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Dr. David Butler
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.
Read more
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.
Read more
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.
Register for this course and see more details by visiting:
OpenCourser.com/course/ajk1y9/maths
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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.
Read more
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.
Read more
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
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
Show steps
Consolidate your learning by organizing your materials, identifying areas for improvement, and preparing for future reference.
Show steps
-
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
Show steps
Connect with other math enthusiasts, learn about industry trends, and expand your professional network.
Browse courses on
Networking
Show steps
-
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
Show steps
Review a foundational resource covering the essential mathematical concepts used in machine learning.
View
Mathematics for Machine Learning
on Amazon
Show steps
-
Read the entire book
-
Summarize each chapter in your own words
Five other activities
Expand to see all activities and additional details
Show all eight activities
Follow tutorials on probability distributions and their applications
Show steps
Expand your knowledge by exploring different probability distributions and their real-world applications.
Browse courses on
Probability Distributions
Show steps
-
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
Show steps
Strengthen your problem-solving skills and gain fluency in applying the quadratic formula.
Browse courses on
Quadratic Equations
Show steps
-
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
Show steps
Apply the concepts of variables, operators, and conditional statements to create a functional program.
Browse courses on
Python
Show steps
-
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
Show steps
Gain practical experience in presenting data effectively, enhancing your communication and presentation skills.
Browse courses on
Data Visualization
Show steps
-
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
Show steps
Reinforce your understanding by explaining the topic to others, promoting active recall and knowledge organization.
Browse courses on
Linear Equations
Show steps
-
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
Organize and review your notes, assignments, and study materials
Show steps
Consolidate your learning by organizing your materials, identifying areas for improvement, and preparing for future reference.
Show steps
Show steps
Show steps
- 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
Show steps
Connect with other math enthusiasts, learn about industry trends, and expand your professional network.
Browse courses on
Networking
Show steps
Show steps
Show steps
- 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
Show steps
Review a foundational resource covering the essential mathematical concepts used in machine learning.
View
Mathematics for Machine Learning
on Amazon
Show steps
Show steps
Show steps
- Read the entire book
- Summarize each chapter in your own words
Five other activities
Expand to see all activities and additional details
Show all eight activities
Follow tutorials on probability distributions and their applications
Show steps
Expand your knowledge by exploring different probability distributions and their real-world applications.
Browse courses on
Probability Distributions
Show steps
Show steps
Show steps
- 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
Show steps
Strengthen your problem-solving skills and gain fluency in applying the quadratic formula.
Browse courses on
Quadratic Equations
Show steps
Show steps
Show steps
- 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
Show steps
Apply the concepts of variables, operators, and conditional statements to create a functional program.
Browse courses on
Python
Show steps
Show steps
Show steps
- 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
Show steps
Gain practical experience in presenting data effectively, enhancing your communication and presentation skills.
Browse courses on
Data Visualization
Show steps
Show steps
Show steps
- 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
Show steps
Reinforce your understanding by explaining the topic to others, promoting active recall and knowledge organization.
Browse courses on
Linear Equations
Show steps
Show steps
Show steps
- 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
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.
Data Scientist
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.
Risk Analyst
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.
Teacher
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.
Management Consultant
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.
Investment Analyst
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.
Business 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.
Financial 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.
Software Engineer
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.
Quantitative Analyst
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.
Actuary
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.
Auditor
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.
Accountant
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.
Statistician
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.
Data Analyst
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.
For more career information including salaries, visit:
OpenCourser.com/course/ajk1y9/maths
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.
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.
Provides a comprehensive overview of precalculus topics, including operations on numbers, solving equations and inequalities, sets in the number line and the coordinate plane, and basic properties of numbers. It good resource for students who are preparing for calculus or other more advanced mathematics courses.
Provides a comprehensive overview of linear algebra topics, including vectors, matrices, and linear transformations. It good resource for students who are preparing for more advanced mathematics courses or for those who need a review of the basics of linear algebra.
Provides a comprehensive overview of college algebra topics, including operations on numbers, solving equations and inequalities, sets in the number line and the coordinate plane, and basic properties of numbers. It good resource for students who are preparing for calculus or other more advanced mathematics courses.
Save
Provides a comprehensive overview of Algebra I topics, including operations on numbers, solving equations and inequalities, sets in the number line and the coordinate plane, and basic properties of numbers. It good resource for students who want to review the basics of algebra or for those who need additional practice with these concepts.
Provides a comprehensive overview of mathematical analysis topics, including real analysis, complex analysis, and functional analysis. It good resource for students who are interested in learning more about mathematical analysis or for those who need a review of the basics.
Save
Provides a comprehensive overview of numerical analysis topics, including interpolation, approximation, and numerical integration. It good resource for students who are interested in learning more about numerical analysis or for those who need a review of the basics.
Save
Provides a comprehensive overview of statistics topics, including probability, inference, and regression. It good resource for students who are interested in learning more about statistics or for those who need a review of the basics.
Provides a comprehensive review of arithmetic operations, including natural numbers, integers, and rational numbers. It covers the basic algebraic rules of numbers and solving linear equations and inequalities. While this book does not directly cover sets in the number line or the coordinate plane, it provides a strong foundation for these topics.
Provides a comprehensive overview of probability topics, including random variables, probability distributions, and statistical inference. It good resource for students who are interested in learning more about probability or for those who need a review of the basics.
Save
Provides a comprehensive overview of geometry topics, including sets in the plane, straight lines, and properties of geometric figures. It good resource for students who want to review the basics of geometry or for those who need additional practice with these concepts.
Provides a comprehensive overview of number theory topics, including prime numbers, modular arithmetic, and Diophantine equations. It good resource for students who are interested in learning more about number theory or for those who need a review of the basics.
Provides a comprehensive overview of abstract algebra topics, including groups, rings, and fields. It good resource for students who are interested in learning more about abstract algebra or for those who need a review of the basics.
Provides a comprehensive overview of topology topics, including sets, continuity, and homeomorphisms. It good resource for students who are interested in learning more about topology or for those who need a review of the basics.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/ajk1y9/maths
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Effort
3 to 12 hours per week for 4 weeks
Level
Introductory
Via
edX
Institution
University of Adelaide
Instructor
Dr. David Butler
Session
April 1, 2024
- April 5, 2027
Language
English
Transcript
English
Good to know
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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