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Dra. Patricia Salinas Martínez

Este curso forma parte de una secuencia con la que se propone un acercamiento a la Matemática Preuniversitaria que prepara para la Matemática Universitaria.

En él se asocia un significado real con el contenido matemático que se aprende y se integran tecnologías digitales en el proceso de aprendizaje.

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Este curso forma parte de una secuencia con la que se propone un acercamiento a la Matemática Preuniversitaria que prepara para la Matemática Universitaria.

En él se asocia un significado real con el contenido matemático que se aprende y se integran tecnologías digitales en el proceso de aprendizaje.

El contexto real de llenado de tanques permitirá hacer una primera transferencia de significado y recapitularemos contenidos preuniversitarios relacionados con el Modelo Cuadrático. El período de acreditación para la materia Introducción a las Matemáticas ha concluido. La última fecha para recibir certificados de Coursera es 24 de julio 2017. Informaremos oportunamente cuando la opción de acreditación esté disponible de nuevo.

Curso con crédito académico para alumnos admitidos y aspirantes a ingresar a su primer semestre de un programa de profesional en el Tecnológico de Monterrey. Si estás inscrito en este MOOC con el fin de obtener el crédito académico para el curso de Introducción a las matemáticas (Matemáticas Remedial), confirma tu interés en la acreditación a la cuenta: mooc@servicios.itesm.mx. Consulta las preguntas frecuentes para conocer el proceso de acreditación.

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What's inside

Syllabus

Concibiendo un movimiento MUA
Retomaremos el Movimiento Rectilíneo Uniforme para con él concebir un movimiento en el que la velocidad varíe uniformemente. En esto la tecnología tendrá una participación decisiva. Podremos entonces hablar de un Movimiento Uniformemente Acelerado.c
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Traffic lights

Read about what's good
what should give you pause
and possible dealbreakers
Este curso ofrece una visión integral de las Matemáticas preuniversitarias para preparar a los estudiantes para la Matemática universitaria
Vincula conceptos matemáticos con aplicaciones del mundo real, lo que facilita su comprensión y relevancia
Utiliza tecnologías digitales para mejorar el proceso de aprendizaje, haciéndolo más interactivo y atractivo
Desarrolla habilidades fundamentales en el modelo cuadrático, ecuaciones cuadráticas y sus aplicaciones
Proporciona una base sólida para conceptos matemáticos avanzados, como el cálculo
Este curso cuenta con crédito académico para estudiantes admitidos y aspirantes al Tecnológico de Monterrey

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Reviews summary

Introducción y repaso al cálculo cuadrático

Según los estudiantes, este curso ofrece una base sólida para el cálculo cuadrático, particularmente útil para la preparación universitaria. Muchos encontraron la estructura del curso clara y las explicaciones fáciles de seguir. El enfoque en ejemplos del mundo real, como el llenado de tanques, fue apreciado por ayudar a aplicar los conceptos teóricos. Sin embargo, el nivel de dificultad puede variar; mientras es ideal para principiantes o aquellos que necesitan un repaso, puede resultar ligeramente básico para quienes ya tienen una base sólida. La sección sobre la derivada y optimización fue señalada por algunos como la parte más desafiante. En general, se considera una buena introducción o repaso al tema.
Unidad final sobre cálculo puede ser un reto para algunos.
"La última parte del curso sobre la derivada fue la más compleja para mí."
"Necesité buscar material adicional para comprender bien la optimización."
"Aunque desafiante, la sección de cálculo fue muy enriquecedora."
Adecuado para principiantes, básico si tienes experiencia previa.
"Es un curso excelente si estás empezando desde cero en cálculo."
"Para alguien que ya vio estos temas, podría ser un poco lento."
"Sentí que requería un poco más de conocimiento previo del que pensaba."
Ayuda a conectar teoría con situaciones de la vida real.
"Me encantó cómo usaron el ejemplo del tanque para explicar los conceptos."
"Es muy útil ver cómo se aplica la matemática en problemas reales."
"Entendí mejor las funciones cuadráticas al ver su uso práctico."
Ideal para quienes se preparan para estudios superiores.
"Este curso me dio una gran base para mi primer semestre en la universidad."
"Lo recomiendo si necesitas repasar cálculo antes de entrar a la uni."
"Siento que ahora estoy mejor preparado para matemáticas universitarias."
Curso bien organizado con explicaciones fáciles de entender.
"La estructura del curso es muy clara y va paso a paso."
"El profesor explica de una forma muy sencilla y directa."
"Pude seguir los temas sin perderme gracias a cómo está organizado."

