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所在平台: Udemy |
课程主页: https://www.udemy.com/course/pre-calculus-explained/
课程评论：没有评论
课程名称：预备微积分（Pre-Calculus EVERYTHING Explained） 课程概述：这门课程将全面讲解预备微积分的各个主题，涵盖整个课程大纲的内容。我们将从三角学开始，介绍三角比、单位圆以及反三角函数，并提供一些技巧，帮助学员避免死记硬背单位圆中的数值。 接下来，我们将讨论多项式，学习加法、减法、乘法和长除法等算术运算，以及因式分解、二项式展开、二次多项式等更深入的内容。 课程会进一步讲解函数，探讨父函数及其图形、函数的变换，如何绘制有理函数和倒数函数，包括复合函数和反函数的内容。 随后，我们将学习向量，研究向量的算术运算、如何绘制向量、单位向量及大量练习。 接下来是矩阵部分，我们将学习矩阵的阶、加法、减法和乘法等算术运算，接着介绍行列式、逆矩阵、使用矩阵解方程组以及矩阵变换。 课程还涵盖锥曲线，讨论圆的方程、部分及如何绘制抛物线、椭圆和双曲线。 之后，我们将学习数列与级数，研究算术和几何数列，以及算术和几何级数。 接下来将重点讲解概率与组合，研究计数原理、乘法规则、互斥事件、重叠事件、排列与组合以及使用帕斯卡三角形计算概率。 最后，我们会讨论虚数与复数，学习复数的共轭、算术运算、共轭零定理、复平面、复数的极坐标、欧拉公式、以极坐标形式划分复数及复数的幂。 这门课程为学习微积分奠定了坚实的基础，适合希望深入理解数学概念的学员。
The course of Pre Calculus by learn do explain includes all the topic for the entire class curriculumWe will start with:Trigonometry, where I introduce the trigonometric ratios, the unit circle, and the inverse trigonometric functions. Additionally, I give you some tips so you don't memorize any of the values from the unit circleThen we will move to Polynomials, where I introduce arithmetic operations such as addition, subtraction, multiplication and long division, as well as factorization, binomial expansion, quadratic polynomials, and much moreThe next topic would be functions, where we will talk about parent function and their graphs, transformation of functions, we will learn how to graph the rational function and reciprocal function, and then composite functions and inverse functionsThe next topic is vectors. We will study the arithmetic operation of vectors, graph a vector, the unit vector, and tons of exercisesWith this, we will start with the topic of matrices. We will study the order of a matrix, the arithmetic operations such as addition subtraction and multiplication of matrices, then we will learn the determinant, inverse matrices, solve systems of equations using matrices and transformations using matricesThe next topic would be conic sections, where we will talk about the equation of the circle. The equation, parts and how to graph parabolas, ellipse, and hyperbolasThen we will move on to sequences and series. We will study arithmetic and geometric sequences as well as arithmetic and geometric seriesAfter this, we will start with probability and combinatorics, where we will study the fundamental of counting principle, the multiplication rule, mutually exclusive events, overlapping events, permutation and combinations, and probability using pascal's triangleFinally, we will talk about imaginary and complex numbers, where we will study the conjugates of complex numbers, arithmetic operations, conjugate zero theorem, the complex plane, polar coordinates of complex numbers, Euler's formula, dividing complex numbers in polar forms, and power of complex numbers in polar forms
