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所在平台: Udemy |
课程主页: https://www.udemy.com/course/fundamental-of-arithmetic-processes/
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**课程名称：** Arithmetic And Algebraic Processes (算术与代数过程) **课程概述：** 本课程是针对所有学习算术与代数过程的学生的双重重要课程，涵盖了基础和进阶内容。 **第一、二部分：算术过程** * **第一讲：** 介绍数学中不同类型的数、数字的位值系统、数的因子、最小公倍数（LCM）和最大公约数（HCF/GCD）。通过生动的例子进行讲解。 * **第二讲：** 延续数的类型介绍，重点讲解不同类型的分数、小数的定义及运算。涉及有理数（directed numbers）的概念及图示。此外，还包括普通数与科学计数法的转换、数的取整规则以及二进制数系统转换。 * **第三讲：** 深入讲解最大公约数（HCF/GCD）和最小公倍数（LCM）、质因数以及公质因数。 * **第五讲：** 介绍1到10的整除规则（divisibility rules）及示例，并对算术过程进行综合测验。 **第四部分：应用题** * 将算术运算应用于解决应用题，引出算术表达式和代数方程。 **第三部分：代数过程** * **第六讲：** 讲解因式分解（factorization）。 * **第七讲：** 涵盖表达式和方程的化简（simplification）、展开（expansion）和代入（substitution）。课程还处理涉及带分数和不带分数的代数方程，以及如何识别未定义（undefined）的代数式，并找到代数函数、表达式和方程的零点（zeros）。 * **第八讲：** 专注于将应用题转化为代数表达式和代数方程。 **目标学员：** 适合所有希望在算术和代数领域打下坚实基础的学生。
This is an important dual-course for all level of students studying arithmetic and algebraic processess. It comprises the basic and advanced content of numbers and numerations for section one and two which are mainly for arithmetic processes. In lecture one, the main areas include learning different types of numbers we have in mathematics, number digit placement system, factors of a number or set of numbers, lowest common factor or multiple of a set of numbers and highest common factor or multiple of a set of numbers. Examples are given to make the lecture more lively. In lecture two of section two is a continuation of type of numbers. Different types of fractions are covered here. Definition of decimal number and performing arithmetic operations using decimal numbers, directed numbers including graphs are in this section. Converting ordinary numbers to standard form and vice versa, rounding numbers including rules and binary number system conversion with examples helps to round up lecture two. Lecture three, extensively, includes classes in highest common factor (H.C.F) and lowest common factor (L.C.M) , prime factor and common prime factor of number or set of numbers. Word problems leading to arithmetic expressions and algebraic equations are in section four. Also,the rule of divisibility of numbers from 1 to 10 with examples are in lecture 5 with the general quiz for arithmetic processes.Algebraic processes are section 3, explicitly includes all you need to excel in this branch of mathematics. Major topics in section are expressions , functions and equations. The sub-topics includes factorization which is in lecture 6 , simplification , expansion and substitution of expressions and equations which is in lecture 7. This class treated areas involving algebraic equations with fractions and non-fractions. Also, it includes how to identify if a given algebra is undefined and finally, how to find the zeros of algebraic function, expression and equation. Lecture in section 8 focuses on word problems leading to algebraic expressions and equations.
