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金融学 Finance and capital markets

  • 对冲基金很坏吗 Are Hedge Funds Bad 资本结构差异基础 Basic Capital Structure Differences 期货溢价和现货溢价回顾 Contango and Backwardation Review
    对冲基金结构和收费 Hedge Fund Structure and Fees 摊销和折旧 Amortization and Depreciation 现货溢价 Backwardation
    交易所交易基金(ETF) Exchange Traded Funds (ETFs) 现金流中考虑折旧 Depreciation in Cash Flow 期货溢价 Contango
    封闭式共同基金 Closed-End Mutual Funds 卡车折旧 Depreciating the truck 租房和买房对比第2部分 Renting vs. buying a home (part 2)
    房价上涨谜团第2部分 Housing price conundrum (part 2) 卡车成本导致经营业绩不一致 Expensing a Truck leads to inconsistent performance 期货和远期曲线 Futures and Forward Curves
    开放式共同基金赎回 Open-End Mutual Fund Redemptions 应付账款增加的例子 Doing the example with Accounts Payable growing 期货保证金机制验证 Verifying Hedge with Futures Margin Mechanics
    开放式共同基金(部分1) Open-Ended Mutual Fund (Part 1) 资产负债表和损益表关系 Balance Sheet and Income Statement Relationship 期货保证金机制 Futures Margin Mechanics
    有限责任和重复征税是否公平 Is Limited Liability or Double Taxation Fair 租房和买房(细节分析) Renting vs. Buying (detailed analysis) 货交易的动机 Motivation for the Futures Exchange
    公司和有限责任 Corporations and Limited Liability 权责发生制和收付实现制会计对比 Comparing Accrual and Cash Accounting 期货介绍 Futures Introduction
    办公室租用粗略计算 Back of Envelope Office Space Conundrum 权责发生制会计 Accrual Basis of Accounting 远期合约介绍 Forward Contract Introduction
    定期寿险和死亡概率 Term Life Insurance and Death Probability 收付实现制会计 Cash Accounting 租房和买房 Renting vs. Buying a home
    替代性最低税 Alternative Minimum Tax 期货合约套利II Arbitraging Futures Contracts II 现值2 Present Value 2
    税款减免简介 Tax Deductions Introduction 期货合约套利 Arbitraging Futures Contract 现值1 Introduction to Present Value
    公允价值会计 Fair Value Accounting 远期结算价格下限 Lower Bound on Forward Settlement Price 利息2 Interest (part 2)
    伦敦银行同业拆放利率 LIBOR 远期结算价格上限 Upper Bound on Forward Settlement Price 利息介绍 Introduction to interest
  • 对冲基金很坏吗 Are Hedge Funds Bad
    对冲基金结构和收费 Hedge Fund Structure and Fees
    交易所交易基金(ETF) Exchange Traded Funds (ETFs)
    封闭式共同基金 Closed-End Mutual Funds
    房价上涨谜团第2部分 Housing price conundrum (part 2)
    开放式共同基金赎回 Open-End Mutual Fund Redemptions
    开放式共同基金(部分1) Open-Ended Mutual Fund (Part 1)
    有限责任和重复征税是否公平 Is Limited Liability or Double Taxation Fair
    公司和有限责任 Corporations and Limited Liability
    办公室租用粗略计算 Back of Envelope Office Space Conundrum
    定期寿险和死亡概率 Term Life Insurance and Death Probability
    替代性最低税 Alternative Minimum Tax
    税款减免简介 Tax Deductions Introduction
    公允价值会计 Fair Value Accounting
    伦敦银行同业拆放利率 LIBOR
    资本结构差异基础 Basic Capital Structure Differences
    摊销和折旧 Amortization and Depreciation
    现金流中考虑折旧 Depreciation in Cash Flow
    卡车折旧 Depreciating the truck
    卡车成本导致经营业绩不一致 Expensing a Truck leads to inconsistent performance
    应付账款增加的例子 Doing the example with Accounts Payable growing
    资产负债表和损益表关系 Balance Sheet and Income Statement Relationship
    租房和买房(细节分析) Renting vs. Buying (detailed analysis)
    权责发生制和收付实现制会计对比 Comparing Accrual and Cash Accounting
    权责发生制会计 Accrual Basis of Accounting
    收付实现制会计 Cash Accounting
    期货合约套利II Arbitraging Futures Contracts II
    期货合约套利 Arbitraging Futures Contract
    远期结算价格下限 Lower Bound on Forward Settlement Price
    远期结算价格上限 Upper Bound on Forward Settlement Price
    期货溢价和现货溢价回顾 Contango and Backwardation Review
    现货溢价 Backwardation
    期货溢价 Contango
    租房和买房对比第2部分 Renting vs. buying a home (part 2)
    期货和远期曲线 Futures and Forward Curves
    期货保证金机制验证 Verifying Hedge with Futures Margin Mechanics
    期货保证金机制 Futures Margin Mechanics
    货交易的动机 Motivation for the Futures Exchange
    期货介绍 Futures Introduction
    远期合约介绍 Forward Contract Introduction
    租房和买房 Renting vs. Buying a home
    现值2 Present Value 2
    现值1 Introduction to Present Value
    利息2 Interest (part 2)
    利息介绍 Introduction to interest
  • 货币银行学 Banking and money

