3.- El Cálculo - Modelo Cúbico from Coursera

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.

La transferencia a varios contextos reales permitirá fortalecer un aprendizaje con significado e integrar tecnologías digitales especializadas. El objetivo es desarrollar un pensamiento matemático en el aprendizaje de contenidos relacionados con el Modelo Cúbico.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: [email protected]. Consulta las preguntas frecuentes para conocer el proceso de acreditación.

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What's inside

Syllabus

Concebimos un movimiento diferente

Hablaremos del Modelo Cúbico construido a partir del Modelo Cuadrático. Retomaremos la situación real de movimiento en línea recta creando un movimiento en el que no hay cambio de sentido. Transitaremos al contexto real de llenado de tanques para dar significado a la función cúbica y a su derivada.

Ecuaciones y funciones cúbicas

Retomaremos el contexto real del movimiento en línea recta para activar procesos algebraicos relacionados con la interpretación gráfica del movimiento. Consideraremos diferentes casos de ecuaciones cúbicas en las que podremos calcular sus soluciones con procedimientos algebraicos sencillos.

La derivada cuadrática y la función cúbica

Hablaremos del contexto de llenado de tanques para apreciar las diferentes características gráficas que puede tener una función cúbica. Haremos énfasis en la obtención de la derivada y la antiderivada como procesos algebraicos. Utilizaremos la derivada para identificar máximos, mínimos y puntos de inflexión.

Aplicaciones con cúbicas

Hablaremos de la aplicación conocida como la optimización de funciones considerando el Modelo Cúbico. Con ayuda de la tecnología, interpretaremos el efecto gráfico que se refleja al introducir un parámetro en la representación algebraica de ciertas funciones cúbicas.

Good to know

Know what's good

, what to watch for

, and possible dealbreakers

Enseña el uso de tecnologías digitales para fortalecer el aprendizaje de los alumnos

Está diseñada para desarrollar el pensamiento matemático mediante el análisis de modelos cúbicos

Ofrece una comprensión más profunda de los conceptos matemáticos al vincularlos con situaciones del mundo real

Es impartido por la Dra. Patricia Salinas Martínez, una instructora reconocida en matemáticas

El curso está asociado con el Tecnológico de Monterrey, una institución respetada en el ámbito académico

Proporciona oportunidades para que los estudiantes apliquen sus conocimientos en contextos prácticos

Reviews summary

Introduction to the cubic model in calculus

This course provides a solid introduction to the cubic model in calculus, with clear explanations and engaging examples. Students appreciate the professor's teaching style and find the course to be a valuable learning experience.

Thought-provoking concepts that deepen understanding

"Hay momentos en el curso en el que te pones a pensar y tu mente se ilumina."

Excellent teaching style with a knack for making complex topics easy to understand

"Paty Salinas es una profesora excelente."

"Sus cursos son muy didácticos y amenos a la vez."

Well-explained concepts with illustrative examples

"Las explicaciones de la Dra. son excepcionalmente claras y los ejemplos son muy ilustrativos"

Assessment questions sometimes unclear and abstract

"Las evaluaciones, son confusas, con las alternativas."

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 3.- El Cálculo - Modelo Cúbico with these activities:

Review Your Algebra Skills

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Refresh your algebra skills before taking this course. This will help you better understand the concepts introduced in this course.

Browse courses on Algebra

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Review the basics of algebra, such as simplifying expressions, solving equations, and graphing linear equations.
Take practice problems to test your understanding of algebra.

Organize Your Course Materials

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Organizing your course materials will help you stay organized and prepared for your studies, making it easier to access and review the materials you need.

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Gather all of your course materials, including notes, handouts, textbooks, and assignments.
Create a system for organizing your materials, such as using folders, binders, or a digital filing system.
Review and update your materials regularly to ensure that they are up-to-date and well-organized.

Review Algebra

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Reviewing Algebra will strengthen your understanding of the fundamental concepts and operations of mathematics, which are essential for success in this course.

Browse courses on Algebra

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Go over your notes and textbooks from previous Algebra courses.
Take practice quizzes or tests to assess your understanding of Algebra concepts.
Identify areas where you need additional support and seek help from a tutor or teacher.

Five other activities

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Learn about Graphing Cubic Functions

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Exploring tutorials on graphing cubic functions will provide you with a deeper understanding of the techniques and concepts involved in visualizing and analyzing cubic functions.

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Search for online tutorials or videos on graphing cubic functions.
Follow along with the tutorials and practice graphing different cubic functions.
Take notes on the key steps and strategies for graphing cubic functions.

Solve Cubic Equations

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Solving cubic equations will enhance your problem-solving skills and strengthen your understanding of algebraic techniques.

