MT140: Basic Mathematics |
Subject profile |
Dr Peter Adams.
You can contact me, or obtain information:
- in person: Priestley building (Mathematics), Room 67-524. My set
contact times are Monday morning, 8am until 11am, but am happy to see you
at other times.
- via phone: 3365 3276 (my office), or 3365 3277 (departmental secretaries)
- via email: pa@maths.uq.edu.au
- anonymously via email, through the MT140 question
forum
- from my web Homepage, http://www.maths.uq.edu.au/~pa
- on the MT140 noticeboard, which is in the hallway on level 5
of the mathematics building (opposite my door).
Please do not hesitate to contact me if you have any difficulties or
questions. It is best to resolve any issues promptly, and not leave things
until they become insurmountable. I also welcome suggested improvements, or
even nice comments if you like what we are doing.
Classes, credit and contact times
|
MT140 is worth 12 credit points.
The University is moving towards flexibility in teaching subjects. Thus there
will be some variation in class contact during some of the weeks. Please
read this carefully.
There are nominally about five contact hours scheduled for each week. There
are two separate streams for MT140 in first semester. One stream is at the
St Lucia campus, and the other is at the Ipswich campus. When reading the
timetable information below, make sure you choose the correct campus!
St Lucia campus
- three lectures per week. You should attend ALL of the following times each week.
- Tuesday 10-11 am, Room 63-348
- Wednesday 10-11 am, Room 63-360
- Thursday 10-11 am, Room 63-348
- one tutorial per week. In the first lecture, you will asked to sign up
for ONE of the following times. You should attend the tutorial at that time
each week:
- Tuesday 12-1 pm, Room 69-207
- Tuesday 12-1 pm, Room 5-213
- Tuesday 1-2 pm, Room 32-225
- Wednesday 11-12 noon, Room 9-816
- Wednesday 12-1 pm, Room 83-605
- Wednesday 1-2 pm, Room 1-E210
- Thursday 12-1 pm, Room 83-605
- Thursday 12-1 pm, Room 35-115
- Thursday 1-2 pm, Room 8-388
- one general class contact session. These will not be held every week, and
you will be advised when they are on. You should ensure that you are available
to attend ONE of the following timeslots, when required:
- Tuesday 11-12 noon, Room 42-115
- Thursday 11-12 noon, Room 1-E308
Ipswich campus
- three lectures per week. You should attend ALL of the following times each
week.
- Wednesday 3-5 pm, Room 6214-202
- Friday 10-11 am, Room 6214-202
- one tutorial per week. In the first lecture, you will asked to sign up
for ONE of the following times. You should attend the tutorial at that time
each week:
- Friday 9-10 am, Room 6212-112
- Friday 11-12 noon, Room 6214-202
- one general class contact session. These will not be held every week, and
you will be advised when they are on. You should ensure that you are available
to attend the following time slot, when required:
- Friday 12-1 pm, Room 6212-117
There are NO tutorials in the first week!
Assessment will consist of a mid-semester exam, weekly assignments and
a larger exam at the end of semester.
- The mid-semester test will be held on the morning of Saturday 22nd April,
during semester, and will probably be of about an hour and a half duration.
These details will be
finalised later. It will contribute at most 30% towards final assessment.
- Each week there will be a small assignment, to be handed in at tutorials.
There will be 12 such assignments; together they will contribute at most
10% towards final assessment.
- The exam at the end of semester will be of two hours duration, and will
contribute at least 60% towards final assessment.
All items of assessment are compulsory. However, your final grade will be
calculated as the maximum mark out of the three components, subject to the
maximums and minimums described above. What this means will be explained
clearly in lectures: if you don't understand, ask!
Let
- E = your mark on the final exam, out of 100
- M = your mark on the mid-semester exam, out of 30
- A = your mark on the assignments out of 10
- F = your final mark, out of 100, used for awarding grades
Then the formula we use is
F = max(E, 0.9E+A, 0.7E+M, 0.6E+M+A)
The text book for this subject is called Introductory Mathematics,
with authors Petocz, Petocz and Wood.
You can complete MT140 without buying the textbook, however it is a useful
reference tool and you may purchase it if you wish: it is likely to be of help
to you in various sections of the subject, and gives you an additional source
of information.
It is especially useful for the second half of the subject, and contains
many examples involving calculus. It is designed specifically for
university students who have no more than a grade 10 background in
Mathematics.
There are three copies available in the PSE library; call number is
QA11.P4 1992.
If you wish to read more books on mathematics, then the following ones are
recommended for reference. They are all available in the
PSE library (Engineering Building).
- William G. Ambrose, College Algebra. QA154.2.A4 1976.
- Enticknap and Morgan, Elementary Mathematics. QA39.2.E56 1980.
- Mueller and Albrecht, Contemp.\ Algebra and Trig. QA152.2.M83 1975.
