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Engineering Mathematics 1

Unit Code: HMS111




Duration

Contact Hours

Campus

Prerequisite

Corequisite

1 Semester

60 hours

Hawthorn, Sarawak

VCE Mathematical Methods or equivalent

Nil

Credit Points: 12.5 Credit Points

Related Course/s:

A unit of study in the Bachelor of Engineering (Biomedical Engineering), Bachelor of Engineering (Civil Engineering), Bachelor of Engineering (Civil Engineering) / Bachelor of Commerce, Bachelor of Engineering (Electrical and Electronic Engineering), Bachelor of Engineering (Electrical and Electronic Engineering) / Bachelor of Commerce, Bachelor of Engineering (Electronics and Computer Systems), Bachelor of Engineering (Electronics and Computer Systems)/ Bachelor of Commerce, Bachelor of Engineering (Electronics and Computer Systems)/ Bachelor of Science (Computer Science and Software Engineering), Bachelor of Engineering (Mechanical Engineering), Bachelor of Engineering (Mechanical Engineering) / Bachelor of Commerce, Bachelor of Engineering (Robotics and Mechatronics), Bachelor of Engineering (Robotics and Mechatronics)/ Bachelor of Commerce, Bachelor of Engineering (Robotics and Mechatronics)/ Bachelor of Science (Computer Science and Software Engineering), Bachelor of Science (Biomedical Sciences), Bachelor of Engineering (Electronics and Computer Systems) /Bachelor of Science (Biomedical Sciences), Bachelor of Engineering (Telecommunication and Network Engineering), Bachelor of Engineering (Telecommunication and Network Engineering)/ Bachelor of Science (Computer Science and Software Engineering) , and an elective unit of study in the Bachelor of Science (Psychology and Psychophysiology)

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Aims & Objectives:

This unit aims to:

  • To provide students with mathematical knowledge and skills needed to support their concurrent and subsequent engineering studies
  • To provide students with a thorough grounding in mathematics
  • To lay a foundation for further studies in engineering mathematics

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Teaching Methods:

Lecture/tutorials (48 hours), seminars (12 hours)

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Assessment:

Assignments (10-15%), Tests (25-35%) and closed book exam (50-60%).

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Generic Skills Outcomes:

In this unit, students are expected to enhance the Key Generic Skills below as recognised by Engineers Australia. The Unit Outline explains how these outcomes will be achieved.
  • Ability to apply knowledge of basic science and engineering fundamentals
  • Ability to communicate effectively, not only with engineers but also with the community at large
  • Ability to undertake problem identification, formulation and solution

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Content:

  • Vectors (10 - 15%): Basic operations in 2D, introduction to 3D space, basic vectors in 3D, products, projections.
  • Number (5 - 10%): Binary, octal and hexadecimal systems.
  • Algebra (10 - 15%): Equations in one-variable: algebra, graphical solution, numerical solution; inequations in one variable: algebra, graphical solution; transformation of equations and formulae.
  • Functions and Graphs (20 -30%): Review of functions and graphs, including polynomials, rational functions and a review of trigonometry, problems of domain, limits, asymptotes, partial fractions, inverse trigonometric functions, hyperbolic and inverse hyperbolic functions.
  • Differentiation (20 - 30%): Implicit and logarithmic differentiation, optimisation, detailed graphing including inflection, rates, approximations, error analysis, Taylor polynomials, indeterminate forms, limits.
  • Integration (20 - 30%): Substitution, parts, general techniques, use of extensive tables, areas, centroids, volumes, arc lengths, surface areas, numerical integration.

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Reading Materials:

Course notes will be available.
Graphical calculator.

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