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Antonio José Guirao Sánchez
and
Santiago Moll López
This course is designed as a minimum preparation for the first years of engineering and other studies where mathematics is taught. We will work on:
- The concept of a set and its operations
- Elementary mathematical notation
- The different types of numbers: natural, integers, rational, irrational and real numbers.
- Finally, you will learn the necessary basic concepts of complex numbers.
Read more
This course is designed as a minimum preparation for the first years of engineering and other studies where mathematics is taught. We will work on:
- The concept of a set and its operations
- Elementary mathematical notation
- The different types of numbers: natural, integers, rational, irrational and real numbers.
- Finally, you will learn the necessary basic concepts of complex numbers.
Read more
This course is designed as a minimum preparation for the first years of engineering and other studies where mathematics is taught. We will work on:
- The concept of a set and its operations
- Elementary mathematical notation
- The different types of numbers: natural, integers, rational, irrational and real numbers.
- Finally, you will learn the necessary basic concepts of complex numbers.
What you'll learn
- The concept of a set and its operations
- Elementary mathematical notation
- The different types of numbers: natural, integers, rational, irrational and real numbers
- The necessary basic concepts of complex numbers
Register for this course and see more details by visiting:
OpenCourser.com/course/9uhhc2/math
What's inside
Learning objectives
- The concept of a set and its operations
- Elementary mathematical notation
- The different types of numbers: natural, integers, rational, irrational and real numbers
- The necessary basic concepts of complex numbers
- The concept of a set and its operations
- Elementary mathematical notation
- The different types of numbers: natural, integers, rational, irrational and real numbers
- The necessary basic concepts of complex numbers
Good to know
Good to know
Know what's good ,
what to watch for , and
possible dealbreakers
Explores the fundamental building blocks of mathematics, establishing a strong foundation for further studies in engineering and related fields
Introduces a variety of mathematical concepts, suitable for learners with diverse backgrounds and interests
Taught by experienced instructors who specialize in mathematics education
Provides a comprehensive overview of the basics of mathematics, covering essential topics for early undergraduate study
May require additional resources or supplemental learning for learners who need a more in-depth understanding of certain topics
Assumes no prior knowledge of mathematics beyond basic arithmetic, making it accessible to learners with diverse backgrounds
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Save Math Fundamentals: Numbers and Terminology to your list so you can find it easily later:
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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 Math Fundamentals: Numbers and Terminology with these
activities:
Review basic mathematics
Show steps
Revisiting basic mathematical concepts will provide a solid foundation for this engineering course.
Browse courses on
Mathematics
Show steps
-
Go over notes or textbooks from previous math courses.
-
Take practice quizzes or tests to assess understanding.
-
Seek help from a tutor or online resources if needed.
Seek guidance from a math tutor or professor
Show steps
Consulting with a math tutor or professor can provide personalized support and address specific areas of difficulty.
Browse courses on
Mentorship
Show steps
-
Identify a math tutor or professor with relevant expertise.
-
Schedule regular meetings to discuss concepts and problem-solving.
-
Prepare specific questions or topics to cover during sessions.
Explore Khan Academy modules
Show steps
Using Khan Academy's interactive modules can reinforce mathematical concepts and provide additional practice.
Show steps
-
Identify relevant modules aligned with course topics.
-
Watch videos, complete exercises, and track progress.
-
Seek clarification from online forums or instructors if needed.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Join a math study group
Show steps
Collaborating with peers in a study group can provide support, different perspectives, and improved understanding.
Show steps
-
Find or form a study group with classmates.
-
Establish regular meeting times and locations.
-
Take turns presenting concepts, solving problems, and asking questions.
Solve practice problems
Show steps
Regular practice with problem-solving will enhance understanding and foster critical thinking skills.
Browse courses on
Problem Solving
Show steps
-
Find practice problems in textbooks or online sources.
-
Set aside dedicated time for problem-solving sessions.
-
Work through problems step-by-step, showing all calculations.
-
Check answers and identify areas for improvement.
Read 'Mathematics for Engineers' by W. Bolton
Show steps
This book provides a comprehensive overview of mathematical concepts relevant to engineering studies.
View
Differentiation and Integration (500 Tips)
on Amazon
Show steps
-
Read and understand each chapter thoroughly.
-
Complete practice exercises to reinforce comprehension.
-
Summarize key concepts and formulas for future reference.
Create a mathematics study guide
Show steps
Creating a comprehensive study guide will consolidate knowledge and provide a valuable reference tool.
Browse courses on
Study Guide
Show steps
-
Gather notes, handouts, and practice problems.
