【160集全集】美国数学课程-从小学到大学-中英cc字幕-数学英语
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【160集全集】美国数学课程-从小学到大学-中英cc字幕-数学英语
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03:57
数学概论 1-Introduction to Mathematics
06:44
小数字的加减法 2-Addition and Subtraction of Small Numbers
08:39
小数字的乘法和除法 3-Multiplication and Division of Small Numbers
06:20
理解分数、假分数和混合数 4-Understanding Fractions, Improper Fractions, and Mixed Numbers
06:14
大整数位值和估计 5-Large Whole Numbers Place Values and Estimating
04:30
小数符号和运算 6-Decimals Notation and Operations
04:21
使用百分比 7-Working With Percentages
03:37
分数、小数和百分比之间的转换 8-Converting Between Fractions, Decimals, and Percentages
05:21
大数的加减法9-Addition and Subtraction of Large Numbers
05:57
算术分配律 10-The Distributive Property for Arithmetic
03:19
大整数相乘 11-Multiplication of Large Numbers
06:28
大数除法长除法 12-Division of Large Numbers Long Division
05:42
负数 13-Negative Numbers
05:27
理解指数及其运算 14-Understanding Exponents and Their Operations
08:42
算术运算的顺序 15-Order of Arithmetic Operations PEMDAS
04:22
整除，质数和质因数分解 16-Divisibility, Prime Numbers, and Prime Factorization
05:54
最小公倍数(LCM) 17-Least Common Multiple (LCM)
05:40
最大公因子 18-Greatest Common Factor (GCF)
04:47
分数的加法和减法 19-Addition and Subtraction of Fractions
04:08
分数的乘法和除法 20-Multiplication and Division of Fractions
05:06
分析数据集范围，平均值，中位数，和众数 21-Analyzing Sets of Data Range, Mean, Median, and Mode
05:46
使用变量的代数导论 22-Introduction to Algebra Using Variables
04:04
代数的基本数性质 23-Basic Number Properties for Algebra
05:16
代数方程及其解 24-Algebraic Equations and Their Solutions
04:53
两边都有变量的代数方程 25-Algebraic Equations With Variables on Both Sides
06:46
代数文字题 26-Algebraic Word Problems
05:38
解决代数不等式 27-Solving Algebraic Inequalities
05:43
平方根，立方根，和其他的根 28-Square Roots, Cube Roots, and Other Roots
09:02
用根和指数简化表达式 29-Simplifying Expressions With Roots and Exponents
08:23
用根和指数解代数方程 30-Solving Algebraic Equations With Roots and Exponents
05:46
多项式介绍 31-Introduction to Polynomials
05:13
加减多项式 32-Adding and Subtracting Polynomials
05:33
用FOIL方法乘二项式 33-Multiplying Binomials by the FOIL Method
06:25
通过因式分解求解二次方程 34-Solving Quadratics by Factoring
09:38
通过平方完成来解二次方程 35-Solving Quadratics by Completing the Square
07:32
用二次公式解二次方程 36-Solving Quadratics by Using the Quadratic Formula
06:55
用综合除法和有理根求解高次多项式 37-Solving Higher-Degree Polynomials by Synthetic Division
09:22
操作有理表达式简化和操作 38-Manipulating Rational Expressions Simplification and Operations
09:30
在代数有序对和坐标平面中绘图 39-Graphing in Algebra Ordered Pairs and the Coordinate Plane
06:56
在代数中绘制线了解斜率和 Y 截距 40-Graphing Lines in Algebra Understanding Slopes
06:53
以斜率截距形式绘制线 (y = mx + b) 41-Graphing Lines in Slope-Intercept Form (y = mx + b)
05:07
标准形式的绘图线 (ax + by = c) 42-Graphing Lines in Standard Form (ax + by = c)
05:33
绘制平行线和垂直线 43-Graphing Parallel and Perpendicular Lines
04:47
求解两个方程和两个未知数 44-Solving Systems of Two Equations and Two Unknowns Graphing
10:21
绝对值定义、计算和绘图 45-Absolute Values Defining, Calculating, and Graphing
05:10
实数与虚数、有理数与无理数的数字类型是什么 46-What are the Types of Numbers Real vs.
