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Bases Matemáticas

Números y terminología

Antonio José Guirao Sánchez and Santiago Moll López

This course is conceived as a minimum preparation necessary for the first engineering courses and other studies in which mathematics is taught. We will work on it:

The concept of a set and its operations
Elementary mathematical notation
The different types of numbers: natural, integers, rational, irrational and real
Finally you will learn the necessary basic concepts about 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
The necessary basic concepts about complex numbers

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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
The necessary basic concepts about complex numbers

The concept of a set and its operations
Elementary mathematical notation
The different types of numbers: natural, integers, rational, irrational and real
The necessary basic concepts about complex numbers

Good to know

Know what's good

, what to watch for

, and possible dealbreakers

Complements degree studies in engineering and other programs that include mathematics

May be suitable for high school seniors planning to study engineering college programs

Suitable for professionals who need to review or learn essential mathematical concepts

May be suitable for students with basic or limited mathematical knowledge

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Reviews summary

Matemáticas básicas para ingeniería

Este curso es una excelente revisión de conceptos matemáticos básicos para estudiantes de ingeniería. Cubre temas esenciales desde conjuntos y notación hasta tipos de números y números complejos. Los instructores son claros y los ejercicios son útiles para reforzar el aprendizaje.

Los ejercicios y exámenes ayudan a reforzar el aprendizaje.

"Los ejercicios planteados en la plataforma tanto como los que presentan los profesores, son muy útiles para asentar lo que se aprende"

Los conceptos se explican de forma clara y concisa.

"Los profesores explican muy bien"

Algunos estudiantes pueden desear ejercicios y exámenes más desafiantes.

"Quizás se echa en falta un poco mas de dificultad en los ejercicios y exámenes"

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 Bases Matemáticas: Números y terminología with these activities:

Review set theory and operations

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Complete a comprehensive review of set theory fundamentals and operations, including union, intersection, complement, and Cartesian product.

Browse courses on Set Theory

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Read textbook chapters on set theory
Solve practice problems on set operations

Participate in online study groups

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Join online study groups to engage with peers, discuss course material, and clarify concepts through collaborative learning.

Browse courses on Collaboration

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Find a study group or create your own
Meet regularly to discuss course topics
Work together on assignments and problem-solving

Start a personal project to practice mathematical concepts

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Start a project that requires you to apply mathematical concepts to solve real-world problems. This will help you develop a deeper understanding of the concepts and how they are used in practice.

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Identify a problem that you can solve using mathematical concepts.
Research the mathematical concepts that you will need to use.
Develop a plan for solving the problem.
Implement your plan and solve the problem.
Evaluate your solution and make any necessary improvements.

One other activity

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Show all four activities

Practice solving equations with complex numbers

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Engage in regular practice solving equations involving complex numbers to improve proficiency and build confidence.

Browse courses on Complex Numbers

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Work through online practice problems
Complete timed quizzes to simulate exam conditions

Career center

Learners who complete Bases Matemáticas: Números y terminología will develop knowledge and skills that may be useful to these careers:

Teacher

Teachers help students gain a comprehensive foundation in mathematics and other subjects. This course will help you learn about the concept of sets and its operations, elementary mathematical notation, as well as the different types of numbers, including natural, integers, rational, irrational, real, and complex numbers. This background will jumpstart your career as you facilitate math instruction and propel your students' academic journeys.

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Data Analyst

Data analysts collect and analyze complex sets of data to drive decision-making. This course can enhance your ability to understand the mathematical foundations of data analysis. You will delve into concepts like sets, elementary mathematical notation, and various types of numbers, including real and complex numbers. These concepts are vital for comprehending and manipulating data effectively.

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Software Engineer

Software Engineers design and develop complex software systems. This course will equip you with the essential mathematical foundations for computer science and software development. You will learn about sets, elementary mathematical notation, and different types of numbers, including real and complex numbers. These concepts will prove invaluable as you create and troubleshoot software systems.