-
Organize materials by topic or concept.
-
Summarize key points and include worked examples.
-
Review and update the study guide regularly.
Contribute to open-source math projects
Show steps
Participating in open-source projects can enhance problem-solving skills and foster innovation.
Browse courses on
Open Source
Show steps
-
Identify open-source math projects on platforms like GitHub.
-
Review project documentation and identify areas to contribute.
-
Submit code contributions, bug reports, or documentation improvements.
Review basic mathematics
Show steps
Revisiting basic mathematical concepts will provide a solid foundation for this engineering course.
Browse courses on
Mathematics
Show steps
Show steps
Show steps
- Go over notes or textbooks from previous math courses.
- Take practice quizzes or tests to assess understanding.
- Seek help from a tutor or online resources if needed.
Seek guidance from a math tutor or professor
Show steps
Consulting with a math tutor or professor can provide personalized support and address specific areas of difficulty.
Browse courses on
Mentorship
Show steps
Show steps
Show steps
- Identify a math tutor or professor with relevant expertise.
- Schedule regular meetings to discuss concepts and problem-solving.
- Prepare specific questions or topics to cover during sessions.
Explore Khan Academy modules
Show steps
Using Khan Academy's interactive modules can reinforce mathematical concepts and provide additional practice.
Show steps
Show steps
Show steps
- Identify relevant modules aligned with course topics.
- Watch videos, complete exercises, and track progress.
- Seek clarification from online forums or instructors if needed.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Join a math study group
Show steps
Collaborating with peers in a study group can provide support, different perspectives, and improved understanding.
Show steps
Show steps
Show steps
- Find or form a study group with classmates.
- Establish regular meeting times and locations.
- Take turns presenting concepts, solving problems, and asking questions.
Solve practice problems
Show steps
Regular practice with problem-solving will enhance understanding and foster critical thinking skills.
Browse courses on
Problem Solving
Show steps
Show steps
Show steps
- Find practice problems in textbooks or online sources.
- Set aside dedicated time for problem-solving sessions.
- Work through problems step-by-step, showing all calculations.
- Check answers and identify areas for improvement.
Read 'Mathematics for Engineers' by W. Bolton
Show steps
This book provides a comprehensive overview of mathematical concepts relevant to engineering studies.
View
Differentiation and Integration (500 Tips)
on Amazon
Show steps
Show steps
Show steps
- Read and understand each chapter thoroughly.
- Complete practice exercises to reinforce comprehension.
- Summarize key concepts and formulas for future reference.
Create a mathematics study guide
Show steps
Creating a comprehensive study guide will consolidate knowledge and provide a valuable reference tool.
Browse courses on
Study Guide
Show steps
Show steps
Show steps
- Gather notes, handouts, and practice problems.
- Organize materials by topic or concept.
- Summarize key points and include worked examples.
- Review and update the study guide regularly.
Contribute to open-source math projects
Show steps
Participating in open-source projects can enhance problem-solving skills and foster innovation.
Browse courses on
Open Source
Show steps
Show steps
Show steps
- Identify open-source math projects on platforms like GitHub.
- Review project documentation and identify areas to contribute.
- Submit code contributions, bug reports, or documentation improvements.
Career center
Learners who complete Math Fundamentals: Numbers and Terminology will develop knowledge and skills
that may be useful to these careers:
Mathematician
Mathematician
Mathematicians use their skills in mathematics, statistics, and computer programming to solve complex problems. They typically have a bachelor's degree in mathematics or a related field. A strong foundation in basic mathematics is essential for success in this field. This course may provide you with the essential mathematical concepts you need to begin your journey towards becoming a Mathematician.
Engineer
Engineer
Engineers use their skills in mathematics, statistics, and computer programming to design, build, and maintain structures, machines, and systems. They typically have a bachelor's degree in engineering or a related field. A strong foundation in basic mathematics is essential for success in this field. This course may provide you with the essential mathematical concepts you need to begin your journey towards becoming an Engineer.
Physicist
Physicist
Physicists use their skills in mathematics, statistics, and computer programming to understand the fundamental laws of nature. They typically have a bachelor's degree in physics or a related field. A strong foundation in basic mathematics is essential for success in this field. This course may provide you with the essential mathematical concepts you need to begin your journey towards becoming a Physicist.
Statistician
Statistician
Statisticians collect, analyze, and interpret data to help businesses and organizations make informed decisions. They use their skills in mathematics, statistics, and computer programming to extract meaningful insights from data. Statisticians typically have a bachelor's degree in statistics, mathematics, or a related field. A strong foundation in basic mathematics is essential for success in this field. This course may provide you with the essential mathematical concepts you need to begin your journey towards becoming a Statistician.