  • 公司度量与估值 Corporate measure and valuation

    新加坡数学 Singapore Math

    加州标准考试:几何 CA Geometry

    Python编程 Python Programming

  • 微观经济学 Microeconomics

  • 欧洲和美国历史 European and US history

  • 算术和代数预备:算术的性质 Arithmetic and pre-algebra: Arithmetic properties

    有机化学 Organic Chemistry

  • 有机物的命名例题3 More Organic Chemistry Naming Examples 3 胺的命名简介 Amine Naming Introduction 亲核性 Nucleophilicity (Nucleophile Strength)
    有机物的命名例题1 More Organic Chemistry Naming Examples 1 苯的溴化 Bromination of Benzene 溶剂对SN1和SN2反应的影响 Solvent Effects on Sn1 and Sn2 Reactions
    更正:2-丙基庚烷不叫这个名字! Correction-2-Propylheptane should never be the name 芳香烃的亲电取代反应 Electrophilic Aromatic Substitution 酸催化加成反应 Addition of Water (Acid-Catalyzed) Mechanism
    烯烃的顺反和E-Z命名 Cis-Trans and E-Z Naming Scheme for Alkenes 简单的苯的衍生物的命名 Naming Benzene Derivatives Introduction 甲基环己烷的纽曼式 Double Newman Diagram for Methcyclohexane
    卤代烃的命名 Naming Alkyl Halides 芳香性与休克尔定律 Aromatic Compounds and Huckel's Rule 纽曼投影式 Newman Projections
    羟醛反应 Aldol Reaction 环醚的SN2和SN1开环反应 Sn1 and Sn2 epoxide opening discussion sp3杂化轨道与σ键 sp3 Hybridized Orbitals and Sigma Bonds
    酰氯的胺化 Amide Formation from Acyl Chloride 环醚的SN2开环反应 Ring-opening Sn2 reaction of expoxides 弗氏酰基化反应补充 Friedel Crafts Acylation Addendum
    羧酸衍生物的稳定性 Relative Stability of Amides Esters Anhydrides and Acyl Chlorides 环醚的命 Cyclic ethers and epoxide naming 弗氏酰基化反应 Friedel Crafts Acylation
    酰胺、酸酐、酯和酰氯 Amides, Anhydrides, Esters and Acyl Chlorides 醚的简介和命名 Ether Naming and Introduction 酮的命名 Ketone Naming
    酰氯的形成 Acid Chloride Formation 醇的性质 Alcohol Properties 醛的简介 Aldehyde Introduction
    费舍尔酯化反应 Fisher Esterification 醇 Alcohols Sn1反应中的胺 Sn1 Amine Reaction
    羧酸的命名 Carboxylic Acid Naming 自由基反应 Free Radical Reactions Sn2反应中的胺的亲核作用2 Amine in Sn2 part
    羧酸的简介 Carboxlic Acid Introduction E1、E2、SN1、SN2反应例题3 E2 E1 Sn2 Sn1 Reactions Example 3 苯的共振 Resonanc
    烯醇-酮互变异构 Keto Enol Tautomerization E2、E1、SN2、SN1反应例题2 E2 E1 Sn2 Sn1 Reactions Example 2 比较E2,E1,SN2,SN1等四种反应 Comparing E2 E1 Sn2 Sn1Reaction
    Sn2反应中的胺的亲核作用 Amine as Nucleophile in Sn2 Reaction E1反应 E1 Reactions 扎伊采夫规则 Zaitsev's Rule
    胺的命名2 Amine Naming E2反应 E2 Reactions 异、仲、叔碳支链的习惯命名和系统命名
  • 有机物的命名例题3 More Organic Chemistry Naming Examples 3
    有机物的命名例题1 More Organic Chemistry Naming Examples 1
    更正:2-丙基庚烷不叫这个名字! Correction-2-Propylheptane should never be the name
    烯烃的顺反和E-Z命名 Cis-Trans and E-Z Naming Scheme for Alkenes
    卤代烃的命名 Naming Alkyl Halides
    羟醛反应 Aldol Reaction
    酰氯的胺化 Amide Formation from Acyl Chloride
    羧酸衍生物的稳定性 Relative Stability of Amides Esters Anhydrides and Acyl Chlorides
    酰胺、酸酐、酯和酰氯 Amides, Anhydrides, Esters and Acyl Chlorides
    酰氯的形成 Acid Chloride Formation
    费舍尔酯化反应 Fisher Esterification
    羧酸的命名 Carboxylic Acid Naming
    羧酸的简介 Carboxlic Acid Introduction
    烯醇-酮互变异构 Keto Enol Tautomerization
    Sn2反应中的胺的亲核作用 Amine as Nucleophile in Sn2 Reaction
    胺的命名2 Amine Naming
    胺的命名简介 Amine Naming Introduction
    苯的溴化 Bromination of Benzene
    芳香烃的亲电取代反应 Electrophilic Aromatic Substitution
    简单的苯的衍生物的命名 Naming Benzene Derivatives Introduction
    芳香性与休克尔定律 Aromatic Compounds and Huckel's Rule
    环醚的SN2和SN1开环反应 Sn1 and Sn2 epoxide opening discussion
    环醚的SN2开环反应 Ring-opening Sn2 reaction of expoxides
    环醚的命 Cyclic ethers and epoxide naming
    醚的简介和命名 Ether Naming and Introduction
    醇的性质 Alcohol Properties
    醇 Alcohols
    自由基反应 Free Radical Reactions
    E1、E2、SN1、SN2反应例题3 E2 E1 Sn2 Sn1 Reactions Example 3
    E2、E1、SN2、SN1反应例题2 E2 E1 Sn2 Sn1 Reactions Example 2
    E1反应 E1 Reactions
    E2反应 E2 Reactions
    亲核性 Nucleophilicity (Nucleophile Strength)
    溶剂对SN1和SN2反应的影响 Solvent Effects on Sn1 and Sn2 Reactions
    酸催化加成反应 Addition of Water (Acid-Catalyzed) Mechanism
    甲基环己烷的纽曼式 Double Newman Diagram for Methcyclohexane
    纽曼投影式 Newman Projections
    sp3杂化轨道与σ键 sp3 Hybridized Orbitals and Sigma Bonds
    弗氏酰基化反应补充 Friedel Crafts Acylation Addendum
    弗氏酰基化反应 Friedel Crafts Acylation
    酮的命名 Ketone Naming
    醛的简介 Aldehyde Introduction
    Sn1反应中的胺 Sn1 Amine Reaction
    Sn2反应中的胺的亲核作用2 Amine in Sn2 part
    苯的共振 Resonanc
    比较E2,E1,SN2,SN1等四种反应 Comparing E2 E1 Sn2 Sn1Reaction
    扎伊采夫规则 Zaitsev's Rule
    异、仲、叔碳支链的习惯命名和系统命名
  • 微分方程 Differential equations

  • 恰当方程2 Exact Equations Intuition 2 特征方程的复根3 Complex roots of the characteristic equations 3 狄拉克δ函数的拉普拉斯变换 Laplace Transform of the Dirac Delta Function
    卷积导论 Introduction to the Convolution 特征方程的复根2 Complex roots of the characteristic equations 2 狄拉克δ函数 Dirac Delta Function
    可分离变量微分方程2 Separable differential equations 2 特征方程的复根1 Complex roots of the characteristic equations 1 带有单位阶梯函数的微分方程 Laplace-Step Function Differential Equation
    拉普拉斯变换2 Laplace Transform 2 二阶线性齐次微分方程4 2nd Order Linear Homogeneous Differential Equations 4 拉普拉斯逆变换的一些例子 Inverse Laplace Examples
    拉普拉斯变换1 Laplace Transform 1 二阶线性齐次微分方程3 2nd Order Linear Homogeneous Differential Equations 3 单位阶跃函数的拉普拉斯变换 Laplace Transform of the Unit Step Function
    待定系数法4 Undetermined Coefficients 4 二阶线性齐次微分方程2 2nd Order Linear Homogeneous Differential Equations 2 t^n的拉普拉斯变换 Laplace Transform of t^n: L{t^n}
    待定系数法2 Undetermined Coefficients 2 一阶齐次方程1 First order homegenous equations 1 t的拉普拉斯变换 Laplace Transform of t: L{t}
    待定系数法1 Undetermined Coefficients 1 利用卷积定理求解初值问题 Using the Convolution Theorem to Solve an Initial Value Problem 用拉式变换解非齐次方程 Using the Laplace Transform to solve a nonhomogenous equation
    特征方程的重根2 Repeated roots of the characteristic equations 2 卷积和拉普拉斯变换 The Convolution and the Laplace Transform 更多的拉式变换性质 More Laplace Transform tools
  • 恰当方程2 Exact Equations Intuition 2
    卷积导论 Introduction to the Convolution
    可分离变量微分方程2 Separable differential equations 2
    拉普拉斯变换2 Laplace Transform 2
    拉普拉斯变换1 Laplace Transform 1
    待定系数法4 Undetermined Coefficients 4
    待定系数法2 Undetermined Coefficients 2
    待定系数法1 Undetermined Coefficients 1
    特征方程的重根2 Repeated roots of the characteristic equations 2
    特征方程的复根3 Complex roots of the characteristic equations 3
    特征方程的复根2 Complex roots of the characteristic equations 2
    特征方程的复根1 Complex roots of the characteristic equations 1
    二阶线性齐次微分方程4 2nd Order Linear Homogeneous Differential Equations 4
    二阶线性齐次微分方程3 2nd Order Linear Homogeneous Differential Equations 3
    二阶线性齐次微分方程2 2nd Order Linear Homogeneous Differential Equations 2
    一阶齐次方程1 First order homegenous equations 1
    利用卷积定理求解初值问题 Using the Convolution Theorem to Solve an Initial Value Problem
    卷积和拉普拉斯变换 The Convolution and the Laplace Transform
    狄拉克δ函数的拉普拉斯变换 Laplace Transform of the Dirac Delta Function
    狄拉克δ函数 Dirac Delta Function
    带有单位阶梯函数的微分方程 Laplace-Step Function Differential Equation
    拉普拉斯逆变换的一些例子 Inverse Laplace Examples
    单位阶跃函数的拉普拉斯变换 Laplace Transform of the Unit Step Function
    t^n的拉普拉斯变换 Laplace Transform of t^n: L{t^n}
    t的拉普拉斯变换 Laplace Transform of t: L{t}
    用拉式变换解非齐次方程 Using the Laplace Transform to solve a nonhomogenous equation
    更多的拉式变换性质 More Laplace Transform tools
  • 对数 Logarithms

