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ENM1600 Engineering Mathematics

Semester 1, 2013 External Toowoomba
Units : 1
Faculty or Section : Faculty of Sciences
School or Department : Maths and Computing

Contents on this page


Examiner: Yury Stepanyants
Moderator: Lyn Brodie

Other requisites

Queensland Senior Secondary School Studies Mathematics B (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.

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 ( 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. demonstrate a sound understanding of a number of mathematical topics 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 engineering problems involving mathematical concepts relevant to this course;
  4. effectively communicate the mathematical concepts, reasoning and technical skills contained in this course using engineering standards, symbols and notation;
  5. Use computational aids for graphing, matrix manipulation, concept development and problem solving in algebra and calculus within an engineering and surveying context.


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 2008, Modern Engineering Mathematics, 4th edn, Prentice Hall, Harlow.
  • Study Book 2013, Course ENM1600 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.
  • Cole, JA 2005, Student solutions manual for Stewart's single variable calculus: concepts & contexts 3, 3rd edn, Brooks/Cole, Calif.
  • Larson, R & Falvo, D 2009, Elementary linear algebra, 6th edn, Houghton Mifflin Harcourt, Boston.
  • Larson, R 2009, Student solutions guide for Elementary linear algebra, 6th edn, Houghton Mifflin Harcourt, Boston.
  • Stewart, J 2006, Calculus: concepts & contexts, 3rd 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 requirements

Activity Hours
Assessments 30.00
Private Study 138.00

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:
    The only materials that students may use in the RESTRICTED examination for this course are: non-programmable and non-graphical calculator, one A4 sheet of paper containing basic formulae prepared by examiner and available to students on the Study Desk during the semester. 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 ENM1600 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.