Math 100 ( Precalculus - AUM )

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课程主页: https://www.udemy.com/course/math-100-precalculus-aum/

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课程名称:数学100(前导微积分 - AUM) 课程概述:该课程旨在为学生提供代数概念和技巧的基础,增强数学理解和解决问题的能力。课程内容包括: - **第0章:实数集** - 探讨实数的分类和性质,为后续学习奠定基础。 - **第0.2章:实数的性质** - 介绍支配实数行为的基本规则。 - **第0.3章:指数与根式** - 学习如何处理幂和根。 - **第0.4章:代数表达式的运算** - 指导学生简化和组合代数表达式。 - **第0.5章:因式分解** - 学习这一简化代数方程的重要技能。 - **第0.6章:分数** - 涉及代数分数的运算。 - **第0.7章:方程与线性方程** - 教授如何求解单变量线性方程。 - **第0.8章:二次方程** - 扩展知识至二次方程的求解方法。 - **第1.2章:线性不等式** - 讲解如何处理涉及代数表达式的不等式。 - **第1.4章:绝对值** - 探讨代数和几何中都很重要的绝对值概念。 - **期末复习** - 回顾所有关键概念,确保深入理解并为评估做好准备。 本课程通过系统的学习和复习,帮助学生打下坚实的数学基础,使其能够在未来的学习和工作中更加自信地运用数学知识。

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Course contentCH 0.1: Sets of Real Numbers CH 0.2: Some Properties of Real NumbersCH 0.3: Exponents and RadicalsCH 0.4: Operations with algebraic expressionsCH 0.5: FactoringCH 0.6: FractionsCH 0.7: Equations, Linear EquationsCH 0.8: Quadratic EquationsCH 1.2: Linear InequalitiesCH 1.4: Absolute valueFinal ReviewThis course provides an essential foundation in algebraic concepts and techniques, aimed at enhancing mathematical understanding and problem-solving skills. Starting with Chapter 0, we will explore the Sets of Real Numbers, laying the groundwork for understanding various classifications and properties of numbers. In Chapter 0.2, we will dive into the Properties of Real Numbers, covering fundamental rules that govern their behavior. Next, Chapter 0.3 focuses on Exponents and Radicals, where we will learn how to manipulate powers and roots.Chapter 0.4 introduces Operations with Algebraic Expressions, guiding students on how to simplify and combine expressions. Building on this, Chapter 0.5 tackles Factoring, a critical skill for simplifying algebraic equations. In Chapter 0.6, we will explore Fractions, including operations involving algebraic fractions.We will then move on to solving different types of equations. Chapter 0.7 focuses on Equations and Linear Equations, teaching how to solve single-variable linear equations. In Chapter 0.8, we will expand this knowledge by covering Quadratic Equations and methods of solving them.In the advanced chapters, Chapter 1.2 delves into Linear Inequalities, explaining how to handle inequalities involving algebraic expressions. Chapter 1.4 introduces the concept of Absolute Value, an important topic in both algebra and geometry.The course concludes with a Final Review that revisits all key concepts to ensure thorough understanding and preparation for assessments.

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