Numerical Methods For Mathematics John H Mathews Pdf Merge

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Provides an introduction to numerical analysis, with a particular emphasis on why numerical methods work and what their limitations are. In a straightforward presentation, the book shows readers how the mathematics of calculus and linear algebra are inplemented in computer algorithms. Numerical methods using MATLAB John. Mathews, Kurtis D. Fink download B–OK. Download books for free. Numerical methods For computer science engineering and mathematics Author(S) John H. Mathews Publication Data Englewood Cliffs: Prentice-Hall Publication€ Date 1987 Edition NA Physical Description XIII, 507p Subject Mathematics Subject Headings Numerical aUncategorisedlysis Electronic data processing Mathematics Engineering mathematics ISBN.

MATH 471 - Summer 2020
Tu W Th 10:00 am - 12:00 pm via BlueJeans in Canvas

Instructor:

Lyudmyla Barannyk
317 Brink Hall
tel: (208) 885-6719
fax: (208) 885-5843
barannyk@uidaho.edu



Handouts


Course Description

This is a survey course of the basic numerical methods which are used to solve practical scientific problems. Important concepts such as accuracy, stability, efficiency and convergence are discussed. The course requires writing programs. MATLAB, an interactive program for numerical linear algebra, may be used among other high-level programming languages.

Textbook

A Friendly Introduction to Numerical Analysis
By: Brian Bradie
ISBN: 0-13-013054-0
Publisher: Prentice Hall
Copyright: 2006
Published: 04/26/2005

Additional reading:

Numerical Computing with MATLAB
By: Cleve B. Moler
ISBN: 0898715601
Publisher: Society for Industrial & Applied (06/01/2004)

Available electronically at http://www.mathworks.com/moler/

Numerical Methods Using Matlab (Fourth Edition).
By: John H. Mathews and Kurtis D. Fink
Errata for 4th Edition: Numerical Methods Using MATLAB, John H. Mathews and Kurtis D. Fink

An introduction to numerical analysis
By: Kendall E. Atkinson QA 297.A841
Numerical Analysis
By: Richard L. Burden and J. Douglas Faires
Elementary Numerical Analysis (3rd Edition)
By: Kendall Atkinson and Weimin Han

MATLAB guide
By: Desmond J. Higham & Nicholas J. Higham. QA297 .H5217 2000

Syllabus

Download syllabus: .pdf

Objectives of the course

  • Develop numerical methods for approximately solving problems from continuous mathematics on the computer
  • Examine the accuracy of these methods
  • Examine the stability of these methods
  • Examine the failure modes of these methods
  • Implement these methods in a computer language (MATLAB)

Computer language

In this course, we will make extensive use of Matlab, a technical computing environment for numerical computation and visualization produced by The MathWorks, Inc. This will take a little learning, but will pay off in the long run, since programming numerical methods is much easier (and quicker) in Matlab than in virtually any other language.

Matlab tutorial by Dr. Mayank Aggarwal

Also available is a MATLAB tutorial written by Peter Blossey: (.pdf)

Matlab tutorial by Gerald Recktenwald

Another standard one is Kermit Sigmon's Matlab Primer: (.html)

http://web.cecs.pdx.edu/~gerry/MATLAB/programming/basics.html
Here is another Matlab resource available on the net:

In addition, there are many textbooks about Matlab. One of them is

MATLAB guide
By: Desmond J. Higham & Nicholas J. Higham. QA297 .H5217 2000

Handouts

Numerical Methods For Mathematics John H Mathews Pdf Merge Download

in format
  • MATLABPrimer by Kermit Sigmon, U. Florida (39 pp.) or pdf
Numerical Methods For Mathematics John H Mathews Pdf Merge
  • Cancellation of Significant Digits Example pdf
  • Comparison of Rootfinding Methods (Bisection, False Position, Newton, and Secant) by J. Tropp pdf
  • Newton's method pdf
  • Numerically determining the order of convergence of the iterative rootfinding scheme pdf
  • Elementary Matrices pdf
  • LU factorization of a tridiagonal matrix pdf
  • Example of LU decompotion with partial pivoting pdf
  • Analysis of the SOR iteration matrix pdf
  • Romberg Integration and Simpson's 1/3 error term explanation pdf
  • Numerical Integration and Richardson's Extrapolation pdf
  • Polynomial Interpolation pdf
  • Chebyshev and uniform points pdf
  • Extra notes on Chebyshev interpolation pdf
  • Lecture notes on spline interpolation pdf
  • Global error for Euler's method pdf
John
  • Lecture notes on Multistep Methods pdf
  • Derivation of Adams-Bashforth 2nd order method pdf
  • Linear Shooting Method; Nonlinear Shooting Method

Numerical Methods For Mathematics John H Mathews Pdf Merge Free


Lecture Notes

I will be posting lecture notes before each class.
Lecture 1 07/01/2020

Schedule, Homework and Exams

Follow links in the table below to obtain a copy of the homework in Adobe Acrobat(.pdf) format.
There are six homework assignments that are due approximately once a week.

Numerical Methods For Mathematics John H Mathews Pdf Merge Pdf

There are assigned and suggested problems. Assigned problems will be graded. Students are responsible for material covered in suggested problems as well. It is strongly advised to solve the suggested problems as well since the material covered in both assigned and suggested problems may be on the tests. Please scan your assignments using, for example, phone apps like Files or Genius and include m.files of your programs. There is a 2 business day grace period. After that late homework will not be accepted. Homework assignments should be uploaded to Canvas.

Homework SetsDue Date
hw1
Friday, July 10

Friday, July 17

Friday, July 24

Friday, July 31

Friday, August 7

Friday, August 14

Midterm:
Tuesday, July 28, 2020. Students may use a one-sided page of their notes to the exam. It is recommended to complete the first three homework assignments before the midterm is taken.
MathematicsMidterm crib sheet will be included in the test. midterm crib sheet

Final: Friday, August 21, 2020. Students may use a two-sided page of their notes during the exam.
Final exam crib sheet will be included in the test. final exam crib sheet

Numerical Methods For Mathematics John H Mathews Pdf Merger

Grading

40%- 6 Homework assignments
25%- Midterm Exam
35%- Final Exam