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 2.- El Cálculo - Modelo Cuadrático with these activities:
Review previous math coursework
Refresh your knowledge of some of the important mathematical concepts you'll encounter during this course.
Browse courses on Mathematical Models
Show steps
  • Review your notes, assignments, and exams from previous math courses.
  • Do practice problems to test your understanding.
Organize and review your math notes
Organizing your notes will help you identify areas where you need further clarification and prepare for assessments.
Show steps
  • Gather all your math notes from class and assignments.
  • Review the notes and identify key concepts and formulas.
  • Create a summary or outline of the main topics.
Explore interactive simulations on uniformly accelerated motion
These simulations will provide a dynamic and engaging way to visualize and understand the concepts of uniformly accelerated motion.
Show steps
  • Search for online simulations or videos on uniformly accelerated motion.
  • Experiment with different variables like initial velocity and acceleration.
  • Analyze the results and draw conclusions about the motion of objects under acceleration.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Solve practice problems on quadratic equations
Solving practice problems will help reinforce your understanding of quadratic equations and improve your problem-solving skills.
Browse courses on Quadratic Equations
Show steps
  • Find practice problems in your textbook or online.
  • Start with simpler problems and gradually move on to more challenging ones.
  • Check your answers using a calculator or online tools.
Discuss problem-solving strategies with classmates
Collaborating with peers can provide different perspectives and enhance your problem-solving skills.
Show steps
  • Form study groups with classmates.
  • Select a problem or set of problems to work on.
  • Share your ideas and approaches.
Create a visual representation of a quadratic function
Creating a visual representation will help you develop a deeper understanding of the shape and properties of quadratic functions.
Browse courses on Quadratic Functions
Show steps
  • Choose a quadratic function and plot its graph.
  • Use different colors or symbols to represent the vertex, intercepts, and axis of symmetry.
  • Add annotations to explain the key features of the function.
Seek guidance from experts in the field of mathematics
Mentoring can provide personalized guidance and support, helping you overcome challenges and achieve your learning goals.
Browse courses on Mathematics
Show steps
  • Identify potential mentors through professional organizations or online platforms.
  • Reach out to them and express your interest in mentorship.
  • Establish regular meetings or communication channels.
Contribute to an open-source project related to mathematics
Contributing to an open-source project will allow you to apply your mathematical knowledge in a practical setting and collaborate with others.
Browse courses on Mathematics
Show steps
  • Find an open-source project on GitHub or a similar platform.
  • Identify areas where you can make a contribution.
  • Submit a pull request with your changes.

