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

This course is part one of the MathTrackX XSeries Program which has been designed to provide you with a solid foundation in mathematical fundamentals and how they can be applied in the real world.

This course will lay down the foundations of basic mathematical vocabulary and play a role in communicating key concepts throughout the MathTrackX Program. A central concept underpinning this course is the mathematical concept of function. Functions occur throughout mathematics and an understanding of them is essential.

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This course is part one of the MathTrackX XSeries Program which has been designed to provide you with a solid foundation in mathematical fundamentals and how they can be applied in the real world.

This course will lay down the foundations of basic mathematical vocabulary and play a role in communicating key concepts throughout the MathTrackX Program. A central concept underpinning this course is the mathematical concept of function. Functions occur throughout mathematics and an understanding of them is essential.

Guided by experts from the School of Mathematics and the Maths Learning Centre at the University of Adelaide, this course will introduce functions, the algebra of numbers & polynomials and sets of numbers and intervals of the real number line.

Join us as we provide opportunities to develop your skills and confidence in these mathematical functions.

What's inside

Learning objectives

  • Algebra and arithmetic
  • Basic vocabulary for sets of real numbers
  • Basic concepts of functions
  • Understanding and graphing polynomials
  • Mathematical problem solving

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Develops mathematical vocabulary and understanding for use in various fields
Taught by experts in mathematics education from the University of Adelaide
Builds a foundation in basic mathematical vocabulary and concepts
Introduces the mathematical concept of functions, which is essential for further study in mathematics
Provides opportunities to develop skills and confidence in mathematical functions
Designed for learners with little to no background in mathematics

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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 MathTrackX: Polynomials, Functions and Graphs with these activities:
Read 'Understanding Mathematics' by Keith Devlin
Reading 'Understanding Mathematics' will provide you with a broader understanding of the nature of mathematics, which can enhance your appreciation and comprehension of the topics covered in this course.
Show steps
  • Read the book, taking notes on key concepts.
  • Discuss the book with classmates or a study group.
Participate in a weekly study group
Participating in a weekly study group will provide you with opportunities to discuss course material with peers, ask questions, and reinforce your understanding.
Show steps
  • Find a study group or create your own.
  • Meet regularly to discuss course material.
  • Collaborate on problem-solving and assignments.
Create a visual representation of a set of numbers
Creating a visual representation of a set of numbers will help you understand the relationships between the numbers and identify patterns.
Browse courses on Set Theory
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  • Choose a set of numbers to represent.
  • Select a visual format for your representation, such as a graph, chart, or diagram.
  • Create the visual representation, ensuring that it is clear and accurate.
Three other activities
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Show all six activities
Write a summary of a mathematical concept
Writing a summary of a mathematical concept will help you reinforce your understanding and improve your ability to communicate mathematical ideas.
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  • Choose a mathematical concept to summarize.
  • Research the concept thoroughly.
  • Write a clear and concise summary, including key definitions, theorems, and examples.
Develop a mathematical model to solve a real-world problem
Developing a mathematical model to solve a real-world problem will allow you to apply the mathematical concepts you learn in this course to practical situations.
Show steps
  • Identify a real-world problem that can be solved using mathematics.
  • Develop a mathematical model that represents the problem.
  • Use the model to solve the problem and make predictions.
Volunteer as a math tutor
Volunteering as a math tutor will allow you to practice explaining mathematical concepts and reinforce your own understanding.
Show steps
  • Contact local schools or community centers to inquire about volunteer opportunities.
  • Prepare lesson plans and materials.
  • Tutor students in mathematics, providing support and guidance.

