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.
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
This unit is a core requirement in the following course:
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.
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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).
For two decades, Open Universities Australia (OUA) has partnered with leading Australian educators to make tertiary-level courses easier to access for people, no matter their background, their work status or their other life commitments. OUA has built up their reputation by making education more flexible, easier to tailor and available almost entirely online.
OUA's devotion to online education remains to this day, but where they once focused on higher education, today they offer the broadest set of post-secondary education and training programs in Australia.
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.
The My OUA portal is an online student medium that allows you access to all your course and enrolment information as well as access to student forums and assessment tips.