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ENM1600 Engineering Mathematics

Semester 1, 2021 On-campus Toowoomba
Short Description: Engineering Mathematics
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 : 18 April 2021


Examiner: Trevor Langlands

Other requisites

Queensland Senior Secondary School Studies Mathematics B, Mathematical Methods (or equivalent) or ENM1500 Introductory Engineering Mathematics. This course is equivalent to MAT1102 and MAT1502. Students cannot enrol in ENM1600 if they have successfully completed MAT1102 or MAT1502. Please note this course includes similar topics taught in MAT1500 but in ENM1600 they are taught at a higher level.

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 ENM1600.

Note the pretest (or self test) can be accessed through the link Mathematics Selftest for Engineering Mathematics (ENM1600) ( ) 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 mathematical skills in a wide range of areas and experience in applying these skills to problem solving in engineering contexts. In particular, the techniques of calculus, matrices, and vectors are fundamental for modelling and analysis in a wide range of applications. This course further develops the skills and understanding of the mathematical concepts which underpin the investigative tools used in engineering and surveying. This course provides opportunity for students to extend their mastery of these topics and explore applications in engineering and surveying.


This course builds on the Queensland Mathematics B content and further develops algebra, function, trigonometric, exponential, logarithm and graphing competencies, and introduces matrices, vectors and calculus. Emphasis is placed on developing strong skills in these areas within an engineering context and on exploring and applying these skills to a range of engineering and surveying applications.


On completion of this course students will be able to:

  1. examine and apply mathematical techniques and skills to solve problems essential to further study in engineering and surveying
  2. interpret and solve a range of authentic engineering problems involving mathematical concepts relevant to this course
  3. effectively communicate mathematical concepts and arguments using appropriate notation
  4. use computational aids for graphing, matrix manipulation, concept development and problem solving in algebra and calculus within engineering and surveying contexts.


Description Weighting(%)
1. Number calculation, scientific notation and rounding. 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. 10.00
2. Trigonometric functions and identities, inverse trigonometric functions, and their applications to engineering contexts. 20.00
3. Vectors algebra and cross product, application to describe lines and planes in space. 25.00
4. Matrix algebra; inverse and determinants; application to solving linear equations in engineering. 20.00
5. Calculus: the concept of gradient and differentiation, differentiation of functions, optimization; higher derivatives and engineering applications; definite and indefinite integrals; integration techniques and application of calculus to engineering and surveying problems. 25.00

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. (

Glyn James 2019, Modern Engineering Mathematics, 6th edn, Prentice Hall, Harlow.
Study Book (current year), Course ENM1600 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.
Cole, JA 2005, Student solutions manual for Stewart's single variable calculus: concepts & contexts 3, 3rd edn, Brooks/Cole, Calif.
James, G 2009, Student's Solutions Manual for James, Modern Engineering Mathematics, 4th edn, Pearson (Prentice Hall), Harlow.
Larson, R & Falvo, D 2016, Elementary linear algebra, 8th edn, Houghton Mifflin Harcourt, Boston.
Larson, R 2017, Student solutions guide for Elementary linear algebra, 8th edn, Houghton Mifflin Harcourt, Boston.
Stewart, J 2010, Calculus: concepts & contexts, 4th edn.
(3rd metric international edition.)
Matlab (any recent version). External students can use Scilab instead. It is a MATLAB clone freely available on the web.

Student workload expectations

Activity Hours
Assessments 42.00
Lectures 13.00
Online Lectures 26.00
Private Study 65.00
Tutorials 26.00

Assessment details

Description Marks out of Wtg (%) Due Date Notes
Quiz 1 50 5 09 Mar 2021
Assignment 1 100 10 23 Mar 2021
Assignment 2 100 10 27 Apr 2021
Quiz 2 50 5 11 May 2021
Assignment 3 100 10 25 May 2021
Open Exam - Online 600 60 End S1 (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 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 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:
    Due to COVID-19 the requirements for S1 2021 are:
    To be assured of receiving a passing grade a student must achieve at least 50% of the total weighted marks available for the course.

    Requirements after S1 2021:
    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:
    Due to COVID-19 the requirements for S1 2021 are:
    An Open Examination is one in which candidates may have access to any printed or written material and a calculator during the examination.

    Requirements after S1 2021:
    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:
    Normally Deferred and Supplementary Examinations are held in the next Examination period. In S1 2021 selected courses will pilot an early Deferred and Supplementary Examination period held within 30 business days of results release. The list of courses involved can be found at

  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 .

  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.

Date printed 18 April 2021