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General Maths
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Bivariate Data Analysis
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Time Series Analysis
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Growth and Decay in Sequences
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地球几何和时区
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贷款，投资和年金
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Graphs and Networks
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Networks and Decision Mathematics
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Maths Methods
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对数函数2
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Further Differentiation and Applications 2
- 指数函数的第一个主要分化的限制
- Euler's Number and the Exponential Function (e^x)
- Differentiation of Euler's number
- 通过指数函数及其导数进行建模
- Natural Logarithm
- The Inverse Relationship between y = e^x and y = ln(x)
- Differentiation of ln(x)
- Solving Problems with Logarithmic Functions and their Derivatives
- Differentiation of Trigonometric Functions
- Modelling Trigonometric Functions and their Derivatives
- Solving Problems with Trigonometric Functions and their Derivatives
- 产品规则，商规则和链条规则
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Integrals
- 抗差异
- Notation for Anti-Differentiation
- How do I Integrate?
- Integration of e^x
- 1/x的集成
- Integration of Trigonometric Functions
- Formula of Indefinite Integrals
- Indefinite Integrals (U-Substitution)
- Finding Displacement Given Velocity (Linear Motion Problems)
- Estimating Area Under Curve
- Trapezoidal Rule
- Definite Integrals
- Understanding the Fundamental Theorem of Calculus
- 计算曲线下的区域
- Calculating Total Change
- Calculating the Area between Curves
- 确定加速和初始条件的位移
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Further Differentiation and Applications 3
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Trigonometric Functions 2
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离散随机变量2
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连续随机变量和正态分布
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Interval Estimates for Proportions
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Specialist Maths
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矩阵
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Complex Numbers
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Proof
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Vectors
- Application of Vector Methods
- Vector Equation of a Curve
- 载体的笛卡尔坐标
- 即时通讯portance of Vectors in Geometry
- Area of a Shape
- 点产物和向量角
- 2D中的笛卡尔方程
- Vectors Operations
- 向量随时间的函数
- Geometric Results of Vectors
- Further Operations with Vectors
- Vector Functions
- Cross Product
- Orthogonal, Parallel or Neither Vectors
- Vector Notation
- Equation of Motion
- Unit Vectors and Vectors in Two Dimensions
- Parallel Vectors and Projection
- 3D矢量投影
- 用向量弹丸运动
- 向量 - 弹丸运动简介
- Solving Projectile Motion Questions
- Circulation Motion Using Vectors
- 参数方程
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Further Calculus
- 变量的分离
- Integrals of Cosine and Sine Double Angles
- 通过替换整合
- 使用日志集成
- Integration of Inverse Trig
- Derivatives of Inverse Trignometric Functions
- 正弦和余弦的双角度公式
- Integral of Squared Trigonometric Functions
- Integration by Parts
- 部分分数
- Area Between Curves
- Solids of a Revolution
- Solid of Revolution Between Curves
- Simpson's Rule
- Use and Apply the Probability Density Function
- 即时通讯plicit Differentiation
- Chain Rule
- Types of Differential Equations
- Solving Differential Equations
- 什么是微分方程？
- 一阶线性微分方程
- Simple Harmonic Motion
- 梯度字段
- 军队
- 常数与非恒定力
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Further Statistical Analysis
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Chemistry
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3.1：化学平衡系统
- Introduction to Equilibrium Constants
- Applying Equilibrium Constants
- 酸和碱的性质简介
- Strengths of Acids and Bases
- Introduction to the pH Scale
- 布朗斯特 - 洛里模型简介
- 两亲物种
- Conjugate Acids and Bases
- Introduction to Dissociation Constants
- Relative Strengths of Acids and Bases
- Introduction to Acid-Base Indicators
- Indicator's pH Range and pKa
- Buffers
- Introduction to Volumetric Analysis
- 滴定曲线
- Solving Titration Problems
- 有些事情要寻找她
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3.2: Oxidation and Reduction
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4.1: Properties and Structures of Organic Materials
- 有机化合物结构简介
- Esters
- Structural Isomers
- Stereoisomers
- Introduction to Physical Properties and Trends
- Volatility
- Introduction to Organic Reactions and Reaction Pathways