  • 代数习题课 Algebraic Practice Problem

  • 通过平方根解二次方程 Solving Quadratic Equations by Square Roots 科学计数法 Scientific Notation 多步不等式 Multi-Step Inequalities
    通过画图解二次方程 Solving Quadratic Equations by Graphing 零,负和分数指数 Zero, Negative, and Fractional Exponents 乘除不等式 Inequalities Using Multiplication and Division
    二次函数的图形 Graphs of Quadratic Functions 商的指数性质 Exponent Properties Involving Quotients 加减不等式 Inequalities Using Addition and Subtraction
    分组分解多项式 Factor by Grouping and Factoring Completely 乘积的指数性质 Exponent Properties Involving Products 线性模型的使用 Using a Linear Model
    分解特殊的二次多项式 Factoring Special Products 线性不等式组 Systems of Linear Inequalities 用线性模型做预测 Predicting with Linear Models
    分解二次多项式 Factoring Quadratic Expressions 线性方程组的特殊形 Special Types of Linear Systems 对数据做线性处理 Fitting a Line to Data
    多项式方程的分解形式 Polynomial Equations in Factored Form 用乘法解方程组 Solving Systems of Equations by Multiplication 平行线和垂线方 Equations of Parallel and Perpendicular Lines
    特殊的二项式乘法 Special Products of Binomials 用消除法解方程组 Solving Systems of Equations by Elimination 线性方程的标准形式 Linear Equations in Standard Form
    多项式乘法 Multiplication of Polynomials 用替代法解线性方程组n Solving Linear Systems by Substitution 线性方程的点斜式 Linear Equations in Point Slope Form
    多项式加减法 Addition and Subtraction of Polynomials 用画图法解线性方程组 Solving Linear Systems by Graphing 线性方程的斜截式 Linear Equations in Slope Intercept Form
    指数增长和衰减的应用题 Word Problem Solving- Exponential Growth and Decay 不等式图像 Graphing Inequalities 解应用题 Word Problem Solving 4
    等比数列介绍 Geometric Sequences (Introduction) 绝对值不等式 Absolute Value Inequalities 函数例题-线性函数图 Function Example Problem-Linear Function Graphs
    指数衰减函数 Exponential Decay Functions 绝对值方程 Absolute Value Equations 两边都有变量的方程 Equations with Variables on Both Sides
    指数增长函数 Exponential Growth Functions 复合不等式 Compound Inequalities 平方根与实数 Square Roots and Real Numbers
  • 通过平方根解二次方程 Solving Quadratic Equations by Square Roots
    通过画图解二次方程 Solving Quadratic Equations by Graphing
    二次函数的图形 Graphs of Quadratic Functions
    分组分解多项式 Factor by Grouping and Factoring Completely
    分解特殊的二次多项式 Factoring Special Products
    分解二次多项式 Factoring Quadratic Expressions
    多项式方程的分解形式 Polynomial Equations in Factored Form
    特殊的二项式乘法 Special Products of Binomials
    多项式乘法 Multiplication of Polynomials
    多项式加减法 Addition and Subtraction of Polynomials
    指数增长和衰减的应用题 Word Problem Solving- Exponential Growth and Decay
    等比数列介绍 Geometric Sequences (Introduction)
    指数衰减函数 Exponential Decay Functions
    指数增长函数 Exponential Growth Functions
    科学计数法 Scientific Notation
    零,负和分数指数 Zero, Negative, and Fractional Exponents
    商的指数性质 Exponent Properties Involving Quotients
    乘积的指数性质 Exponent Properties Involving Products
    线性不等式组 Systems of Linear Inequalities
    线性方程组的特殊形 Special Types of Linear Systems
    用乘法解方程组 Solving Systems of Equations by Multiplication
    用消除法解方程组 Solving Systems of Equations by Elimination
    用替代法解线性方程组n Solving Linear Systems by Substitution
    用画图法解线性方程组 Solving Linear Systems by Graphing
    不等式图像 Graphing Inequalities
    绝对值不等式 Absolute Value Inequalities
    绝对值方程 Absolute Value Equations
    复合不等式 Compound Inequalities
    多步不等式 Multi-Step Inequalities
    乘除不等式 Inequalities Using Multiplication and Division
    加减不等式 Inequalities Using Addition and Subtraction
    线性模型的使用 Using a Linear Model
    用线性模型做预测 Predicting with Linear Models
    对数据做线性处理 Fitting a Line to Data
    平行线和垂线方 Equations of Parallel and Perpendicular Lines
    线性方程的标准形式 Linear Equations in Standard Form
    线性方程的点斜式 Linear Equations in Point Slope Form
    线性方程的斜截式 Linear Equations in Slope Intercept Form
    解应用题 Word Problem Solving 4
    函数例题-线性函数图 Function Example Problem-Linear Function Graphs
    两边都有变量的方程 Equations with Variables on Both Sides
    平方根与实数 Square Roots and Real Numbers
  • 加州高中毕业考试习题讲解问题 CAHSEE

    微积分预备 Precalculus

  • SAT数学 SAT Math

  • SAT测试5第3部分1 SAT Prep- Test 5 Section 3 Part 1 SAT测试3第4部分2 SAT Prep- Test 3 Section 4 Part 2 SAT测试5第7部分2 SAT Prep- Test 5 Section 7 Part 2
    SAT测试4第8部分1 SAT Prep- Test 4 Section 8 Part 1 SAT测试3第4部分1 SAT Prep- Test 3 Section 4 Part 1 SAT测试5第7部分1 SAT Prep- Test 5 Section 7 Part 1
    SAT测试4第4部分3 SAT Prep- Test 4 Section 4 Part 3 SAT测试2第9部分3 SAT Prep- Test 2 Section 9 Part 3 SAT测试5第3部分6 SAT Prep- Test 5 Section 3 Part 6
    SAT测试4第4部分1 SAT Prep- Test 4 Section 4 Part 1 SAT测试2第9部分2 SAT Prep- Test 2 Section 9 Part 2 SAT测试5第3部分5 SAT Prep- Test 5 Section 3 Part 5
    SAT测试4第2部分6 SAT Prep- Test 4 Section 2 Part 6 SAT测试2第9部分1 SAT Prep- Test 2 Section 9 Part 1 SAT测试5第3部分4 SAT Prep- Test 5 Section 3 Part 4
    SAT测试4第2部分5 SAT Prep- Test 4 Section 2 Part 5 SAT测试2第6部分6 SAT Prep- Test 2 Section 6 Part 6 SAT测试5第3部分3 SAT Prep- Test 5 Section 3 Part 3
    SAT测试4第2部分4 SAT Prep- Test 4 Section 2 Part 4 SAT测试2第6部分5 SAT Prep- Test 2 Section 6 Part 5 SAT测试1第3部分6 SAT Prep- Test 1 Section 3 Part 6
    SAT测试4第2部分3 SAT Prep- Test 4 Section 2 Part 3 SAT测试2第6部分3 SAT Prep- Test 2 Section 6 Part 3 SAT测试3第2部分5 SAT Prep- Test 3 Section 2 Part 5
    SAT测试4第2部分1 SAT Prep- Test 4 Section 2 Part 1 SAT测试2第6部分1 SAT Prep- Test 2 Section 6 Part 1 SAT测试3第2部分4 SAT Prep- Test 3 Section 2 Part 4
    SAT测试3第8部分4 SAT Prep- Test 3 Section 8 Part 4 SAT测试2第3部分5 SAT Prep- Test 2 Section 3 part 5 SAT测试3第2部分3 SAT Prep- Test 3 Section 2 Part 3
    SAT测试3第8部分2 SAT Prep- Test 3 Section 8 Part 2 SAT测试5第7部分6 SAT Prep- Test 5 Section 7 Part 6 SAT测试3第2部分2 SAT Prep- Test 3 Section 2 Part 2
    SAT测试3第8部分1 SAT Prep- Test 3 Section 8 Part 1 SAT测试5第7部分5 SAT Prep- Test 5 Section 7 Part 5 SAT测试3第2部分1 SAT Prep- Test 3 Section 2 Part 1
    SAT测试3第4部分4 SAT Prep- Test 3 Section 4 Part 4 SAT测试5第7部分4 SAT Prep- Test 5 Section 7 Part 4 SAT测试3第4部分3 SAT Prep- Test 3 Section 4 Part 3
    SAT测试5第7部分3 SAT Prep- Test 5 Section 7 Part 3
  • SAT测试5第3部分1 SAT Prep- Test 5 Section 3 Part 1
    SAT测试4第8部分1 SAT Prep- Test 4 Section 8 Part 1
    SAT测试4第4部分3 SAT Prep- Test 4 Section 4 Part 3
    SAT测试4第4部分1 SAT Prep- Test 4 Section 4 Part 1
    SAT测试4第2部分6 SAT Prep- Test 4 Section 2 Part 6
    SAT测试4第2部分5 SAT Prep- Test 4 Section 2 Part 5
    SAT测试4第2部分4 SAT Prep- Test 4 Section 2 Part 4
    SAT测试4第2部分3 SAT Prep- Test 4 Section 2 Part 3
    SAT测试4第2部分1 SAT Prep- Test 4 Section 2 Part 1
    SAT测试3第8部分4 SAT Prep- Test 3 Section 8 Part 4
    SAT测试3第8部分2 SAT Prep- Test 3 Section 8 Part 2
    SAT测试3第8部分1 SAT Prep- Test 3 Section 8 Part 1
    SAT测试3第4部分4 SAT Prep- Test 3 Section 4 Part 4
    SAT测试3第4部分3 SAT Prep- Test 3 Section 4 Part 3
    SAT测试3第4部分2 SAT Prep- Test 3 Section 4 Part 2
    SAT测试3第4部分1 SAT Prep- Test 3 Section 4 Part 1
    SAT测试2第9部分3 SAT Prep- Test 2 Section 9 Part 3
    SAT测试2第9部分2 SAT Prep- Test 2 Section 9 Part 2
    SAT测试2第9部分1 SAT Prep- Test 2 Section 9 Part 1
    SAT测试2第6部分6 SAT Prep- Test 2 Section 6 Part 6
    SAT测试2第6部分5 SAT Prep- Test 2 Section 6 Part 5
    SAT测试2第6部分3 SAT Prep- Test 2 Section 6 Part 3
    SAT测试2第6部分1 SAT Prep- Test 2 Section 6 Part 1
    SAT测试2第3部分5 SAT Prep- Test 2 Section 3 part 5
    SAT测试5第7部分6 SAT Prep- Test 5 Section 7 Part 6
    SAT测试5第7部分5 SAT Prep- Test 5 Section 7 Part 5
    SAT测试5第7部分4 SAT Prep- Test 5 Section 7 Part 4
    SAT测试5第7部分3 SAT Prep- Test 5 Section 7 Part 3
    SAT测试5第7部分2 SAT Prep- Test 5 Section 7 Part 2
    SAT测试5第7部分1 SAT Prep- Test 5 Section 7 Part 1
    SAT测试5第3部分6 SAT Prep- Test 5 Section 3 Part 6
    SAT测试5第3部分5 SAT Prep- Test 5 Section 3 Part 5
    SAT测试5第3部分4 SAT Prep- Test 5 Section 3 Part 4
    SAT测试5第3部分3 SAT Prep- Test 5 Section 3 Part 3
    SAT测试1第3部分6 SAT Prep- Test 1 Section 3 Part 6
    SAT测试3第2部分5 SAT Prep- Test 3 Section 2 Part 5
    SAT测试3第2部分4 SAT Prep- Test 3 Section 2 Part 4
    SAT测试3第2部分3 SAT Prep- Test 3 Section 2 Part 3
    SAT测试3第2部分2 SAT Prep- Test 3 Section 2 Part 2
    SAT测试3第2部分1 SAT Prep- Test 3 Section 2 Part 1
  • 加州标准测试代数I California Standards Test:Algebra I

