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所在平台: Udemy |
课程主页: https://www.udemy.com/course/precalculus-for-high-school-and-college-level-students/
课程评论：没有评论
课程名称：高中及大学生的预备微积分 课程概述：本课程相当于高中和大学水平的预备微积分，包含38小时的视频讲座，并提供备忘单和答案的练习考试，所有资料均为PDF格式。课程分为两个主要部分：代数和三角学。每个部分结束时都有一个视频测验，您可以随时暂停。 课程要求： - 准备一本代数1A的笔记本以便做笔记 - 学习的动力 课程内容： - 指数的性质 - 科学记数法 - 有理化分母和分子 - 复数 - 简化复分数 - 一一函数及其反函数 - 函数的组合与组合 - 寻找最小公倍数 - 求解非有理形式的方程 - 求解有理形式的方程 - 图像绘制：分段函数、平方根函数、多项式和有理函数 - 学习线性函数及其图像 - 线性方程的求解 - 平行线和垂直线 - 与线性函数相关的应用题 - 求解两元和三元线性方程组 - 克拉默法则 - 线性不等式 - 绝对值在方程和不等式中的应用 - 所有常见的因式分解规则 - 二次函数的所有内容：顶点和标准形式的图像，平方完成、x截距形式的图像、与二次函数相关的应用题 - 测试点法 - 几何序列和算术序列的求和 - 各种类型的三角形，如直角三角形、钝角三角形、锐角三角形、等腰三角形、 scalene三角形和等边三角形 - 学习弧度与度数的换算 - 学习度、分、秒的换算 - 学习六种三角函数和单位圆 - 学习特殊直角三角形 - 学习参考角 - 学习任意角的三角函数 - 学习基本恒等式 - 验证三角恒等式 - 学习和差公式 - 学习双角和半角恒等式 - 学习正弦和余弦的图像 - 学习正切和余切的图像 - 学习反三角函数 - 学习正弦和余弦定律 - 学习极坐标方程 - 学习复数的幂和根 - 学习复数的三角形形式 该课程旨在帮助学生全面理解预备微积分的基本概念，并为进一步的数学学习打下扎实的基础。
This course is equivalent to high school level and college level precalculus. This course has 38 hours of video lectures with cheat sheets, and practice exams with answers all in pdf form. This course has two main sections algebra and trigonometry section. Each section is ended with a video quiz that you can pause anytime.Requirements For This Course:Algebra 1A notebook to write good notesThe drive to learnTopics That Will Be Covered In This Course:properties of exponentsscientific notationrationalizing denominator and numeratorcomplex numberssimplify complex fractionone to one function and inversescomposition and combination of functionsfinding LCDsolving equations in non rational formsolving equation in rational formgraphing: piecewise, square roots, polynomials, and rational functionslearn everything about linear function and its graphsfind the equation of a linear lineparallel and perpendicular linesword problems related to linear functionlearn to solve system of linear equations in two and three variablescramer's rulelinear inequalitiesabsolute value in equations and inequalitiesall the factoring rules you could think ofeverything about quadratic function such as: graphing in vertex and standard form, what they look like physically, completing the square, graphing in x-intercept form, word problems involving quadratic functionstest-point methodgeometric and arithmetic sequencessummation of arithmetic and geometric sequenceslearn about different type of triangles such as: right triangle, obtuse triangle, acute triangle, isosceles triangle, scalene triangle, equilateral trianglelearn radian and degree measure with conversionlearn degree, minute, second conversionlearn six trigonometry functions and the unit circlelearn special right triangleslearn reference anglelearn trigonometric function of any anglelearn fundamental identitieslearn verifying trigonometric identitieslearn sum and difference formulaslearn double angle and half-angle identitieslearn graphing sine and cosinelearn graphing tangent and cotangent graphlearn inverse trigonometric functionslearn law of sine and cosinelearn polar equationslearn powers and roots of complex numberslearn trigonometric form of complex numbers
