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Dr. Genaro Zavala Enríquez, Ing. Rodolfo Fernández de Lara Hadad, and Ing. José Rodrigo Salmón Folgueras

Este curso provee al estudiante con conceptos y herramientas matemáticas para modelar problemas en física, que al aplicar podrá enfrentar con éxito los cursos de física universitarios.

Así pues, la filosofía de este curso consiste en cubrir temas conceptuales relativos a la Física y desarrollar tu capacidad de aprender y aplicarlos en tu vida profesional.

El curso se aborda en dos fases a través de las cuales el alumno:

- Aprenderá a aplicar el cálculo diferencial e integral para interpretar y modelar la cinemática de una partícula en una dimensión,

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Este curso provee al estudiante con conceptos y herramientas matemáticas para modelar problemas en física, que al aplicar podrá enfrentar con éxito los cursos de física universitarios.

Así pues, la filosofía de este curso consiste en cubrir temas conceptuales relativos a la Física y desarrollar tu capacidad de aprender y aplicarlos en tu vida profesional.

El curso se aborda en dos fases a través de las cuales el alumno:

- Aprenderá a aplicar el cálculo diferencial e integral para interpretar y modelar la cinemática de una partícula en una dimensión,

- Aprenderá el manejo de cantidades físicas vectoriales en forma gráfica y analítica en dos y tres dimensiones.

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What's inside

Syllabus

Introducción al movimiento
En estas sesiones daremos inicio al curso y hablaremos de conceptos importantes referentes a la cinemática y cómo es que estos se usan en la física. Te invitamos a revisar cuidadosamente el contenido de este módulo, realizar todas las actividades y a participar en los foros de discusión.
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Velocidad instantánea y derivadas
En esta semana hablaremos de conceptos importantes referentes a la velocidad instantánea, las derivadas y cómo se usan en la física. Te invitamos a revisar cuidadosamente el contenido de esta semana, realizar todas las actividades y a participar en los foros de discusión.
Teorema del valor promedio e integrales
En este módulo nos enfocamos en la operación inversa de la derivada para calcular desplazamiento a partir de una función de velocidad; a dicha operación se le conoce como la integral definida y justificaremos su uso a partir de teorema del valor promedio. También usaremos la integral indefinida para obtener la función de posición a partir de una función de velocidad y una condición para la posición.
Interpretación de gráficas
En este módulo usaremos todos los conceptos vistos hasta el momento para dibujar el bosquejo o identificar la gráfica de velocidad de una partícula dada su gráfica de posición y vice versa.
Introducción a vectores
En este módulo estudiaremos los conceptos básicos de la representación gráfica de vectores así como de operaciones de suma, resta y multiplicación.
Vectores en el plano cartesiano
En este capítulo introducimos el concepto de vector unitario y componentes rectangulares de un vector, así como las operaciones básicas con vectores cuando están expresados en coordenadas rectangulares.
Vectores en el espacio
En este módulo extendemos los conceptos de vectores en el plano cartesiano al espacio en tres dimensiones, y se presentan los cosenos directores de un vector en coordenadas cartesianas.
Producto punto
En este módulo estudiamos el producto punto (o escalar) entre vectores y su interpretación gráfica, así como algunas aplicaciones en la física.
Producto cruz
En este módulo estudiamos el producto cruz (o producto vectorial) y su interpretación gráfica, así como algunas aplicaciones en la física.

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Este curso fortalece una base sólida para los estudiantes de nivel intermedio
Está creado por una mezcla de instructores con experiencia en la industria y el mundo académico
Tiene un enfoque práctico con laboratorios y material interactivo
Este curso cubre conceptos matemáticos fundamentales utilizados en física
Los estudiantes necesitan una base previa en cálculo para aprovechar al máximo este curso
Se centra en la cinemática de partículas y vectores en dos y tres dimensiones