    几何学-角

  • 角平分线定理的证明 Angle Bisector Theorem Proof 锐角 钝角和直角 Acute Obtuse and Right Angles 边边角不一定成立的原因 More on why SSA is not a postulate
    角平分线定理 Angle Bisector Theorem Examples 锐角 直角 和钝角 Acute Right and Obtuse Angles 角的游戏2 The Angle Game 2
    三角形的角例3 Triangle Angle Example 3 测量角度 Measuring Angles 角的游戏 The Angle Game
    平行线形成的角2 Angles of parallel lines 2 使用量角器 Using a Protractor 三角形的角例2 Triangle Angle Example 2
    证明同位角相等则直线平行 Proof - Corresponding Angle Equivalence Implies Parallel Lines 角的测量——角度制 Measuring Angles in Degrees 三角形的角例1 Triangle Angle Example 1
    平行线与截线形成的角 Angles formed between transversals and parallel lines 角的简介 Introduction to angles (old) 证明 三角形内角和为180度 Proof - Sum of Measures of Angles in a Triangle are 180
    角3 Angles (part 3) 角的定义 Angle basics 两线相交构成的角 Introduction to vertical angles
    证明 互为对顶角的两角相等 Proof-Vertical Angles are Equal 圆周角和圆心角 Inscribed and Central Angles 求更多未知角 Finding more angles
    角2 Angles (part 2) 利用两栏证明法证明线段相互垂直 Two column proof showing segments are perpendicular 求未知角 Finding Missing Angles
    找出余角和补角 Identifying Complementary and Supplementary Angles 点到直线的距离及角平分线 Point Line Distance and Angle Bisectors 余角和补角 Complementary and Supplementary Angles
    平行线与截线形成的角 Two column proof showing segments are perpendicular
  • 角平分线定理的证明 Angle Bisector Theorem Proof
    角平分线定理 Angle Bisector Theorem Examples
    三角形的角例3 Triangle Angle Example 3
    平行线形成的角2 Angles of parallel lines 2
    证明同位角相等则直线平行 Proof - Corresponding Angle Equivalence Implies Parallel Lines
    平行线与截线形成的角 Angles formed between transversals and parallel lines
    角3 Angles (part 3)
    证明 互为对顶角的两角相等 Proof-Vertical Angles are Equal
    角2 Angles (part 2)
    找出余角和补角 Identifying Complementary and Supplementary Angles
    余角和补角 Complementary and Supplementary Angles
    锐角 钝角和直角 Acute Obtuse and Right Angles
    锐角 直角 和钝角 Acute Right and Obtuse Angles
    测量角度 Measuring Angles
    使用量角器 Using a Protractor
    角的测量——角度制 Measuring Angles in Degrees
    角的简介 Introduction to angles (old)
    角的定义 Angle basics
    圆周角和圆心角 Inscribed and Central Angles
    利用两栏证明法证明线段相互垂直 Two column proof showing segments are perpendicular
    点到直线的距离及角平分线 Point Line Distance and Angle Bisectors
    平行线与截线形成的角 Two column proof showing segments are perpendicular
    边边角不一定成立的原因 More on why SSA is not a postulate
    角的游戏2 The Angle Game 2
    角的游戏 The Angle Game
    三角形的角例2 Triangle Angle Example 2
    三角形的角例1 Triangle Angle Example 1
    证明 三角形内角和为180度 Proof - Sum of Measures of Angles in a Triangle are 180
    两线相交构成的角 Introduction to vertical angles
    求更多未知角 Finding more angles
    求未知角 Finding Missing Angles
  • 线性代数 Linear Algebra