Software Engineer
Software Engineer
Software Engineers design, develop, and maintain software applications. They use their skills in mathematics, computer science, and engineering to create software that meets the needs of users. Software Engineers typically have a bachelor's degree in computer science or a related field. A strong foundation in basic mathematics is essential for success in this field. This course may provide you with the essential mathematical concepts you need to begin your journey towards becoming a Software Engineer.
Data Analyst
Data Analyst
Data Analysts collect, analyze, and interpret data to help businesses make informed decisions. They use their skills in mathematics, statistics, and computer programming to extract meaningful insights from data. Data Analysts typically have a bachelor's degree in a field such as mathematics, statistics, computer science, or business. A strong foundation in basic mathematics is essential for success in this field. This course may provide you with the essential mathematical concepts you need to begin your journey towards becoming a Data Analyst.
Data Scientist
Data Scientist
Data Scientists use their skills in mathematics, statistics, and computer programming to extract meaningful insights from data. They typically have a bachelor's degree in a field such as mathematics, statistics, computer science, or business. A strong foundation in basic mathematics is essential for success in this field. This course may provide you with the essential mathematical concepts you need to begin your journey towards becoming a Data Scientist.
Economist
Economist
Economists use their skills in mathematics, statistics, and computer programming to analyze economic data and make recommendations for policy. They typically have a bachelor's degree in economics or a related field. A strong foundation in basic mathematics is essential for success in this field. This course may provide you with the essential mathematical concepts you need to begin your journey towards becoming an Economist.
Teacher
Teacher
Teachers develop and deliver lesson plans, and teach classes to students in a variety of academic subjects. Some teachers work with students of a particular age group or grade level, and others may teach a particular subject. Teachers typically need a bachelor's degree in education or a related field. A strong foundation in basic mathematics is essential for success in this field. This course can help you build a foundation in the mathematical concepts you will need to teach your students.
Quantitative Analyst
Quantitative Analyst
Quantitative Analysts use mathematical and statistical models to analyze financial data and make investment decisions. They typically have a bachelor's degree in mathematics, statistics, or a related field. A strong foundation in basic mathematics is essential for success in this field. This course may provide you with the essential mathematical concepts you need to begin your journey towards becoming a Quantitative Analyst.
Business Analyst
Business Analyst
Business Analysts use their skills in mathematics, statistics, and computer programming to analyze business data and make recommendations for improvement. They typically have a bachelor's degree in business, economics, or a related field. A strong foundation in basic mathematics is essential for success in this field. This course may provide you with the essential mathematical concepts you need to begin your journey towards becoming a Business Analyst.
Operations Research Analyst
Operations Research Analyst
Operations Research Analysts use mathematical and analytical methods to help businesses and organizations make informed decisions. They use their skills in mathematics, statistics, and computer programming to develop and implement solutions to complex problems. Operations Research Analysts typically have a bachelor's degree in operations research, mathematics, or a related field. A strong foundation in basic mathematics is essential for success in this field. This course may provide you with the essential mathematical concepts you need to begin your journey towards becoming an Operations Research Analyst.
Financial Risk Manager
Financial Risk Manager
Financial Risk Managers use their skills in mathematics, statistics, and computer programming to assess and manage financial risk. They typically have a bachelor's degree in finance, economics, or a related field. A strong foundation in basic mathematics is essential for success in this field. This course may provide you with the essential mathematical concepts you need to begin your journey towards becoming a Financial Risk Manager.
Financial Analyst
Financial Analyst
Financial Analysts apply mathematical and statistical methods to analyze and interpret financial data. They use their findings to make recommendations on investments and other financial decisions. Financial Analysts typically have a bachelor's degree in finance, economics, or mathematics. A strong foundation in basic mathematics is essential for success in this field. This course may provide you with the essential mathematical concepts you need to begin your journey towards becoming a Financial Analyst.
Actuary
Actuary
Actuaries analyze the financial implications of risk and uncertainty. They use their knowledge of mathematics and statistics to assess the likelihood of future events and to develop plans to mitigate risk. Actuaries help to develop and manage retirement plans, insurance plans, and other financial products and services. Most Actuaries have a bachelor's degree in mathematics, statistics, or economics. A strong foundation in basic mathematics is critical to success in this field. This course may provide you with the essential mathematical concepts you need to begin your journey towards becoming an Actuary.
For more career information including salaries, visit:
OpenCourser.com/course/9uhhc2/math
Reading list
We've selected 24 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
Math Fundamentals: Numbers and Terminology.
