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Mathematics B (MEI) - H630
18セクション
Pure Mathematics: Proof
Proof
Pure Mathematics: Algebra
Algebraic language
Solution of equations
Solution of equations
Inequalities
Surds Indices
Proportion
Polynomials
Pure Mathematics: Functions
Polynomials
Pure Mathematics: Graphs
Graphs
Sketching curves
Transformations
Pure Mathematics: Coordinate Geometry
The coordinate geometry of straight lines
The coordinate geometry of curves
Pure Mathematics: Sequences and Series
Binomial expansions
Pure Mathematics: Trigonometry
Basic trigonometry
Trig. functions
Area of triangle; sine and cosine rules
Identities
Equations
Pure Mathematics: Exponentials and Logarithms
Exponentials and Logarithms
Exponentials and natural logarithms
Exponential growth and decay
Pure Mathematics: Calculus
Basic differentiation
Differentiation of functions
Applications of differentiation to functions and graphs
Integration as reverse of differentiation
Integration to find area under a curve
Pure Mathematics: Vectors
General vectors
Position vectors
Using vectors
Statistics: Sampling
Population and sample
Sampling techniques
Statistics: Data representation and interpretation
Data presentation for single variable
Data presentation
Summary measures
Statistics: Probability
Probability of events in a finite sample space
Probability of two or more events
Statistics: Probability Distributions
Situations leading to a binomial distribution
Calculations relating to binomial distribution
Mean and expected frequencies for binomial distribution
Discrete probability distributions
Statistics: Statistical Hypothesis Testing
Hypothesis testing
Hypothesis testing for a binomial probability p
Mechanics: Models and Quantities
Standard models in mechanics
Units and quantities
Mechanics: Kinematics in 1 Dimension
Motion in 1 dimension
Kinematics graphs
Calculus in kinematics
Constant acceleration formulae
Problem solving
Mechanics: Forces
Identifying and representing forces
Vector treatment of forces
Newton’s laws for a particle
Connected particles
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