  • 左零空间和行空间的可视化 Visualizations of Left Nullspace and Rowspace 零空间1-矩阵零空间介绍 Null Space 1- Introduction to the Null Space of a Matrix 投影是子空间中距离原向量最近的向量 Projection is closest vector in subspace
    行空间和左零空间 Rowspace and Left Nullspace 矩阵向量乘积 Matrix Vector Products 关于投影的矩阵的另一个例子 Another Example of a Projection Matrix
    向量的转置 Transpose of a Vector 矩阵行简化阶梯型3 Matrices- Reduced Row Echelon Form 3 子空间投影矩阵的例子 Subspace Projection Matrix Example
    转置矩阵的加法与求逆运算 Transposes of sums and inverses 矩阵行简化阶梯型2 Matrices- Reduced Row Echelon Form 2 子空间上的投影是线性变换 A Projection onto a Subspace is a Linear Transform
    矩阵乘积的转置 Transpose of a Matrix Product 矩阵行简化阶梯型1 Matrices- Reduced Row Echelon Form 1 平面上投影的可视化 Visualizing a projection onto a plane
    转置的行列式 Determinant of Transpose 矩阵乘法(二) Matrix multiplication (part 2) 求解三元方程组 Solving 3 Equations with 3 Unknowns
    矩阵的转置 Transpose of a Matrix 乘和叉乘的直觉比较 Dot and Cross Product Comparison-Intuition 子空间上的投影 Projections onto Subspaces
    行列式作为面积因子 Determinant as Scaling Factor 外积简介 Cross Product Introduction 证明(A转置)A是可逆的 Showing that A-transpose x A is invertible
    行列式与平行四边形面积 Determinant and area of a parallelogram 中由点与法向量定义的平面 Defining a plane in R3 with a point and normal vector 方程Ax=b在行空间中的解的例子 Rowspace Solution to Ax=b example
    奇异矩阵 Singular Matrices 向量夹角的定义 Defining the angle between vectors 方程Ax=b的行空间中的解 Unique rowspace solution to Ax=b
    行列式的简化 Simpler 4×4 determinant 4×4 向量三角不等式 Linear Algebra- Vector Triangle Inequality 正交补空间的正交补空间 Orthogonal Complement of the Orthogonal Complement
    上三角阵行列式 Upper Triangular Determinant 柯西许瓦兹不等式的证明 Proof of the Cauchy-Schwarz Inequality 用子空间中的向量表示Rn中的向量 Representing vectors in Rn using subspace members
    行变换后的行列式 Determinant after row operations 向量点积的性质及证明 Proving Vector Dot Product Properties dim(V) + dim(正交补)=n dim(V) + dim(orthogonal complement of V)
    有相同行的行列式 Duplicate Row Determinant 向量的点积和模长 Vector Dot Product and Vector Length 矩阵A的秩等于A转置的秩 Rank(A) = Rank(transpose of A)
    行相加的矩阵行列式规律 Determinant when row is added 线性代数——子空间的基 Linear Algebra-Basis of a Subspace 三元线性方程 3-variable linear equations
    关于行乘系数行列式的修正 (correction)scalar multiplication of row 矩阵乘法(一) Matrix multiplication (part 1) 矩阵简介 Introduction to matrices
    矩阵行乘以系数的行列式运算 Determinant when row multiplied by scalar 线性子空间 Linear Subspaces 正交补 Orthogonal Complements
    法则 Rule of Sarrus of Determinants Sarrus 线性无关的相关例题 Span and Linear Independence Example 改变坐标系有助于求出变换 Changing coordinate systems to help find a transformation
    沿其他行或列求矩阵行列式 Determinants along other rows-columns 线性无关的进一步介绍 More on linear independence n×n矩阵的行列式 n×n Determinant
    矩阵法求向量组合 Matrices to solve a vector combination problem 关于线性无关 Introduction to Linear Independence 外积和角度正弦函数之间关系的证明 Proof- Relationship between cross product and sin of angle
    3×3矩阵的行列式 3×3 Determinant 线性组合和向量张成的空间 Linear Combinations and Span 将投影到一条线表达为矩阵向量的乘积 Expressing a Projection on to a line as a Matrix Vector products
    矩阵的逆矩阵一般形式 Formula for 2×2 inverse 2×2 平面之间的距离 The distance between planes 可逆性和f(x)=y解唯一性等价的证明 Proof Invertibility implies a unique solution to f(x)=y
    求逆矩阵举例 Example of Finding Matrix Inverse 点到平面的距离 Point distance to plane 计算正交基下到子空间的投影矩阵 Finding projection onto subspace with orthonormal basis example
    求逆矩阵的方法 Deriving a method for determining inverses 从平面方程找法线向量 Normal vector from plane equation 计算镜像变换矩阵 Example using orthogonal change-of-basis matrix to find transformation matrix
    展示逆是线性的 Showing that Inverses are Linear 向量的三重积展开 Vector Triple Product Expansion 说明特征基有利于构造合适的坐标 Showing that an eigenbasis makes for good coordinate systems
    可逆性的简化条件 Simplifying conditions for invertibility 直线的参数表示 Parametric Representations of Lines 求解一个2×2矩阵的特征值的一个例子 Example solving for the eigenvalues of a 2×2 matrix
    矩阵进行1-1变换的条件 Matrix condition for one-to-one transformation 求解3×3矩阵的特征向量和特征空间 Eigenvectors and Eigenspaces for a 3×3 matrix 映上和一对一和可逆性的联系 Relating invertibility to being onto and one-to-one
    探索Ax=b的解答集合 Exploring the solution set of Ax=b 求解3×3矩阵的特征值 Eigenvalues of a 3×3 matrix 线性变换的加法运算和数乘运算 Sums and Scalar Multiples of Linear Transformations
    映上变换的判别方法 Determining whether a transformation is onto 求解特征向量和特征空间 Finding Eigenvectors and Eigenspaces example 原像和核的相关例子 Preimage and Kernel Example
    矩阵法求解方程组 Matrices to solve a system of equations 特征值公式的证明 Proof of formula for determining Eigenvalue 变换的像空间im(T) im(T)-Image of a Transformation
    满射函数和单射函数 Surjective (onto) and Injective (one-to-one) functions 特征向量和特征值的引入 Linear Algebra Introduction to Eigenvalues and Eigenvector 线性变换的矩阵向量乘积表示 Linear Transformations as Matrix Vector Products
    逆函数介绍 Linear Algebra- Introduction to the inverse of a function 过程的三个基础向量的例子 Gram-Schmidt example with 3 basis vectors 矩阵向量乘法与线性变换 Matrix Vector Products as Linear Transformations
    矩阵乘法分配律 Distributive Property of Matrix Products 过程的例子 Gram-Schmidt Process Example 线性变换 Linear Transformations
    矩阵乘法结合律 Matrix Product Associativity Gram-Schmidt过程 The Gram-Schmidt Process 向量变换 Vector Transformations
    矩阵乘积范例 Linear Algebra Matrix Product Examples 正交矩阵的保角性和保长性 Orthogonal matrices preserve angles and lengths 函数的深入理解 A more formal understanding of functions
    线性变换的复合2 Compositions of Linear Transformations 2 向量范例 Vector Examples 证明候选基底确实张成C(A)空间 Showing that the candidate basis does span C(A)
    线性变换的复合1 Compositions of Linear Transformations 1 正交基下到子空间的投影 Projections onto subspaces with orthonormal bases 基底列和主列的关系 Showing relation between basis cols and pivot columns
    投影介绍 Introduction to Projections 标准正交基下的坐标 Coordinates with respect to orthonormal bases 列空间的维数或秩 Dimension of the Column Space or Rank
    矩阵的逆(三) Inverting Matrices (part3) 标准正交基简介 Introduction to Orthonormal Bases 零空间的维数或零度 Dimension of the Null Space or Nullity
    单位向量 Unit Vectors 一个替补基底变换矩阵的例子(2) Alternate Basis Transformation Matrix Example Part 2 证明任意子空间基底数目相同 Proof-Any subspace basis has same number of elements
    在R3空间内做旋转 Rotation in R3 around the X-axis 对应一个基底的变换矩阵 Transformation Matrix with Respect to a Basis 把列空间想象成三维空间上的平面 Visualizing a Column Space as a Plane in R3
    在R2空间的线性变换的旋转举例 Linear Transformation Examples Rotations in R2 可逆基向量矩阵变换 Invertible Change of Basis Matrix 零空间与列空间 Null Space and Column Space Basis
    线性变换的例子——放缩和映射 Linear Transformation Examples- Scaling and Reflections 向量简介 Introduction to Vectors 矩阵的列空间 Column Space of a Matrix
    矩阵加法和标量乘法详细论述 More on Matrix Addition and Scalar Multiplication 基变换的矩阵 Change of Basis Matrix 零空间3-零空间与线性无关的关系 Null Space 3- Relation to Linear Independence
    集合的原像 Preimage of a set 向量在一组基下的坐标 Coordinates with Respect to a Basis 零空间2-矩阵零空间计算 Null Space 2- Calculating the null space of a matrix
    变换下的子集原像 Image of a subset under a transformation 另一个有关最小二乘的例子 Another Least Squares Example 零空间的正交补 Orthogonal Complement of the Nullspace
    矩阵的逆(二) Inverting Matrices(part 2) 有关最小二乘的例子 Least Squares Examples 一个替补基底变换矩阵的例子(1) Alternate Basis Transformation Matrix Example Part 1
    矩阵的逆(一) Idea Behind Inverting a 2x2 Matrix 最小二乘逼近 Least Squares Approximation
  • 左零空间和行空间的可视化 Visualizations of Left Nullspace and Rowspace
    行空间和左零空间 Rowspace and Left Nullspace
    向量的转置 Transpose of a Vector
    转置矩阵的加法与求逆运算 Transposes of sums and inverses
