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Dr Daniel Stevenson, Dr Brendan Harding, Dr Melissa Humphries, Dr David Butler, Nicholas Crouch, Dr Danny Stevenson, Dr. Melissa Humphries, Dr. Danny Stevenson, Dr. David Butler, and Dr. Brendan Harding

MathTrackX is an XSeries Program that has been designed to provide learners with a solid foundation in fundamental mathematics and how it can be applied in the real world. The 6 courses in this program will assist in developing the skills, knowledge and confidence for STEM related career development or preparation for further studies.

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MathTrackX is an XSeries Program that has been designed to provide learners with a solid foundation in fundamental mathematics and how it can be applied in the real world. The 6 courses in this program will assist in developing the skills, knowledge and confidence for STEM related career development or preparation for further studies.

Guided by experts from the School of Mathematical Sciences and the Maths Learning Centre at the University of Adelaide, this self-paced program will equip learners with a comprehensive understanding of the key underpinnings of mathematics, required for further study. Learners will develop skills in communicating mathematical solutions and arguments, and build confidence in solving mathematical problems. Topics covered include methods and applications of differentiation, integration, probability and statistics.

Upon successful completion, this program will be accepted as a prerequisite in place of SACE Stage 2 Mathematical Methods at the University of Adelaide. MathTrackX is not a replacement for SACE Year 12 Stage 2 Maths Methods but could be a useful study tool towards completion of this certificate.

Recognition of this program may also be applicable for further studies in your state or country. Please contact your accrediting body for any processes that apply if you are hoping to use this program as a bridging course into further education at a University level.

Learners that require further assistance with the foundational skills necessary to excel in mathematics may wish to undertake the AdelaideX: Maths Foundations. The Maths Foundations course is not part of the MathTrackX Program, however, it does provide the necessary skills and understanding required for tertiary-level mathematics that may assist learners before enrolling in the MathTrackX XSeries Program.

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What's inside

Six courses

MathTrackX: Polynomials, Functions and Graphs

(18 hours)
This course is part one of the MathTrackX XSeries Program designed to provide a solid foundation in mathematical fundamentals and their real-world applications. It introduces functions, the algebra of numbers & polynomials, and sets of numbers and intervals of the real number line.

MathTrackX: Special Functions

(18 hours)
This course continues the study of functions initiated in Polynomials, Functions and Graphs by moving into trigonometric, exponential, and logarithmic functions.

MathTrackX: Differential Calculus

(18 hours)
This course covers basic concepts and techniques relating to differentiation, a fundamental tool of calculus. Derivatives are key to understanding rates of change, that is, the extent to which a function responds to changes in a dependent variable.

MathTrackX: Integral Calculus

(18 hours)
This MathTrackX course covers integration, a fundamental tool of calculus, and its applications in STEM careers and undergraduate study. It explores anti-derivatives, polynomial and special function integration, definite integrals, and their relation to areas under graphs.

MathTrackX: Probability

(18 hours)
This course introduces probability and its applications in the real world. You will learn about discrete and continuous random variables, their properties, and how to calculate probabilities, expected values, variances, and standard deviations. You will also explore the effects of linear changes of scale and origin on the mean and standard deviation, and learn how to calculate quantiles of normal distribution.

MathTrackX: Statistics

(18 hours)
This course, part of the MathTrackX XSeries Program, provides a foundation in statistical inference, a crucial aspect of statistics. Guided by experts, it covers random sampling, sample means and proportions, confidence intervals, and one-sample tests of proportions and means.

Learning objectives

  • Concepts and techniques from calculus, probability and statistics at a pre-university level.
  • How to solve problems and apply reasoning in calculus, probability and statistics.
  • Interpretation and evaluation of mathematical and statistical information to determine the correctness of solutions to problems.
  • How to implement a sequence of strategies to solve problems and construct logical arguments to communicate the solutions.

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