (zeros of functions), numerical integrations, approximating the value of a derivative at a point, and solving simple ordinary differential equations. Also covers ch 5 (FORMAT statements, reading and writing files), ch 6 (arrays), ch 7 (functions, subroutines, and parameters), and 8.1 (2-dimensional arrays). Bring a good calculator to the exam. Calculators may not be shared during the exam. Computers, cell phones, and other devices may not be used on the exam. Instructor: Br. David Carlson Maintained by: Br. David Carlson Last updated: April 29, 2008 Disclaimer