    矩阵乘积的转置 Transpose of a Matrix Product
    转置的行列式 Determinant of Transpose
    矩阵的转置 Transpose of a Matrix
    行列式作为面积因子 Determinant as Scaling Factor
    行列式与平行四边形面积 Determinant and area of a parallelogram
    奇异矩阵 Singular Matrices
    行列式的简化 Simpler 4×4 determinant 4×4
    上三角阵行列式 Upper Triangular Determinant
    行变换后的行列式 Determinant after row operations
    有相同行的行列式 Duplicate Row Determinant
    行相加的矩阵行列式规律 Determinant when row is added
    关于行乘系数行列式的修正 (correction)scalar multiplication of row
    矩阵行乘以系数的行列式运算 Determinant when row multiplied by scalar
    法则 Rule of Sarrus of Determinants Sarrus
    沿其他行或列求矩阵行列式 Determinants along other rows-columns
    矩阵法求向量组合 Matrices to solve a vector combination problem
    3×3矩阵的行列式 3×3 Determinant
    矩阵的逆矩阵一般形式 Formula for 2×2 inverse 2×2
    求逆矩阵举例 Example of Finding Matrix Inverse
    求逆矩阵的方法 Deriving a method for determining inverses
    展示逆是线性的 Showing that Inverses are Linear
    可逆性的简化条件 Simplifying conditions for invertibility
    矩阵进行1-1变换的条件 Matrix condition for one-to-one transformation
    探索Ax=b的解答集合 Exploring the solution set of Ax=b
    映上变换的判别方法 Determining whether a transformation is onto
    矩阵法求解方程组 Matrices to solve a system of equations
    满射函数和单射函数 Surjective (onto) and Injective (one-to-one) functions
    逆函数介绍 Linear Algebra- Introduction to the inverse of a function
    矩阵乘法分配律 Distributive Property of Matrix Products
    矩阵乘法结合律 Matrix Product Associativity
    矩阵乘积范例 Linear Algebra Matrix Product Examples
    线性变换的复合2 Compositions of Linear Transformations 2
    线性变换的复合1 Compositions of Linear Transformations 1
    投影介绍 Introduction to Projections
    矩阵的逆(三) Inverting Matrices (part3)
    单位向量 Unit Vectors
    在R3空间内做旋转 Rotation in R3 around the X-axis
    在R2空间的线性变换的旋转举例 Linear Transformation Examples Rotations in R2
    线性变换的例子——放缩和映射 Linear Transformation Examples- Scaling and Reflections
    矩阵加法和标量乘法详细论述 More on Matrix Addition and Scalar Multiplication
    集合的原像 Preimage of a set
    变换下的子集原像 Image of a subset under a transformation
    矩阵的逆(二) Inverting Matrices(part 2)
    矩阵的逆(一) Idea Behind Inverting a 2x2 Matrix
    零空间1-矩阵零空间介绍 Null Space 1- Introduction to the Null Space of a Matrix
    矩阵向量乘积 Matrix Vector Products
    矩阵行简化阶梯型3 Matrices- Reduced Row Echelon Form 3
    矩阵行简化阶梯型2 Matrices- Reduced Row Echelon Form 2
    矩阵行简化阶梯型1 Matrices- Reduced Row Echelon Form 1
    矩阵乘法(二) Matrix multiplication (part 2)
    乘和叉乘的直觉比较 Dot and Cross Product Comparison-Intuition
    外积简介 Cross Product Introduction
    中由点与法向量定义的平面 Defining a plane in R3 with a point and normal vector
    向量夹角的定义 Defining the angle between vectors
    向量三角不等式 Linear Algebra- Vector Triangle Inequality
    柯西许瓦兹不等式的证明 Proof of the Cauchy-Schwarz Inequality
    向量点积的性质及证明 Proving Vector Dot Product Properties
    向量的点积和模长 Vector Dot Product and Vector Length
    线性代数——子空间的基 Linear Algebra-Basis of a Subspace
    矩阵乘法(一) Matrix multiplication (part 1)
    线性子空间 Linear Subspaces
    线性无关的相关例题 Span and Linear Independence Example
    线性无关的进一步介绍 More on linear independence
    关于线性无关 Introduction to Linear Independence
    线性组合和向量张成的空间 Linear Combinations and Span
    平面之间的距离 The distance between planes
    点到平面的距离 Point distance to plane
    从平面方程找法线向量 Normal vector from plane equation
    向量的三重积展开 Vector Triple Product Expansion
    直线的参数表示 Parametric Representations of Lines
    求解3×3矩阵的特征向量和特征空间 Eigenvectors and Eigenspaces for a 3×3 matrix
    求解3×3矩阵的特征值 Eigenvalues of a 3×3 matrix
    求解特征向量和特征空间 Finding Eigenvectors and Eigenspaces example
    特征值公式的证明 Proof of formula for determining Eigenvalue
    特征向量和特征值的引入 Linear Algebra Introduction to Eigenvalues and Eigenvector
    过程的三个基础向量的例子 Gram-Schmidt example with 3 basis vectors
    过程的例子 Gram-Schmidt Process Example
    Gram-Schmidt过程 The Gram-Schmidt Process
    正交矩阵的保角性和保长性 Orthogonal matrices preserve angles and lengths
    向量范例 Vector Examples
    正交基下到子空间的投影 Projections onto subspaces with orthonormal bases
    标准正交基下的坐标 Coordinates with respect to orthonormal bases
    标准正交基简介 Introduction to Orthonormal Bases
    一个替补基底变换矩阵的例子(2) Alternate Basis Transformation Matrix Example Part 2
    对应一个基底的变换矩阵 Transformation Matrix with Respect to a Basis
    可逆基向量矩阵变换 Invertible Change of Basis Matrix
    向量简介 Introduction to Vectors
    基变换的矩阵 Change of Basis Matrix
    向量在一组基下的坐标 Coordinates with Respect to a Basis
    另一个有关最小二乘的例子 Another Least Squares Example
    有关最小二乘的例子 Least Squares Examples
    最小二乘逼近 Least Squares Approximation
    投影是子空间中距离原向量最近的向量 Projection is closest vector in subspace
    关于投影的矩阵的另一个例子 Another Example of a Projection Matrix
    子空间投影矩阵的例子 Subspace Projection Matrix Example
    子空间上的投影是线性变换 A Projection onto a Subspace is a Linear Transform
    平面上投影的可视化 Visualizing a projection onto a plane
    求解三元方程组 Solving 3 Equations with 3 Unknowns
    子空间上的投影 Projections onto Subspaces
    证明(A转置)A是可逆的 Showing that A-transpose x A is invertible
    方程Ax=b在行空间中的解的例子 Rowspace Solution to Ax=b example
    方程Ax=b的行空间中的解 Unique rowspace solution to Ax=b
    正交补空间的正交补空间 Orthogonal Complement of the Orthogonal Complement
    用子空间中的向量表示Rn中的向量 Representing vectors in Rn using subspace members
    dim(V) + dim(正交补)=n dim(V) + dim(orthogonal complement of V)
    矩阵A的秩等于A转置的秩 Rank(A) = Rank(transpose of A)
    三元线性方程 3-variable linear equations
    矩阵简介 Introduction to matrices
    正交补 Orthogonal Complements
    改变坐标系有助于求出变换 Changing coordinate systems to help find a transformation
    n×n矩阵的行列式 n×n Determinant
    外积和角度正弦函数之间关系的证明 Proof- Relationship between cross product and sin of angle
    将投影到一条线表达为矩阵向量的乘积 Expressing a Projection on to a line as a Matrix Vector products
    可逆性和f(x)=y解唯一性等价的证明 Proof Invertibility implies a unique solution to f(x)=y
    计算正交基下到子空间的投影矩阵 Finding projection onto subspace with orthonormal basis example
    计算镜像变换矩阵 Example using orthogonal change-of-basis matrix to find transformation matrix
    说明特征基有利于构造合适的坐标 Showing that an eigenbasis makes for good coordinate systems
    求解一个2×2矩阵的特征值的一个例子 Example solving for the eigenvalues of a 2×2 matrix
    映上和一对一和可逆性的联系 Relating invertibility to being onto and one-to-one
    线性变换的加法运算和数乘运算 Sums and Scalar Multiples of Linear Transformations
    原像和核的相关例子 Preimage and Kernel Example
    变换的像空间im(T) im(T)-Image of a Transformation
    线性变换的矩阵向量乘积表示 Linear Transformations as Matrix Vector Products
    矩阵向量乘法与线性变换 Matrix Vector Products as Linear Transformations
    线性变换 Linear Transformations
    向量变换 Vector Transformations
    函数的深入理解 A more formal understanding of functions
    证明候选基底确实张成C(A)空间 Showing that the candidate basis does span C(A)
    基底列和主列的关系 Showing relation between basis cols and pivot columns
    列空间的维数或秩 Dimension of the Column Space or Rank
    零空间的维数或零度 Dimension of the Null Space or Nullity
    证明任意子空间基底数目相同 Proof-Any subspace basis has same number of elements
    把列空间想象成三维空间上的平面 Visualizing a Column Space as a Plane in R3
    零空间与列空间 Null Space and Column Space Basis
    矩阵的列空间 Column Space of a Matrix
    零空间3-零空间与线性无关的关系 Null Space 3- Relation to Linear Independence
    零空间2-矩阵零空间计算 Null Space 2- Calculating the null space of a matrix
    零空间的正交补 Orthogonal Complement of the Nullspace
    一个替补基底变换矩阵的例子(1) Alternate Basis Transformation Matrix Example Part 1
  • 物理 Physics

