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ENM1500 Introductory Engineering Mathematics

Semester 1, 2013 External Toowoomba
Units : 1
Faculty or Section : Faculty of Sciences
School or Department : Maths and Computing
Version produced : 24 April 2014

Contents on this page


Examiner: Dmitry Strunin
Moderator: Lyn Brodie

Other requisites

Queensland Senior Secondary School Studies Maths A or equivalent assumed. Students are advised to undertake an online pretest on assumed knowledge prior commencing the course. This pretest will advise students the areas which need to be revised to ensure satisfactory progression in the course. The results of the pretest may include recommendations for: further work (if required), or an alternative study plan, such as the Tertiary Preparation Program (Mathematics Level B course), to be completed prior to undertaking ENM1500. This course replaces ENG1500. Students cannot enrol in ENM1500 if they have successfully completed, or are currently enrolled in MAT1000, MAT1001 or ENG1500.

Note the pretest (or self test) can be accessed through the link and clicking on “Self test”.
For further information about the pretest please contact engineering and surveying administration via the email or phone +61 7 4631 2525.


Students entering tertiary studies in engineering and surveying require expertise in mathematics and problem solving. This course will provide students with basic mathematical competencies for tertiary studies in engineering and surveying.


This course integrates mathematical concepts to provide students with an introduction to the mathematical fundamentals required for engineering and surveying. Topics included are: basic algebra, functions and graphing, exponential, logarithmic and trigonometric functions, geometry, vectors in two dimensional space, matrices and an introduction to differentiation and integration.


On completion of this course students will be able to:

  1. demonstrate a sound understanding of a number of mathematical topics that are essential for tertiary studies in engineering and surveying;
  2. interpret and solve a range of authentic simple engineering problems involving mathematical concepts relevant to this course;
  3. effectively communicate the mathematical concepts and arguments contained in this course.


Description Weighting(%)
1. Algebra - algebraic indices and fractions, solving linear and quadratic equations, factorisation, simultaneous equations 10.00
2. Relations and Functions - analytical geometry, definition of functions and relations, graphs of straight lines, parabolas, graphical solution of equations 5.00
3. Trigonometry - trigonometric ratios and basic identities, solution of triangles, trigonometric functions and graphs, solution of trigonometric equations. 15.00
4. Vectors – Cartesian coordinates (in 2D) , scalars and vectors, addition of vectors and scalar product 15.00
5. Matrix algebra – definition and notation, matrix form of linear sets of algebraic equations; basic operations, matrix multiplication, the inverse matrix, matrix solution of sets of algebraic equations (limited to the manual solution of small systems (2x2) and exposure to software solutions (e.g. EXCEL) for solving 3x3 or larger systems). 15.00
6. Geometry – areas and volumes of simple shapes, application of formula to solve area and volumes of complex shapes 10.00
7. Calculus – Introduction to differentiation and integration 20.00
8. Exponential and Logarithmic Functions - exponential and logarithmic functions and graphs, solution of exponential and logarithmic equations 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). (

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

  • Allyn J. Washington 2010, Basic Technical Mathematics with Calculus: SI Version, 9th edn, Pearson.
  • Study Book 2013, Course ENM1500 Introductory Engineering Mathematics, USQ Distance Education Centre, Toowoomba.
  • Scientific calculator (non-graphical and non-programmable) having options for calculation of simple elementary functions: sinx, cosx, ex, lnx, etc. The typical model example is the calculator CASIO fx-100AU.

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 College Algebra or Pre-Calculus text will be helpful.
  • Any high school mathematics text will be helpful.

Student workload requirements

Activity Hours
Assessments 30.00
Private Study 125.00

Assessment details

Description Marks out of Wtg (%) Due Date Notes
CMA 1 50 5 11 Mar 2013
ASSIGNMENT 1 100 10 25 Mar 2013
ASSIGNMENT 2 100 10 29 Apr 2013
CMA 2 50 5 13 May 2013
ASSIGNMENT 3 100 10 27 May 2013
2HR RESTRICTED EXAM 600 60 End S1 (see note 1)

  1. USQ will make the examination dates available during the semester. Students must refer to the official USQ examination timetable when it is published.

Important assessment information

  1. Attendance requirements:
    It is students' responsibility to attend and participate appropriately in all activities (such as on-line tutorials) scheduled for them, and to study all the course materials, including those posted on the course website, in order to maximise their chance of meeting the course objectives 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 assessment items satisfactorily, students must obtain at least 50% of the marks available for each assessment item.

  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 weighted aggregate of the 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); 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. All assessments for ENM1500 are submitted electronically through the Assignment Drop Box located on the USQ Study Desk, unless directed otherwise by the examiner of the course. Emailed and printed assessments will not be accepted. The due date for an electronically submitted assessment is the date by which a student must electronically submit the assignment. Assessment items, both team and individual must be submitted 11.55pm on the due date using USQ time (as displayed on the clock on the course home page; that is, Australian Eastern Standard Time).

  3. Students must retain a copy of each item submitted for assessment. If requested, students will be required to provide a copy of assignments submitted for assessment purposes. Such copies should be despatched to USQ within 24 hours of receipt of a request being made.

  4. The Examiner may grant an extension of the due date of an assignment in extenuating circumstances.

  5. The Faculty will NOT normally accept submission of assignments by facsimile or email.

  6. Students who do not have regular access to internet services or who are otherwise disadvantaged by these regulations may be given special consideration. They should contact the examiner of the course to negotiate such special arrangements.

  7. The referencing system to be used in this course is Harvard AGPS. Information on this referencing system and advice on how to use it can be found in the course materials and on the library home page.