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MAT1500 Engineering Mathematics 1

Semester 1, 2012 External Toowoomba
Units : 1
Faculty or Section : Faculty of Sciences
School or Department : Maths and Computing
Version produced : 30 December 2013

Contents on this page


Examiner: Yury Stepanyants
Moderator: Ron Sharma

Other requisites

Current skills at the level of Queensland Senior Secondary School Studies Mathematics B or equivalent. This course is equivalent to MAT1100. Students cannot enrol in MAT1500 if they have successfully completed MAT1100.


Students entering tertiary studies in engineering and surveying require mathematical skills in a wide range of areas, and experience in applying these skills to problem solving in engineering contexts. Assuming that students have basic competencies, this course further explores and develops skills understanding of a range of mathematical concepts that are needed in tertiary programs in engineering and surveying. To establish strong foundations for engineering theory, computation and modelling, applications are explored within engineering contexts.


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


On successful completion of this course the student will be able to:

  1. demonstrate a sound understanding of mathematical concepts that are essential for tertiary studies in engineering and surveying;
  2. demonstrate proficiency in the mathematical skills and competencies covered in this course;
  3. interpret and solve a range of authentic problems involving mathematical concepts relevant to this course;
  4. effectively communicate the mathematical concepts, reasoning and technical skills contained in this course.


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 second order matrices, matrix form of linear sets of algebraic equations; matrix solution of sets of algebraic equations, applications to practical problems. 10.00
6. Calculus: the concept of gradient and differentiation, differentiation of simple functions, optimization; and application of calculus to engineering and science problems. 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). (

Please contact us for alternative purchase options from USQ Bookshop. (

  • 2011, Study Book 2011, Course MAT1500 Engineering Mathematics 1, USQ Distance Education Centre, Toowoomba.
  • Scientific calculator (any calculator having options for calculation of simple elementary functions: sinx, cosx, ex, lnx, ?x, etc. The typical model example is the calculator CASIO fx-10AU).

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.
  • James, Glyn 2008, Modern engineering mathematics, 4th edn, Prentice Hall, Harlow.
  • Texts that are titled College Algebra, Pre-Calculus and Calculus will be helpful.

Student workload requirements

Activity Hours
Assessments 30.00
Private Study 132.00

Assessment details

Description Marks out of Wtg (%) Due Date Notes
ASSIGNMENT 1 20 5 12 Mar 2012
ASSIGNMENT 2 100 15 16 Apr 2012
ASSIGNMENT 3 100 15 28 May 2012
CMA's 100 0 08 Jun 2012
2HR REST EXAMINATION 100 65 End S1 (see note 1)

  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 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. 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:
    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 independently of marks attained in each Assignment/Exam.

  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); non-graphical calculators; one A4 sheet of paper, written or typed on one or both sides with no more than 60 formulae altogether (the formulae must be enumerated) 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

Assessment notes

  1. Students will require access to e-mail and web access to UConnect for this course.

  2. The due date for an assignment is the date by which a student must despatch the assignment to the USQ. The onus is on the student to provide proof of the despatch date, if requested by the Examiner. Students must retain a copy of each item submitted for assessment. This must be produced within 24 hours if required by the Examiner. The Examiner may grant an extension of the due date of an assignment in extenuating circumstances.

  3. The Faculty will normally only accept assessments that have been written, typed or printed on paper-based media. The Faculty will NOT accept submission of assignments by facsimile.

  4. The referencing system to be used in this course is supported by the Department. Information on this referencing system and advice on how to use it can be found in the course materials.