NOTES FOR NUMERICAL METHODS
Numerical Analysis is the branch of mathematics that provides tools and methods for solving mathematical problems in numerical form. In numerical analysis we
Numerical Analysis II – Lecture Notes
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Math 541 - Numerical Analysis - Lecture Notes – Calculus and
Math 541 - Numerical Analysis. Lecture Notes – Calculus and Taylor's Theorem. Joseph M. Mahaffy. 〈jmahaffy@mail.sdsu.edu〉. Department of Mathematics and
NOTES FOR NUMERICAL METHODS
NOTES FOR. NUMERICAL. METHODS. MUHAMMAD USMAN HAMID Numerical Analysis is the branch of mathematics that provides tools and methods for solving.
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Numerical Analysis II – Lecture Notes
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Numerical Analysis 1 Lecture notes - University of Connecticut
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SBaskar - IIT Bombay
This is an introductory course of numerical analysis which comprises the design analysis and implementation of constructive methods and algorithms for the solution of mathematical problems Numerical analysis has vast applications both in mathematics and in modern science and technology
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SBaskar - IIT Bombay
Numerical analysis is a branch of Mathematics that deals with devising e?cient methods for obtaining numerical solutions to di?cult Mathematical problems Most of the Mathematical problems that arise in science and engineering are very hard and sometime impossible to solve exactly
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12 mar 2018 · In this course we will learn how to do many common calculations quickly and accurately In particular: 1 Floating-point arithmetic (How do we
What is numerical analysis?
- Introduction Numerical analysis is a branch of Mathematics that deals with devising e?cient methods for obtaining numerical solutions to di?cult Mathematical problems. Most of the Mathematical problems that arise in science and engineering are very hard and sometime impossible to solve exactly.
What are the three parts of numerical analysis?
- Numerical analysis include three parts. The ?rst part of the subject is about the development of a method to a problem. The second part deals with the analysis of the method, which includes the error analysis and the e?ciency analysis.
Why do scientists use numerical approximation?
- Due to the immense development in the computational technology, numerical approximation has become more popular and a modern tool for scientists and engineers. As a result many scienti?c softwares are developed (for instance, Matlab, Mathematica, Maple etc.) to handle more di?cult problems in an e?cient and easy way.
What is the main application of numerical differentiation?
- Trueenough, the main application of numerical di?erentiation is not to computederivatives, but to solve di?erential equations, both ordinary and partial. Now, we will not fuss much about selecting nodes; we usual use simple,equidistant spacing (no ’Gaussian’ di?erentiating).
The Professor
The Class - Overview
The Class...
Introduction
Application
Numerical Analysis and Computing
Lecture Notes #01 - First Meeting
Joe Mahaffy,
?mahaffy@math.sdsu.edu?Department of Mathematics
Dynamical Systems Group
Computational Sciences Research Center
San Diego State University
San Diego, CA 92182-7720
http://www-rohan.sdsu.edu/≂jmahaffySpring 2010
Joe Mahaffy,?mahaffy@math.sdsu.edu?Lecture Notes #01 - First Meeting - (1/26)The Professor
The Class - Overview
The Class...
Introduction
Application
Outline
1The Professor
Contact Information, Office Hours
2The Class - Overview
Literature & Syllabus
Grading
CSU Employee Furloughs
Expectations and Procedures
3The Class...
Resources
Formal Prerequisites
4Introduction
The What? Why? and How?
5Application
Analysis
Joe Mahaffy,?mahaffy@math.sdsu.edu?Lecture Notes #01 - First Meeting - (2/26)The Professor
The Class - Overview
The Class...
Introduction
Application
Contact Information, Office Hours
Contact Information
Office GMCS-593
Emailmahaffy@math.sdsu.edu
Web http://www-rohan.sdsu.edu/≂jmahaffy
Phone (619)594-3743
Office Hours MW: 1 - 2, 3 - 4),
and by appointment Joe Mahaffy,?mahaffy@math.sdsu.edu?Lecture Notes #01 - First Meeting - (3/26)The Professor
The Class - Overview
The Class...
