Álgebra básica

Go to Course: https://www.coursera.org/learn/algebra-basica

Introduction

**Course Review: Álgebra básica on Coursera** Mathematics is often described as the universal language, and nowhere is this truer than in the field of algebra. For those seeking to not only understand mathematical concepts but to apply them to real-world problems, the “Álgebra básica” course on Coursera presents an excellent opportunity. This course is designed to take learners through the foundational aspects of algebra, with a clear focus on practical applications, making it suitable for both beginners and those looking to refresh their skills. ### Course Overview The course begins with a thought-provoking quote from Galileo: "El Universo está escrito en lenguaje matemático..." This statement encapsulates the essence of the course, highlighting the importance of mathematical language in understanding the behavior of the universe. Algebra is presented as a critical tool for formulating laws that explain various natural phenomena, making it not just a theoretical subject, but one with vast applications in daily life, science, economics, and beyond. ### Syllabus Breakdown The curriculum is well-structured and easy to follow, divided into five key modules: 1. **Introducción al álgebra**: - This introductory module establishes the foundation of algebra as the grammatical framework through which scientific problems can be formulated and solved. - Learners will gain skills in translating verbal expressions into algebraic expressions, as well as evaluating and simplifying them. 2. **Ecuaciones de primer grado y ecuaciones simultáneas**: - Students will learn to construct first-degree equations from real-life situations and solve them through basic algebraic operations. - This module emphasizes direct applications of algebra in problem-solving, making it highly relevant for practical understanding. 3. **Polinomios**: - This module introduces operations with polynomials and teaches students how to simplify them effectively. - Understanding polynomials is crucial as they play a significant role in various branches of mathematics and real-world applications. 4. **Productos notables y factorización**: - Here, learners will explore notable products and the process of factoring algebraic expressions systematically. - These skills are essential for tackling more complex algebraic equations, especially quadratic ones. 5. **Ecuación de segundo grado**: - The final module culminates in understanding second-degree equations. - Students will learn to formulate these equations from practical contexts and solve them using both factorization and the quadratic formula, further solidifying their algebraic skills. ### Learning Experience The course is designed with clarity in mind, employing a mix of instructional videos, interactive quizzes, and practical assignments that reinforce the concepts covered. Each module builds on the last, ensuring a coherent learning journey that gradually enhances understanding and skill. ### Conclusion and Recommendation I highly recommend "Álgebra básica" for anyone looking to strengthen their algebraic skills. Whether you are a student preparing for advanced studies or someone interested in understanding the mathematical concepts underlying everyday phenomena, this course offers both foundational knowledge and practical applications. The structured approach, combined with relevant real-world applications, not only aids in comprehension but also fosters confidence in using algebra as a tool for problem-solving. Enroll in "Álgebra básica" on Coursera and unlock the doors to a deeper understanding of the mathematical language that describes the universe.

Syllabus

Introducción al álgebra

Al final de este módulo: • Reconocerás el álgebra como la gramática con la cual las ciencias plantean problemas y buscan soluciones a los mismos. • Escribirás expresiones algebraicas a partir de frases en el lenguaje común que expresen relaciones entre diferentes variables. • Valuarás expresiones algebraicas para números concretos y simplificarlas utilizando las reglas usuales de la aritmética de los números reales.

Al final de este módulo: • Plantearás ecuaciones de primer grado a partir de problemas concretos, para resolverlas usando operaciones algebraicas elementales.

Al final de este módulo: • Efectuarás operaciones aritméticas con polinomios a fin de simplificarlos.

Al final de este módulo: • Realizarás productos y factorizaciones de expresiones algebraicas de manera eficiente utilizando las reglas conocidas como productos notables, con la finalidad de emplearlas para resolver ecuaciones de segundo grado.

Al final de este módulo: • Plantearás ecuaciones de segundo grado a partir de situaciones concretas. Así mismo, podrás encontrar las soluciones de dichas ecuaciones ya sea factorizándolas como producto de dos ecuaciones de primer grado, o bien, utilizando la ecuación general de segundo grado.