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Study online with University of Notre Dame Australia 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

Calculus

Statistics

Principles of Mathematics

Linear Algebra

This subject is designed to provide an introduction to the area of linear algebra. The subject introduces vectors and vector spaces covering addition of vectors, scalar multiplication and the geometric meaning of vectors. The theory of matrices is also developed and includes matrix addition and multiplication, inverse matrices, determinants and the use of Gaussian elimination to solve systems of equations. Matrix theory is also applied to the study of linear transformations.

This subject introduces students to Calculus, a fundamental area of mathematics involved in studying the behaviour of single variable functions. The subject covers limits, differentiation, integration and the applications of calculus, including maximising and minimising functions.

This subject in calculus provides a solid foundation in the theory and applications of differential and integral calculus to a variety of real-world situations. The subject begins with some preliminary material that reviews the concept of a function and of basic problem-solving techniques and includes limits, differentiation, graph sketching, integration and inverse functions. Apart from imparting technical knowledge on rules of integration and differentiation, the subject requires students to solve conceptual problems, thus enhancing their understanding of the principles of calculus. The key aim of this subject is to make students understand, appreciate and finally enjoy and embrace calculus. Successful completion of Calculus will ensure that students have the necessary preparation and foundation for subsequent major studies in mathematics, in particular, Advanced Calculus. This subject is an essential part of the mathematics program and is specifically designed in consultation with education providers to meet the needs of teacher training. A key feature of this subject is the project based approach. Students are assigned projects. As each topic is taught, students are asked to apply their learning to the project and, as a part of their assessment, students are asked to submit their project report. Thus students will be able to apply the knowledge in a real life setting.

This subject in discrete mathematics covers relations, including equivalence relations and partial orderings; algorithms; areas of number theory, including induction and recursion; proofs; and graph theory, including an introduction to trees and their applications. It is designed to further students&#39; mathematical content knowledge as well as their skills in communicating complex mathematical knowledge and ideas.

Discrete Mathematics

Advanced Calculus is designed to instruct students in areas of modern calculus and its applications to real world phenomena. The subject covers differential equations, modelling, series, multivariable functions, integration and partial differential equations. It is designed to further students’ mathematical content knowledge as well as their skills in communicating complex mathematical knowledge and ideas.

Advanced Calculus

This subject provides an introduction to statistical theory. It equips students with an understanding of statistical practices and data analysis techniques. It covers data analysis, probability, random variables and the use of statistical software.

This subject introduces advanced topics and concepts in linear algebra. Systems of equations, matrices, determinants, vectors, linear transformations and spectral theory are all covered in this course.

Build on the principles of mathematics with this advanced maths study of linear algebra. Topics include matrices, determinants, and vectors. Solve systems of equations. Get maths skills for computer science, engineering, and physics.

Principles of Mathematics is a foundational mathematics course. It is intended to provide the fundamental skills necessary to undertake more advanced mathematical study. Principles of Mathematics covers the areas of algebra, trigonometry, polynomials and equations. It is designed to further students’ mathematical content knowledge as well as their skills in communicating complex mathematical knowledge and ideas.

Principles of Mathematics covers the important basic concepts in algebra and trigonometry that a tertiary student is expected to master to undertake advanced mathematical concepts at upper level mathematics courses at the University of Notre Dame. The subject is designed to further the knowledge of students in the fields of polynomial, rational, exponential, logarithm and trigonometric functions. The student is also expected to understand and apply trigonometric identities and functions to solve practical mathematical problems. The subject also covers analytical geometry and topics in matrices, sequences and systems of linear equations. Overall the subject provides a strong grounding in algebra and trigonometry at a tertiary level for further advanced mathematical studies. This subject is an essential part of the mathematics program and is specifically designed in consultation with education providers to meet the needs of teacher training for Education students.

This subject is designed to further the knowledge of students on number analysis, using statistical measures and using tools to visualise numbers and patterns such as using Microsoft Excel and the Statistical Package for Social Sciences (SPSS). It provides a broad introduction to statistical practice and data analysis techniques. It aims to equip students with a basic understanding of statistics, such that they are able to employ appropriate methods of analysis in various circumstances. The techniques learnt are widely used in the sciences, social sciences, business areas and many other fields of study. This subject is an essential part of the mathematics program and is specifically designed in consultation with education providers to meet the needs of teacher training for Education students.

University of Notre Dame Australia Mathematics Short courses | Open Universities Australia

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