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Find practice exercises or worksheets on solving cubic equations.
Attempt to solve the equations using different methods, such as factoring, synthetic division, or the cubic formula.
Check your solutions and identify any areas where you need to improve your techniques.

Create a Mind Map of Cubic Functions

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Creating a mind map of cubic functions will help you organize and visualize the key concepts, properties, and applications of cubic functions.

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Start with a central node labeled 'Cubic Functions'.
Add branches for different aspects of cubic functions, such as their equations, graphs, properties, and applications.
Include examples, diagrams, and notes to enhance your understanding.

Attend a Math Club Meeting

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Attending a Math Club meeting will connect you with other students who are passionate about mathematics and provide opportunities to discuss and collaborate on mathematical topics.

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Inquire about Math Club meetings at your school or in your community.
Attend a meeting and introduce yourself to other members.
Participate in discussions, ask questions, and share your knowledge.

Participate in a Math Olympiad Workshop

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Participating in a Math Olympiad workshop will challenge your problem-solving abilities, expose you to advanced mathematical concepts, and provide opportunities to learn from experienced mathematicians.

Browse courses on Problem Solving

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Find Math Olympiad workshops in your area.
Register for a workshop that aligns with your interests and level.
Actively participate in the workshop activities, ask questions, and collaborate with others.

Career center

Learners who complete 3.- El Cálculo - Modelo Cúbico will develop knowledge and skills that may be useful to these careers:

Data Scientist

Data scientists design and implement data collection, analysis, and interpretation systems. They play a key role in the development and implementation of artificial intelligence (AI) and machine learning (ML)-powered solutions. This course's focus on mathematical principles that govern data, and data analysis techniques, such as modeling and interpretation will help you in your work as a data scientist.

See salaries and explore the career path for Data Scientist

Mathematician

Mathematicians use mathematical principles to develop new theories and solve problems. The course's focus on mathematical concepts, problem solving, and interpretation of data will aid you in your work as a mathematician.

See salaries and explore the career path for Mathematician

Actuary

Actuaries use mathematical and statistical techniques to assess risk and uncertainty. The focus on mathematical principles, problem solving, and data analysis techniques from this course will help you in your work as an actuary.

See salaries and explore the career path for Actuary

Quantitative Analyst

Quantitative analysts develop and implement mathematical and statistical models to assess risk and make investment decisions. The emphasis on mathematical principles, data analysis techniques, modeling, and interpretation from this course will benefit your work as a quantitative analyst.

See salaries and explore the career path for Quantitative Analyst

Statistician

Statisticians use mathematical and statistical techniques to collect, analyze, interpret, and present data. Concepts like mathematical principles that govern data, data analysis techniques, modeling, and interpretation from this course will aid your work as a statistician.

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Computer Scientist

Computer scientists conduct research on the theory and practice of computation. This course's focus on mathematical principles and problem solving can aid your work as a computer scientist.

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Physicist

Physicists study the fundamental laws that govern the universe. This course's emphasis on mathematical principles, modeling, and interpretation will help you in your work as a physicist.

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Medical Physicist

Medical physicists use physics principles to develop and apply techniques for the diagnosis and treatment of disease. The focus on mathematical principles, modeling, and data analysis from this course will aid your work as a medical physicist.

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Operations Research Analyst

Operations research analysts use mathematical and analytical methods to solve complex problems in business, industry, and government. The focus of this course on mathematical techniques, problem solving, and optimization will provide a foundation for your work in this role.

See salaries and explore the career path for Operations Research Analyst

Data Analyst

Data analysts work with data to identify trends, patterns, and other useful information. The mathematical and data analysis techniques, modeling, and interpretation skills taught in this course will build a foundation for you in your work as a data analyst.

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Software Engineer

Software engineers design, implement, and maintain software systems. The focus on mathematical principles, data analysis techniques, and problem solving taught in this course will strengthen your skills as a software engineer.

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Financial Analyst

Financial analysts evaluate and make recommendations on investments. This course's focus on mathematical principles, data analysis techniques, and modeling will help build a foundation for you in your work as a financial analyst.

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Engineer

Engineers design, develop, and maintain machines, structures, and systems. The course's focus on mathematical principles, modeling, and problem solving will serve as a foundation for you as an engineer.

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Economist

Economists study the production, distribution, and consumption of goods and services. The mathematical principles, data analysis techniques, and modeling from this course will build a foundation for you as an economist.

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Teacher

Teachers plan, deliver, and evaluate instruction in one or more subjects. The focus of this course on mathematical principles, problem solving, and data analysis can be especially valuable if you plan to be a math teacher.

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