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所在平台: Udemy |
课程主页: https://www.udemy.com/course/mastering-exponents-exponential-expressions-and-equations/
课程评论：没有评论
课程名称：掌握指数、指数表达式和方程 课程概述：你是否在数学或科学课中对指数感到困惑？这个课程将帮助你掌握在各种情况下使用指数的能力。了解指数的基本概念以及它们在数学和科学应用中的使用规则。本课程旨在增强你在指数及其应用方面的信心，为你现有和未来的数学和科学课程提供补充。 课程内容包括： - 学习指数的基本知识 - 应用指数的规则 - 通过科学计数法表示量并解决问题，扩展对指数的理解 - 解指数方程（涉及指数的方程） - 简化指数表达式（涉及指数的表达式） 指数是强大的数学工具！例如，我们可以用一个指数将庞大的数字 12,157,665,459,056,928,801 简化为仅由两个数字组成的紧凑表达式，写作 920。此外，如果知道一个立方体的体积是 2744 立方英尺，我们可以在几秒钟内轻松找到该立方体的边长是14英尺！究竟如何实现如此强大的简化和快速计算？来看看这些答案及更多内容吧！将这些实用工具应用于解决现实生活中的问题以及高中的数学和科学课程中遇到的挑战。 课程目标： 所有代数基础的数学课程及大多数科学课程都需要明确理解指数，因此学习指数的基本原理将为你打开新的理解世界，为你在学业上提供优势。该课程专为正开始学习指数的高中和大学生设计，也适合需要复习指数基本概念和应用的学习者。掌握这些基本概念将为理解其它数学主题（如二次函数、多项式、指数函数和对数）打下基础。 除了指数基础、指数规则、科学计数法、解指数方程和简化指数函数等主题外，课程还包含许多附加内容： - 使用科学计算器评估指数表达式 - 指数的负幂、零指数 - 非整数底数和指数（以小数和分数表示的指数）及其产生的“中间值” - 代入数值评估指数表达式 - 在指数中使用变量（如 x 和 y） - 幂（底数和指数的组合） - 数字的根和分母中包含根式的有理化 - 将幂和根结合成单一的（分数）指数 课程设计包括课程讲解、简短测验、理解检查以及每节的练习题，帮助你评估学习进度。课程材料提供超过200个练习题，答案可以通过提供的答案键进行检查，或可以观看视频与我一起解决你遇到的问题。
Are you struggling with exponents in your mathematics or science class? This course will help you to master the use of exponents in a variety of contexts. Learn the basics of exponents and the rules that govern their use in mathematical and scientific applications. Develop confidence with exponents and their applications in this course designed to supplement your existing and future mathematics and science classes Included in this course: Learn basics of exponentsApply rules governing exponents Extend your understanding of exponents by Using Scientific Notation to represent quantities and solve problemsSolving exponential equations (equations involving an exponent)Simplifying exponential expressions (expressions involving exponents) Exponents Are Powerful Mathematical Tools! Believe it or not, we can use an exponent to reduce the enormously large number 12,157,665,459,056,928,801 to a compact expression involving only 2 numbers! It is written simply as 920 Also, if we know the volume of a cube is 2744 cubic feet, we can work backward to find that the cube has a side length of exactly 14 feet in only a matter of seconds! How is such a powerful simplification involving a very large number and finding the side length of a cube in only a few seconds possible? Come and see these answers and much, much more! Put these useful tools to work to solve real-life problems in addition to those found in your high school and college level mathematics and science courses. Content and Overview All Algebra-based mathematics courses and most science courses require a clear understanding of exponents, so learning the fundamental principles of exponents opens up a new world of understanding for you and gives you a leg up in your studies. This course was designed for high school and college level students who are beginning to work with exponents, and those who need a review of fundamentals and applications of exponents. As you master these fundamental concepts, you will form the basis for mastering other mathematical topics such as quadratic functions, polynomials, exponential functions and logarithms. In addition to the stated topics of exponent basics, rules of exponents, Scientific Notation, solving exponential equations and simplifying exponential functions, there are several additional topics included in this course. These include: use of a scientific calculator to evaluate exponential expressions, powers, negative exponentsthe Zero Exponentnon-integer bases and exponents (exponents represented as decimals and fractions) and how they produce "intermediate values"substituting in numerical values to evaluate exponential expressionsuse of variables (such as x and y) in exponentspowers (the combination of a base and an exponent)roots and radicals of numbers, including specially named rootsthe Principal Square Root (when we only recognize a single square root)rationalizing denominators containing radicalscombining powers and roots into a single (fractional) exponent The course is designed for you with lessons, short quizzes, checks for understanding and a set of practice problems in each section for you to assess your progress. Over 200 practice problems are provided with the course materials. Answers can be checked using the provided answer keys or you can follow along with me on video as I work out the solutions to problems you are having trouble with.
