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ENM1500 Introductory Engineering Mathematics

Semester 2, 2021 On-campus Toowoomba
Short Description: Introductory Engineering Mathe
Units : 1
Faculty or Section : Faculty of Health, Engineering and Sciences
School or Department : School of Sciences
Student contribution band : Band 1
ASCED code : 010101 - Mathematics
Grading basis : Graded
Version produced : 16 June 2021


Examiner: Nawin Raj

Other requisites

Queensland Senior Secondary School Studies Maths A, or General Mathematics 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 MAT1100, MAT1102, ENM1600 or ENG1500.

Note the pretest (or self test) can be accessed through the link Mathematics Selftest for Engineering Mathematics (ENM1500) ( ) 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. Develop and apply recognised processes to examine mathematical problems essential to further study 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 mathematical concepts and express mathematical solutions to problems in a variety of forms.


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 & Michelle Boué 2019, Basic Technical Mathematics with Calculus: SI Version, 11th edn, Pearson.
Study Book (current year), Course ENM1500 Introductory Engineering Mathematics, USQ Distance Education Centre, Toowoomba.
(Available on course StudyDesk.)
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 expectations

Activity Hours
Assessments 42.00
Lectures 13.00
Online Lectures 13.00
Private Study 78.00
Tutorials 26.00

Assessment details

Description Marks out of Wtg (%) Due Date Notes
QUIZ 1 50 5 27 Jul 2021
ASSIGNMENT 1 150 15 17 Aug 2021
QUIZ 2 50 5 21 Sep 2021
ASSIGNMENT 2 150 15 05 Oct 2021
OPEN EXAMINATION - ONLINE 600 60 End S2 (see note 1)

  1. This will be an online exam. Students will be provided further instruction regarding the exam by their course examiner via StudyDesk. The examination date will be available via UConnect when the Alternate Assessment Schedule has been released.

Important assessment information

  1. Attendance requirements:
    It is the students' responsibility to participate appropriately in all activities, 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 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:
    Students should refer to the Assessment Procedure (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 (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 weighted aggregate of the marks obtained for each of the summative assessment items in the course.

  6. Examination information:
    An Open Examination is one in which candidates may have access to any printed or written material and a calculator during the examination.

  7. Examination period when Deferred/Supplementary examinations will be held:
    The details regarding deferred/supplementary examinations will be communicated at a later date.

  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. 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 .

Date printed 16 June 2021