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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.
What you'll learn
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.
Register for this course and see more details by visiting:
OpenCourser.com/course/8hcai2/maths
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Develops a solid foundation in math skills, which is essential for success in many fields
Helps students bridge the gap between high school and university-level math
Covers a wide range of math topics, including algebra, geometry, and calculus
Led by an experienced instructor with a strong reputation in the field
Offers a flexible learning format that accommodates busy schedules
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Reviews summary
Solid math foundations for diverse learners
According to students, "Maths Foundations" provides a strong base in fundamental mathematics, proving highly beneficial for both school leavers transitioning to higher education and professionals seeking to refresh their skills. Learners frequently commend the clear and logical presentation of material and the effective practice problems that aid understanding. While many find the lectures to be engaging and the instructor knowledgeable, some learners with prior knowledge found the pace slow at times. Conversely, a few absolute beginners desired more intermediate steps. The course is noted for its ability to build confidence and successfully prepare students for more advanced programs like MathTrackX.
Provides solid basics, but some found it lacked advanced depth.
"It covers the basics, but I felt it was a bit too superficial in some areas."
"The content was too thin for my needs, and I felt I didn't gain much new insight."
"A solid course for basic math concepts."
Pacing can be too slow for some, or too fast for others, depending on background.
"The pace felt a bit slow for someone like me who just needed a quick brush-up."
"If you truly have zero background, it might be good, but for a quick refresh, it was a bit drawn out."
"I struggled with this course... felt some jumps in difficulty without enough intermediate steps."
"If you are starting from scratch, it might still be a bit fast-paced."
Explanations are clear, and practice problems enhance learning.
"The lectures were clear and concise, and the practice problems really solidified my understanding."
"The videos were engaging, and the exercises were well-designed."
"The material is presented logically, and the practice problems are ample."
"The instructor explained complex topics in a very approachable way."
Effectively builds core mathematical understanding for diverse learners.
"This course was an excellent refresher for me... Highly recommend for anyone needing to build a strong foundation."
"As a school leaver, this course was exactly what I needed to prepare for university. It built my confidence..."
"Fantastic course for building a base in math! I successfully moved on to MathTrackX with ease..."
"It definitely covered all the basics needed for future studies."
Some felt the course lacked sufficient internal support or updated production.
"I needed to find external resources to understand certain concepts fully. Expected more support."
"Forum activity was low."
"The production quality of some videos seemed dated compared to other online courses."
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:
Review basic algebra skills
Show steps
Ensure a strong foundation in algebra to support your learning.
Show steps
-
Review notes or textbooks on basic algebra concepts.
-
Solve practice problems to refresh your skills.
-
Take a practice quiz to assess your understanding.
Review 'Mathematics for Beginners' by Carl Zimmer
Show steps
Establish a solid foundation in basic mathematical concepts by reading a comprehensive introductory textbook.
View
Science Ink: Tattoos of the Science Obsessed
on Amazon
Show steps
-
Read each chapter thoroughly and take notes on the key concepts.
-
Solve the practice problems at the end of each chapter.
-
Complete the review questions at the end of each section to test your understanding.
Organize and review course materials
Show steps
Establish a structured approach to your learning by organizing and reviewing course materials effectively.
Show steps
-
Gather all course materials, including notes, assignments, quizzes, and exams.
-
Create a system to organize and categorize the materials.
-
Regularly review the organized materials to reinforce your understanding.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Watch video tutorials on key math concepts
Show steps
Review key mathematical concepts through engaging video tutorials.
Browse courses on
Natural Numbers
Show steps
-
Search for video tutorials on the specific math concept you want to learn.
-
Watch the tutorial and take notes on the key points.
-
Pause the video and try to solve any practice problems that are presented.
Solve practice drill problems
Show steps
Practice solving math problems to reinforce your understanding of basic mathematical operations and concepts.
Browse courses on
Natural Numbers
Show steps
-
Identify the type of problem you're solving (e.g., addition, subtraction, multiplication, division, equation, inequality).
-
Apply the appropriate mathematical operations to solve the problem.
-
Check your answer to ensure accuracy.
Join a study group with classmates
Show steps
Collaborate with peers to discuss math concepts, solve problems, and reinforce your learning.
Show steps
-
Form a study group with classmates who have similar learning goals.
-
Meet regularly to discuss course material, work on assignments together, and quiz each other.
-
Take turns leading the study sessions and presenting concepts to the group.
Create a math concept poster
Show steps
Solidify your understanding by creating a visual representation of a key math concept.
Browse courses on
Natural Numbers
Show steps
-
Choose a specific math concept to focus on.
-
Gather information and resources on the concept.
-
Design and create a poster that clearly explains the concept, using visuals, diagrams, and examples.
Develop a math problem-solving strategy guide
Show steps
Enhance your problem-solving skills by creating a comprehensive guide that outlines effective strategies.
Show steps
-
Identify the different types of math problems commonly encountered.
