Linear Algebra and Statistics for Engineers
MATH1019

Year 1, Sem 2 or Sem 1 Core Enabling Knowledge and Skills Engineering Application Experience Practical and ‘Hands-on’ Experience

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Code MATH1019
Credits 25
Graduate Attributes

Introduction

Mathematics doesn't just explain how systems behave—it helps engineers design, predict, and optimise. This unit equips you with two essential branches of mathematics for engineering: linear algebra and statistics, giving you the skills to model complex systems and make decisions under uncertainty.

In the linear algebra component, you’ll explore vectors, planes, and matrices—not just as abstract ideas, but as practical tools for solving real-world engineering problems. You'll learn how to visualise and work in multidimensional spaces, and how to solve systems of linear equations that underpin applications from structural analysis to electrical circuit modelling.

The statistics component introduces you to data-driven problem-solving, a key skill for modern engineers. You’ll develop a solid grounding in descriptive statistics, probability, and statistical inference—enabling you to interpret experimental results, analyse variation in systems, and support engineering decisions with evidence.

This unit complements your learning in calculus (MATH1020) by focusing on the structure and uncertainty within systems, rather than their rates of change. Both strands of mathematics are taught through a contextualised, engineering-focused lens, using examples that reflect the challenges you’ll face in real engineering projects.

If you’ve completed WACE Mathematical Methods or equivalent, this unit will deepen your analytical thinking and prepare you for the statistical and computational tools you’ll encounter in disciplines ranging from civil to biomedical to mechanical engineering.

Unit Learning Outcomes

  • 1 apply vector techniques to solve problems on lines and planes, GC1, GC2, GC3, GC6
  • 2 execute routine matrix manipulations which arise in engineering problems, including the determination of solutions of systems of linear algebraic equations and calculating inverses of matrices, GC1, GC3
  • 3 analyse data using exploratory and inferential statistics, GC1, GC3
  • 4 demonstrate digital competency by using appropriate software for solving more advanced linear algebra and statistical problems, GC1, GC3, GC6
  • 5 generate and use basic logical mathematical arguments in the solution of engineering problems, GC1, GC2, GC3, GC4, GC6

Course Learning Outcomes

  • 1 Demonstrate a conceptual understanding of fundamental science, mathematics, data analytics, information science, and computing underpinning the broad field of engineering
  • 2 Solve complex chemical engineering problems of industrial and societal significance through the application of discipline-specific and integrated bodies of knowledge, design and sustainability principles

Assessment Breakdown

Recent Unit Changes & Response to Student Feedback

Students are encouraged to provide feedback through student surveys (such as Insight and the annual Student Experience Survey) and interactions with teaching staff.

Listed below are some recent changes to the unit as a result of student feedback.

Please note that due to Covid-19 impacts, the assessment schedule for this unit has been modified and the delivery of some classes may be affected. Should public health and/or University advice change through the study period it is possible that assessment and delivery details in this document may again need to be changed. You will be kept upto-date with any changes as they happen through Blackboard announcements.

The weighting of the eTest assessment has been reduced whereas the invigilated assessment weightings have increased.