数学视频 (Math Videos)

矩阵 (Matrices)

• 查找 3 x 3 矩阵的特征向量和特征值 在视频上 (Eigenvectors and Eigenvalues of a 3 by 3 Matrix)
• 在视频上查找 2 x 2 矩阵的特征向量和特征值 ((Eigenvectors and Eigenvalues of a 2 by 2 Matrix))
• 使用高斯的 3 x 3 矩阵的逆 -乔丹 (Inverse of 3 by 3 Matrix Using Gauss-Jordan )

代数学 (Algebra)

• 直线的斜截距形式 (Slope Intercept Form of a Line)
• 数学中的绝对值 ( Absolute Value in Mathematics )
• 因式分解平方表达式的差异 (Factoring the Difference of Squared Expressions)
• 因式分解两个平方和 (Factor a Sum of two Squares)
• 在对数和指数表达式之间转换 (Convert Between Logarithmic and Exponential Expressions)
• 简化对数 (Simplify Logarithms)
• 因式分解多变量表达式 (Factoring Multivariable Expressions)（具有多个变量的表达式）
• 因子和草图多项式 (Factor and Sketch Polynomials)
• 如何求解不那么简单的线性方程组？ (Solve a System of Non Linear Equations)
• 求美丽形状的面积 (Find the Area of a Beautiful Shape)

几何学 (Geometry)

• 解决直角三角形问题 (Solve Right Triangles Problems )
• 查找相似三角形的角度 (Find Angles of Similar Triangles)
• 计算相似三角形的边 (Calculate Sides of Similar Triangles)

方程 (Equations)

• 求解两边都有平方根的方程 (Solve Equations with Square Root on Both Sides)
• 求解具有绝对值的简单方程 (Solve Simple Equations with Absolute Value)
• 一侧求解绝对值方程 (Solve Equations with Absolute Value )，另一侧求解未知方程。

• 将一个复数求另一个复数的幂 (Raise a Complex Number to the Power of Another Complex Number)

功能 (Functions)

• 求函数的组合 (Composition of Functions)
• 二次函数图 (Graphs of Quadratic Functions)
• 有理函数图 (Graphs of Rational Functions)
• 求有理函数的定义域 (Domain of Rational Functions)
• 求有理函数的反函数 (Inverse of Rational Functions)

不平等现象 (Inequalities)

• 解决绝对值不等式 (Absolute Value Inequalities )
• 求解线性不等式 (Linear Inequalities)
• 求解多项式不等式 (Polynomial Inequalities)
• 求解有理不等式 (Rational Inequalities)

多项式 (Polynomials)

• 多项式的长除法 (Long Division of Polynomials)

方程组 (System of Equations)

• 求解 2 x 2 系统 消除方程 (Solve a 2 by 2 System of Equations by Elimination)
• 高斯消元法求解 3 x 3 方程组 (Gaussian Elimination to Solve a 3 by 3 System of Equations )< /A>.

• Find the Components of a Vector Given Magnitude and Direction
• Find the Dot Product and Angle Between two Vectors
• Find the Cross Product of two Vectors
• Find the Length of a Vector

结石 (Calculus)

• 计算 a^x 的不定积分 (Evaluate the Indefinite Integral of a^x)
• 什么是函数的极限？ (What is the Limit of a Function?)
• 什么是函数的无限极限？ (What are Infinite Limits of Functions?)
• 什么是函数的导数？ (What is the Derivative of a Function?)
• 什么是对数微分？ (What is the logarithmic differentiation?)
• 函数导数的主要特征是什么？ (What are the Main Characteristics of the Derivative of a Function?)
• 如何求绝对值函数的导数？ (Find the derivative of an Absolute Value Function)
• 使用定义求 x (x^n) 幂导数的证明 (Proof to Find the derivative of power of x (x^n) using the definition)
• 如何在函数微分中使用链式法则？ (Chain Rule in the Differentiation of Functions)
• 矩形的最大面积问题 (Maximum Area of Rectangle Problem)
• 一阶导数概念 (First Derivative Concept)
• 包含音乐的一阶导数动画 (Animation of the First Derivative Including Music)
• 一阶导数和二阶导数的动画，包括音乐 (Animation of the First Derivative and Second Derivatives Including Music)

三角学 (Trigonometry)

• 求解仅具有两条已知边的三角形 - 挑战 (olve a Triangle with Two Known Sides Only)
• 单位圆上的特殊角度 (Special Angles on the Unit Circle)
• 单位圆上特殊角的正弦和余弦 (Sine and Cosine of Special Angles on the Unit Circle)
• 标准位置的角度 (Angles in Standard Position)

应用数学 (Applied Mathematics)

• 数学视频 - 抛物面反射器如何工作？ (How Does a Parabolic Reflector Work)
• 数学视频 - 驻波 (Standing Waves)

有挑战性的数学题 (Challenging Math Questions)

• 求解底数未知的对数方程 (Solve Logarithmic Equation with Unknown Base)