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所在平台: Udemy |
课程主页: https://www.udemy.com/course/mr-sutton-presents-pre-calculus-honors/
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**课程名称：** Mr. Sutton Presents. Pre-Calculus Honors **课程概述：** 本课程提供一种便捷、自主学习优质数学知识的方式。Mr. Sutton 老师以清晰、简洁、不冗余的讲解风格，通过视频课程、PDF 课件、可打印的互动笔记，以及大量的练习题（附带 PDF 和视频解析）来帮助学生掌握以下内容： **课程内容：** * **二次函数 (Quadratics)：** 因式分解、配方法、二次公式、二次方程组。 * **多项式 (Polynomials)：** 因式分解、综合除法、有理根定理、截距式和标准式多项式函数图象、多项式函数构建、应用、二项式定理。 * **有理函数 (Rational Functions)：** 有理表达式化简、乘除法、有理函数加减法、复分数、有理方程、有理函数特征、图象、多项式与有理不等式。 * **指数与对数函数 (Exponential and Logarithmic Functions)：** 指数函数、复利、对数、对数定律、对数方程、指数方程、指数函数应用。 * **三角学 (Trigonometry)：** 直角三角形三角学、应用、三角形面积、正弦定理、余弦定理、余弦和正弦、其他三角函数、简单三角方程、三角二次方程、勾股定理恒等式、倍角公式。 * **极坐标与向量 (Polar Coordinates and Vectors)：** 极坐标与图象、向量、向量应用。 * **圆锥曲线与参数方程 (Conics and Parametrics)：** 圆锥曲线图象、分类、参数方程。 * **数列与级数 (Sequences and Series)：** 等差数列与级数、几何级数与求和符号、无穷几何级数、收敛与发散。 **教学特色：** * **视频课程：** 清晰、简洁、直击要点，提供必要的背景及应用，精选例题。 * **PDF 课件：** 提供每节课的 PDF 版本，方便回顾。 * **互动笔记：** 可打印的引导式笔记，帮助学生边学边记，避免重复书写。 * **海量练习：** 每节课配有 2-4 套练习题，提供可打印练习和 PDF / 视频解析。 * **章节测验：** 每章末提供包含多个概念的练习测验，并附带 PDF / 视频解析。 * **低成本：** 以尽可能低的价格提供高质量的学习内容。
Mr. Sutton Presents.Pre-Calculus HonorsLet's cut out the fluffy description and get right to the point. You are looking for a convenient, self-paced way to learn some quality mathematics. You want a teacher who speaks, writes and explains clearly and without rambling in his videos. You want lots of practice problems with answers you can look up. You want to pay as little as possible for all this!Here is what all of my courses offer:Clear, concise videos that get to the point quickly with just enough "back story" to provide context, just enough "application" to spice it up, and carefully chosen examples to model the process.PDF versions of each lesson if you get sick of my voice or want to look back without hunting through the video. All lessons were recorded with PowerPoint slides, so you don't have to decipher my handwriting.A printable guided notes handout allowing you to fill-in-the-blanks while you watch each lesson. Very helpful if you learn better by writing things down but want to avoid needless rewriting or a disorganized jumble!2-4 practice problem sets per lesson, including printable handouts AND both PDF and video solutions of every single practice problem - an extra 20-30 hours of video content!End-of-chapter practice quizzes (with handouts and PDF/video solutions) to review multiple concepts at once. Here is what this course covers:QuadraticsSolving by FactoringSolving by Completing the SquareQuadratic FormulaQuadratic SystemsPolynomialsSolving Polynomials by FactoringSynthetic DivisionRational Roots TheoremGraphing Polynomials in Intercept FormGraphing Polynomials in Standard FormWriting PolynomialsApplications of PolynomialsBinomial ExpansionRational FunctionsSimplifying Rational ExpressionsMultiplying and Dividing Rational ExpressionsAdding and Subtracting Rational FunctionsComplex FractionsRational EquationsFeatures of Rational FunctionsGraphing Rational FunctionsPolynomial and Rational InequalitiesExponential and Logarithmic FunctionsExponential FunctionsCompound InterestLogarithmsLaws of LogarithmsLogarithmic EquationsExponential EquationsApplications of Exponential EquationsTrigonometryRight Triangle TrigonometryApplications of Right Triangle TrigonometryTriangle AreaLaw of SinesLaw of CosinesCosine and SineThe Other Trigonometric FunctionsSimple Trigonometric EquationsTrigonometric Quadratic EquationsPythagorean IdentitiesDouble Angle FormulasPolar Coordinates and VectorsPolar Coordinates and GraphsVectorsApplications of VectorsConics and ParametricsGraphing Conic SectionsClassifying ConicsParametric EquationsSequences and SeriesArithmetic Sequences and SeriesGeometric Series and Sigma NotationInfinite Geometric SeriesConversion and Convergence