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Reviews summary

General physics course for university preparation

This university physics preparation course provides students with the mathematical tools and concepts they need to interpret the kinematics of a particle in one dimension. It also teaches students how to graphically and analytically handle vector physical quantities in two and three dimensions. Overall, this course has received positive feedback from students who found it to be well-organized and informative.
Knowledgeable and engaging instructors
"Los profesores son lo mejor del curso, con diferencia."
"Me encantaron las precisas explicaciones, lo didáctico que han sido los tutores sido al momento de explicar los temas y relacionarlos con la física"
Clear and comprehensive lectures
"Me gustaron muchísimo las exposiciones de los Profesores, te brindan todo lo que necesites para realizar el análisis de los ejercicios propuestos, y siempre te están instando a dar un paso más acerca de los temas en estudio."
Exams more difficult than course material
"Las actividades de evaluación eran bastante mas difíciles que el material enseñado"
Outdated activities
"Hay una actividad que no se puede hacer correctamente debido a que cambio el simulador que se usa en la misma."
"Hay una actividad desactualizada que no permite concluir el curso"

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 Conceptos y Herramientas para la Física Universitaria with these activities:
Revisit Differential and Integral Calculus
Refresh your memory when it comes to the basic principles of differential and integral calculus to build a strong foundation for this course.
Browse courses on Differential Calculus
Show steps
  • Review differential functions, derivatives, and their applications.
  • Practice working with integral functions, integrals, and their applications.
  • Solve practice problems involving differentiation and integration.
Explore online simulations in introductory physics
Look for online simulations for different concepts in introductory physics to better visualize principles and their applications.
Browse courses on Physics Simulations
Show steps
  • Identify online resources that provide interactive simulations for introductory physics.
  • Explore various simulations and experiment with different parameters.
  • Analyze the results of the simulations and discuss them with peers or instructors.
Read 'Principles of Physics' by Serway and Jewett
Supplement your understanding of the course material by reading a popular physics textbook for introductory students.
Show steps
  • Read through the chapters corresponding to the topics covered in the course.
  • Take notes and highlight important concepts.
  • Complete practice problems and exercises provided in the book.
Six other activities
Expand to see all activities and additional details
Show all nine activities
Join a study group with classmates
Form or join a study group with peers to discuss concepts, work on problems, and support each other's learning.
Show steps
  • Find or create a study group with classmates.
  • Meet regularly to discuss course material, solve problems, and clarify concepts.
  • Take turns leading discussions and facilitating group activities.
Build a concept map for key principles
Create a concept map that outlines the connections and relationships between the key principles taught in this course.
Show steps
  • Identify the main concepts and subconcepts covered in the course.
  • Determine the relationships between the concepts.
  • Visually represent the concepts and their relationships using a concept map.
Practice solving physics problems
Regularly practice using the mathematical tools and concepts learned in the course to solve physics problems.
Browse courses on Problem Solving
Show steps
  • Identify practice problems in textbooks, online resources, or problem sets provided by instructors.
  • Solve the problems step-by-step, showing all work and reasoning.
  • Check your answers and identify areas where further understanding is needed.
Organize and review course materials
Stay organized by regularly reviewing and compiling your notes, assignments, quizzes, and exams.
Show steps
  • Create a system for organizing your course materials, such as using folders or a digital notebook.
  • Regularly review your notes and highlight important concepts.
  • Complete practice problems and assignments to reinforce your understanding.
Develop a physics experiment demonstration
Design and conduct a physics experiment to demonstrate a concept learned in the course, and prepare a presentation to explain the experiment and its implications.
Show steps
  • Research and select a physics concept to demonstrate.
  • Design an experiment to test or illustrate the concept.
  • Conduct the experiment and collect data.
  • Analyze the data and draw conclusions.
  • Create a presentation that explains the experiment, its results, and the implications of the findings.
Contribute to open-source physics projects
Participate in open-source projects related to physics education, such as contributing to simulations, tutorials, or online resources.
Browse courses on Open Source
Show steps
  • Identify open-source projects in physics that align with your interests.
  • Join the project community and learn about their goals and needs.
  • Find a specific task or area where you can contribute your skills.
  • Contribute code, documentation, or other resources to the project.
  • Collaborate with other contributors and provide feedback on their work.

