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Maths Foundations

This course provides learners with the foundational skills necessary to excel in mathematics. For school leavers, it acts as a bridge between their prior educational experiences and the requirements of tertiary education. Professionals who want to refresh their knowledge or return to higher education will benefit from the course's tools and techniques, equipping them to effectively communicate their mathematical ideas in a business or an academic setting.

This standalone course may assist learners who wish to undertake AdelaideX’s MathTrackX XSeries Program, however, it is not a mandatory course within the MathTrackX Program.

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What's inside

Learning objectives

Clo1: demonstrate fluency with the basic operations on numbers, including natural numbers, integers and rational numbers.
Clo2: demonstrate fluency with the algebraic rules of numbers, including solving linear equations and inequalities.

Clo3: describe accurately sets in the number line and the coordinate plane, including straight lines.
Clo4: solve problems using the basic properties of numbers, including those involving rates of change and measurement of length and area.

Clo1: demonstrate fluency with the basic operations on numbers, including natural numbers, integers and rational numbers.
Clo2: demonstrate fluency with the algebraic rules of numbers, including solving linear equations and inequalities.
Clo3: describe accurately sets in the number line and the coordinate plane, including straight lines.
Clo4: solve problems using the basic properties of numbers, including those involving rates of change and measurement of length and area.

Syllabus

Topics:

1. Operations on Natural numbers and integers and their operations.

2. Rational numbers and their operations.

3. Decimals and percentages and their operations.

4. Length and area. Time and speed.

5. Sets in the number line.

6. Solving equations and inequalities.

7. Sets in the plane. Straight lines.

Each topic will contain:

• a small number of introductory or explanation videos, some text explanations, examples and summaries

• several worked example videos

• some dynamic animation activities made using GeoGebra

• discussion activities

• several “streak tests”, which are one-question quizzes that can be tried over and over until mastery

Good to know

Know what's good

, what to watch for

, and possible dealbreakers

Focuses on math skills that are integral to higher education and business

Provides a solid foundation in number operations, algebra, and geometry

Offers dynamic and interactive materials for enhancing understanding

May serve as a preparatory course for further mathematical studies

Requires basic mathematical knowledge as prerequisite

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Maths Foundations with these activities:

Organize and review your notes, assignments, and study materials

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Consolidate your learning by organizing your materials, identifying areas for improvement, and preparing for future reference.

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Gather all your notes, assignments, and study materials
Organize the materials by topic or date
Review the materials, highlighting important concepts and identifying areas where further clarification is needed

Attend a local math meetup or conference

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Connect with other math enthusiasts, learn about industry trends, and expand your professional network.

Browse courses on Networking

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Research and identify relevant math meetups or conferences
Register and attend the event
Engage with other attendees, ask questions, and share your knowledge

Read and review Mathematics for Machine Learning by Marc Peter Deisenroth

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Review a foundational resource covering the essential mathematical concepts used in machine learning.

View Mathematics for Machine Learning on Amazon

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Read the entire book
Summarize each chapter in your own words

Five other activities

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Follow tutorials on probability distributions and their applications

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Expand your knowledge by exploring different probability distributions and their real-world applications.

Browse courses on Probability Distributions

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Find reputable online tutorials or courses on probability distributions
Follow the tutorials, taking notes and completing exercises
Apply the concepts to real-world examples in your field of interest

Practice solving quadratic equations using the quadratic formula

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Strengthen your problem-solving skills and gain fluency in applying the quadratic formula.

Browse courses on Quadratic Equations

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Identify the coefficients of the quadratic equation
Substitute the coefficients into the quadratic formula
Solve for the roots of the equation

Build a simple calculator using Python

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Apply the concepts of variables, operators, and conditional statements to create a functional program.

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Design the calculator's interface and functionality
Write code to handle user input and perform calculations
Test and debug the calculator

Participate in a hands-on data visualization workshop

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Gain practical experience in presenting data effectively, enhancing your communication and presentation skills.

Browse courses on Data Visualization

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Find and register for a data visualization workshop
Attend the workshop and actively participate in exercises
Create a data visualization project using the techniques learned

Create a video tutorial explaining the concept of linear equations

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Reinforce your understanding by explaining the topic to others, promoting active recall and knowledge organization.

Browse courses on Linear Equations

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Plan the structure and content of the video
Record and edit the video, ensuring clear explanations and visuals
Share the video on an online platform

Career center

Learners who complete Maths Foundations will develop knowledge and skills that may be useful to these careers:

Operations Research Analyst

An Operations Research Analyst uses mathematical and analytical techniques to improve the efficiency and effectiveness of organizations. The Maths Foundations course is a great way to build a foundation in mathematics for those interested in a career as an Operations Research Analyst. The course covers topics such as operations on numbers, solving equations and inequalities, and understanding sets in the number line and the coordinate plane.

See salaries and explore the career path for Operations Research Analyst

Data Scientist

A Data Scientist uses data to solve business problems and create value for organizations. The Maths Foundations course can help those interested in a career as a Data Scientist build a strong foundation in mathematics, including operations on numbers, solving equations and inequalities, and understanding sets in the number line. These skills are essential for success in the data science profession.

