The University of Sydney
School of Mathematics and Statistics
Tutorial 10 (Week 11)
MATH2061: Vector Calculus
Semester 1
Preparatory question (attempt before the tutorial)
1. Find F in each of the following:
(a)
F = 2i + 3j + 4k
F = x2 yz i + xy 2 z j + x
The University of Sydney
School of Mathematics & Statistics
MATH1002 Quiz 1 sample - 2015
The quiz will last 40 minutes and will be 15 questions in length.
Questions will be a mixture of multiple choice and short answer.
This sample quiz is 25 questions i
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Exercises for Week 5 (beginning 30 March)
2015
Preparatory exercises should be attempted before coming to the tutorial. Questions labelled with
an asterisk are suitable for students aiming for a
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Exercises for Week 4 (beginning 23 March)
2015
Preparatory exercises should be attempted before coming to the tutorial. Questions labelled with
an asterisk are suitable for students aiming for a
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Exercises for Week 2 (beginning 9 March)
2015
There are thirteen teaching weeks. There will be one set of exercises each week, except for Week
1 and Week 6. This is the rst set of exercises. Prep
CHEAT SHEET
MATH1002
Scalar projection v in direction of w
Linear Algebra
vw =
University of Sydney
1
vw =
Length of a vector
|v| =
p
x2 + y 2 + z 2
cos =
v w = vx wx + vy wy + vz wz = |v|w|cos
vw
|w|2
i
v w = vx
wx
k
vz
wz
Basic Properties of Cross Produ
THE UNIVERSITY OF SYDNEY
MATH1002 Linear Algebra
Semester 1
Assignment 2
2016
This assignment is due by 9am Wednesday 27th April, via Turnitin. A scanned copy of
your answers must be uploaded in the Learning Management System (Blackboard). It should
inclu
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Tutorial Exercises for Week 1 (beginning 6 March)
2017
There are thirteen teaching weeks. There will be one set of preparatory exercises and one set of tutorial exercises
each week, except for We
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Tutorial Exercises for Week 3 (beginning 20 March)
Questions labelled with an asterisk are suitable for students aiming for a credit or higher.
Tutorial Exercises:
4.
Given that P = (8, 4, 1) , Q
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Exercises for Week 7 (beginning 20 April)
2015
Preparatory exercises should be attempted before coming to the tutorial. Questions labelled with
an asterisk are suitable for students aiming for a
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Exercises for Week 3 (beginning 16 March)
2015
Preparatory exercises ideally should be attempted before coming to the tutorial. A suggestion
is given for exercises to be completed during and afte
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Exercises for Week 8 (beginning 27 April)
2015
Preparatory exercises should be attempted before coming to the tutorial. Questions labelled with
an asterisk are suitable for students aiming for a
THE UNIVERSITY OF SYDNEY
Semester 1, 2015
Information Sheet for MATH1002 Linear Algebra
Websites:
It is important that you check both the MATH1002 website and the Junior Mathematics
website regularly. Both sites may be accessed through Blackboard, or dire
A First Course in Linear Algebra
by David Easdown
Hints and Short Solutions to Selected Exercises
Chapter 0 Introduction
0.1.
0.2.
1
(2x + 4) x = x + 2 x = 2 .
2
The y-intercept is 2 and the x-intercept is 3. The slope of the line regarding the x-axis
as
MATH1001: Mathematical Methods 1 2014
Tutorial 1: Systems of Linear Equations
Summary of what you have learnt
Last week in lectures, you were shown how to systematically solve systems of linear
equations with several variables using augmented matrices and
[REMOVED] SID: [REMOVED]
Professional Engineering
Essay Report
A n ew f orm o f e ngineering e ducation i s n eeded, o ne t hat c overs a w ide r ange
of t echnical a nd n on-technical i ssues, i ncluding w ater p rovision
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Exercises for Week 10 (beginning 11 May)
2015
Preparatory exercises should be attempted before coming to the tutorial. Questions labelled with
an asterisk are suitable for students aiming for a c
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Exercises for Week 12 (beginning 25 May)
2015
Preparatory exercises should be attempted before coming to the tutorial. Questions labelled with
an asterisk are suitable for students aiming for a c
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Exercises for Week 11 (beginning 18 May)
2015
Questions labelled with an asterisk are suitable for students aiming for a credit or higher.
Important Ideas and Useful Facts:
(i) The determinant of
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Exercises for Week 13 (beginning 1 June)
2015
Preparatory exercises should be attempted before coming to the tutorial. Questions labelled with
an asterisk are suitable for students aiming for a c
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Exercises for Week 9 (beginning 4 May)
2015
Preparatory exercises should be attempted before coming to the tutorial. Questions labelled with
an asterisk are suitable for students aiming for a cre
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Preparatory Exercises for Week 5 (beginning 3 April)
2017
Preparatory exercises should be attempted before coming to the tutorial.
Important Ideas and Useful Facts:
(i) A line in space is determi
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Tutorial Exercises for Week 4 (beginning 27 March)
2017
Questions labelled with an asterisk are suitable for students aiming for a credit or higher.
Tutorial Exercises:
4.
Find two unit vectors p
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Preparatory Exercises for Week 1 (beginning 29 February)
2016
There are thirteen teaching weeks. There will be a set of preparatory exercises and a set of
tutorial exercises each week, except for
THE UNIVERSITY OF SYDNEY
MATH1002 Linear Algebra
Semester 1
Assignment 1
2017
This assignment is due by 11.59pm Monday 27th March, via Turnitin. A scanned copy of
your answers must be upload in the Learning Management System (Blackboard) at
https:/elearni
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Tutorial Exercises for Week 2 (beginning 13 March)
2017
Questions labelled with an asterisk are suitable for students aiming for a credit or higher.
Tutorial Exercises:
4.
Given points A(2, 3) an
The University of Sydney
MATH1002 Linear Algebra
Semester 1
Preparatory Exercises for Week 1 (beginning 6 March)
2017
There are thirteen teaching weeks. There will be a set of preparatory exercises and a set of
tutorial exercises each week except for Week