INTRODUCTION
MATLAB
MATLAB is a software package which was originally developed for numerical
computation with matrices ( MATLAB stands for MATrix LABoratory) but it can
handle symbolic manipulation and has built-in functions for a wide variety of
mathema

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Matlab 100 Level
Chapter 1.
1.1
Evaluating Algebraic Expressions
Example 1.1.
To evaluate y = x
2x + 3
at x=0.5, type
e + ln x
x
x=-0.5; y=x-(2*x+3)/(exp(x)+log(abs(x)
Note that only round brackets are permitted in an algebraic expression. Also log stan

1502/160.133
Albany
Internal
CP5
MASSEY UNIVERSITY
ALBANY CAMPUS
EXAMINATION FOR
160.133 PROCESSES IN MATHEMATICS
Semester 2 - 2015
Time allowed: THREE (3) hours.
There are TEN (10) questions.
Answer ALL questions.
Each question is worth 10 marks.
Total m

Massey University
Homework 5
160.133
Instructions: Write neatly. Show all of the steps in an organized way.
Part 1. Do the lines [x, y, z] = [1, 4, 2] + t[3, 1, 5] and [x, y, z] = [6, 12, 4] + s[2, 3, 7]
intersect?
If they intersect, find the intersection

Massey University
160.133
Test 1
11 August 2015
Duration: 75 minutes
Instructions:
1. Answer all of the questions.
2. Write neatly and use notation correctly.
3. Show all of the steps.
Question 1. [2 + 2 + 3 + 3 + 2 + 2 + 3 + 1 = 18 marks]
Let u = [2, 0,

Massey University
Homework 8
160.133
Rc
f (x)dx + b f (x)dx.
Ra
Rb
(b) How is the value of b f (x)dx related to a f (x)dx?
1. (a) Simplify:
dy
for:
dx
Z x
(a) y =
Rb
a
2. Find
2
Z
et
dt.
10 + sin t
x2
et
dt.
10 + sin t
2
et
dt.
10 + sin t
(b) y =
2
Z
(c)

Massey University
160.133
Test 1
15 April 2016
Duration: 75 minutes
Instructions:
1. Answer all of the questions.
2. Write neatly and use notation correctly.
3. Show all of the steps.
Question 1. [2 + 2 + 3 + 3 + 2 + 2 + 3 + 1 = 18 marks]
Let u = [4, 5, 1

Massey University
160.133
Test 2
6 October 2015
Answer all questions. Write neatly and use notation correctly. Show all of the steps.
Time allowed: 90 minutes.
Question 1. [8 + 1 + 1 + 2 + 2 + 4 = 18 marks]
(a) Find the eigenvalues and eigenvectors of the

160.133 Quiz 3
Week 5
Show all working.
Name:
Student ID:
Due: Friday. 21 April 2016, 10 am, hand in at the start of class.
Instructions: Write neatly. Show all of the steps in an organized way.
"
1. Find the eigenvalues and eigenvectors of the matrix A =

Massey University
Quiz 7 Homework Assignment
160.133
Due: Friday 20 May 2016, 10 am, hand in at the start of class.
Instructions: Write neatly. Show all of the steps in an organized way.
You are encouraged to work in groups of two or three. Please submit

Massey University
Homework 1
160.133
Instructions: Write neatly. Show all of the steps in an organised way.
There are solutions to most of the odd-numbered questions at the back
of the textbook. If you need help ask in the tutorial next week. The
first qu

Massey University
Homework 9
160.133
Instructions: Write neatly. Show all of the steps in an organized way.
Stewarts Calculus book:
Section 6.1: Questions 18, 19.
Section 6.2: Questions 12, 13. Follow all of the instructions, carefully.
Section 6.3: Quest

Massey University
Homework 6
160.133
Instructions: Write neatly. Show all of the steps in an organized way.
Part 1: Pooles Linear Algebra book:
1
1
Section 4.4: Questions 1, 2, 22, 23. Hint for 23: eigenvectors are 1 , 0 ,
1
1
1
4 .
1
Section 4.6: Ques

Massey University
Homework 2
160.133
Instructions: Write neatly. Show all of the steps in an organised way.
Pooles Linear Algebra book:
Section 1.3: Questions 37, 38, 39, 40
Section 2.2: Questions 1, 2, 3, 4, 5, 6, 7, 8. Also, what is the rank of each mat

Massey University
Homework 10
160.133
Instructions: Write neatly. Show all of the steps in an organized way.
1. (a) Find the exact value of
Rb
a
x3 dx.
(b) Use Simpsons rule with n = 2 to estimate the value of
Rb
a
x3 dx.
(c) Comment on the results of Par