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.
Content

# MAT1100 Foundation Mathematics

 Semester 2, 2019 On-campus Toowoomba Short Description: Foundation Mathematics Units : 1 Faculty or Section : Faculty of Health, Engineering and Sciences School or Department : School of Agric, Comp and Environ Sciences Student contribution band : Band 2 ASCED code : 010101 - Mathematics Grading basis : Graded

## Staffing

Examiner: Harry Butler

## Other requisites

Pre-requisite: Current skills at the level of Queensland Senior Secondary School Studies Mathematics B or equivalent. Students without this level should take MAT1000 prior to doing this course. Students contemplating enrolment in MAT1100 who are not familiar with the content of at least Queensland Year 11 Maths B or its equivalent (e.g. TPP7182 Mathematics Tertiary Preparation 2) should contact the examiner before enrolling. In your e-mail please state your course of study and your mathematics background.
This course is equivalent to ENM1500. Students cannot enrol in MAT1100 if they have successfully completed or are currently enrolled in ENM1500, MAT2100, MAT1102, ENM1600 or ENM2600

## Rationale

Students entering tertiary studies in science and other disciplines require mathematical skills in a wide range of areas, and experience in applying these skills to problem solving in a range of contexts. Assuming that students have basic competencies, this course further explores and develops skills relating to a range of mathematical concepts that are needed in tertiary programs in science. It establishes strong mathematical foundations for computation and modelling. Mathematical applications are explored within a range of contexts.

## Synopsis

Assuming current skills at the level of Queensland Senior Secondary School Studies Mathematics B, this course strengthens and further develops algebra, functions, trigonometric, exponential, logarithmic and graphing competencies, and introduces matrices, vectors and calculus. Emphasis is placed on developing strong foundation mathematical skills in these areas for use in tertiary studies, and on exploring and applying these skills to a range of contexts.

## Objectives

On completion of this course students will be able to:

1. Develop and apply recognised processes to solve mathematical problems essential for tertiary studies in science, engineering, surveying and business;
2. interpret and solve a range of authentic problems involving mathematical concepts relevant to this course;
3. effectively communicate the mathematical concepts and arguments contained in this course using appropriate mathematical notation.

## Topics

Description Weighting(%)
1. Mathematical writing, communication and study. 10.00
2. Number calculation, scientific notation and rounding. Basic geometry. Algebra, including factorizing, solving equations and inequalities. Function concepts, linear, quadratic, polynomial and rational functions, exponential and logarithmic functions and their graphs. Inverses, compositions and asymptotes, and applications to engineering contexts. 30.00
3. Trigonometric functions and identities, inverse trigonometric functions, and their applications to engineering contexts; 20.00
4. Vectors, scalars and scalar product, basic concepts and applications 10.00
5. Matrices, matrix multiplication, the inverse and determinant of a 2x2 matrix, and applications. 10.00
6. Calculus: the concept of gradient and differentiation, differentiation of simple functions, optimization; and applications to engineering and science. 20.00

## 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://omnia.usq.edu.au/textbooks/?year=2019&sem=02&subject1=MAT1100)

Study Book (current year), Course MAT1100 Foundation Mathematics.
(Available on the StudyDesk in Electronic Form or can be printed on request by the USQ Bookshop.)
A scientific calculator.

## 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.
Allyn J. Washington and Michelle Boué 2015, Basic Technical Mathematics with Calculus (SI Version), 10th edn, Pearson.
Texts that are titled College Algebra, Pre-Calculus and Calculus will be helpful.

Activity Hours
Assessments 42.00
Lectures 26.00
Private Study 91.00
Tutorials 13.00

## Assessment details

Description Marks out of Wtg (%) Due Date Notes
ASSIGNMENT 1 42 5 29 Jul 2019
ASSIGNMENT 2 100 20 02 Sep 2019
ASSIGNMENT 3 100 15 14 Oct 2019
2 HOUR RESTRICTED EXAMINATION 100 60 End S2 (see note 1)

Notes
1. Examination dates will be available during the Semester. Please refer to Examination timetable when published.

## Important assessment information

1. Attendance requirements:
It is the students' responsibility to participate appropriately in all 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. To complete the examination satisfactorily, students must obtain at least 50% of the marks available for the examination.

3. Penalties for late submission of required work:
Students should refer to the Assessment Procedure http://policy.usq.edu.au/documents.php?id=14749PL (point 4.2.4).

4. Requirements for student to be awarded a passing grade in the course:
To be assured of receiving a passing grade a student must obtain at least 50% of the total weighted marks available for the course (i.e. the Primary Hurdle), and have satisfied the Secondary Hurdle (Supervised), i.e. the end of semester examination by achieving at least 40% of the weighted marks available for that assessment item.

Supplementary assessment may be offered where a student has undertaken all of the required summative assessment items and has passed the Primary Hurdle but failed to satisfy the Secondary Hurdle (Supervised), or has satisfied the Secondary Hurdle (Supervised) but failed to achieve a passing Final Grade by 5% or less of the total weighted Marks.

To be awarded a passing grade for a supplementary assessment item (if applicable), a student must achieve at least 50% of the available marks for the supplementary assessment item as per the Assessment Procedure http://policy.usq.edu.au/documents/14749PL (point 4.4.2).

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:
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); calculators which cannot hold textual information (i.e. no graphics or programmable calculators); One 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.

## Assessment notes

1. Exam paper presentation: All exam papers should be presented in accurate and clear writing by blue or black pen. Pencil writing is not acceptable. Assignments can be presented using any word processor such as Word or Latex, or can be neatly written by blue or black pen (but not by pencil).

## Other requirements

1. Computer, e-mail and Internet access:
Students are required to have access to a personal computer, e-mail capabilities and Internet access to UConnect. Current details of computer requirements can be found at http://www.usq.edu.au/current-students/support/computing/hardware .

2. Students can expect that questions in assessment items in this course may draw upon knowledge and skills that they can reasonably be expected to have acquired before enrolling in this course. This includes knowledge contained in pre-requisite courses and appropriate communication, information literacy, analytical, critical thinking, problem solving or numeracy skills. Students who do not possess such knowledge and skills should not expect the same grades as those students who do possess them.