  • 向心加速度公式图形理解 Visual Understanding of Centripetal Acceleration Formula 点乘 The dot product 液体12 Fluids (part 12)
    向心力和向心加速度直观解释 Centripetal Force and Acceleration Intuition 磁学12 Magnetism 12 液体11 Fluids (part 11)
    抛射运动5 Projectile motion (part 5) 磁学11 Magnetism 11 液体10 Fluids (part 10)
    抛射运动4 Projectile motion (part 4) 磁学10 Magnetism 10 液体9 Fluids (part 9)
    抛射运动3 Projectile motion (part 3) 磁学9 Magnetism 9 液体8 Fluids (part 8)
    抛射运动2 Projectile motion (part 2) 磁学8 Magnetism 8 液体7 Fluids (part 7)
    抛射运动1 Projectile motion (part 1) 磁学7 Magnetism 7 液体6 Fluids (part 6)
    用有序对符号表示抛射运动 Projectile Motion with Ordered Set Notation 磁学6 Magnetism 6 液体5 Fluids (part 5)
    用单位向量表示抛射运动2 Projectile Motion with Unit Vectors (part 2) 磁学5 Magnetism 5 液体4 Fluids (part 4)
    用单位向量表示抛射运动 Projectile Motion with Unit Vectors 磁学4 Magnetism 4 液体3 Fluids (part 3)
    单位向量表示第2部分 Unit Vector Notation (part 2) 磁学3 Magnetism 3 液体2 Fluids (part 2)
    扭矩介绍 Introduction to Torque 磁学2 Magnetism 2 流体1 Fluids (part 1)
    g的重力场解释 Viewing g as the value of Earth's Gravitational Field Near the Surface 磁学介绍 Introduction to Magnetism 简谐运动第3部分 Harmonic Motion Part 3 (no calculus)
    物体图像高度和距离的关系式 Object Image and Focal Distance Relationship 叉乘与力矩 Cross Product and Torque 简谐运动第2部分 Harmonic Motion Part 2 (calculus)
    凸透镜练习 Convex Lens Examples 叉乘2 Cross product 2- 简谐运动介绍 Introduction to Harmonic Motion
    凸透镜 Convex Lenses 叉乘1 Cross product 1- 弹簧势能举例 Spring potential energy example (mistake in math)
    凸抛物面镜 Convex Parabolic Mirrors 电路4 Circuits (part 4) 弹簧势能 Potential energy stored in a spring
    抛物面镜2 Parabolic Mirrors 2 电路3 Circuits (part 3) 弹簧和胡克定律介绍 Intro to springs and Hooke's Law
    抛物面镜和实像 Parabolic Mirrors and Real Images 电路2 Circuits (part 2) 重力第2部分 Gravitation (part 2)
    虚像 Virtual Image 电路1 Circuits (part 1) 牛顿重力法则介绍 Introduction to Newton's Law of Gravitation
    全反射 Total Internal Reflection 电容 Capacitance 角动量守恒定律 Conservation of angular momentum
    斯涅尔定律例题2 Snell's Law Examples 2 电压 Voltage 空间站轨道速率 Space Station Speed in Orbit
    斯涅尔定律例题1 Snell's Law Examples 1 电势能2 Electric Potential Energy (part 2) 空间站处由于重力导致的加速度 Acceleration Due to Gravity at the Space Station
    折射和斯涅耳定律 Refraction and Snell's Law 电势能 Electric Potential Energy- 过山车答案2 Loop De Loop Answer part 2
    镜面反射和漫反射 Specular and Diffuse Reflection 2 无限大平板的电场的证明2 Proof (Advanced)_ Field from infinite plate (part 2) 过山车答案1 Loop De Loop Answer part 1
    镜面反射和漫反射 Specular and Diffuse Reflection 无限大平板的电场的证明1 Proof (Advanced)_ Field from infinite plate (part 1) 单位向量表示的点乘和叉乘运算 Calculating dot and cross products with unit vector notation
    马赫数 Mach Numbers 静电学2 Electrostatics (part 2) 物体图像和焦距之间的关系式 Object Image and Focal Distance Relationship (Proof of Formula)
    当波源和波速相同时的情况 When the source and the wave move at the same velocity 静电学1 Electrostatics (part 1) 周期波的幅度,周期,频率,波长 Amplitude, Period, Frequency and Wavelength of Periodic Waves
    当波源移动时的多普勒效应公式 Doppler effect formula when source is moving away 热力学5 Thermodynamics (part 5) 绕圈问题 Loop De Loop Question
    观察到的频率的多普勒效应公式 Doppler effect formula for observed frequency 热力学4 Thermodynamics (part 4) 用微积分证明向心加速度公式 Calculus proof of centripetal acceleration formula
    多普勒效应介绍 Introduction to the Doppler Effect 热力学3 Thermodynamics (part 3) 角速度和速率的关系 Relationship between angular velocity and speed
    波介绍 Introduction to Waves 热力学2 Thermodynamics (part 2) 点乘和叉乘 Dot vs. Cross Product
    物理 Thermodynamics (part 1)
  • 向心加速度公式图形理解 Visual Understanding of Centripetal Acceleration Formula
    向心力和向心加速度直观解释 Centripetal Force and Acceleration Intuition
    抛射运动5 Projectile motion (part 5)
    抛射运动4 Projectile motion (part 4)
    抛射运动3 Projectile motion (part 3)
    抛射运动2 Projectile motion (part 2)
    抛射运动1 Projectile motion (part 1)
    用有序对符号表示抛射运动 Projectile Motion with Ordered Set Notation
    用单位向量表示抛射运动2 Projectile Motion with Unit Vectors (part 2)
    用单位向量表示抛射运动 Projectile Motion with Unit Vectors
    单位向量表示第2部分 Unit Vector Notation (part 2)
    扭矩介绍 Introduction to Torque
    g的重力场解释 Viewing g as the value of Earth's Gravitational Field Near the Surface
    物体图像高度和距离的关系式 Object Image and Focal Distance Relationship
    凸透镜练习 Convex Lens Examples
    凸透镜 Convex Lenses
    凸抛物面镜 Convex Parabolic Mirrors
    抛物面镜2 Parabolic Mirrors 2
    抛物面镜和实像 Parabolic Mirrors and Real Images
    虚像 Virtual Image
    全反射 Total Internal Reflection
    斯涅尔定律例题2 Snell's Law Examples 2
    斯涅尔定律例题1 Snell's Law Examples 1
    折射和斯涅耳定律 Refraction and Snell's Law
    镜面反射和漫反射 Specular and Diffuse Reflection 2
    镜面反射和漫反射 Specular and Diffuse Reflection
    马赫数 Mach Numbers
    当波源和波速相同时的情况 When the source and the wave move at the same velocity
    当波源移动时的多普勒效应公式 Doppler effect formula when source is moving away
    观察到的频率的多普勒效应公式 Doppler effect formula for observed frequency
    多普勒效应介绍 Introduction to the Doppler Effect
    波介绍 Introduction to Waves
    点乘和叉乘 Dot vs. Cross Product
    点乘 The dot product
    磁学12 Magnetism 12
    磁学11 Magnetism 11
    磁学10 Magnetism 10
    磁学9 Magnetism 9
    磁学8 Magnetism 8
    磁学7 Magnetism 7
    磁学6 Magnetism 6
    磁学5 Magnetism 5
    磁学4 Magnetism 4
    磁学3 Magnetism 3
    磁学2 Magnetism 2
    磁学介绍 Introduction to Magnetism
    叉乘与力矩 Cross Product and Torque
    叉乘2 Cross product 2-
    叉乘1 Cross product 1-
    电路4 Circuits (part 4)
    电路3 Circuits (part 3)
    电路2 Circuits (part 2)
    电路1 Circuits (part 1)
    电容 Capacitance
    电压 Voltage
    电势能2 Electric Potential Energy (part 2)
    电势能 Electric Potential Energy-
    无限大平板的电场的证明2 Proof (Advanced)_ Field from infinite plate (part 2)
    无限大平板的电场的证明1 Proof (Advanced)_ Field from infinite plate (part 1)
    静电学2 Electrostatics (part 2)
    静电学1 Electrostatics (part 1)
    热力学5 Thermodynamics (part 5)
    热力学4 Thermodynamics (part 4)
    热力学3 Thermodynamics (part 3)
    热力学2 Thermodynamics (part 2)
    物理 Thermodynamics (part 1)
    液体12 Fluids (part 12)
    液体11 Fluids (part 11)
    液体10 Fluids (part 10)
    液体9 Fluids (part 9)
    液体8 Fluids (part 8)
    液体7 Fluids (part 7)
    液体6 Fluids (part 6)
    液体5 Fluids (part 5)
    液体4 Fluids (part 4)
    液体3 Fluids (part 3)
    液体2 Fluids (part 2)
    流体1 Fluids (part 1)
    简谐运动第3部分 Harmonic Motion Part 3 (no calculus)
    简谐运动第2部分 Harmonic Motion Part 2 (calculus)
    简谐运动介绍 Introduction to Harmonic Motion
    弹簧势能举例 Spring potential energy example (mistake in math)
    弹簧势能 Potential energy stored in a spring
    弹簧和胡克定律介绍 Intro to springs and Hooke's Law
    重力第2部分 Gravitation (part 2)
    牛顿重力法则介绍 Introduction to Newton's Law of Gravitation
    角动量守恒定律 Conservation of angular momentum
    空间站轨道速率 Space Station Speed in Orbit
    空间站处由于重力导致的加速度 Acceleration Due to Gravity at the Space Station
    过山车答案2 Loop De Loop Answer part 2
    过山车答案1 Loop De Loop Answer part 1
    单位向量表示的点乘和叉乘运算 Calculating dot and cross products with unit vector notation
    物体图像和焦距之间的关系式 Object Image and Focal Distance Relationship (Proof of Formula)
    周期波的幅度,周期,频率,波长 Amplitude, Period, Frequency and Wavelength of Periodic Waves
    绕圈问题 Loop De Loop Question
    用微积分证明向心加速度公式 Calculus proof of centripetal acceleration formula
    角速度和速率的关系 Relationship between angular velocity and speed
  • 概率 Probability

