Articles relevant to Numerical Methods

Return to Numerical Methods - Numerical Analysis

  1. Computer Derivations of Numerical Differentiation Formulae (Classroom Notes), John H. Mathews, International Journal of Mathematics Education in Science and Technology, Volume 34 No 2 (March-April 2003), pp.280-287.
  2. The Circle of Curvature: It's a Limit!, John H. Mathews, The AMATYC Review, Vol. 25, No. 1, Fall 2003, pp. 57-63.
  3. The Tangent Parabola, John H. Mathews and Russell W. Howell, The AMATYC Review, Vol. 23, No. 1, Fall 2001, pp. 25-32.
  4. Computing Square Roots Fast: Illustrating the Cubic Order of Convergence, John H. Mathews and Russ Howell, International Journal of Mathematics Education in Science and Technology, 1999, Vol. 30, No. 2, pp. 289-293.
  5. Using MATLAB as a Programming Language for Numerical Analysis, John H. Mathews and Kurtis D. Fink, International Journal of Mathematics Education in Science and Technology, 1994, Vol. 25, No. 4, pp. 481-490.
  6. Using MATLAB to Obtain both Numerical and Graphical Solutions to Hyperbolic P.D.E.'s, John H. Mathews, Computers in Education Division of the American Society of Engineering Education, January-March 1994, Vol. IV, No. 1, pp. 58-60.
  7. Using Mathematica to Teach Bessel Functions, John H. Mathews and Richard C. Gilbert, International Journal of Mathematics Education in Science and Technology, 1993, Vol. 24, No. 1, pp. 45-53.
  8. Bounded Population Growth: a Curve Fitting Lesson, John H. Mathews, Mathematics and Computer Education Journal, Spring 1992, Vol. 26, No. 2, pp. 169-176.
  9. Investigation of Tangent Polynomials with a Computer Algebra System, John H. Mathews and Russell Howell, The AMATYC Review, Fall 1992, Vol. 14, No. 1, pp. 20-27.
  10. Finding Least Squares Lines with Mathematica, John H. Mathews, PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, March 1991, Vol. I, No. 1, pp. 103-111.
  11. Using Computer Symbolic Algebra in Applied Engineering Mathematics to Teach Laplace Transforms, John H. Mathews, Computers in Education Division of ASEE, January-March 1991, Vol. 1, No. 1, pp. 71-76.
  12. Mathematica: a New Tool for Studying Optimization, John H. Mathews, International Journal of Mathematics Education in Science and Technology, 1991, Vol. 22, No. 4, pp. 569-576.
  13. Finding Extrema of Functions of Several Variables with a Computer Algebra System, John H. Mathews, The AMATYC Review, Vol. 12, No. 2, Spring 1991, pp. 12-20.
  14. Solving Differential Equations with CAS Software, John H. Mathews, Journal of Computers in Mathematics and Science Teaching, Winter 1990/1991, Vol. 10, No. 2, pp. 79-86.
  15. Some Interesting Fixed Points, John H. Mathews and Soo Tang Tan, The Mathematics Magazine, October 1990, Vol. 63, No. 4, pp. 263-269.
  16. Rational Approximation in an Educational Mathematics Laboratory, John H. Mathews, Computers & Education: An International Journal, 1990, Vol. 14, Number 1, pp. 31-34.
  17. Using a Computer Algebra System to Solve for Maxima and Minima, John H. Mathews and Robert Lopez, The College Mathematics Journal, November 1990, Vol. 21, No. 5., pp. 410-414.
  18. Teaching Riemann Sums Using Computer Symbolic Algebra Systems, John H. Mathews, The College Mathematics Journal, Vol. 21, No. 1, January 1990, pp. 51-55.
  19. Using Computer Symbolic Algebra in Applied Engineering Mathematics to Teach Fourier Series, John H. Mathews, Computers in Education Division of ASEE, Vol. X, No. 1, Jan. - March 1990, pp. 47-52.
  20. Enhancing Sophomore Engineering Calculus with Computer Symbolic Algebra, John H. Mathews, Proceedings of the International Conference on Computer Aided Training in Science and Technology'90, E. Onate et al. (Eds.), 1990, CIMNE-Pineridge Press, Barcelona, Spain, pp. 397-404.
  21. Computed Solution Curves for Differential Equations, John H. Mathews, The AMATYC Review, Fall 1989, Vol. 11, No. 1, (Part I), pp. 30-33.
  22. An Improved Newton's Method, John H. Mathews, The AMATYC Review, Spring 1989, Vol. 10, No. 2, pp. 9-14.
  23. Computer Symbolic Algebra Solutions of Second Order Differential Equations, John H. Mathews, Collegiate Microcomputer, November, 1989, Volume VII, Number 4, pp. 311-317.
  24. Computer Algebra Systems Approach to Teaching Taylor Polynomials, John H. Mathews, The AMATYC Review, Fall 1989, Vol. 11, No. 1, (Part 2), pp. 61-66.
  25. Using a Computer Algebra System to Teach Second Order Differential Equations, John H. Mathews, Computers in Education Division of ASEE, Vol. IX, No. 4, Oct. - Dec. 1989, pp. 7-10.
  26. Computer Symbolic Algebra Solutions of Second Order Differential Equations, John H. Mathews, Collegiate Microcomputer, Volume VII, Number 4, November, 1989, pp. 311-317.
  27. Using Computer Symbolic Algebra to Solve Differential Equations, John H. Mathews, Mathematics and Computer Education Journal, Vol. 23, No. 3, Fall 1989, pp. 174-182.
  28. Computer Symbolic Algebra Applied to Convergence Testing of Infinite Series, John H. Mathews, Collegiate Microcomputer, Vol. VII, No. 2, May 1989, pp. 171-176.
  29. Riemann Integral of cos x, The College Mathematics Journal, John H. Mathews and Harris S. Shultz Vol. 20, No. 3, May 1989, p.237.
  30. The Riemann Integral of xk, John H. Mathews and Harris S. Shultz, The AMATYC Journal, Vol. 10, No. 2., Spring, 1989, pp. 24-25.
  31. Symbolic Computational Algebra Applied to Picard Iteration, John H. Mathews, Mathematics and Computer Education Journal, Spring, 1989, Vol. 23, No. 2, pp. 117-122.
  32. A Note on Identities for cos nt Via Chebyshev Polynomials, John H. Mathews, Mathematics and Computer Education Journal, V.22, No. 3, Fall 1988, pp. 192-193.
  33. Using a Symbol Manipulation Program to Construct a Harmonic Conjugate Function, John H. Mathews, Computers in Education Division of ASEE, Vol. VIII, No. 3, July-September, 1988, pp. 67-71.
  34. Monte Carlo Estimate for Pi, John H. Mathews, Pi Mu Epsilon Journal, Vol. 5, 1972, pp. 281-282.

 

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Revised 4/1/04