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2.- El Cálculo - Modelo Cuadrático

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: [email protected]. 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

De un MUA transferimos a un CUA

Hablaremos nuevamente de la importante acción de transferencia cuando aprendemos Matemáticas. El conocimiento generado en el contexto real del movimiento en línea recta lo vamos a transferir a otros contextos reales con la intención de, posteriormente, generalizar al contexto matemático.

Ecuaciones y funciones cuadráticas

Hablaremos de las ecuaciones cuadráticas y de la fórmula general para resolverlas. Ahí recordaremos nuestra clasificación de los números que resultan como solución. Vamos a dar significado a estas ecuaciones al relacionarlas con funciones cuadráticas que modelan matemáticamente una situación real.

Función cuadrática y su derivada lineal

Hablaremos del Modelo Cuadrático desde la perspectiva del Cálculo, considerando su derivada. Con esto podremos retomar el tema de la parábola vertical y reconocer su utilidad para la identificación de puntos máximos y mínimos en una gráfica. Hablaremos de la construcción y optimización de funciones como aplicación de lo que hemos aprendido.

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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

Excellent course for pre-university math

This course is highly praised by a single reviewer who gave a 5-star rating. The reviewer highly recommends the course for its excellent explanations and its effectiveness as a pre-university mathematics course.

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

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Refresh your knowledge of some of the important mathematical concepts you'll encounter during this course.

Browse courses on Mathematical Models

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Review your notes, assignments, and exams from previous math courses.
Do practice problems to test your understanding.

Organize and review your math notes

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Organizing your notes will help you identify areas where you need further clarification and prepare for assessments.

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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

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These simulations will provide a dynamic and engaging way to visualize and understand the concepts of uniformly accelerated motion.

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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.

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Solve practice problems on quadratic equations

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Solving practice problems will help reinforce your understanding of quadratic equations and improve your problem-solving skills.

Browse courses on Quadratic Equations

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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

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Collaborating with peers can provide different perspectives and enhance your problem-solving skills.

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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

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Creating a visual representation will help you develop a deeper understanding of the shape and properties of quadratic functions.

Browse courses on Quadratic Functions

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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

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Mentoring can provide personalized guidance and support, helping you overcome challenges and achieve your learning goals.

Browse courses on Mathematics

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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

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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

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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.

See salaries and explore the career path for Mathematician

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.

See salaries and explore the career path for Quantitative Analyst

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.

See salaries and explore the career path for Financial Analyst

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.

See salaries and explore the career path for Statistician

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.

See salaries and explore the career path for Operations Research Analyst

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.

See salaries and explore the career path for Data Analyst

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.

See salaries and explore the career path for Investment Banker

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.

See salaries and explore the career path for Software Engineer

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.

See salaries and explore the career path for Market Research Analyst

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.

See salaries and explore the career path for Economist

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.

See salaries and explore the career path for Physicist

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.

See salaries and explore the career path for Biostatistician

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.

See salaries and explore the career path for Teacher

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.

See salaries and explore the career path for Researcher

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.

See salaries and explore the career path for Science Teacher

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.

Calculus

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Este libro presenta el cálculo desde una perspectiva conceptual, enfatizando la comprensión de los conceptos sobre los procedimientos mecánicos. Es un recurso valioso para los estudiantes que buscan desarrollar una comprensión profunda del cálculo.

2.- El Cálculo - Modelo Cuadrático

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What's inside

Syllabus

Good to know

Save this course

Reviews summary

Excellent course for pre-university math

Activities

Career center

Reading list

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