    生物 Biology

  • 扩散与渗透 Diffusion and Osmosis 遗传概述 Introduction to Heredity 免疫反应的种类 Types of immune responses Innate and Adaptive.Humoral vs Cell-Mediated
    细胞结构 Parts of a cell 减数分裂 Phases of Meiosis 吞噬细胞在先天性免疫中的作用 Role of Phagocytes in Innate or Nonspecific Immunity
    CAM植物 CAM Plants ATP,三磷酸腺苷 ATP,Adenosine Triphosphate-ATP 肌细胞的构造 Anatomy of a muscle cell
    C-4光合作用 C-4 Photosynthesis 染色体,染色单体,染色质等 Chromosomes, Chromatids, Chromatin, etc- 肌浆网在肌细胞内的作用 Role of the Sarcoplasmic Reticulum in Muscle Cells
    光呼吸 Photorespiration 物种变异 Variation in a Species 肌凝蛋白与肌动蛋白 Myosin and Actin
    光合作用-卡尔文循环 Photosynthesis, Calvin Cycle 分类学与生命树 Taxonomy and the Tree of Life 神经元突触 Neuronal Synapses
    光合作用-光反应与光合磷酸化 Photosynthesis Light Reactions and Photophosphorylation 物种 Species 神经元内的跳跃传导 Saltatory Conduction in Neurons
    光合作用-光反应1 Photosynthesis Light Reactions 1 肾元中的次级主动运输 Secondary Active Transport in the Nephron 电紧张电位与动作电位 Electrotonic and Action Potentials
    光合作用概述 Photosynthesis DNA DNA 关于钠钾泵的更正 Correction to Sodium and Potassium Pump Video
    氧化磷酸化与化学渗透 Oxidative Phosphorylation and Chemiosmosis 肾与肾元 The Kidney and Nephron 钠钾泵 Sodium Potassium Pump
    电子传递链 Electron Transport Chain 炎性反应 Inflammatory Response 神经元构造 Anatomy of a Neuron
    克雷布斯循环 Krebs Circle 复习B细胞与T细胞 Review of B cells, CD4+ T cells and CD8+ T cells 血红蛋白 Hemoglobin
    从生物学角度复习氧化还原反应 Oxidation and Reduction Review From Biological 细胞毒性T细胞 Cytotoxic T Cells 循环系统与心脏 Circulatory System and the Heart
    细胞呼吸概述 Introduction to Cellular Respiration 辅助T细胞 Helper T Cells 红细胞 Red blood cells
    Weinberg原理 Hardy-Weinberg Principle-Hardy-Weinberg APC与MHC II复合体 Professional Antigen Presenting Cells (APC) and MHC II 肺与肺系统 The Lungs and Pulmonary System
    庞尼特方格 Punnett Square Fun B细胞 B Lymphocytes (B cells) 原肌凝蛋白和肌钙蛋白及它们在肌肉收缩时扮演的角色 Tropomyosin and troponin and their role in regulating muscle contraction
  • 扩散与渗透 Diffusion and Osmosis
    细胞结构 Parts of a cell
    CAM植物 CAM Plants
    C-4光合作用 C-4 Photosynthesis
    光呼吸 Photorespiration
    光合作用-卡尔文循环 Photosynthesis, Calvin Cycle
    光合作用-光反应与光合磷酸化 Photosynthesis Light Reactions and Photophosphorylation
    光合作用-光反应1 Photosynthesis Light Reactions 1
    光合作用概述 Photosynthesis
    氧化磷酸化与化学渗透 Oxidative Phosphorylation and Chemiosmosis
    电子传递链 Electron Transport Chain
    克雷布斯循环 Krebs Circle
    从生物学角度复习氧化还原反应 Oxidation and Reduction Review From Biological
    细胞呼吸概述 Introduction to Cellular Respiration
    Weinberg原理 Hardy-Weinberg Principle-Hardy-Weinberg
    庞尼特方格 Punnett Square Fun
    遗传概述 Introduction to Heredity
    减数分裂 Phases of Meiosis
    ATP,三磷酸腺苷 ATP,Adenosine Triphosphate-ATP
    染色体,染色单体,染色质等 Chromosomes, Chromatids, Chromatin, etc-
    物种变异 Variation in a Species
    分类学与生命树 Taxonomy and the Tree of Life
    物种 Species
    肾元中的次级主动运输 Secondary Active Transport in the Nephron
    DNA DNA
    肾与肾元 The Kidney and Nephron
    炎性反应 Inflammatory Response
    复习B细胞与T细胞 Review of B cells, CD4+ T cells and CD8+ T cells
    细胞毒性T细胞 Cytotoxic T Cells
    辅助T细胞 Helper T Cells
    APC与MHC II复合体 Professional Antigen Presenting Cells (APC) and MHC II
    B细胞 B Lymphocytes (B cells)
    免疫反应的种类 Types of immune responses Innate and Adaptive.Humoral vs Cell-Mediated
    吞噬细胞在先天性免疫中的作用 Role of Phagocytes in Innate or Nonspecific Immunity
    肌细胞的构造 Anatomy of a muscle cell
    肌浆网在肌细胞内的作用 Role of the Sarcoplasmic Reticulum in Muscle Cells
    肌凝蛋白与肌动蛋白 Myosin and Actin
    神经元突触 Neuronal Synapses
    神经元内的跳跃传导 Saltatory Conduction in Neurons
    电紧张电位与动作电位 Electrotonic and Action Potentials
    关于钠钾泵的更正 Correction to Sodium and Potassium Pump Video
    钠钾泵 Sodium Potassium Pump
    神经元构造 Anatomy of a Neuron
    血红蛋白 Hemoglobin
    循环系统与心脏 Circulatory System and the Heart
    红细胞 Red blood cells
    肺与肺系统 The Lungs and Pulmonary System
    原肌凝蛋白和肌钙蛋白及它们在肌肉收缩时扮演的角色 Tropomyosin and troponin and their role in regulating muscle contraction
  • 统计学 Statistics

  • 基础化学 Chemistry

  • 三角学 Trigonometry

  • 三角形 1 Triangle I

  • 多边形、四边形和平行四边形 Polygon,Quadrilateral,Parallelogram

  •