09:01
几何学概论古希腊和毕达哥拉斯学派 47-Introduction to Geometry Ancient Greece
04:00
基本欧几里得几何点、线和平面 48-Basic Euclidean Geometry Points, Lines, and Planes
04:19
角度类型和角度关系 49-Types of Angles and Angle Relationships
07:24
欧几里得几何中的三角形类型 50-Types of Triangles in Euclidean Geometry
05:25
证明三角形的同余和相似性 51-Proving Triangle Congruence and Similarity
05:08
三角形平分线、中线和高度中的特殊线52-Special Lines in Triangles Bisectors, Medians, and Altitudes
06:20
三角形中段定理 53-The Triangle Midsegment Theorem
03:08
勾股定理 54-The Pythagorean Theorem
05:02
四边形和其他多边形的类型 55-Types of Quadrilaterals and Other Polygons
06:17
计算多边形的周长 56-Calculating the Perimeter of Polygons
05:08
圆半径、直径、弦、周长和扇形 57-Circles Radius, Diameter, Chords, Circumference, and Sectors
04:58
计算形状的面积 58-Calculating the Area of Shapes
06:39
证明勾股定理 59-Proving the Pythagorean Theorem
03:34
三维形状第 1 部分：计算表面积计60-Three-Dimensional Shapes Part 1 Types
07:32
三维形状第 2 部分：计算体积 61-Three-Dimensional Shapes Part 2 Calculating Volume
06:18
什么是函数 62-Back to Algebra What are Functions
07:23
以代数方式操作函数和评估复合函数 63-Manipulating Functions Algebraically and Evaluating
05:29
绘制代数函数域和范围、最大值和最小值 64-Graphing Algebraic Functions Domain and Range
05:54
变换代数函数移位、拉伸和反射 65-Transforming Algebraic Functions Shifting, Stretching
07:52
连续、不连续和分段函数 66-Continuous, Discontinuous, and Piecewise Functions
05:18
反函数 67-Inverse Functions
06:29
求两点之间距离的距离公式 68-The Distance Formula Finding the Distance Between Two Points
03:38
绘制圆锥曲线第 1 部分: 圆 69-Graphing Conic Sections Part 1 Circles
07:46
绘制圆锥截面第 2 部分: 椭圆 70-Graphing Conic Sections Part 2 Ellipses
06:33
以标准形式绘制圆锥截面第 3 部分: 抛物线 71-Graphing Conic Sections Part 3 Parabolas
08:30
绘制圆锥曲线第 4 部分: 双曲线 72-Graphing Conic Sections Part 4 Hyperbolas
05:58
绘制高次多项式 73-Graphing Higher-Degree Polynomials The Leading Coefficient Test
09:15
绘制有理函数及其渐近线 74-Graphing Rational Functions and Their Asymptotes
07:25
求解和绘制多项式和有理不等式 75-Solving and Graphing Polynomial and Rational Inequalities
07:34
绘制指数函数 76-Evaluating and Graphing Exponential Functions
05:59
对数函数绘图77-Logarithms Part 1 Evaluation of Logs and Graphing Logarithmic Functions
08:11
10 为底的对数、自然对数和基数变化特性 78-Logarithms Part 2 Base Ten Logs, Natural Logs
06:26
对数的属性，扩展对数表达式 79-Logarithms Part 3 Properties of Logs, Expanding Logarithmic
07:06
求解指数和对数方程 80-Solving Exponential and Logarithmic Equations
07:08
复数运算、复共轭和线性分解 -Complex Numbers Operations, Complex Conjugates
08:35
并集和交集的类型 82-Set Theory Types of Sets, Unions and Intersections
06:22
序列、阶乘和求和符号 83-Sequences, Factorials, and Summation Notation
11:12
理论概率、排列和组合 84-Theoretical Probability, Permutations and Combinations
15:52
三角学角度和弧度简介 85-Introduction to Trigonometry Angles and Radians
06:27
三角函数 正弦、余弦、正切、余割、正割和余切 86-Trigonometric Functions Sine, Cosine
07:18
记住三角单位圆的最简单方法 87-The Easiest Way to Memorize the Trigonometric Unit Circle
09:48
基本三角恒等式毕达哥拉斯恒等式和函数恒等式 88-Basic Trigonometric Identities Pythagorean Identitie
05:26
绘制三角函数 89-Graphing Trigonometric Functions
11:40
反三角函数 90-Inverse Trigonometric Functions
06:55
验证三角恒等式 91-Verifying Trigonometric Identities
09:14
三角函数和差分公式 92-Formulas for Trigonometric Functions SumDifference
09:29
求解三角方程 93-Solving Trigonometric Equations
08:28
正弦定律 94-The Law of Sines
05:14
余弦定律 95-The Law of Cosines
04:38
极坐标和绘制极坐标方程 96-Polar Coordinates and Graphing Polar Equations
10:46
参数方程 97-Parametric Equations
04:36
微积分导论 希腊人、牛顿和莱布尼茨 98-Introduction to Calculus The Greeks, Newton, and Leibniz
08:40
理解微分第 1 部分 : 切线的斜率 99-Understanding Differentiation Part 1 The Slope
05:30
了解微分第 2 部分：变化率 100-Understanding Differentiation Part 2 Rates of Change
05:31
微积分中的极限和极限定律 101-Limits and Limit Laws in Calculus
12:49
什么是推导幂律的导数 102-What is a Derivative Deriving the Power Rule
