Essential Mathematics 1: Algebra and Trigonometry

Qualification: Undergraduate unit
Study mode: Online
Payment options: HECS-HELP may be available
FEE-HELP may be available
Duration: 13 weeks
Start date: Enquire now for upcoming start dates
Awarded by: University of South Australia
Course Unit A course unit is a single subject offered as part of a program of study, but can be completed individually. You may receive Recognition of Prior Learning for studying this unit.

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About this unit

You can increase you understanding of mathematical concepts and build new confidence with this introductory unit in algebra and trigonometry. Designed as a review of basic algebraic concepts, you can start with any level of knowledge and will find your way through the material.

Delivered online by Open Universities Australia, in partnership with the University of South Australia, the unit starts with sets of numbers followed by fractions, linear equations and the properties of absolute values. All of these subjects give you the fundamentals you need in the lead up to learning about functions, quadratic functions and, eventually, trigonometric functions, elementary matrices and linear algebra.

Once you have the basics covered, you will be taught to apply these principles to a range of uses including measuring angles, elevation and depression. The lessons learned here are relevant to a range of practical building and designing applications.

Eligibility

Anyone can apply.

Areas of study

In this Essential Mathematics 1: Algebra and Trigonometry unit, the topics you will study include:

  • Sets of numbers; axioms and laws of the real number system; the real number line; absolute values; complex numbers; order of operations
  • Exponents, laws of integer exponents; rational exponents. Equivalent fractions; addition, subtraction, multiplication, and division of fractions
  • Solving linear equations; solving quadratic equations; completing the square and the quadratic formula; the discriminant; equations involving radicals
  • Properties of absolute values; absolute values in equations; absolute value in inequalities. Ordered pairs and the Cartesian coordinate system
  • Definition of a function; notation; domain and range; increasing, decreasing, constant, even, odd functions; average rate of change
  • Graphs of quadratic functions; maximum and minimum values; domain and range; integer power functions; zeros; division of one polynomial by another
  • Trigonometric functions; points on the unit circle; definition of trigonometric functions; periodicity; notation; trigonometric identities
  • Angles, radian measure; degree measure; complementary, supplementary, and coterminal angles; trigonometric ratios of special angles
  • Triangles, right triangles; oblique triangles; law of sines; law of cosines; bearing and heading; elevation and depression
  • Matrix notation; row-equivalent matrices; linear equations; row-echelon form; Gaussian elimination; Gauss-Jordan elimination. Definition of a matrix
  • Multiplication of two matrices; the identity matrix; the inverse of a 2x2 matrix; laws of matrix multiplication

Course pathways

This unit is a core requirement in the following course:

Content may also be relevant to other courses, and could qualify you for Recognition of Prior Learning (RPL) for a course offered by another institution.

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Want more information about this unit? Fill out the enquiry form to the right and a study consultant will contact you with the details you need.

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How will this unit advance my career?

This online study unit is focused on providing the essential foundation of knowledge you need in order to tackle algebraic and trigonometric problems in your engineering course and career.

The unit teaches you to:

  • Apply elementary trigonometry to solve problems
  • Understand the function and applications for linear algebra
  • Manipulate problems in order to find solutions

How else will I benefit from this unit?

  • Upon successful completion of this unit you will receive credit for competencies in Essential Mathematics 1: Algebra and Trigonometry from the University of South Australia.
  • Studying online means you can study where you want, at your own pace.
  • Gain industry-relevant skills and transferrable knowledge.
  • Government financial support through FEE-HELP or HECS-HELP is available.
  • Studying single units allows you the flexibility to work towards a qualification at your own pace.
  • Receive Recognition of Prior Learning (RPL) for this unit across a number of OUA’s full degree programs.

Get more information

Want more information about the career benefits of this unit? Fill out the enquiry form to the right and a study consultant will contact you with the details you need.

Financial assistance

If you are an Australian citizen you may be eligible to receive FEE-HELP or HECS-HELP for this unit, meaning you can defer payment of your fees.

Get more information

Want more information about financial and student support? Fill out the enquiry form to the right and a study consultant will contact you with the details you need.

You may be eligible to receive HECS-HELP or FEE-HELP for this course!

This course can be paid for through the HECS-HELP or FEE-HELP government loan schemes. If you are an Australian citizen or hold a permanent humanitarian visa, this means you don’t need to pay upfront.

Instead, the Australian government will pay your course fees on your behalf. You’ll begin repaying your loan through the tax system once you start earning more than the minimum threshold of $54,869 (2016-17 income year).

Find out more about government study loans here.
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Open Universities Australia offers a range of administrative and student support options. As a student of OUA you will have access to four hours of free expert tutoring support for each unit undertaken through the tutoring service SMARTHINKING. This on-demand service allows you to get fast, detailed feedback on your assignment drafts and gives you access to your tutor in real time.

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Get more information

Want more information about the career benefits of this course?
Fill out the enquiry form to the right and a study consultant will contact you with the details you need.

FREE CALL 1800 063 523

Monday to Friday: 8am - late
Saturday and Sunday: 9am - 5pm

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