Introduction
Application
Literature & Syllabus
Grading
CSU Employee Furloughs
Expectations and Procedures
Basic Information: The Book
Title:
"Numerical Analysis,"8th Edition
Authors:
Richard L. Burden &
J. Douglas Faires
Publisher:
Thomson - Brooks/Cole
ISBN:0-534-39200-8
Joe Mahaffy,?mahaffy@math.sdsu.edu?Lecture Notes #01 - First Meeting - (4/26)The Professor
The Class - Overview
The Class...
Introduction
Application
Literature & Syllabus
Grading
CSU Employee Furloughs
Expectations and Procedures
Basic Information: Syllabus
Chapter Title
1Mathematical Preliminaries
2Solutions of Equations in One Variable
3Interpolation and Polynomial Approximation
4Numerical Differentiation and Integration
6Direct Methods for Solving Linear Systems
8Approximation Theory
7Iterative Techniques in Matrix Algebra
Math 542: Numerical Solutions of Differential Equations5 Initial-Value Problems for ODEs11 Boundary Value Problems for ODEs
Math 543: Numerical Matrix Analysis7 Iterative Techniques in Matrix Algebra9 Approximating Eigenvalues
Math 693a: Advanced Numerical Analysis (Numerical Optimization)10 Numerical Solution of Nonlinear Systems of Equations
Math 693b: Advanced Numerical Analysis (Numerics for PDEs)12 Numerical Solution of PDEs
Joe Mahaffy,?mahaffy@math.sdsu.edu?Lecture Notes #01 - First Meeting - (5/26)The Professor
The Class - Overview
The Class...
Introduction
Application
Literature & Syllabus
Grading
CSU Employee Furloughs
Expectations and Procedures
Basic Information: Grading
Approximate Grading
Homework?40%
Midterm+30%
Final×30%
?Both theoretical, and implementation (programming) - Matlabwill be the primary programming language. However, you canprogram in other languages if desired, but the instructor maynot be able to help.
The midterm is likely to be part take-home and part in-class. Scheduled time: Wednesday, May 19, 15:30am-17:30pm. (Again likely to be part take-home and part in-class.) Joe Mahaffy,?mahaffy@math.sdsu.edu?Lecture Notes #01 - First Meeting - (6/26)The Professor
The Class - Overview
The Class...
Introduction
Application
Literature & Syllabus
Grading
CSU Employee Furloughs
Expectations and Procedures
CSU Employee Furloughs - AY 2009-2010
Due to extraordinary budget cuts to the CSU, student fees have increased 32%,many sections have been cut and faculty will be required to takenine (9) unpaid furlough dayseach semester. This is the result of a dramatic cut to the CSU by the state after years of under-funding the system. Joe Mahaffy,?mahaffy@math.sdsu.edu?Lecture Notes #01 - First Meeting - (7/26)The Professor
The Class - Overview
The Class...
Introduction
Application
Literature & Syllabus
Grading
CSU Employee Furloughs
Expectations and Procedures
Expectations and Procedures, I
Most class attendance is OPTIONAL - Homework and
announcements will be posted on the class web page. If/when you attend class: Joe Mahaffy,?mahaffy@math.sdsu.edu?Lecture Notes #01 - First Meeting - (8/26)The Professor
The Class - Overview
The Class...
Introduction
Application
Literature & Syllabus
Grading
CSU Employee Furloughs
Expectations and Procedures
Expectations and Procedures, I
Most class attendance is OPTIONAL - Homework and
announcements will be posted on the class web page. If/when you attend class:Please be on time.
Joe Mahaffy,?mahaffy@math.sdsu.edu?Lecture Notes #01 - First Meeting - (8/26)The Professor
The Class - Overview
The Class...