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Financial Analyst

Financial analysts assist in making informed investment decisions. This course will introduce you to the mathematical concepts that underpin financial modeling and analysis. You will learn about sets, elementary mathematical notation, different types of numbers, including real and complex numbers, and their applications in finance.

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Quantitative Analyst

Quantitative analysts use mathematical and statistical models to assess risk and make investment decisions. This course provides the foundation in mathematics necessary for this role. You will gain an understanding of sets, elementary mathematical notation, and various types of numbers, including real and complex numbers. This knowledge will empower you to develop and analyze quantitative models.

See salaries and explore the career path for Quantitative Analyst

Mathematician

Mathematicians develop and apply mathematical theories and techniques to solve complex problems. This course offers a strong foundation in mathematics, covering sets, elementary mathematical notation, and different types of numbers, including real and complex numbers. This knowledge will serve as a springboard for your career in mathematical research and problem-solving.

See salaries and explore the career path for Mathematician

Operations Research Analyst

Operations research analysts use mathematical and analytical techniques to optimize business processes and systems. This course will provide you with a solid foundation in mathematics, including sets, elementary mathematical notation, and different types of numbers, including real and complex numbers. This knowledge will enable you to develop and apply mathematical models to improve operational efficiency.

See salaries and explore the career path for Operations Research Analyst

Statistician

Statisticians collect, analyze, and interpret data to provide insights and make informed decisions. This course will equip you with the mathematical foundations needed for statistical analysis. You will learn about sets, elementary mathematical notation, and different types of numbers, including real and complex numbers. This knowledge will empower you to design and conduct statistical studies effectively.

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Actuary

Actuaries assess risk and develop financial plans to mitigate it. This course will provide you with a solid foundation in mathematics, including sets, elementary mathematical notation, and different types of numbers, including real and complex numbers. This knowledge will help you understand and apply actuarial models to evaluate risk and make sound financial decisions.

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Business Analyst

Business analysts provide insights and recommendations to help businesses make informed decisions. This course will lay the mathematical groundwork necessary for success in business analysis. You will learn about sets, elementary mathematical notation, and different types of numbers, including real and complex numbers. This knowledge will enable you to analyze data, develop models, and communicate findings effectively.

See salaries and explore the career path for Business Analyst

Data Scientist

Data scientists use scientific methods and algorithms to extract knowledge and insights from data. This course provides a strong foundation in mathematics, covering sets, elementary mathematical notation, and different types of numbers, including real and complex numbers. This knowledge will empower you to develop and apply data science techniques effectively.

See salaries and explore the career path for Data Scientist

Risk Analyst

Risk analysts identify, assess, and manage risks within organizations. This course will provide you with a solid foundation in mathematics, including sets, elementary mathematical notation, and different types of numbers, including real and complex numbers. This knowledge will enable you to understand and apply risk management models to mitigate potential threats and protect organizational assets.

See salaries and explore the career path for Risk Analyst

Auditor

Auditors examine financial records to ensure accuracy and compliance with regulations. This course will provide you with a solid foundation in mathematics, including sets, elementary mathematical notation, and different types of numbers, including real and complex numbers. This knowledge will enable you to understand and analyze financial data effectively, ensuring the integrity of financial reporting.

See salaries and explore the career path for Auditor

Investment Banker

Investment bankers provide financial advice and services to corporations and governments. This course will equip you with the mathematical foundations necessary for success in investment banking. You will learn about sets, elementary mathematical notation, and different types of numbers, including real and complex numbers. This knowledge will empower you to analyze financial data, develop models, and make sound investment decisions.

See salaries and explore the career path for Investment Banker

Financial Advisor

Financial advisors provide financial planning and investment advice to individuals and families. This course will provide you with a strong foundation in mathematics, including sets, elementary mathematical notation, and different types of numbers, including real and complex numbers. This knowledge will enable you to understand and analyze financial data effectively, helping you provide tailored financial advice to clients.

See salaries and explore the career path for Financial Advisor

Reading list

We've selected 21 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 Bases Matemáticas: Números y terminología.