AMS 326: Numerical Analysis
Fall 2011
Homework 1
Assignment Date:
Collection Date:
Grade:
Thursday (09/08/2011)
Thursday (09/22/2011) 5PM
See Individual Problems
Problem 1.1 (2.5 Points) State the Bisection Method for finding roots and its
convergence rat
AMS 326: Numerical Analysis
Fall 2012
Homework 3
Assignment Date:
Collection Date:
Grade:
Tuesday (09/18/2012)
Tuesday (10/16/2012) 5PM
See Individual Problems
Note: Do any two of the following three problems for full score
for this project. Doing all thr
AMS 326: Numerical Analysis
Fall 2012
Test 2
Tuesday (10/30/2012) 4:005:20
Postponed Due to Hurricane Sandy:
Tuesday (11/13/2012) 4:005:20
10 Points for doing any
one of the two problems correctly
When writing programs, you may use any language, e.g., C
AMS 326: Numerical Analysis
Fall 2012
Quiz1
Tuesday (10/09/2012) 4:005:20
10 Points for doing any
one of the two problems correctly
When writing programs, you may use any language, e.g., C,
C+, FORTRAN, Java, MATLAB, Python, etc.
1. Please write a progr
AMS326 Numerical Analysis
Lecture Plan
Last Update: Wednesday, September 05, 2012
This schedule will be followed as closely as possible but Ill adjust
the lecture pace, contents, and material ordering based on class
responses in terms of understanding
AMS326 Numerical Analysis Y. Deng
Lecture 06
Basic Statistics
Last Update: Tuesday, March 21, 2017
1. Statistics: Definitions
Its a subject of data collection, organization, and interpretation.
Statistics, when referring to the scientific disci
AMS326 Numerical Analysis Y. Deng
Lecture 04 Data Analysis
Most relevant topic to big data
Last update: Monday, February 20, 2017
Key problems in data analysis:
Interpolation
Curve fitting
Least square fitting
Interpolation
Construc
AMS326 Numerical Analysis Y. Deng
Lecture 01
Finding Roots
Last update: Tuesday, January 17, 2017
Important Basis for Numerical Analysis:
Basis 1:
Taylor Series: The most important mathematical formula for the course.
= +
& ()
& ()
+
1!
2!

+
& ()
3
AMS326 Numerical Analysis Y. Deng
Lecture 08
Fourier Transforms and Fast Fourier Transforms
Source: Most pictures are taken from Wikipedia
Last Update: Thursday, March 31, 2016
1. Fourier Transforms
In 1805, Gauss first discovered Fourier series, or Fouri
AMS326 Numerical Analysis Y. Deng
Lecture 03:
Linear Algebra
Source: Most pictures are taken from Wikipedia
Last update: Tuesday, January 31, 2017
Key objects in linear algebra:
Scalar
Vector
Matrix
Key Terminologies in linear algebra:
Degree of freedo
How to program using C+.
Yipeng Li
1
Simple Examples
1.1
Print hello world!
1
p r i n t f ( h e l l o world ! \ n ) ;
1.2
Print integers from 0 to 99.
Use for statements.
Format:
for(part1; condition2; part3)cfw_
body;
1
2
3
f o r ( i = 0 ; i < 1 0 0 ; i
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Try out KRAV MAGA, JUDO, CARDIO BOX FIT or AFRO BODY SHAPING lessons in the MFJ Sports gym.
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With KRAV MAGA, an israeli se
AMS326 Numerical Analysis Y. Deng
Lecture 02
Numerical Calculus
and extra material on several distributions
Last update: Tuesday, January 31, 2017
Numerical Differentiation: describing algorithms for estimating the derivative of a
mathematica
Semi colon means end of sentence
After if statement dont use semicolon
%5.2f with 2 decimal places
Assignment is right assocated. A=b=c=d=0 goes from right to left.
You cannot do + on numbers
a = A is false
Only one MAIN method can be called. Other sub me
Sentence.charAt(6) gives you character at that given location > starts with 0.
toUpperCase > changes to upper case
substring (0,7)> a portion of the string > Gives you value up to 6.
Immutable > cannot change them once created.
Strings concatenation
AMS326 Numerical Analysis Y. Deng
Homework 2
Assignment Date:
Friday (02/17/2017)
Collection Date:
Friday (03/03/2017) 11:59PM by email
Grade:
Total 100 points
Email Address:
[email protected]
Solve Problem 2.3 and any one of th
AMS326 Numerical Analysis Y. Deng
Lecture 06
Basic Statistics
Last Update: Tuesday, March 21, 2017
1. Statistics: Definitions
Its a subject of data collection, organization, and interpretation.
Statistics, when referring to the scientific disci
AMS326 Numerical Analysis Y. Deng
Lecture 05 Basic ODEs
Last update: Thursday, M arch 2, 2017
Many excellent books for ODEs and my little book might be useful for looking up certain basic
concepts:
http:/www.amazon.com/LecturesProblemsSolutionsDifferen
AMS326 Numerical Analysis Y. Deng
Lecture 07
Basic Optimization and Monte Carlo Methods
Note: Many statements are copied from Wiki with appreciation of respective sources.
Last Update: Thursday, March 31, 2016
Optimization, aka, mathematical programming
G
20% discount when purchasing a three (or more) month seasonal pass for training in the center of Prague
Try out KRAV MAGA, JUDO, CARDIO BOX FIT or AFRO BODY SHAPING lessons in the MFJ Sports gym.
First session is always free!
With KRAV MAGA, an Israeli se
Sommelier with Hotel Panon
Do you only differentiate wine as white or red, sweet or sour, alternatively I like it or I don't like it?
Discover the mysteries of viticulture in the Czech Republic, get familiar with its history, the many types of wine, and l
20% discount on lodging with breakfast in STANDARD PLUS and GREEN LINE rooms
Come spend a pleasant weekend or holiday in a hotel right in the centre of the historical part of Liberec.
The hotel's location has many benefits; it's only a short way away from
AMS326 Numerical Analysis Y. Deng
Homework 3
Assignment Date:
Collection Date:
Grade:
Email Address:
Friday (03/16/2017)
Friday (03/31/2017) 11:59PM by email
Total 100 points
[email protected]
Solve any one of the Two Problems.
AMS326 Numerical Analysis Y. Deng
Short Test 2: 03/09/2017 4:00pm5:20pm
Notes:
1.
2.
3.
4.
5.
6.
You will earn 15 Points for doing any one of the two problems correctly online;
You need to compose a selfcontained report for each problem, as you did for