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Claudia Verónica Morales Montaño and María del Carmen Martínez Tapia

En este curso estudiarás las funciones algebraicas y trascendentes desde su definición y notación.

Resolverás problemas de la vida cotidiana que se modelan a través de funciones:

Polinomiales

Racionales

Con Radicales

Exponenciales

Logarítmicas

Trigonométricas

Para las cuales utilizarás conceptos y procedimientos de aritmética, álgebra y trigonometría, así como de la geometría euclidiana y de la analítica.

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En este curso estudiarás las funciones algebraicas y trascendentes desde su definición y notación.

Resolverás problemas de la vida cotidiana que se modelan a través de funciones:

Polinomiales

Racionales

Con Radicales

Exponenciales

Logarítmicas

Trigonométricas

Para las cuales utilizarás conceptos y procedimientos de aritmética, álgebra y trigonometría, así como de la geometría euclidiana y de la analítica.

Utilizarás un Software dinámico (libre) que te apoyará en la exploración de la representación gráfica de la función para comprender las relaciones entre los parámetros de la representación algebraica.

Realizarás generalizaciones para obtener la regla de correspondencia de la función.

Deducirás e inferirás gracias a este estudio apoyado siempre en las tres representaciones:

Tablas numéricas

Gráfica

Expresión algebraica

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What's inside

Syllabus

Función polinomial
Hola, soy el Profesor Ernesto Márquez Fragoso. En este primer módulo abordaremos contenidos generales de las funciones tales como los conceptos de dominio y rango, además de revisar funciones polinomiales de distintos grados: lineal, cuadrática y superior. Aprenderás algunas técnicas exploratorias que te servirán para realizar todos los módulos y participarás en actividades creadas para involucrarte en la reflexión y construcción de tu conocimiento con respecto a este tema. ¡Mucha suerte!
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Traffic lights

Read about what's good
what should give you pause
and possible dealbreakers
Explores functions, which is standard in math curricula
Uses multiple representations to build understandings, which is core to math
Introduces tools that support learning, which can help students in foundational math
Emphasizes exploration, which is key to developing mathematical thinking
Teaches concepts that are foundational across many math disciplines
Could benefit from more hands-on examples to aid beginners

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Reviews summary

Curso fundamental de funciones y cálculo

Según los estudiantes, este curso de Funciones algebraicas y trascendentes es muy completo y bien explicado, proporcionando una base sólida en matemáticas. Los alumnos destacan la claridad de las explicaciones, la didáctica de los instructores y el valor añadido del software dinámico para la visualización gráfica. Es considerado fundamental para comprender el cálculo y muy útil para repasar conceptos previos a cursos avanzados, gracias a su estructura organizada y ejemplos prácticos. La experiencia general es de una preparación excelente para estudios posteriores en matemáticas.
Los instructores son didácticos y el software dinámico es una ayuda valiosa.
"El uso del software dinámico es un gran plus para visualizar las gráficas."
"Los instructores son muy didácticos, lo que hizo que el material fuera fácil de digerir."
"Los ejemplos prácticos que presenta el curso fueron muy útiles para afianzar los conceptos."
Ofrece una base matemática sólida, ideal como requisito o repaso para cálculo.
"Recomiendo encarecidamente para quienes necesiten una base sólida en matemáticas."
"Es fundamental para entender cálculo."
"Lo tomé para repasar conceptos antes de iniciar un curso de cálculo avanzado y me sirvió muchísimo."
El curso se destaca por sus explicaciones claras y su enfoque integral en los temas.
"Un curso muy completo y bien explicado. Me ayudó a comprender a fondo las funciones y sus aplicaciones."
"Excelente curso, la explicación de los temas es muy clara y el uso del software dinámico es un gran plus..."
"La forma en que abordan cada tipo de función es muy estructurada, lo que facilita el aprendizaje."

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 Funciones algebraicas y trascendentes with these activities:
Explorar tutoriales en línea sobre Derivadas e Integrales
Amplía tus conocimientos sobre funciones y sus aplicaciones mediante la exploración de tutoriales en línea sobre derivadas e integrales.
Show steps
  • Busca tutoriales en línea sobre derivadas e integrales.
  • Sigue los tutoriales y completa los ejercicios de práctica.
  • Aplica tus nuevos conocimientos a problemas del mundo real.
Show all one activities