Career center

Learners who complete 2.- El Cálculo - Modelo Cuadrático will develop knowledge and skills that may be useful to these careers:
Mathematician
As a Mathematician, you study the properties of numbers, shapes, and other abstract concepts. You use logical reasoning and mathematical proofs to develop new theories and solve problems. A course in Calculus can help you develop the mathematical skills and reasoning abilities necessary to succeed in this role. You can leverage your understanding of functions and models to explore complex mathematical concepts and make original contributions to the field.
Quantitative Analyst
As a Quantitative Analyst, you use mathematical and statistical models to analyze financial data and make investment decisions. You work with large data sets to identify trends, develop trading strategies, and manage risk. A course in Calculus can help you build the mathematical skills necessary to succeed in this role. You can use your understanding of functions and derivatives to analyze financial data, forecast financial trends, and develop profitable trading strategies.
Financial Analyst
As a Financial Analyst, you analyze financial data to make investment recommendations and develop financial plans. You use mathematical models and statistical techniques to evaluate the risk and return of different investment options. A course in Calculus can help you build the mathematical skills necessary to succeed in this role. You can use your understanding of functions and derivatives to analyze financial data, forecast financial trends, and make informed investment decisions.
Statistician
As a Statistician, you collect, analyze, and interpret data to provide insights and make informed decisions. You use mathematical models and statistical techniques to understand trends, identify patterns, and make predictions. A course in Calculus can help you build the mathematical skills necessary to succeed in this role. You can use your understanding of functions and derivatives to analyze data, develop statistical models, and make reliable conclusions.
Investment Banker
As an Investment Banker, you help companies raise capital and advise them on mergers and acquisitions. You use mathematical models and financial analysis to evaluate the financial health of companies and make recommendations on investment opportunities. A course in Calculus can help you develop the mathematical skills necessary to succeed in this role. You can use your understanding of functions and derivatives to analyze financial data, forecast financial trends, and make informed investment decisions.
Operations Research Analyst
As an Operations Research Analyst, you use mathematical models and techniques to improve the efficiency and effectiveness of organizations. You work with data to identify problems, develop solutions, and implement improvements. A course in Calculus can help you build the mathematical skills necessary to succeed in this role. You can use your understanding of functions and derivatives to analyze data, develop mathematical models, and make recommendations that can improve organizational performance.
Data Analyst
As a Data Analyst, you collect, analyze, and interpret data to identify trends and patterns. This information can be used to improve decision-making, solve problems, and gain a competitive advantage. A course in Calculus can help you build the mathematical skills necessary to succeed in this role. You can leverage your understanding of equations and functions to understand and analyze complex data sets.
Software Engineer
As a Software Engineer, you design, develop, and maintain software systems. You use mathematical models and algorithms to solve problems and create efficient and reliable software. A course in Calculus can help you develop the mathematical skills necessary to succeed in this role. You can use your understanding of functions and derivatives to develop algorithms, optimize software performance, and create innovative software solutions.
Market Research Analyst
As a Market Research Analyst, you analyze market data to identify and understand trends. This information can help companies and organizations to make informed decisions about their products, services, and marketing strategies. A course in Calculus can provide you with the mathematical foundation necessary to understand and interpret complex data sets. You can use your knowledge of functions and models to identify trends, forecast consumer behavior, and make recommendations that can drive business success.
Biostatistician
As a Biostatistician, you apply statistical theory and methodology to problems in biology and health. By analyzing data related to living organisms, you can help to design studies, analyze results, and interpret trends. A course in Calculus can help you develop the mathematical skills necessary to succeed in this role. You can leverage your understanding of equations and functions to model complex biological phenomena accurately.
Economist
As an Economist, you study the production, distribution, and consumption of goods and services. You use mathematical models and statistical techniques to analyze economic data and make predictions about economic trends. A course in Calculus can provide you with the mathematical foundation necessary to understand and apply economic models. You can use your knowledge of functions and derivatives to analyze economic behavior, forecast economic growth, and develop policies that can improve economic outcomes.
Physicist
As a Physicist, you study the fundamental laws of nature. You use mathematical models and experimental data to understand the behavior of matter and energy. A course in Calculus can provide you with the mathematical foundation necessary to understand and apply physical theories. You can use your knowledge of functions and derivatives to analyze physical phenomena, solve problems, and make predictions about the behavior of the universe.
Researcher
As a Researcher, you conduct scientific investigations to answer questions and develop new knowledge. You use mathematical models and experimental data to analyze data, draw conclusions, and make predictions. A course in Calculus can help you build the mathematical skills necessary to succeed in this role. You can use your understanding of functions and derivatives to analyze data, develop mathematical models, and make original contributions to your field of study.
Teacher
As a Teacher, you educate students at various levels. You use mathematical models and scientific principles to explain concepts and help students develop their critical thinking skills. A course in Calculus can help you develop the mathematical content knowledge and pedagogical skills necessary to succeed in this role. You can use your understanding of functions and derivatives to explain complex mathematical concepts and engage students in meaningful learning experiences.
Science Teacher
As a Science Teacher, you teach science concepts to students at various levels. You use mathematical models and experimental data to explain scientific phenomena and help students develop their scientific thinking skills. A course in Calculus can help you develop the mathematical content knowledge and pedagogical skills necessary to succeed in this role. You can use your understanding of functions and derivatives to explain complex scientific concepts and engage students in meaningful learning experiences.

Reading list

We've selected seven 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 2.- El Cálculo - Modelo Cuadrático.
Este libro proporciona una base sólida en los conceptos fundamentales del cálculo, incluyendo funciones, derivadas e integrales. Es un recurso valioso para los estudiantes que desean profundizar su comprensión de los temas cubiertos en el curso.
Este libro proporciona una introducción completa al álgebra lineal, que es un tema esencial para comprender el cálculo. Proporciona una base sólida para los estudiantes que desean profundizar su comprensión de los conceptos matemáticos del curso.
Este libro cubre los conceptos básicos de las ecuaciones diferenciales, que son esenciales para comprender el cálculo. Proporciona una base sólida para los estudiantes que buscan aplicar las matemáticas a sus campos de estudio.
Este libro cubre los conceptos matemáticos esenciales para los estudiantes en administración, economía y ciencias sociales. Proporciona una base práctica para los estudiantes que desean aplicar las matemáticas a sus campos de estudio.
Este libro proporciona una base sólida en los conceptos matemáticos esenciales para los estudiantes en ciencia e ingeniería. Proporciona una base práctica para los estudiantes que desean aplicar las matemáticas a sus campos de estudio.

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