Career center

Learners who complete Conceptos y Herramientas para la Física Universitaria will develop knowledge and skills that may be useful to these careers:
Aerospace Engineer
Aerospace Engineers design, develop, analyze, and test aircraft, spacecraft, and related systems. Their work affects nearly every aspect of modern society, from transportation and defense to space exploration and environmental protection. This course would be highly beneficial for aspiring Aerospace Engineers, as it provides a solid foundation in the fundamental concepts and tools of physics, including kinematics, vectors, and calculus. These concepts are essential for understanding the motion of aircraft and spacecraft, and for designing and testing these systems to ensure their safety and performance.
Mechanical Engineer
Mechanical Engineers design, develop, build, and test mechanical systems, such as engines, turbines, and robots. They work in a variety of industries, including manufacturing, automotive, and aerospace. This course would be highly beneficial for aspiring Mechanical Engineers, as it provides a solid foundation in the fundamental concepts and tools of physics, including kinematics, vectors, and calculus. These concepts are essential for understanding the motion of mechanical systems, and for designing and testing these systems to ensure their safety and performance.
Robotics Engineer
Robotics Engineers design, build, and maintain robots. Their work is used in a wide variety of applications, such as manufacturing, healthcare, and space exploration. This course would be highly beneficial for aspiring Robotics Engineers, as it provides a solid foundation in the fundamental concepts and tools of physics, including kinematics, vectors, and calculus. These concepts are essential for understanding the motion of robots, and for designing and building robots that are safe and efficient.
Nuclear Engineer
Nuclear Engineers design, build, and operate nuclear power plants. Their work is essential for the production of clean and reliable energy. This course would be highly beneficial for aspiring Nuclear Engineers, as it provides a solid foundation in the fundamental concepts and tools of physics, including kinematics, vectors, and calculus. These concepts are essential for understanding the operation of nuclear reactors, and for designing and building nuclear power plants that are safe and efficient.
Electrical Engineer
Electrical Engineers design, develop, and test electrical systems, such as power plants, electrical grids, and electronic devices. Their work is essential for the functioning of our modern world. This course would be highly beneficial for aspiring Electrical Engineers, as it provides a solid foundation in the fundamental concepts and tools of physics, including kinematics, vectors, and calculus. These concepts are essential for understanding the flow of electricity, and for designing and testing electrical systems to ensure their safety and performance.
Civil Engineer
Civil Engineers design, build, and maintain the infrastructure that we rely on every day, such as roads, bridges, and buildings. Their work is essential for the safety and well-being of our communities. This course would be highly beneficial for aspiring Civil Engineers, as it provides a solid foundation in the fundamental concepts and tools of physics, including kinematics, vectors, and calculus. These concepts are essential for understanding the forces that act on structures, and for designing and building structures that are safe and efficient.
Materials Scientist
Materials Scientists develop and improve materials for a wide range of applications, such as aerospace, electronics, and medicine. Their work is essential for the advancement of technology. This course would be highly beneficial for aspiring Materials Scientists, as it provides a solid foundation in the fundamental concepts and tools of physics, including kinematics, vectors, and calculus. These concepts are essential for understanding the properties of materials, and for developing and improving materials that meet the needs of modern society.
Oceanographer
Oceanographers study the oceans, including their physical, chemical, and biological properties. Their work helps us to understand the Earth's climate, and to manage our marine resources. This course would be highly beneficial for aspiring Oceanographers, as it provides a solid foundation in the fundamental concepts and tools of physics, including kinematics, vectors, and calculus. These concepts are essential for understanding the motion of ocean currents, and for developing new theories that explain the oceans.
Astronomer
Astronomers study the universe, including stars, planets, galaxies, and black holes. Their work helps us to understand our place in the universe and to unravel the mysteries of the cosmos. This course would be highly beneficial for aspiring Astronomers, as it provides a solid foundation in the fundamental concepts and tools of physics, including kinematics, vectors, and calculus. These concepts are essential for understanding the motion of celestial objects, and for developing new theories that explain the universe.
Physicist
Physicists study the fundamental laws of nature. Their work has led to groundbreaking discoveries such as the laws of motion, the theory of relativity, and the quantum theory. This course would be highly beneficial for aspiring Physicists, as it provides a solid foundation in the fundamental concepts and tools of physics, including kinematics, vectors, and calculus. These concepts are essential for understanding the laws of nature, and for developing new theories that explain the universe.
Meteorologist
Meteorologists study the atmosphere and predict the weather. Their work helps us to understand the Earth's climate, and to prepare for extreme weather events. This course would be highly beneficial for aspiring Meteorologists, as it provides a solid foundation in the fundamental concepts and tools of physics, including kinematics, vectors, and calculus. These concepts are essential for understanding the motion of air masses, and for developing new theories that explain the weather.
Geologist
Geologists study the Earth's crust, including its rocks, minerals, and fossils. Their work helps us to understand the Earth's history, structure, and dynamics. This course would be highly beneficial for aspiring Geologists, as it provides a solid foundation in the fundamental concepts and tools of physics, including kinematics, vectors, and calculus. These concepts are essential for understanding the forces that shape the Earth, and for developing new theories that explain the Earth's history and evolution.
Geophysicist
Geophysicists study the physical properties of the Earth, including its crust, mantle, and core. Their work helps us to understand the Earth's history, structure, and dynamics. This course would be highly beneficial for aspiring Geophysicists, as it provides a solid foundation in the fundamental concepts and tools of physics, including kinematics, vectors, and calculus. These concepts are essential for understanding the forces that shape the Earth, and for developing new theories that explain the Earth's history and evolution.
Biophysicist
Biophysicists apply the principles of physics to biological systems. Their work helps us to understand the molecular basis of life, and to develop new treatments for diseases. This course would be highly beneficial for aspiring Biophysicists, as it provides a solid foundation in the fundamental concepts and tools of physics, including kinematics, vectors, and calculus. These concepts are essential for understanding the forces that govern biological systems, and for developing new theories that explain the molecular basis of life.
Data Scientist
Data Scientists use data to solve problems and make decisions. They work in a variety of industries, such as finance, healthcare, and retail. This course may be useful for aspiring Data Scientists, as it provides a solid foundation in the fundamental concepts and tools of physics, including kinematics, vectors, and calculus. These concepts are essential for understanding the data that is used to solve problems and make decisions.

