Algebra 2 Made Simple!

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Coursera 上的“代数 II 简明教程!”课程旨在以最简单、最直接、最实用、最清晰的方式帮助学习者掌握代数 II 的知识。该课程共有 10 个部分,64 个视频课程,每个视频都包含概念讲解和分步解题过程。 课程内容涵盖: * **线性方程与函数**:函数及其图象、线性函数与函数符号、斜率与变化率、线性方程的快速绘图、直线方程的编写、直接变异、散点图与相关性。 * **线性方程组**:通过图象、代入法、消元法求解线性方程组,以及三元线性方程组的图象与求解。 * **不等式与绝对值**:解线性不等式、二元线性不等式、线性不等式组,以及绝对值方程、绝对值不等式和绝对值函数。 * **二次函数与因式分解**:标准型、顶点式或截距式的二次函数图象,三项式因式分解、特殊模式的因式分解,通过开方、配方法、二次公式和判别式求解二次方程,以及复数。 * **多项式与多项式函数**:指数性质、多项式函数与图象、多项式的加减乘除,三次多项式因式分解及高次多项式。 * **幂、根与基数**:N 次方根与有理指数,有理指数的性质,解根式方程,函数运算与复合函数,反函数,以及根号函数和立方根函数的图象。 * **指数与对数函数**:指数增长与衰减,指数函数建模,对数与对数函数,对数性质,以及指数方程与对数方程的求解。 * **有理方程与函数**:反变异与联合变异,有理函数图象 ,有理表达式的化简与乘除,有理表达式的加减,以及有理方程的求解。 * **离散数学**:矩阵运算、矩阵乘法,利用逆矩阵解线性方程组,序列与级数介绍,算术序列与级数,几何序列与级数,以及无穷几何级数。 * **圆锥曲线**:距离公式与中点公式,抛物线、圆、椭圆、双曲线,以及平移圆锥曲线的图象与方程编写、圆锥曲线分类。 完成此课程将有助于学习者成为代数 II 专家,并为学习三角学和微积分等更具挑战性的数学课程打下坚实基础。

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课程详情

Algebra 2 Made Simple!To maximize your learnings is to know the easiest way. Go at your own pace. Straight to the point, practical, short, and crystal clear teaching style. There are a total of 10 sections and 64 video lessons. Each lesson has concepts and step by step solutions to several math problems. Here is the Algebra 2 Made Simple! curriculum:S01- Linear Equations and FunctionsS01 L01- Functions and Their GraphsS01 L02- Linear Functions and Function NotationS01 L03- Slope and Rate of ChangeS01 L04- Quick Graphs of Linear EquationsS01 L05- Writing Equations of LinesS01 L06- Direct VariationS01 L07- Scatter Plots and CorrelationS02- Systems of Linear EquationsS02 L01- Solving Linear Systems by GraphingS02 L02- Solving Linear Systems by SubstitutionS02 L03- Solving Linear Systems by Linear CombinationsS02 L04- Graphing Linear Equations in Three VariablesS02 L05- Solving Systems of Linear Equations in Three VariablesS03- Inequalities and Absolute ValueS03 L01- Solving Linear InequalitiesS03 L02- Linear Inequalities in Two VariablesS03 L03- Systems of Linear InequalitiesS03 L04- Solving Absolute Value EquationsS03 L05- Solving Absolute Value InequalitiesS03 L06- Absolute Value FunctionsS04- Quadratic Functions and FactoringS04 L01- Graphing Quadratic Functions in Standard FormS04 L02- Graphing Quadratic Functions in Vertex or Intercept FormS04 L03- Factoring TrinomialsS04 L04- Factoring Using Special PatternsS04 L05- Solving Quadratic Equations by Finding Square RootsS04 L06- Complex NumbersS04 L07- Completing the SquareS04 L08- The Quadratic Formula and The DiscriminantS05- Polynomials and Polynomial FunctionsS05 L01- Properties of ExponentsS05 L02- Polynomial Functions and Their GraphsS05 L03- Adding and Subtracting PolynomialsS05 L04- Multiplying and Dividing PolynomialsS05 L05- Factoring Cubic PolynomialsS05 L06- Polynomials of Greater DegreeS06- Powers, Roots, and RadicalsS06 L01- Nth Roots and Rational ExponentsS06 L02- Properties of Rational ExponentsS06 L03- Solving Radical EquationsS06 L04- Function Operations and Composition of FunctionsS06 L05- Inverse FunctionsS06 L06- Graphing Square Root and Cube Root FunctionsS07- Exponential and Logarithmic FunctionsS07 L01- Exponential GrowthS07 L02- Exponential DecayS07 L03- Modeling with Exponential FunctionsS07 L04- Logarithms and Logarithmic FunctionsS07 L05- Properties of LogarithmsS07 L06- Solving Exponential and Logarithmic EquationsS08- Rational Equations and FunctionsS08 L01- Inverse and Joint VariationS08 L02- Graphing Rational FunctionsS08 L03- Simplifying and Multiplying Rational ExpressionsS08 L04- Dividing Rational ExpressionsS08 L05- Adding and Subtracting Rational ExpressionsS08 L06- Solving Rational EquationsS09- Discrete MathematicsS09 L01- Matrix OperationsS09 L02- Multiplying MatricesS09 L03- Solving Linear Systems Using Inverse MatricesS09 L04- An Introduction to Sequences and SeriesS09 L05- Arithmetic Sequences and SeriesS09 L06- Geometric Sequences and SeriesS09 L07- Infinite Geometric SeriesS10- Conic SectionsS10 L01- Distance and Midpoint FormulasS10 L02- ParabolasS10 L03- CirclesS10 L04- EllipsesS10 L05- HyperbolasS10 L06- Graphing and Writing Equations for Translated Conic SectionsS10 L07- Classifying ConicsThe course will help you become an expert in Algebra 2 and prepare you for more challenging math courses such as Trigonometry and Calculus.Please enroll today!

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