投稿

【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

99.1万

4701

2022-08-11 11:50:56

www.youtube.com 【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

IPX特土发消息

双语吃不上饭，现在就是全新的我！国家一级抬杠运动员已读不回专用户晚睡协会常任理事拖拉机十级职业车手拖延症俱乐部顶级VIP

片头

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

顶部