- Moore, Precalculus Mathematics. QA39.27.M66 1973.
- Salas and Salas, Precalculus. QA39.2.S23 1975.
- Weinstein, Precalculus Mathematics, a fundamental approach. QA39.2.W43 1973.
- Ord and Sor, Business Mathematics: An Introduction (Chs. 1--8). HF5691.O7
1988.
- Faddeyev and Sominskii, Elementary algebra. QA152.F1513 1965.
- Willerding and Hoffman, College algebra and trigonometry. QA154.W59 1971.
- Dupree and Harmon, Modern College Algebra. QA154.D93 1965.
- Mizrahi and Sullivan, Calculus with applications to business and life sciences.
- Dobson and Stokoe, Self-Paced Introductory Mathematics. QA37.2.D63 1979
You are welcome to use a calculator, if you like. However, they are not
essential. If you can do basic arithmetic, then you shouldn't need one.
In the questions, we'll tell you any funny numbers you need. (For example,
we might say "Note that sin(30)=0.5".) Certainly, you will not be allowed to
take fancy programmable calculators into exams.
MT140 is on the web! If you have an internet connection, then you can use your
favourite web browser to go to the address
http://www.maths.uq.edu.au/~pa/mt140
This address is the homepage for MT140, and includes such useful things as
- a link to the subject profile
- a link to the MT140 forum
- links which will be updated each week with copies of handouts,
questions and answers, and useful administrative details
The MT140 forum is a place of information and enlightenment, in which
you can ask questions, and (hopefully) be given answers. You type your question,
and it will be sent anonymously (via email) to the lecturer, who will post the
question and answer to a list. You can check the list of questions and
answers for useful information.
The web page can be accessed from anywhere on the internet, so you can use
your own connection, or one at the University. In particular, the Mathematics
Department has two computer laboratories (Rooms 5.19 and 4.20) from which
you can access these pages. Just walk in when there is not a class there, and
run either Netscape or Internet Explorer to start surfing.
It is not essential for you to use the web: all information from there will
also be given in lectures. But if you miss something, or want to ask an
anonymous question, or just love browsing the web, then this is a useful
place to visit.
The University expects that most students will need to spend about
12 hours per week on this subject, including class contact.
A few people may need to take a bit longer, while some
might manage with a little less time each week; it will depend upon your
mathematical background. You are welcome to attend additional tutorials
if you feel it will help.
In practice, some (small) part of the lecture times will probably be devoted
to working problems together and clearing up common basic difficulties.
The tutorial times will be devoted to working through the exercise
sheets individually, going over extra examples jointly,
and receiving both individual and group help with problems.
The problem sheets will parallel the lecture work.
Answers to exercises from the text book appear in the back of the book.
Answers to assignment questions and proble sheets will be available with your
marked assignments, when these are returned to you.
Copies of the overhead projector slides are also provided as notes.
Extra examples will be worked at various times in lectures,
and these you may need to copy down.
The following is intended as a rough guide only. The time spent on each section
will vary a bit, and we may add or delete a few sections as semester progresses.
- Number lines, exponents, basic algebra and simple inequalities etc.
- Some set theory.
- Introduction to graphs and cartesian coordinates.
- Summation (sigma) notation; use of subscripts.
- Functions and functional notation; straight line graphs.
- Simultaneous linear equations in 2 variables.
- Quadratic equations; solutions and graph; graph of a circle.
- Composition of functions; graph sketching.
- Introduction to probability, simple counting; mean and standard deviation.
- Matrices. Basic matrix algebra: addition and multiplication.
- Trigonometric functions: sin, cos tan and their graphs; radians.
- Simple limits; rules and examples.
- Differentiation: powers, sin, cos, tan and so on
- Differentiation rules (product, quotient, substitution).
- Max and min of simple functions; second derivatives.
- Antiderivatives; area under a curve.
- Integration; simple examples.
- Exponential and log functions; their graphs and derivatives.
The following extra information may be of use to you.
For students with a disability or special needs
Any student with a disability who may require alternative academic
arrangements in the course is encouraged to seek advice at the commencement
of the semester from a Disability Adviser at Student Support Services.
If you have any special needs or requirements with which I can help, please
do not hesitate to contact me.
Purpose or Goal
The aim of this subject is to allow any student to reach a
suitable standard of mathematics (roughly equivalent to Senior Mathematics B)
in order to enable them to tackle
a first level Mathematics subject such as MT150 and then MT151,
as well as MT161 and/or MS150. It will also enable students to cope
with a reasonable level of mathematics in their other (non mathematics
coded) subjects.
Assumed background
The assumed prior knowledge of MT140 is really only basic arithmetic;
no knowledge of algebra is assumed, although for those knowing none at all,
a significant amount of work early in the subject will be required.
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