Reading list

We've selected six 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 Conceptos y Herramientas para la Física Universitaria.
Este libro es un texto clásico de física universitaria que proporciona una base sólida en los conceptos y herramientas matemáticas necesarias para comprender la física. Presenta un enfoque conceptual y basado en problemas para el aprendizaje de la física, y cubre una amplia gama de temas, desde la cinemática y la dinámica hasta la física moderna.
Este libro es otro texto completo de física universitaria que se enfoca en la resolución de problemas y el desarrollo de habilidades de pensamiento crítico. Proporciona una cobertura detallada de los conceptos y herramientas matemáticas utilizados en física, con un énfasis en aplicaciones en ciencias e ingeniería.
Este libro es un texto integral de física universitaria diseñado específicamente para estudiantes de ingeniería y ciencias. Cubre una amplia gama de temas, incluida la mecánica, la termodinámica, la electricidad y el magnetismo, con un enfoque en aplicaciones prácticas y resolución de problemas.
Este libro adopta un enfoque conceptual para enseñar física, enfatizando la comprensión de los conceptos subyacentes en lugar de fórmulas y ecuaciones. Proporciona una introducción accesible a las leyes básicas de la física y su aplicación en el mundo real.
Este libro es una exploración fascinante de la física moderna y la búsqueda de una teoría unificada. Proporciona una visión general accesible de conceptos como la relatividad general, la teoría de cuerdas y el multiverso.
Este libro es una introducción accesible a la cosmología y la física teórica. Explora temas como el origen del universo, la naturaleza del tiempo y el futuro del cosmos.

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