Career center

Learners who complete Funciones algebraicas y trascendentes will develop knowledge and skills that may be useful to these careers:
Machine Learning Engineer
Machine Learning Engineers design and implement machine learning algorithms and models. They work with large datasets and use their knowledge of mathematics and computer science to build systems that can learn from data and make predictions. The course's content on functions, probability distributions, and statistical inference will provide you with a solid foundation in the mathematical and statistical concepts used by Machine Learning Engineers, enhancing your chances of success in this field.
Data Scientist
Data Scientists use their expertise in mathematics, statistics, and computer science to extract insights from large amounts of data. They develop models and algorithms to solve complex problems and drive decision-making. The course's content on functions, probability distributions, and statistical inference will provide you with a strong foundation in the mathematical and statistical concepts used by Data Scientists, enhancing your chances of success in this field.
Statistician
Statisticians collect, analyze, interpret, and present data. They work in various industries, including healthcare, finance, and marketing. The course's emphasis on probability distributions, statistical inference, and data analysis will provide you with a solid foundation in the methods used by statisticians, increasing your chances of success in this field.
Economist
Economists study the production, distribution, and consumption of goods and services. They use their knowledge of mathematics and statistics to analyze economic data and make predictions about the economy. The course's content on functions, probability distributions, and statistical inference will provide you with a solid foundation in the mathematical and statistical concepts used by economists, enhancing your chances of success in this field.
Quantitative Analyst
Quantitative Analysts use mathematical and statistical models to analyze financial data and make investment decisions. They play a critical role in risk management and portfolio optimization. The course's content on functions, probability distributions, and statistical inference will provide you with a solid foundation in the quantitative methods used in this field, increasing your chances of success as a Quantitative Analyst.
Risk Manager
Risk Managers identify, assess, and manage risks within organizations. They develop strategies to mitigate potential losses and ensure business continuity. The course's content on probability distributions and statistical inference provides a strong foundation for understanding risk assessment and management techniques, which are essential for a successful career in risk management.
Actuary
Actuaries use mathematical and statistical skills to assess risk and uncertainty, especially in the insurance and finance industries. They develop models to predict the likelihood and financial impact of events. The course's content on probability distributions and statistical inference provides a strong foundation for the skills required to succeed as an actuary.
Software Engineer
Software Engineers design, develop, and maintain software systems. They must have a strong understanding of computer science fundamentals, including mathematics and algorithms. The course's content on functions, particularly polynomial and rational functions, can help you build a foundation in the mathematical concepts used in software development, enhancing your chances of success in this field.
Operations Research Analyst
Operations Research Analysts use mathematical models and techniques to optimize business processes and decision-making. They work in various industries, including manufacturing, logistics, and healthcare. The course's focus on functions and their applications in modeling real-world problems provides a valuable foundation for understanding the techniques used by Operations Research Analysts, enhancing your chances of success in this field.
Business Analyst
Business Analysts use their knowledge of business processes and data analysis techniques to identify and solve business problems. They work closely with stakeholders to understand their needs and develop solutions that meet those needs. The course's emphasis on problem-solving and data analysis will provide you with a strong foundation for the skills required to succeed as a Business Analyst, particularly in industries that rely heavily on mathematical and statistical modeling.
Financial Planner
Financial Planners help individuals and families plan for their financial future. They develop personalized financial plans that consider factors such as income, expenses, savings, and investments. The course's content on functions, particularly exponential and logarithmic functions, can help you build a foundation in the mathematical concepts used in financial planning, enhancing your chances of success in this field.
Market Researcher
Market Researchers gather and analyze data about consumer behavior and market trends. They use their findings to help businesses make informed decisions about product development, marketing campaigns, and pricing strategies. The course's content on functions, particularly exponential and logarithmic functions, can help you build a foundation in the mathematical concepts used in market research, enhancing your chances of success in this field.
Database Administrator
Database Administrators maintain and secure an organization's databases, ensuring that they run efficiently. They must have a solid understanding of database systems, including their design, implementation, and maintenance. The course's content, in particular the module on algebra and arithmetic operations, will help you build a foundation in the mathematical principles used in database management, which is essential for success in this role.
Financial Analyst
Financial Analysts apply their understanding of mathematics, statistics, and economics to evaluate investments and make recommendations to clients. They need a deep understanding of financial markets and the factors that affect them. The course's content on functions and their applications in modeling real-world problems can help you build a foundation for comprehending the complex interactions within financial markets, essential for success in this field.
Data Analyst
Data Analysts combine their knowledge of statistics, analytical tools, and computer programming to gather and interpret large amounts of data. Their ultimate goal is to uncover trends that can help organizations make decisions. The course's content on solving problems by modeling them as functions is essential for understanding how complex systems operate and is a crucial skill in data analysis. This course may help you succeed in this field.

Reading list

We've selected nine 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 Funciones algebraicas y trascendentes .
This classic textbook provides a rigorous foundation in calculus and analytic geometry. It offers a detailed coverage of transcendental functions and their properties, making it a valuable resource for advanced students seeking to deepen their understanding.
This textbook provides a comprehensive coverage of calculus, including transcendental functions. It offers a clear and engaging writing style, making it a valuable resource for students who want to enhance their understanding of the subject.
This textbook provides a solid foundation in algebra and trigonometry, covering polynomial, rational, and transcendental functions. It offers numerous exercises and examples, making it a useful resource for preparing students for this course.
Este libro de texto proporciona una introducción a las aplicaciones matemáticas en campos como la administración, la economía y las ciencias sociales. Ofrece ejemplos y estudios de casos del mundo real, lo que lo convierte en un recurso valioso para comprender cómo las funciones trascendentales se utilizan en la práctica.
Este libro de texto proporciona una base sólida en álgebra y trigonometría, que cubre funciones polinomiales y trigonométricas, que son relevantes para el curso.
Este libro proporciona una introducción al cálculo diferencial, que cubre conceptos relacionados con funciones, como derivadas e integrales.
Este libro proporciona una introducción al cálculo integral, que cubre conceptos relacionados con funciones, como derivadas e integrales.
Este libro proporciona una introducción al análisis matemático, que cubre conceptos relevantes para el curso, como funciones y sus propiedades.

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