EZB108 Linear Algebra and Analytic Geometry

Unit Outline: Dalian Teaching Period - 1 2026, Non-QUT location, Internal

Overview

This unit explains linear algebra and analytic geometry. Linear algebra focuses on the classic theory of linear transformation in algebra and the basic theory of matrices. This unit develops your abilities in logical and abstract reasoning and your understanding of the basic theories and methods in linear algebra and analytic geometry. As the linear problem exists in various fields of science and engineering, and the nonlinear problem also can be transformed to linear problem, the theory and methods on linear algebra are very useful for other units. As the basis of calculus and physics, analytic geometry applies the basic tool-vector in terms of the plane, the line, the curve and the surface in space.

Learning Outcomes

On successful completion of this unit you will be able to:

1. Demonstrate understanding of basic concepts, basic theories and operation skills of linear algebra and analytic geometry at an introduced level.
2. Abstract and summarise mathematical problems using technical notation, logical reasoning, spatial imagination and self-directed learning at an introduced level.
3. Apply knowledge and skills to analyse and solve linear algebra and analytic geometry problems at an introduced level.
4. Communicate effectively in mathematical formats to specialist audiences at an introduced level.

Content

Learning Approaches

In this unit you can expect to experience the following timetabled activities:

• Formal interactive lectures (3.5h per week throughout the 16 week teaching period). They will discuss important concepts and work through example problems relevant for your assessment. These activities are an important opportunity for you to interact directly with your teaching team, to familiarise yourself with best practice, and to ask help or clarification where needed. 

You will be provided with learning resources using its DUT's LMS site, which you can access flexibly to prepare for your timetabled learning activities. Learning resources will introduce you to theoretical background and concepts in fundamental engineering mathematics, along with example problems and real-world applications.

You will be expected to:

1. Prepare for timetabled activities by engaging with the learning resources available from the unit LMS site.
2. Engage with timetabled activities and ask questions.
3. Work on a wide variety of exercises and problems in your own time to consolidate material from timetabled activities.
4. Engage with your peers in a learning community to practise problem solving and then work independently to complete your assessment.

Feedback on Learning and Assessment

You will receive formative feedback by completing two in-semester assignments. Your assessment submissions will be graded against predetermined criteria and standards which will be shared with you according to DUT requirements. Marked assessment will include written feedback from markers against the criteria.

Assessment

Overview

The assessment in this unit is designed to assess your learning against the unit learning outcomes. The assignments support you to progress in developing your competency in the application of fundamental methods as well as the development of problem-solving skills that will allow you to tackle more complex and open problems in your future career.

An Assessment Task Description, Assessment Detail, and marking Rubric will be provided for the Professional Evaluation Portfolio.

You will sit an invigilated written examination during the DUT central examination period to assess your overall learning in the unit.

Unit Grading Scheme

7- point scale

Assessment Tasks

Assessment: Professional evaluation portfolio

You will submit an individual professional evaluation portfolio with progressive homework tasks that demonstrates development of your knowledge and skills in linear algebra and analytic geometry. This assessment includes a participation component.

This assessment is subject to DUT submission and assignment extensions policy.

Assessment: In-class written tests

You will take two in-class written tests where you will solve mathematical problems in linear algebra and analytical geometry based on knowledge gained in lectures. 

Assessment: Examination

You will be required to solve problems coherently demonstrating knowledge and skills in the mathematics domain.

Academic Integrity

Academic integrity is a commitment to undertaking academic work and assessment in a manner that is ethical, fair, honest, respectful and accountable.

The Academic Integrity Policy sets out the range of conduct that can be a failure to maintain the standards of academic integrity. This includes, cheating in exams, plagiarism, self-plagiarism, collusion and contract cheating. It also includes providing fraudulent or altered documentation in support of an academic concession application, for example an assignment extension or a deferred exam.

You are encouraged to make use of QUT’s learning support services, resources and tools to assure the academic integrity of your assessment. This includes the use of text matching software that may be available to assist with self-assessing your academic integrity as part of the assessment submission process.

Breaching QUT’s Academic Integrity Policy or engaging in conduct that may defeat or compromise the purpose of assessment can lead to a finding of student misconduct (Code of Conduct – Student) and result in the imposition of penalties under the Management of Student Misconduct Policy, ranging from a grade reduction to exclusion from QUT.

Resources

Resource Materials

Prescribed text(s)

Steven J. Leon. Linear Algebra (10th Edition). Mechanical Industry Press.

Reference book(s)

Wanji Dai, Qingrong Lian, Ying Wang, Hong Feng. Linear Algebra and Analytic Geometry (First Edition). Higher Education Press. 2012.

Risk Assessment Statement

You will undertake lectures and tutorials in the traditional classrooms and lecture theatres of DUT. You will follow all legitimate instructions of staff in accordance with DUT workplace health and safety requirements.

Course Learning Outcomes

EZ90 Bachelor of Engineering (Honours)

1. Engage stakeholders professionally and communicate the outcomes of your work effectively to expert and non-expert audiences using appropriate modes.
   Relates to: ULO4, Professional evaluation portfolio, In-class written tests, Examination
2. Display leadership, creativity, and initiative in both self-directed and collaborative contexts of professional engineering practice.
   Relates to: ULO2, Professional evaluation portfolio, In-class written tests, Examination
3. Manage projects to solve complex engineering problems, using appropriate information, engineering methods, and technologies.
   Relates to: ULO3, Professional evaluation portfolio, In-class written tests, Examination
4. Demonstrate coherent knowledge and skills of physical, mathematical, statistical, computer, and information sciences that are fundamental to professional engineering practice.
   Relates to: ULO1, ULO2, ULO3, Professional evaluation portfolio, In-class written tests, Examination