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Study graduate certificate online through Open Universities Australia. Explore all degrees, subjects and short courses now.

Science, technology, engineering, and Mathematics (STEM) are heralded as key drivers of future innovation and growth. The Graduate Certificate in Mathematics is designed as the first in a nested set of programs to enable existing teachers to retrain to teach Mathematics. It can also be studied as a pathway for students who want to deepen their knowledge of Mathematics but have not studied Mathematics at an undergraduate level. The program covers areas such as Number, Algebra, Geometry Statistics, and Calculus. It develops the capacity of students to apply advanced mathematical knowledge in order to design and solve authentic problems.

This university qualification in mathematics will suit teachers looking to add maths to their repertoire. But math problem solving skills are valued across many fields including finance and health. Upskill in maths and get ready to pursue opportunities.

Graduate Certificate in Mathematics

Mathematical Methods for Engineers 2

Mathematical Methods for Engineers 1

Essential Mathematics 2: Calculus

Calculus

Statistics

Essential Mathematics 1: Algebra and Trigonometry

Applied Mathematics Foundation

Mathematics 1B

Introduction to Quantitative Skills

Introduction to University Mathematics

This for-credit subject is a preparatory mathematics subject intended for students who have not completed secondary school mathematics and who have insufficient background for the more advanced mathematics required for success in MAS162, MAS182 and MAS161. The topics covered include algebra; polynomials, exponential and logarithmic functions and their graphs; matrices; basic concepts of differential and integral calculus and applications.Please Note: All students studying at Murdoch University will need to complete the compulsory unit, Murdoch Academic Passport (MAP100), which only takes 2-3 hours to complete online. Find out more: <a href="http://goto.murdoch.edu.au/MurdochAcademicPassport" target="_blank">http://goto.murdoch.edu.au/MurdochAcademicPassport</a>.

Get up to speed with the base level of maths you’ll need for coding. Build or refresh your working knowledge of maths, covering algebra, trigonometry, derivatives, and more. You’ll be able to solve mathematical problems and progress to advanced courses.

Fundamentals of Mathematics

This subject was previously known as Applied Mathematics.This subject provides an introduction to differential and integral calculus, and basic ordinary differential equations. The concepts and techniques will be motivated and illustrated using mathematical models in engineering, the physical and biological sciences, commerce, economics, and the social sciences. Other topics include complex numbers and their applications.You are strongly advised NOT to enrol in MAS182 and MAS164 at the same time. In order to successfully complete MAS182, you will require the knowledge gained from the successful completion of MAS164.Murdoch University advises that students who do not successfully complete MAS164 before attempting MAS182 usually fail MAS182.Students who did not study mathematics at school, did not receive good marks, or have not studied mathematics in a long time should enrol in MAS164 before attempting MAS182. All enrolled students may access Murdoch&#39;s <a href="https://goto.murdoch.edu.au/MathsRefresher" target="_blank">Maths Refresher Program</a>. You are advised to review the worksheets in this program before beginning MAS182.Please Note: If you have not completed MAS164 but can show that you have a good background in the subject, you can apply to have this requirement waived via a Unit Validation Request. <a href="https://askmurdoch.custhelp.com/app/askmurdoch/answers/detail/a_id/3276" target="_blank">https://askmurdoch.custhelp.com/app/askmurdoch/answers/detail/a_id/3276</a>Some equivalent pre-requisites to MAS164 are: Year 11 Introduction to Calculus, along with a final scaled score of 55% or more in TEE Applicable Mathematics, OR a final scaled score of 55% or more in ATAR Mathematics Methods or WACE Mathematics (3C/3D).Please Note: All students studying at Murdoch University will need to complete the compulsory unit, Murdoch Academic Passport (MAP100), which only takes 2-3 hours to complete online. Find out more: <a href="http://goto.murdoch.edu.au/MurdochAcademicPassport" target="_blank">http://goto.murdoch.edu.au/MurdochAcademicPassport</a>.

Learn how to use maths methods to solve problems in science and technology. Topics include the derivative, complex numbers, and the trigonometric functions. Gain confidence applying maths to engineering, science and economics. 

Introductory Calculus with Applications

Calculus concerns the rate of change of a function with respect to its variable, which is geometrically represented by the slope of a curvilinear trajectory. All of science and engineering, including economics and finance, use calculus as a main tool. Understanding the technical aspects of today&#39;s information technology is not possible without calculus, and calculus has and will continue to have a crucial role in the development of the technologies of the future.The main devices in calculus are limits of real functions and their properties. The use of limits enables us to understand change simply and precisely. This is how areas of irregular shapes can be computed exactly, and how physical processes involving change can be fully understood.UniSA Online’s 10-week short courses give you the flexibility to up-skill in a certain area, stay current with developments in your field, diversify your knowledge, or even explore a new direction in your career – without having to commit to the time and cost of a full university degree. This is a course from UniSA Online’s Associate Degree in Engineering. When studying this course as a &quot;single subject&quot;, prior knowledge from MATH 1076 or equivalent will support your success.Delivered 100% online, you’ll be able to study where and when it suits you. Access online academic and student support seven days a week, fit study around work and life commitments, view learning resources 24/7, and log in to the interactive online environment anywhere, any time and on any device.Should your course have an exam it will be scheduled for Australian Central Standard Time or Australian Central Daylight Time, depending on the time of the year.

