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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:

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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

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
Complete a comprehensive review of set theory fundamentals and operations, including union, intersection, complement, and Cartesian product.
Browse courses on Set Theory
Show steps
  • Read textbook chapters on set theory
  • Solve practice problems on set operations
Participate in online study groups
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
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.
Show steps
  • 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
Engage in regular practice solving equations involving complex numbers to improve proficiency and build confidence.
Browse courses on Complex Numbers
Show steps
  • 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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.

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.
This comprehensive textbook covers the core mathematical concepts for engineering students, including sets, notation, numbers, and complex numbers.
This advanced textbook provides a rigorous introduction to real analysis, which is essential for understanding the foundations of mathematics and its applications in engineering.
This comprehensive textbook offers an introduction to linear algebra, which is essential for understanding many engineering applications.
Este libro es un texto clásico sobre cálculo que proporciona una base sólida en los conceptos básicos del cálculo. Es un recurso valioso para los estudiantes que buscan una comprensión más profunda de este tema.
Este libro es un texto clásico sobre álgebra abstracta que proporciona una base sólida en los conceptos básicos del álgebra abstracta. Es un recurso valioso para los estudiantes que buscan una comprensión más profunda de este tema.
This advanced textbook offers a deeper exploration of mathematical methods used in physics and engineering, building on the core concepts covered in the course.
This textbook covers complex numbers and their applications, providing a deeper understanding of the concepts introduced in the course.
Este libro proporciona una introducción a los conceptos básicos del análisis matemático. Es un recurso valioso para los estudiantes que buscan una comprensión más profunda de este tema.
Este libro proporciona una introducción a los temas avanzados de matemáticas que son esenciales para los estudiantes de ingeniería. Es un recurso valioso para los estudiantes que buscan una comprensión más profunda de estos conceptos.
Este libro proporciona una introducción a los conceptos básicos de la geometría diferencial. Es un recurso valioso para los estudiantes que buscan una comprensión más profunda de este tema.
This foundational text provides a comprehensive treatment of set theory and logic, offering a deeper understanding of the underlying concepts of mathematics.
Este libro proporciona una introducción a los conceptos básicos de los métodos numéricos. Es un recurso valioso para los estudiantes que buscan una comprensión más profunda de este tema.
Este libro proporciona una base sólida en matemáticas básicas, incluidos conjuntos, notación y tipos de números. Es un recurso útil para los estudiantes que necesitan repasar los conceptos básicos antes de tomar este curso.
Este libro avanzado aborda los fundamentos del análisis real, incluyendo la teoría de conjuntos y los números reales. Brinda una perspectiva más profunda sobre estos conceptos esenciales, aunque su nivel de dificultad puede ser adecuado solo para estudiantes avanzados.
Este libro introductorio a la teoría de números cubre los conceptos de divisibilidad, congruencia y teoremas fundamentales. Profundiza en los tipos de números, pero su enfoque en la teoría de números puede ser más relevante para los estudiantes interesados en esa área específica.
Este libro clásico ofrece una visión general de los conceptos matemáticos básicos, incluyendo conjuntos y números. Escrito para lectores no matemáticos, puede ser útil para estudiantes que buscan una comprensión más intuitiva de los fundamentos matemáticos.
Este libro explora el lenguaje y la estructura de las matemáticas, centrándose en la lógica y las pruebas matemáticas. Si bien no cubre directamente los tipos de números, proporciona una base valiosa para comprender la notación y la argumentación matemática.

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