Computational Methods for
Engineering
Instructor: Dr. Nguyen Quang Hung
Week 5:
Programming with MATLAB
(continue)
Problem 3.2
An amount of money P is invested in an account where
interest is compound
Computational Methods for
Engineering
Instructor: Dr. Nguyen Quang Hung
Week 3:
Problem Solving
Problem Solving
1.8. The amount of a uniformly distributed radioactive
contaminant contained in a closed
Computational Methods for
Engineering
Instructor: Dr. Nguyen Quang Hung
Week 13:
Matrix Inverse and Condition
Calculating Matrix Inverse with LU
Factorization
LU factorization:
qCalculating the first
Computational Methods for
Engineering
Instructor: Dr. Nguyen Quang Hung
Week 13:
LU Factorization
Overview of LU Factorization
[A]cfw_x ! cfw_b = 0
vAfter the first step of Gauss elimination:
! [U]cfw
Computational Methods for
Engineering
Instructor: Dr. Nguyen Quang Hung
Week 12:
Linear Algebraic Equations
and Matrices
Matrix Algebra
Matrix Notation:
A matrix consists of a rectangular array of ele
Computational Methods for
Engineering
Instructor: Dr. Nguyen Quang Hung
Week 2:
Mathematical Modeling
Numerical Methods
Problem Solving
A Simple Mathematical Model
A mathematical model can be broadly
ComputationalMethods
forEngineering
Instructor: Dr. Nguyen
Week 13: Hung
Quang
Matrix Inverse and Condition
CalculatingMatrixInversewithLU
Factorization
LU factorization:
q
Calculating the first colum
Computational Methods for
Engineering
Instructor: Dr. Nguyen Quang Hung
Week 12:
Gauss Elimination
Solving Small Numbers of Equations
The Graphical Method
!
For three simultaneous equations:
Each equ
Computational Methods for
Engineering
Instructor: Dr. Nguyen Quang Hung
Week 10:
Roots: Open Methods
Review of Last lecture
Bracketing Methods
Incremental Search
Bisection
False Position (Linear Inter
Computational Methods for
Engineering
Instructor: Dr. Nguyen Quang Hung
Week 7:
Roundoff and Truncation errors
(continue)
Problem 4.4
For computers, the machine epsilon can also be thought of
as the s
Computational Methods for
Engineering
Instructor: Dr. Nguyen Quang Hung
Week 6:
Roundoff and Truncation errors
Accuracy and Precision
qAccuracy: refers to how closely a computed or
measured value agre
Computational Methods for
Engineering
Instructor: Dr. Nguyen Quang Hung
Week 4:
Programming with MATLAB
Problem: Calculate the Integral
"
#
0
3
4
x
!
dx =
= 6.4939
x
e !1
15
Solution
clc; clear all;
s
Computational Methods for
Engineering
Instructor: Dr. Nguyen Quang Hung
Week 1:
Course Overview
Introduction to the Course
What are computational (numerical)
methods ?
q Numerical methods are techniqu
I HC TN TO
Nhng yu cu v chng trnh ging dy v bng cp
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Full name: Le Minh Tan Trung
Summarize Film: Slumdog Millionaire
Jamal Malik 18 years old take part in the game is who wants to be a millionaire.
He just only appears on the television which is progra
Full name: Le Minh Tan Trung
1/ Page 242
He acquires a lot of prize.
Apparently, she is very beautiful.
It shows her capacity.
We can base on context to predict sentence mean.
I can take evidence
Full name: Le Minh Tan Trung
Homework:
Write correct sentences for page 242
Chapter 6 starred words page 131 #3, Page 134 #2; page 136 #1
Work on compare / contrast paragraph
1. Page 242 chapter 6.
Th
Full name: Le Minh Tan Trung.
Homework
Page 38-43 , # 1,2,3 Interraction2
Page 241 stared work
Page 30 - #7 complete the Supporting detail
Page 30
Main ideas
Curitiba created a Green Exchange to help