10:05
多项式函数的导数幂律、乘积律和商 R 103-Derivatives of Polynomial Functions Power Rule
11:53
三角函数的导数 104-Derivatives of Trigonometric Functions
07:57
复合函数的导数链式法则 105-Derivatives of Composite Functions The Chain Rule
12:29
对数和指数函数的导数 106-Derivatives of Logarithmic and Exponential Functions
08:41
隐微分 107-Implicit Differentiation
11:46
高阶导数及其应用 108-Higher Derivatives and Their Applications
07:29
微积分相关比率 109-Related Rates in Calculus
08:53
通过微分求局部最大值和最小值 110-Finding Local Maxima and Minima by Differentiation
06:17
绘图函数及其导数 111-Graphing Functions and Their Derivatives
13:07
微积分中的最优化问题 112-Optimization Problems in Calculus
10:55
理解极限和洛必达法则 113-Understanding Limits and L'Hospital's Rule
09:13
曲线下面积的积分 114-What is Integration Finding the Area Under a Curve
08:18
积分基本定理:重新定义积分 115-The Fundamental Theorem of Calculus Redefining Integration
09:38
积分的性质和定积分的计算 116-Properties of Integrals and Evaluating Definite Integrals
09:48
计算不定积分 117-Evaluating Indefinite Integrals
10:44
用三角函数计算积分 118-Evaluating Integrals With Trigonometric Functions
07:32
用代换法则积分 119-Integration Using The Substitution Rule
10:40
分步积分法 120-Integration By Parts
13:17
三角替换积分法 121-Integration By Trigonometric Substitution
15:55
微积分整合的高级策略 122-Advanced Strategy for Integration in Calculus
16:13
计算反常积分 123-Evaluating Improper Integrals
12:24
用积分法求两条曲线之间的面积 124-Finding the Area Between Two Curves by Integration
07:52
用积分法计算旋转固体的体积 125-Calculating the Volume of a Solid of Revolution by Integration
11:21
通过圆柱壳计算体积 126-Calculating Volume by Cylindrical Shells
07:40
积分的中值定理函数的平均127-The Mean Value Theorem For Integrals Average Value of a Function
07:25
数列和级数 128-Convergence and Divergence The Return of Sequences and Series
09:40
使用积分检验和比较检验计算总和129-Estimating Sums Using the Integral Test and Comparison Test
09:56
交替级数、收敛类型和比率检验 130-Alternating Series, Types of Convergence, and the Ratio Test
12:09
幂级数 131-Power Series
06:48
泰勒和麦克劳林级数 132-Taylor and Maclaurin Series
09:34
双曲函数定义、恒等式、导数和反函数 133-Hyperbolic Functions Definitions, Identities, Derivatives
07:34
三维坐标和右手定则 134-Three-Dimensional Coordinates and the Right-Hand Rule
06:41
介绍向量及其操作 135-Introduction to Vectors and Their Operations
10:17
向量点积 136-The Vector Dot Product
06:59
线性代数系统线性方程导论 137-Introduction to Linear Algebra Systems of Linear Equations
10:46
理解矩阵和矩阵符号 138-Understanding Matrices and Matrix Notation
05:27
矩阵的操作基本行运算 139-Manipulating Matrices Elementary Row Operations
10:36
矩阵类型与矩阵加法 140-Types of Matrices and Matrix Addition
06:46
矩阵乘法及其相关性质 141-Matrix Multiplication and Associated Properties
06:22
求矩阵行列式的值 142-Evaluating the Determinant of a Matrix
07:09
向量叉乘 143-The Vector Cross Product
06:46
逆矩阵及其性质 144-Inverse Matrices and Their Properties
12:00
利用克拉默法则求解方程组 145-Solving Systems Using Cramer's Rule
07:44
了解空间向量 146-Understanding Vector Spaces
08:42
子空间和跨度 147-Subspaces and Span
05:50
线性无关 148-Linear Independence
12:56
维数和基底 149-Basis and Dimension
10:06
基底的变化 150-Change of Basis
09:34
图像和内核 152-Image and Kernel
05:35
正交 153-Orthogonality and Orthonormality
11:48
正交化过程 154-The Gram-Schmidt Process
10:07
寻找特征值和特征向量 155-Finding Eigenvalues and Eigenvectors
17:10
对角化 156-Diagonalization
08:43
复矩阵、厄米矩阵和酉矩阵 157-Complex, Hermitian, and Unitary Matrices
09:00
二重和三重积分 158-Double and Triple Integrals
15:29
函数的偏导数和梯度 159-Partial Derivatives and the Gradient of a Function
10:57
向量场、散度和卷曲 160-Vector Fields, Divergence, and Curl
15:36
计算线积分 161-Evaluating Line Integrals
12:54
格林公式 162-Green's Theorem
06:37
计算曲面积分 163-Evaluating Surface Integrals
12:24
斯图姆定理 164-Stokes's Theorem
08:11
散度定理 165-The Divergence Theorem
06:31
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