-
Research and analyze various problem-solving techniques.
-
Develop a step-by-step guide that explains each technique clearly and provides examples.
Review basic algebra skills
Show steps
Ensure a strong foundation in algebra to support your learning.
Show steps
Show steps
Show steps
- Review notes or textbooks on basic algebra concepts.
- Solve practice problems to refresh your skills.
- Take a practice quiz to assess your understanding.
Review 'Mathematics for Beginners' by Carl Zimmer
Show steps
Establish a solid foundation in basic mathematical concepts by reading a comprehensive introductory textbook.
View
Science Ink: Tattoos of the Science Obsessed
on Amazon
Show steps
Show steps
Show steps
- Read each chapter thoroughly and take notes on the key concepts.
- Solve the practice problems at the end of each chapter.
- Complete the review questions at the end of each section to test your understanding.
Organize and review course materials
Show steps
Establish a structured approach to your learning by organizing and reviewing course materials effectively.
Show steps
Show steps
Show steps
- Gather all course materials, including notes, assignments, quizzes, and exams.
- Create a system to organize and categorize the materials.
- Regularly review the organized materials to reinforce your understanding.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Watch video tutorials on key math concepts
Show steps
Review key mathematical concepts through engaging video tutorials.
Browse courses on
Natural Numbers
Show steps
Show steps
Show steps
- Search for video tutorials on the specific math concept you want to learn.
- Watch the tutorial and take notes on the key points.
- Pause the video and try to solve any practice problems that are presented.
Solve practice drill problems
Show steps
Practice solving math problems to reinforce your understanding of basic mathematical operations and concepts.
Browse courses on
Natural Numbers
Show steps
Show steps
Show steps
- Identify the type of problem you're solving (e.g., addition, subtraction, multiplication, division, equation, inequality).
- Apply the appropriate mathematical operations to solve the problem.
- Check your answer to ensure accuracy.
Join a study group with classmates
Show steps
Collaborate with peers to discuss math concepts, solve problems, and reinforce your learning.
Show steps
Show steps
Show steps
- Form a study group with classmates who have similar learning goals.
- Meet regularly to discuss course material, work on assignments together, and quiz each other.
- Take turns leading the study sessions and presenting concepts to the group.
Create a math concept poster
Show steps
Solidify your understanding by creating a visual representation of a key math concept.
Browse courses on
Natural Numbers
Show steps
Show steps
Show steps
- Choose a specific math concept to focus on.
- Gather information and resources on the concept.
- Design and create a poster that clearly explains the concept, using visuals, diagrams, and examples.
Develop a math problem-solving strategy guide
Show steps
Enhance your problem-solving skills by creating a comprehensive guide that outlines effective strategies.
Show steps
Show steps
Show steps
- Identify the different types of math problems commonly encountered.
- Research and analyze various problem-solving techniques.
- Develop a step-by-step guide that explains each technique clearly and provides examples.
Career center
Learners who complete Maths Foundations will develop knowledge and skills
that may be useful to these careers:
Financial Analyst
Financial Analyst
Financial Analysts spend their days interpreting financial data to inform better decision-making. This course, Maths Foundations, helps build a strong foundation in mathematical operations and problem-solving skills, providing a solid base for advanced financial analysis. By equipping learners with a strong understanding of numbers and algebraic rules, this course prepares them to excel in the data-driven environment of financial analysis.
Operations Research Analyst
Operations Research Analyst
Operations Research Analysts use mathematical and analytical techniques to optimize processes and improve efficiency in various industries. Maths Foundations provides a solid foundation in mathematical principles and problem-solving, equipping learners with the essential skills for applying mathematical models and algorithms to real-world operational challenges. The course's focus on rates of change and measurement enhances their ability to analyze and improve system performance.
Data Scientist
Data Scientist
Data Scientists leverage mathematical and computational skills to extract insights from vast amounts of data. Maths Foundations helps build a strong mathematical foundation, providing a solid base for understanding data structures, algorithms, and statistical techniques. The course's emphasis on numbers, algebraic rules, and problem-solving enhances their ability to analyze and interpret complex datasets, making them valuable assets in the data science field.
Business Analyst
Business Analyst
Business Analysts use data and analytical techniques to identify and solve business problems. Maths Foundations provides a strong foundation in mathematical concepts and problem-solving, equipping learners with the skills to analyze business scenarios, quantify data, and develop data-driven solutions. The course's focus on communication skills also prepares them to effectively convey their findings to stakeholders.
Software Engineer
Software Engineer
Software Engineers apply mathematical and logical principles to design, develop, and maintain software systems. Maths Foundations provides a solid base in mathematical operations and problem-solving, enhancing their ability to understand complex algorithms and data structures. The course's emphasis on precision and attention to detail prepares them for the rigors of software development, where precision and accuracy are paramount.