- Saturated Vs Unsaturated Compound Reactions
- 氧化和燃烧
- Substitution Reactions
- 加法反应
- 酯化
- 形成酰胺
- 形成硝酸盐
- Elimination Reactions
- Forming Reaction Pathways
- Introduction to Organic Materials: Structure and Function
- Primary, Secondary, Tertiary and Quaternary Proteins
- Monosaccharides and Triglycerides
- Saponification
- Polymers
- 分析技术简介
- Mass Spectrometry
- X-Ray Crystallography
- 红外光谱法
- H-NMR Spectroscopy
- 有些事情要寻找她
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4.2: Chemical Synthesis and Design
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Biology
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3.1: Describing Biodiversity
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3.2:生态系统Dynamics
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4.1: DNA, Genes and the Continuity of Life
- Introduction to DNA Structure and Replication
- Introduction to Cellular Replication and Variation
- Independent Assortment and Random Variation
- Introduction to Gene Expression
- 外显子和内含子
- The Process of Protein Synthesis
- Purpose of Gene Expression
- 表型和基因表达
- 差异基因表达和转录因子
- 突变简介
- Aneuploidy
- 核型
- 继承简介
- 基因型变异和突变
- Polygenic Inheritance
- 生物技术简介
- DNA测序
- PCR and Gel Electrophoresis
- 有些事情要寻找她
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4.2：地球上生命的连续性
- Introduction to Evolution
- 物种之间的关系
- Introduction to Natural Selection and Microevolution
- Selection of Allele Frequency
- Types of Phenotypic Selection
- Microevolutionary Change
- Introduction to Speciation and Macroevolution
- 物种多样化的模式
- Modes of Speciation
- Gene Flow
- The Relationship Between Genetic Diversity and Extinction
- 有些事情要寻找她
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Physics
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3.1: Gravity and Motion
- Resolving Vectors into Perpendicular Components
- 添加和减法向量以确定结果矢量
- 速度矢量的水平和垂直成分
- Vector Analysis of Projectile Motion
- Horizontal Distance Travelled by an Object Projected at Various Angles
- Solving Problems involving Force due to Gravity and Mass (F = mg)
- 正常力
- Representing Forces on an Inclined Plane using Free Body Diagrams
- Calculating the Net Force of an Object on an Inclined Plane
- Uniform Circular Motion
- Average Speed and Period
- Solving Problems involving Average Speed of Objects undergoing Circular Motion
- Centripetal Acceleration and Centripetal Force
- 牛顿普遍重力定律
- 解决涉及两个质量重力大小的问题
- Gravitational Field Strength
- 解决涉及重力场强度的问题
- 开普勒的行星运动定律
- Solving Problems involving Kepler's Third Law
- Derivation of Kepler's Third Law
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3.2: Electromagnetism
- Coulomb's Law
- 电场，电场强度和电势能
- Solving Problems involving the Work Done when an Electric Charge Moves in an Electric Field
- 磁场
- 代表磁场线
- 电荷产生磁场
- Determining the Magnitude and Direction of a Magnetic Field around Current-Carrying Conductors and Solenoid
- Force experienced by Current-Carrying Conductors and Moving Electric Charges in Magnetic Fields
- Force Acting on a Conductor in a Magnetic Field
- Strength of a Magnet at Various Distances
- Magnetic Flux, Magnetic Flux Density, Electromagnetic Induction, EMF, Faraday's Law and Lenz's Law
- Solving Problems involving the Magnetic Flux in a Current-Carrying Loop
- The Process of Inducing an EMF across a Moving Conductor in a Magnetic Field
- Solving Problems involving Faraday's Law and Lenz's Law
- Lenz's Law and The Principle of Conservation of Energy
- Transformers in terms of Faraday's Law and Electromagnetic Induction
- Electromagnetic Radiation
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4.1：特殊相对论
- Natural Phenomena that cannot be explained by Newtonian Physics (Muons In the Atmosphere)
- 参考框架和惯性参考框架
- Two Postulates of Special Relativity
- Simultaneity
- The Consequences of the Constant Speed of Light in a Vacuum
- 时间扩张，长度收缩和相对论动量
- Mass-Energy Relationship
- Why Can No Object Travel at the Speed of Light?
- Paradoxical Scenarios (Twins Paradox, Flashlights on a Train and Ladder in the Barn Paradox)
- Young's Double Slit and the Wave Model of Light
- 光作为电磁波
- Black Body Radiation
- Photons
- Solving Problems involving the Energy, Frequency and Wavelength of a Photon
- 光电子的光电效应
- Threshold Frequency, Planck's Constant and Work Function
- Solving Problems involving the Photoelectric Effect
- Characteristics of Photons (Particles and Waves)
- Rutherford's Model of the Atom and Limitations
- Bohr Model of the Atom
- The Specific Wavelengths in the Hydrogen Line Spectrum
- Solving Problems involving the Line Spectra of Atoms
- Investigating the Photoelectric Effect
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4.2: The Standard Model
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