VERSION 1
THE UNIVERSITY OF AUCKLAND
MATHS 108
2012 SEMESTER 1 TEST
MATHEMATICS
General Mathematics 1
(Time allowed: 60 MINUTES)
NOTE:
This test will begin with 5 minutes of reading time.
You may not
Lecture 1 a few things to try!
1. Describe the set of all real numbers whose square is 1.
2. Write down all of the sets that are subsets of cfw_1, 2, 3.
3. Describe the elements of the following se
Department of Mathematics
MATHS 108
Study Guide for Semester Two 2016
This is an important document containing a lot of information about the course. Please refer to
this study guide before emailing y
Markers Comments Question 12
Note: this is NOT a model answer!
This was a fairly challenging question but a perfect answer was not expected in order to get
full marks. In fact there were many acceptab
Department of Mathematics
MATHS 108
Tutorial 6
1. Write down the augmented matrix for the following system of linear equations and solve the system.
3x1 7x2 + 4x3 = 10
x1 2x2 + 3x3 = 1
x1 + x2 + 2x3 =
Maths 108
The University of Auckland
Assignment 1
Due: Wednesday, August 17th, before 4pm
Semester 2, 2016
Hand your completed assignment in to the correct box in the Student Resource Centre (G38 Buil
Department of Mathematics
Tutorial 8
MATHS 108
1 3 5
1. Find the determinant of A = 2 1 1 . Is A invertible?
3 4 6
2. Use the cross product to find the general equation of the plane through the points
VERSION 1
THE UNIVERSITY OF AUCKLAND
MATHS 108
2014 SEMESTER 2 TEST
MATHEMATICS
General Mathematics 1
(Time allowed: 60 MINUTES)
NOTE:
This test will begin with 5 minutes of reading time.
You may not
Section D: Intellectual Property
What is intellectual Property?-Creations of the mind
E.G. Ideas, inventions (patents), books, music, poetry, films (copyright) and signs
(trademark)
What are the two m
Section C: law in the Operation of Business
What is the definition of a contract?-A set of promises that the law will enforce
Do all contracts have to be in writing?-No. Contracts can be either fully
Department of Mathematics
Tutorial 4
MATHS 108
1. Let u = (1, 1, 0, 2, 1) and v = (2, 8, 6, 0, 6).
(a) Find the angle between the vectors u and v.
(b) Find constants a and b such that au + bv = (1, 2,
Maths 108
The University of Auckland
Assignment 2
Due: Wednesday, September 28th, before 4pm
Semester 2, 2016
Hand your completed assignment in to the correct box in the Student Resource Centre (G38,
Tutorial Three
COMLAW 101
Law in a business environment
Second Semester 2016
Week A beginning Monday 12th September
Week B beginning Monday 19th September
Tutorial 3
Part A
1.
Brenda, a student, notic
Section D: Trusts
What are 'Legal' interests?-Property rights recognised by common law
Between Legal interests and Equitable interests, which of the two is superior?-Legal Interests
What is a "Trust"?
Section D: Concepts of Property and Ownership, Trusts
What are the/some of the four Laws of Property?-* Legal relationship between
persons and things
E.G. Your rights to your phones
* "Property" right
Department of Mathematics
Tutorial 10
MATHS 108
d
|x|
1. (a) Let f (x) = sin(|x|). Use the Chain Rule and the fact that
(|x|) =
to find the
dx
x
derivative of f , for x 6= 0.
(b) Rewrite f (x) as a pi
THE UNIVERSITY OF AUCKLAND
BUSINESS SCHOOL
DEPARTMENT OF COMMERCIAL LAW
COMLAW 101
LAW IN A BUSINESS ENVIRONMENT
2016 Second Semester
FINAL EXAMINATION INFORMATION
1. Format of the Examination Paper
T
Lecture 2 a few things to try!
1. Graph* the following functions.
a(x) = 1/x
b(x) = -x2
c(x) = ln(-x)
d(x) = e1-x
e(x) = (x2+2)/(x2-2)
*Best would be to be able to sketch them by hand
2. Ident
Section C: Fiduciary obligations
What is a Fiduciary Obligation about?-Where fiduciaries serve the interests of
others
i.e. Selflessness rather than selfishness
Which law creates Fiduciary Obligations
VERSION 1
MATHS 108
THE UNIVERSITY OF AUCKLAND
SEMESTER ONE, 2015
Campus: City
MATHEMATICS
General Mathematics 1
(Time allowed: TWO hours)
NOTE:
This exam contains 40 questions on pages 3 to 10. Atte
VERSION 1
MATHS 108
THE UNIVERSITY OF AUCKLAND
SUMMER, 2012
Campus: City
MATHEMATICS
General Mathematics 1
(Time allowed: TWO hours)
NOTE:
This exam contains 40 questions. Attempt all questions.
Wri
Department of Mathematics
MATHS 108
Tutorial 3
1. A student defines the function f by: f (x) =
2x + 1 if x 1
.
3x2 1 if x < 1
She thinks she can make f continuous at x = 1 by changing the coefficient