Introduction
Application
Literature & Syllabus
Grading
CSU Employee Furloughs
Expectations and Procedures
Expectations and Procedures, I
Most class attendance is OPTIONAL - Homework and
announcements will be posted on the class web page. If/when you attend class:Please be on time.
Please pay attention.
Joe Mahaffy,?mahaffy@math.sdsu.edu?Lecture Notes #01 - First Meeting - (8/26)The Professor
The Class - Overview
The Class...
Introduction
Application
Literature & Syllabus
Grading
CSU Employee Furloughs
Expectations and Procedures
Expectations and Procedures, I
Most class attendance is OPTIONAL - Homework and
announcements will be posted on the class web page. If/when you attend class:Please be on time.
Please pay attention.
Please turn off mobile phones.
Joe Mahaffy,?mahaffy@math.sdsu.edu?Lecture Notes #01 - First Meeting - (8/26)The Professor
The Class - Overview
The Class...
Introduction
Application
Literature & Syllabus
Grading
CSU Employee Furloughs
Expectations and Procedures
Expectations and Procedures, I
Most class attendance is OPTIONAL - Homework and
announcements will be posted on the class web page. If/when you attend class:Please be on time.
Please pay attention.
Please turn off mobile phones.
Please be courteous to other students and the instructor. Joe Mahaffy,?mahaffy@math.sdsu.edu?Lecture Notes #01 - First Meeting - (8/26)The Professor
The Class - Overview
The Class...
Introduction
Application
Literature & Syllabus
Grading
CSU Employee Furloughs
Expectations and Procedures
Expectations and Procedures, I
Most class attendance is OPTIONAL - Homework and
announcements will be posted on the class web page. If/when you attend class:Please be on time.
Please pay attention.
Please turn off mobile phones.
Please be courteous to other students and the instructor. Abide by university statutes, and all applicable local, state, and federal laws. Joe Mahaffy,?mahaffy@math.sdsu.edu?Lecture Notes #01 - First Meeting - (8/26)The Professor
The Class - Overview
The Class...
Introduction
Application
Literature & Syllabus
Grading
CSU Employee Furloughs
Expectations and Procedures
Expectations and Procedures, II
Please, turn in assignments on time. (The instructor reserves the right not to accept late assignments.) Joe Mahaffy,?mahaffy@math.sdsu.edu?Lecture Notes #01 - First Meeting - (9/26)The Professor
The Class - Overview
The Class...
Introduction
Application
Literature & Syllabus
Grading
CSU Employee Furloughs
Expectations and Procedures
Expectations and Procedures, II
Please, turn in assignments on time. (The instructor reserves the right not to accept late assignments.) The instructor will make special arrangements for students with documented learning disabilities and willtryto make accommodations for other unforeseen circumstances,e.g. illness, personal/family crises, etc. in a way that is fair toall students enrolled in the class.Please contact the instructor
EARLY regarding special circumstances.
Joe Mahaffy,?mahaffy@math.sdsu.edu?Lecture Notes #01 - First Meeting - (9/26)The Professor
The Class - Overview
The Class...
Introduction
Application
Literature & Syllabus
Grading
CSU Employee Furloughs
Expectations and Procedures
Expectations and Procedures, II
Please, turn in assignments on time. (The instructor reserves the right not to accept late assignments.) The instructor will make special arrangements for students with documented learning disabilities and willtryto make accommodations for other unforeseen circumstances,e.g. illness, personal/family crises, etc. in a way that is fair toall students enrolled in the class.Please contact the instructor
EARLY regarding special circumstances.
Students are expectedand encouragedto ask questions in class! Joe Mahaffy,?mahaffy@math.sdsu.edu?Lecture Notes #01 - First Meeting - (9/26)The Professor
The Class - Overview
The Class...
Introduction
Application
Literature & Syllabus
Grading
CSU Employee Furloughs
Expectations and Procedures
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