Save
This classic text provides an excellent introduction to the concepts of set theory, logic, and mathematical proof. It is written in a clear and concise style, and it includes numerous examples and exercises.
This comprehensive textbook covers a wide range of topics in number theory, including elementary number theory, algebraic number theory, and analytic number theory. It is well-written and accessible to students with a strong background in mathematics.
Save
This comprehensive textbook covers a wide range of topics in abstract algebra, including group theory, ring theory, and field theory. It is well-written and accessible to students with a strong background in mathematics.
Save
This comprehensive textbook on real analysis that covers a wide range of topics, from the basics of calculus to measure theory and functional analysis. It is well-written and accessible to students with a strong background in mathematics.
This comprehensive textbook on partial differential equations is well-written and accessible to students with a strong background in mathematics. It covers a wide range of topics, from the basics of PDEs to applications in engineering and physics.
This comprehensive textbook on probability and statistics is well-written and accessible to students with a strong background in mathematics. It covers a wide range of topics, from the basics of probability and statistics to applications in engineering and the sciences.
Provides a comprehensive overview of the foundations of mathematics, including sets, operations on sets, elementary mathematical notation, and the different types of numbers.
Provides a comprehensive overview of the mathematical concepts that are essential for engineering students, including sets, operations on sets, elementary mathematical notation, and the different types of numbers.
Save
This classic textbook on numerical analysis is well-written and accessible to students with a strong background in mathematics. It covers a wide range of topics, from the basics of numerical analysis to applications in engineering and physics.
This classic textbook on mathematical statistics is well-written and accessible to students with a strong background in mathematics. It covers a wide range of topics, from the basics of statistics to applications in engineering and the sciences.
This classic textbook on topology is well-written and accessible to students with a strong background in mathematics. It covers a wide range of topics, from elementary topology to algebraic topology.
This classic textbook on complex variables is well-written and accessible to students with a strong background in mathematics. It covers a wide range of topics, from the basics of complex analysis to applications in engineering and physics.
This comprehensive textbook covers a wide range of topics in mathematical logic, including set theory, model theory, and proof theory. It is well-written and accessible to students with a strong background in mathematics.
Provides a comprehensive overview of the discrete mathematics concepts that are essential for computer science students, including sets, operations on sets, elementary mathematical notation, and the different types of numbers.
This classic textbook on algebra that covers a wide range of topics, from elementary algebra to group theory and ring theory. It is well-written and accessible to students with a strong background in mathematics.
Provides a comprehensive overview of the discrete mathematics concepts that are essential for computer science students, including sets, operations on sets, elementary mathematical notation, and the different types of numbers.
Save
Provides a comprehensive overview of the history of mathematics, including the development of sets, operations on sets, elementary mathematical notation, and the different types of numbers.
Provides a comprehensive overview of the algebra and trigonometry concepts that are essential for college students, including sets, operations on sets, elementary mathematical notation, and the different types of numbers.
Provides a clear and concise introduction to the fundamental concepts of number theory. It is well-suited for students with a strong background in algebra.
Save
Provides a comprehensive overview of the history of mathematics, including the development of sets, operations on sets, elementary mathematical notation, and the different types of numbers.
Provides a comprehensive overview of the elementary algebra concepts that are essential for college students, including sets, operations on sets, elementary mathematical notation, and the different types of numbers.
Provides a comprehensive overview of the history of mathematics, including the development of sets, operations on sets, elementary mathematical notation, and the different types of numbers.
Provides a comprehensive overview of the geometry concepts that are essential for college students, including sets, operations on sets, elementary mathematical notation, and the different types of numbers.
Provides a comprehensive overview of the trigonometry concepts that are essential for college students, including sets, operations on sets, elementary mathematical notation, and the different types of numbers.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/9uhhc2/math
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Effort
3 to 4 hours per week for 4 weeks
Level
Elementary
Via
edX
Institution
Universitat Politècnica de València
Instructors
Antonio José Guirao Sánchez
Santiago Moll López
Language
English
Transcript
English
Good to know
Explores the fundamental building blocks of mathematics, establishing a strong foundation for further studies in engineering and related fields
Introduces a variety of mathematical concepts, suitable for learners with diverse backgrounds and interests
Taught by experienced instructors who specialize in mathematics education
Provides a comprehensive overview of the basics of mathematics, covering essential topics for early undergraduate study
May require additional resources or supplemental learning for learners who need a more in-depth understanding of certain topics
Assumes no prior knowledge of mathematics beyond basic arithmetic, making it accessible to learners with diverse backgrounds
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