Combine algebra, geometry, and limits to solve maths problems dealing with changes and rates of change. By studying calculus, you’ll unlock powerful tools for use in physics, engineering, and economics. Covers differential and integral calculus.

Gain a solid foundation in mathematical and statistical concepts essential for mastering data analytics.This course covers key topics such as linear algebra concepts, vector and matrix operations, and the fundamentals of eigenvalues and eigenvectors. Explore dynamical systems and optimisation techniques, including gradient descent. Dive into linear regression, probability concepts—such as probability laws, Bayes&#39; rule, and independence—and selected probability distributions. Learn the principles of statistical inference and how to apply them effectively to data analytics.This is a first-year course from UniSA Online’s Data Analytics degree. When studying this course as a &quot;single subject&quot;, prior knowledge from MATH 1080, MATH 2032 or equivalent will support your success.Delivered 100% online, you’ll be able to study where and when it suits you. Access online academic and student support seven days a week, fit study around work and life commitments, view learning resources 24/7, and log in to the interactive online environment anywhere, any time and on any device. Should your course have an exam it will be scheduled for Australian Central Standard Time or Australian Central Daylight Time, depending on the time of the year.

Mathematics Essentials in Data Analytics

Build a strong mathematical foundation for your data analytics journey with our comprehensive course.Explore essential topics including arithmetic and algebraic operations, linear and quadratic equations, and logarithmic and exponential functions. Dive into matrices and determinants, and master absolute values, inequalities, and sets. Gain a solid grounding in basic probability and statistics to support your data analytics skills.Join us to develop the mathematical skills needed to excel in data analytics and unlock new opportunities for data-driven insights!This is a first-year course from UniSA Online’s Data Analytics degree. Delivered 100% online, you’ll be able to study where and when it suits you. Access online academic and student support seven days a week, fit study around work and life commitments, view learning resources 24/7, and log in to the interactive online environment anywhere, any time and on any device. Should your course have an exam it will be scheduled for Australian Central Standard Time or Australian Central Daylight Time, depending on the time of the year.

Fundamentals of Mathematics for Data Analytics

The applicability of calculus and linear algebra is so broad that fluency in it is essential for a successful career in a variety of areas including science and engineering. This subject is devoted to the conceptual and logical development of these two main areas of mathematics, gradually building the tools for solving innumerable problems of great practical importance. In the calculus part of the subject, a brief look at the Real Number System and their properties will lead us to the study of Functions in general and the study of special functions such as trigonometric, exponential and logarithmic functions. The notion of limits will be utilized to define continuity and differentiability of functions, emphasizing the importance of understanding the material conceptually and graphically. This area will also help establish the technical skills necessary to solve problems arising in practical situations. One highlight of the subject will be the discussion of the Fundamental Theorem of Calculus, which unifies differential and integral calculus. An introduction to two and three dimensional vector spaces will be an essential part of the subject as the knowledge in that area is vital, particularly for studies in engineering and physics. This subject is a required unit in the Bachelor of Science mathematics major and Bachelor of Engineering students.

Mathematics 1A

The foundations of linear algebra and calculus introduced in MATH1010 are further explored and extended. Topics covered in algebra include: inverse matrices, determinants, vector spaces &amp; subspaces, eigenvalues and eigenvectors and linear transformations. In calculus the topics include: the further development of the concepts of limits, continuity and the derivative, numerical integration, polynomials, sequences &amp; series and differential equations. In addition, complex numbers and the calculus of two or more variables are introduced. Students utilise mathematical software throughout the course to support and enhance problem solving for a variety of theoretical and practical problems.

Calculus & Linear Algebra II

This is the first mainstream university mathematics unit; it is essential for students in engineering and many areas of science. This subject provides an introduction to basic concepts and techniques in linear algebra and calculus. In algebra, topics covered include matrices, systems of linear equations and their applications, including the use of vectors in two and three-dimensional Euclidean geometry and linear optimisation. In calculus, the concept of a function of one variable is explored, and the notions of limit and continuity are developed. The concept of the derivative as a suitable construct to describe rates of change is defined and techniques of differential and integral calculus of functions of a real variable are developed. Some simple differential equations and their role as quantitative models for dynamic processes, are discussed. Students are also introduced to the use of computers in mathematics, and develop modelling and problem solving skills through theoretical and practical problems.

Calculus and Linear Algebra I

Students will be introduced to how mathematical models are used in biological, biophysical sciences and we will emphasise insight into how models may be derived from biophysical assumptions. A small but representative range of biophysical applications is investigated. The strengths and limitations of models to make predictions about ecological sustainability are explored. The subject is organised in modules, each focusing on a specific application.  Learning resources including all lecture materials will be available on-line. Students participate in two 1-hour problem solving classes per week to work through problem sets designed to strengthen basic mathematical skills. Considerable use will be made of spreadsheets as a tool for understanding mathematical models and performing calculations.

Mathematical Applications In Biology

Advanced calculus techniques are an essential tool for scientists modelling complex systems, from electromagnetic oscillations to the spread of infectious diseases. Integrating with other offerings in calculus and linear algebra this subject not only provides you with methods applied across the natural and social sciences but also with a theoretical foundation allowing you to pursue further study in mathematics. You will explore topics with broad applications, including linear mappings (determinant and eigenvectors), further techniques of integration and improper integrals, infinite series and Taylor series, parametric equations and implicit equations, and basic differential equations.

Calculus and Linear Algebra 2

Graduate Certificate Mathematics Courses & Degrees | Open Universities Australia

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