Actuary
Actuary
Actuaries use mathematical and statistical techniques to assess and manage financial risks. Maths Foundations provides a strong foundation in mathematical operations and problem-solving, equipping learners with the skills to analyze financial data, develop models, and assess risks. The course's focus on probability and statistics enhances their ability to quantify and manage uncertainties, making them valuable assets in the insurance and financial industries.
Quantitative Analyst
Quantitative Analyst
Quantitative Analysts use mathematical and statistical models to analyze financial markets and make investment decisions. Maths Foundations provides a solid base in mathematical concepts and problem-solving, equipping learners with the skills to develop and apply quantitative models. The course's emphasis on data analysis and interpretation prepares them to handle complex financial data and make informed investment recommendations.
Market Research Analyst
Market Research Analyst
Market Research Analysts use data and analytical techniques to understand market trends and consumer behavior. Maths Foundations provides a strong foundation in mathematical principles and problem-solving, equipping learners with the skills to analyze market data, identify patterns, and develop insights. The course's focus on communication skills also prepares them to effectively convey their findings to stakeholders.
Statistician
Statistician
Statisticians use mathematical and statistical techniques to collect, analyze, and interpret data. Maths Foundations provides a solid base in mathematical operations and problem-solving, equipping learners with the skills to design experiments, collect data, and draw meaningful conclusions. The course's emphasis on probability and statistics prepares them for advanced statistical analysis and modeling, making them valuable assets in various fields.
Economist
Economist
Economists use mathematical and analytical techniques to study economic systems and make policy recommendations. Maths Foundations provides a strong foundation in mathematical concepts and problem-solving, equipping learners with the skills to analyze economic data, develop models, and assess policies. The course's focus on rates of change and measurement enhances their ability to understand economic trends and make informed recommendations.
Financial Risk Manager
Financial Risk Manager
Financial Risk Managers use mathematical and statistical techniques to assess and manage financial risks. Maths Foundations provides a strong foundation in mathematical operations and problem-solving, equipping learners with the skills to analyze financial data, develop models, and assess risks. The course's focus on probability and statistics enhances their ability to quantify and manage uncertainties, making them valuable assets in the financial industry.
Investment Analyst
Investment Analyst
Investment Analysts use mathematical and financial techniques to evaluate investment opportunities. Maths Foundations provides a solid base in mathematical operations and problem-solving, equipping learners with the skills to analyze financial data, develop models, and make investment recommendations. The course's focus on rates of change and measurement enhances their ability to understand market trends and make informed investment decisions.
Teacher
Teacher
Teachers use mathematical principles and problem-solving skills to educate students in mathematics. Maths Foundations provides a strong base in mathematical operations and problem-solving, equipping learners with the skills to effectively teach mathematical concepts to students. The course's emphasis on communication and clarity prepares them for the challenges of conveying complex mathematical ideas in an engaging and accessible manner.
Tutor
Tutor
Tutors provide individualized instruction and support to students in mathematics. Maths Foundations provides a strong base in mathematical operations and problem-solving, equipping learners with the skills to effectively tutor students in mathematical concepts. The course's emphasis on communication and clarity prepares them for the challenges of conveying complex mathematical ideas in a personalized and supportive manner.
Consultant
Consultant
Consultants provide expert advice and guidance to organizations on various topics, including mathematics and data analysis. Maths Foundations provides a solid base in mathematical concepts and problem-solving, equipping learners with the skills to analyze complex business scenarios, develop data-driven solutions, and communicate their findings effectively. The course's focus on communication and teamwork prepares them for the collaborative and client-facing nature of consulting.
For more career information including salaries, visit:
OpenCourser.com/course/8hcai2/maths
Reading list
We've selected 12 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.
Is commonly used as a textbook at academic institutions and by industry professionals as it provides great background and prerequisite knowledge for Maths Foundations.
Save
Classic textbook on abstract algebra and helpful reference for more advanced topics. The difficulty level is higher, but the fit is good.
Is commonly used as a textbook in discrete mathematics courses and is helpful as a reference for more advanced topics. The difficulty level is higher, but the fit is good.
Save
Classic textbook on real analysis and helpful reference for more advanced topics. The difficulty level is higher, but the fit is good.
Provides a solid introduction to number theory, which is not covered in Maths Foundations. It can be used for additional reading and as a reference.
Is more valuable as additional reading than it is as a current reference as it dives deep into set theory, which is beyond the scope of Maths Foundations.
Is an introduction to probability and random processes, which is not covered in Maths Foundations. It can be used for additional reading and as a reference.
Is an introduction to complex variables, which is not covered in Maths Foundations. It can be used for additional reading and as a reference.
Adds more breadth to the course as it provides an introduction to linear algebra, which is not covered in Maths Foundations.
Save
Is an introduction to numerical analysis, which is not covered in Maths Foundations. It can be used for additional reading and as a reference.
Is an introduction to topology, which is not covered in Maths Foundations. It can be used for additional reading and as a reference.
Is used a lot in Calculus courses, which builds upon many of the concepts from Maths Foundations, and can be used for additional reading or reference.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/8hcai2/maths
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