See salaries and explore the career path for Data Scientist

Risk Analyst

A Risk Analyst identifies, assesses, and mitigates risks for organizations. The Maths Foundations course can help those interested in a career as a Risk Analyst build a strong foundation in mathematics, including operations on numbers, solving equations and inequalities, and understanding sets in the number line. These skills are essential for success in the risk management profession.

See salaries and explore the career path for Risk Analyst

Teacher

A Teacher plans and delivers instruction to students at primary or secondary schools. The Maths Foundations course can be especially useful for aspiring Teachers as it provides a strong foundation in mathematics, including operations on numbers, solving equations and inequalities, and understanding sets in the number line and the coordinate plane. These skills are essential for success in the teaching profession.

See salaries and explore the career path for Teacher

Management Consultant

A Management Consultant advises businesses on how to improve their performance. The Maths Foundations course can equip those interested in a career as a Management Consultant with a solid foundation in mathematics, including operations on numbers, solving equations and inequalities, and understanding sets in the number line. These skills are essential for success in the management consulting profession.

See salaries and explore the career path for Management Consultant

Investment Analyst

An Investment Analyst researches and evaluates investment opportunities. The Maths Foundations course can equip those interested in a career as an Investment Analyst with a solid foundation in mathematics, including operations on numbers, solving equations and inequalities, and understanding sets in the number line. These skills are essential for success in the investment management profession.

See salaries and explore the career path for Investment Analyst

Business Analyst

A Business Analyst analyzes business processes and recommends solutions to improve efficiency and effectiveness. The Maths Foundations course can be especially useful for aspiring Business Analysts as it provides a strong foundation in mathematics, including operations on numbers, solving equations and inequalities, and understanding sets in the number line and the coordinate plane. These skills are essential for success in the business analysis profession.

See salaries and explore the career path for Business Analyst

Financial Analyst

A Financial Analyst provides advice on investments and other financial matters. They help businesses and individuals make informed decisions about their finances. The Maths Foundations course can equip those interested in a career as a Financial Analyst with a solid foundation in mathematics, including operations on numbers, solving equations and inequalities, and understanding sets in the number line.

See salaries and explore the career path for Financial Analyst

Software Engineer

A Software Engineer designs, develops, and maintains software applications. The Maths Foundations course could help those interested in a career as a Software Engineer build a strong foundation in mathematics, including operations on numbers, solving equations and inequalities, and understanding sets in the number line. These skills are essential for success in the software engineering profession.

See salaries and explore the career path for Software Engineer

Quantitative Analyst

A Quantitative Analyst develops and uses mathematical and statistical models to analyze financial data and make investment decisions. The Maths Foundations course can be especially useful for aspiring Quantitative Analysts as it provides a strong foundation in mathematics, including operations on numbers, solving equations and inequalities, and understanding sets in the number line and the coordinate plane. These skills are essential for success in the quantitative finance profession.

See salaries and explore the career path for Quantitative Analyst

Actuary

An Actuary evaluates and manages financial risk. The Maths Foundations course can be especially useful for aspiring Actuaries as it provides a strong foundation in mathematics, including operations on numbers, solving equations and inequalities, and understanding sets in the number line and the coordinate plane. These skills are essential for success in the actuarial profession.

See salaries and explore the career path for Actuary

Auditor

An Auditor examines financial records to ensure accuracy and compliance with regulations. The Maths Foundations course may provide a helpful foundation in mathematics for those interested in a career as an Auditor, as it covers topics such as operations on numbers, solving equations and inequalities, and understanding sets in the number line.

See salaries and explore the career path for Auditor

Accountant

An Accountant prepares and examines financial records. The Maths Foundations course may provide a helpful foundation in mathematics for those interested in a career as an Accountant, as it covers topics such as operations on numbers, solving equations and inequalities, and understanding sets in the number line.

See salaries and explore the career path for Accountant

Statistician

A Statistician collects, analyzes, and interprets data to provide insights and make predictions. The Maths Foundations course would be particularly useful for aspiring Statisticians as it covers topics such as operations on natural numbers, rational numbers, and decimals, as well as solving equations and inequalities.

See salaries and explore the career path for Statistician

Data Analyst

A Data Analyst collects, transforms, and analyzes data to uncover patterns and trends. Those wishing to succeed in this role will need to have strong mathematical skills. The Maths Foundations course would be particularly helpful for Data Analysts as it covers topics such as operations on natural numbers, rational numbers, and decimals, as well as solving equations and inequalities.

See salaries and explore the career path for Data Analyst

Reading list

We've selected 14 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Maths Foundations.

Student Solutions Manual for Larson/Edwards'...

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Provides a comprehensive overview of calculus topics, including limits, derivatives, integrals, and applications of calculus. It good resource for students who are preparing for more advanced mathematics courses or for those who need a review of the basics of calculus.

Maths Foundations

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What's inside

Learning objectives

Syllabus

Good to know

Save this course

Activities

Career center

Reading list

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