Career center

Learners who complete MathTrackX: Polynomials, Functions and Graphs will develop knowledge and skills that may be useful to these careers:
Teacher - Mathematics
Mathematics Teachers educate students in mathematical concepts and principles. The MathTrackX: Polynomials, Functions and Graphs course will prove useful as it enhances your understanding of the subject matter, and strengthens your ability to convey mathematical concepts clearly and effectively.
Statistician
Statisticians collect, analyze, and interpret data to derive meaningful insights and make informed decisions. The MathTrackX: Polynomials, Functions and Graphs course will be helpful as it provides a strong foundation in statistical concepts and methodologies.
Operations Research Analyst
Operations Research Analysts use mathematical and analytical techniques to solve complex problems in various industries, ranging from supply chain management to healthcare. The MathTrackX: Polynomials, Functions and Graphs course would be helpful as it strengthens the understanding of mathematical principles and problem-solving approaches, which are essential in this role.
Quantitative Analyst
Quantitative Analysts use mathematical and statistical models to analyze financial data and make investment decisions. They leverage their strong foundation in mathematics, statistics, and programming to develop and implement trading strategies. The MathTrackX: Polynomials, Functions and Graphs course provides a solid foundation in the mathematical and analytical skills required for this role.
Risk Analyst
Risk Analysts identify, assess, and manage risks to organizations. They use various mathematical and statistical techniques to quantify and mitigate risks. The MathTrackX: Polynomials, Functions and Graphs course will help build a solid foundation in the mathematical principles and analytical skills needed for this role.
Research Analyst
Research Analysts conduct in-depth research and analysis on various topics, industries, or companies, and provide insights and recommendations to clients. The MathTrackX: Polynomials, Functions and Graphs course will help develop strong analytical and research skills, which are essential for Research Analysts.
Data Scientist
Data Scientists leverage their mastery of advanced statistical modeling, machine learning, and data mining to extract insights from the most complex and varied data sources. The MathTrackX: Polynomials, Functions and Graphs course can help build strong analytical and problem-solving skills for handling complex data and developing data-driven solutions.
Financial Analyst
Financial Analysts research and analyze financial data and trends to make informed investment recommendations. They utilize their understanding of mathematics, statistics, and financial models to assess the performance and risks of various investments. The MathTrackX: Polynomials, Functions and Graphs course can provide a good understanding of the underlying mathematical principles used in financial analysis.
Investment Analyst
Investment Analysts evaluate and make recommendations on investment opportunities, taking into account factors such as market trends, company financials, and economic conditions. The MathTrackX: Polynomials, Functions and Graphs course will help equip you with the mathematical and analytical skills needed to succeed in this role.
Underwriter
Underwriters assess and manage risks associated with insurance policies. The MathTrackX: Polynomials, Functions and Graphs course may be useful as it provides a foundation in the mathematical and statistical concepts used in insurance and risk assessment.
Data Analyst
A Data Analyst examines data from various sources to derive meaningful insights. Data Analysts use various statistical and predictive modeling techniques to detect patterns and trends. The MathTrackX: Polynomials, Functions and Graphs course may be useful as it provides a strong foundation in functions, algebra, and polynomials, which are important concepts in data analysis.
Market Researcher
Market Researchers conduct thorough research to understand consumer behavior, market trends, and industry dynamics, and provide insights for developing marketing strategies. The MathTrackX: Polynomials, Functions and Graphs course may be useful as it can provide a solid foundation in understanding and analyzing data, which are important skills for Market Researchers.
Machine Learning Engineer
Machine Learning Engineers design, develop, and deploy machine learning models to automate complex tasks and drive data-driven decision-making. This course may be useful as it would help build a foundation in the mathematical concepts used in machine learning, such as functions, polynomials, and algebra.
Product Manager
Product Managers are responsible for the development and management of products and services. The MathTrackX: Polynomials, Functions and Graphs course can help Product Managers with a foundation in the mathematical concepts used in product development and optimization.
Software Engineer
Software Engineers design, develop, and maintain software applications. The MathTrackX: Polynomials, Functions and Graphs course may be useful for gaining a better understanding of the mathematical principles and algorithms used in software development.

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 MathTrackX: Polynomials, Functions and Graphs.
Provides a comprehensive overview of precalculus, covering topics such as functions, polynomials, and graphing. It valuable resource for students who want to supplement their understanding of the material covered in the course.
Provides a comprehensive overview of calculus, covering topics such as functions, polynomials, and graphing. It valuable resource for students who want to supplement their understanding of the material covered in the course.
Provides a comprehensive overview of linear algebra, covering topics such as functions, polynomials, and graphing. It valuable resource for students who want to supplement their understanding of the material covered in the course.
Provides a comprehensive overview of real analysis, covering topics such as functions, polynomials, and graphing. It valuable resource for students who want to supplement their understanding of the material covered in the course.
Provides a comprehensive overview of abstract algebra, covering topics such as functions, polynomials, and graphing. It valuable resource for students who want to supplement their understanding of the material covered in the course.
Provides a comprehensive overview of topology, covering topics such as functions, polynomials, and graphing. It valuable resource for students who want to supplement their understanding of the material covered in the course.
Provides a comprehensive overview of number theory, covering topics such as functions, polynomials, and graphing. It valuable resource for students who want to supplement their understanding of the material covered in the course.
Provides a comprehensive overview of algebra, covering topics such as functions, polynomials, and graphing. It valuable resource for students who want to supplement their understanding of the material covered in the course.
Provides a comprehensive overview of calculus, covering topics such as functions, polynomials, and graphing. It valuable resource for students who want to supplement their understanding of the material covered in the course.
Provides a comprehensive overview of linear algebra, covering topics such as functions, polynomials, and graphing. It valuable resource for students who want to supplement their understanding of the material covered in the course.
Provides a comprehensive overview of partial differential equations, covering topics such as functions, polynomials, and graphing. It valuable resource for students who want to supplement their understanding of the material covered in the course.

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