Course specification
The current and official versions of the course specifications are available on the web at http://www.usq.edu.au/course/specification/current.
Please consult the web for updates that may occur during the year.

# MAT1000 Mathematics Fundamentals

 Semester 1, 2012 On-campus Toowoomba Units : 1 Faculty or Section : Faculty of Sciences School or Department : Maths and Computing Version produced : 22 May 2013

## Staffing

Examiner: Tim Passmore
Moderator: Harry Butler

## Other requisites

Current skills at the level of Queensland Senior Secondary School Studies Maths A or equivalent assumed. This course is substantially equivalent to ENG1500 and MAT1001. Students cannot enrol in MAT1000 if they have successfully completed, or are currently enrolled in, either ENG1500 or MAT1001.

## Rationale

Students entering tertiary studies in many fields require quantitative literacy and expertise in mathematics and problem solving. Building a sound basis for tertiary studies, this course develops fundamental mathematical competencies, and skills in reading, writing and communicating mathematics effectively.

## Synopsis

This course develops fundamental mathematical concepts for many fields of study. Topics included are: basic arithmetic, measurement, basic algebra, functions and graphing, exponential, logarithmic and trigonometric functions. Skills are developed in reading, writing and communicating mathematical and quantitative information effectively in a range of settings.

## Objectives

On successful completion of this course students will be able to:

1. demonstrate a sound understanding of a number of mathematical topics that are essential for the fundamentals of tertiary studies in many fields;
2. interpret given information and solve a range of applied problems involving mathematical concepts relevant to this course;
3. effectively communicate the mathematical concepts and arguments contained in this course.

## Topics

Description Weighting(%)
1. Introduction - mathematical studies, writing and communication. 2.00
2. Arithmetic - real numbers, order of operations, calculations, fractions, scientific notation, metric system, index laws, absolute value, inequalities 10.00
3. Algebra - algebraic indices and fractions, solving linear and quadratic equations, factorisation, simultaneous equations 14.00
4. Counting Techniques – permutations, combinations, the Binomial Theorem, Sets and Partitions 10.00
5. Geometry – Euclidean geometry, congruence, Pythagoras' Theorem, polygons and circles 10.00
6. Relations and Functions - analytical geometry, definition of functions and relations, graphs of straight lines, parabolas, graphical solution of equations 14.00
7. Exponential and Logarithmic Functions - exponential and logarithmic functions and graphs, solution of exponential and logarithmic equations 10.00
8. Trigonometry - trigonometric ratios and basic identities, solution of triangles, trigonometric functions and graphs, solution of trigonometric equations 10.00
9. Applications of these topics to problem solving 10.00
10. Mathematical reading, writing, reasoning and communicating in a range of settings, and interpretation and critique of quantitative information 10.00

## Text and materials required to be purchased or accessed

ALL textbooks and materials available to be purchased can be sourced from USQ's Online Bookshop (unless otherwise stated). (https://bookshop.usq.edu.au/bookweb/subject.cgi?year=2012&sem=01&subject1=MAT1000)

• 2011, Study Book 2011, Course MAT1000 Mathematics Fundamentals & Communication, USQ Distance Education Centre, Toowoomba.
• Scientific calculator (non-graphical and non-programmable).

## Reference materials

Reference materials are materials that, if accessed by students, may improve their knowledge and understanding of the material in the course and enrich their learning experience.
• Any high school mathematics text will be helpful. Any College Algebra or Pre-Calculus text will be helpful.

Activity Hours
Assessments 30.00
Lectures 26.00
Private Study 80.00
Tutorials 26.00

## Assessment details

Description Marks out of Wtg (%) Due Date Notes
ASSIGNMENT 1 20 5 12 Mar 2012
ASSIGNMENT 2 50 15 16 Apr 2012
ASSIGNMENT 3 50 15 28 May 2012
2 HOUR REST EXAMINATION 100 65 End S1 (see note 1)

NOTES
1. Examination dates will be available during the Semester. Students must refer to Examination timetable when published.

## Important assessment information

1. Attendance requirements:
It is the students' responsibility to attend and participate appropriately in all activities (such as lectures, tutorials, workshops, laboratories and practical work) scheduled for them, and to study all material provided to them or required to be accessed by them to maximise their chance of meeting the objectives of the course and to be informed of course-related activities and administration.

2. Requirements for students to complete each assessment item satisfactorily:
To complete each of the assignments satisfactorily, students must obtain at least 50% of the marks available for the assignment.

3. Penalties for late submission of required work:
If students submit assignments after the due date without (prior) approval of the examiner then a penalty of 5% of the total marks gained by the student for the assignment may apply for each working day late up to ten working days at which time a mark of zero may be recorded. No assignments will be accepted after model answers have been posted.

4. Requirements for student to be awarded a passing grade in the course:
To be assured of receiving a passing grade a student must achieve at least 50% of the total weighted marks available for the course.

5. Method used to combine assessment results to attain final grade:
The final grades for students will be assigned on the basis of the aggregate of the weighted marks obtained for each of the summative assessment items in the course.

6. Examination information:
A Restricted Examination is an examination where only those materials specified in the examination paper are permitted during the examination. The only materials that candidates may use in the restricted examination for this course are: writing materials (non-electronic and free from material which could give the student an unfair advantage in the examination); scientific calculators (non-graphical and non-programmable); one (1) A4 sheet, written or typed on one or both sides with any material the student wishes to have. Students whose first language is not English, may, take an appropriate unmarked non-electronic translation dictionary (but not technical dictionary) into the examination. Dictionaries with any handwritten notes will not be permitted. Translation dictionaries will be subject to perusal and may be removed from the candidate's possession until appropriate disciplinary action is completed if found to contain material that could give the candidate an unfair advantage.

7. Examination period when Deferred/Supplementary examinations will be held:
Any Deferred or Supplementary examinations for this course will be held during the next examination period.

8. University Student Policies:
Students should read the USQ policies: Definitions, Assessment and Student Academic Misconduct to avoid actions which might contravene University policies and practices. These policies can be found at http://policy.usq.edu.au/portal/custom/search/category/usq_document_policy_type/Student.1.html.