2.- El Cálculo - Modelo Cuadrático

Go to Course: https://www.coursera.org/learn/calculo-2

Introduction

**Course Review: "2.- El Cálculo - Modelo Cuadrático" on Coursera** **Overview** The course "2.- El Cálculo - Modelo Cuadrático" is an essential part of a comprehensive sequence aimed at bridging the gap between pre-university and university-level mathematics. This course offers a unique approach by associating real-world meanings with the mathematical concepts being learned and seamlessly integrating digital technologies into the learning process. The primary focus is on the real-world context of tank filling, which serves as a practical example for introducing and understanding the quadratic model. Through this course, students will revisit pre-university content related to quadratic equations and functions while preparing for more advanced mathematical topics. **Syllabus Breakdown** 1. **Concibiendo un movimiento MUA (Conceiving Uniformly Accelerated Motion)** In this module, students will reflect on Uniform Rectilinear Motion and will conceptualize a scenario where velocity varies uniformly—an introduction to Uniformly Accelerated Motion (MUA). The use of technology is emphasized, providing interactive tools that enhance students' understanding of motion. 2. **De un MUA transferimos a un CUA (From MUA to CUA)** This module focuses on the crucial concept of knowledge transfer in mathematics. Real-life scenarios involving linear motion will be discussed, ultimately leading to a transition towards understanding Quadratic Uniformly Accelerated Motion (CUA). This integration helps learners relate mathematical principles to their applications in everyday contexts. 3. **Ecuaciones y funciones cuadráticas (Quadratic Equations and Functions)** Here, the course dives into quadratic equations and the general formula used to solve them. Students will revisit the classification of solutions and explore how these equations relate to quadratic functions that model real-world situations. This connection solidifies the understanding of the mathematical framework. 4. **Función cuadrática y su derivada lineal (Quadratic Function and Its Linear Derivative)** The final module introduces the quadratic model from a calculus perspective, focusing on its derivative. Students will engage with the concept of vertical parabolas and learn to identify maximum and minimum points on a graph. This understanding is critical for constructing and optimizing functions, allowing students to apply their knowledge effectively in practical scenarios. **Course Recommendations** I highly recommend "2.- El Cálculo - Modelo Cuadrático" for anyone looking to strengthen their understanding of quadratic equations and functions within a contextual and practical framework. This course is particularly beneficial for high school students preparing for university-level math, as well as for educators seeking to enhance their teaching methodologies. The incorporation of digital technologies enriches the learning experience, making complex concepts more tangible and engaging. The focus on real-world applications ensures that students not only learn mathematical theory but also understand its significance in daily life. Whether you're a student needing extra preparation for your mathematics journey or an educator aiming to enhance your teaching practice, this course offers valuable insights and tools that can make learning mathematics both effective and enjoyable. In conclusion, if you are eager to understand the intricacies of mathematical concepts while preparing for higher education, "2.- El Cálculo - Modelo Cuadrático" is an excellent choice on Coursera. With its robust curriculum, innovative use of technology, and real-world applications, it promises to equip you with the foundational knowledge and skills necessary for success in university mathematics and beyond.

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

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.

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.

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.