피어슨 에덱셀 · International A-Level · Further Mathematics

• 1.4.1 Further Pure Mathematics 1: complex numbers, matrices and proof
• 1.1.1 1.1.2 1.1.3 1.1.4 Complex numbers
• 1.1.5 1.1.6 Complex roots of polynomials
• 1.2.1 1.2.2 1.2.3 Roots of quadratic equations
• 1.3.1 Numerical solution of equations
• 1.4.1 1.4.2 1.4.3 1.4.4 Parabola and rectangular hyperbola
• 1.5.1 1.5.2 1.5.3 1.5.4 1.5.5 Matrix algebra
• 1.6.1 1.6.2 1.6.3 1.6.4 Transformations using matrices
• 1.7.1 Series
• 1.8.1 Proof by mathematical induction
• 1.8.1 Checklist before you call this unit done

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• 3.1.1 Further Pure Mathematics 3: hyperbolic functions, conics, vectors and matrices
• 3.1.1 Hyperbolic functions
• 3.1.2 Inverse hyperbolic functions
• 3.2.1 3.2.2 The ellipse and the hyperbola
• 3.2.3 3.2.4 Tangents, normals and loci
• 3.3.1 3.3.2 Differentiating hyperbolic and inverse functions
• 3.4.1 3.4.2 Integrating hyperbolic and inverse functions
• 3.4.3 3.4.4 3.4.5 3.4.6 Substitutions, reduction formulae and surfaces of revolution
• 3.5.1 3.5.2 3.5.3 Vectors: products, lines and planes
• 3.6.1 3.6.2 3.6.3 3.6.4 3.6.5 3.6.6 3.6.7 3.6.8 Further matrix algebra
• 3.6.1 3.6.2 3.6.3 3.6.4 3.6.5 3.6.6 3.6.7 3.6.8 Checklist before you call this unit done

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• 1.1.1 Mechanics 1: models, motion and forces
• 1.1.1 Mathematical models in mechanics
• 1.2.1 1.2.2 Vectors in mechanics
• 1.3.1 Kinematics of a particle in a straight line
• 1.4.1 1.4.2 Newton's laws and connected particles
• 1.4.3 Momentum and impulse
• 1.4.4 Friction
• 1.5.1 1.5.2 1.5.3 Statics of a particle
• 1.6.1 Moments
• 1.6.1 Checklist before you call this unit done

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• 2.1.1 역학 2: 포물선 운동, 질심, 에너지 및 충돌
• 2.1.1 2.1.2 2.1.3 2.1.4 가변 가속도의 운동학
• 2.2.1 2.2.2 질량 중심: 입자, 판재 및 와이어 프레임
• 2.2.3 판 및 구조물의 걸이기
• 2.3.1 일, 에너지, 출력
• 2.4.1 2.4.2 충돌 및 반발계수
• 2.4.3 연속 충돌
• 2.5.1 2.5.2 경직체의 정역학
• 2.5.1 2.5.2 이 단원을 완료하기 전 체크리스트

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• 1.1.1 Statistics 1: data, probability, regression and distributions
• 1.1.1 Mathematical models in probability and statistics
• 1.2.1 Representing data: histograms, stem and leaf, box plots
• 1.2.2 1.2.3 Measures of location and dispersion
• 1.2.4 Skewness
• 1.3.1 1.3.2 1.3.3 1.3.4 Probability
• 1.4.1 1.4.2 1.4.3 Correlation and regression
• 1.5.1 1.5.2 1.5.3 1.5.4 Discrete random variables
• 1.5.1#occurrence2 The Normal distribution
• 1.5.1#occurrence2 Checklist before you call this unit done

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• 3.1.1 Statistics 3: samples, estimation, chi-squared and correlation
• 3.1.1 Combinations of random variables
• 3.2.1 3.2.2 Sampling methods
• 3.3.1 3.3.2 Estimators, bias and the sample mean
• 3.3.3 3.3.4 3.3.5 3.3.6 3.3.7 3.3.8 Confidence intervals and tests for a mean
• 3.4.1 3.4.2 Goodness of fit and contingency tables
• 3.5.1 3.5.2 Rank correlation and its test
• 3.5.1 3.5.2 Checklist before you call this unit done

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• 1.1.1 Decision Mathematics 1: algorithms, networks and linear programming
• 1.1.1 1.1.2 Sorting and packing algorithms
• 1.2.1 1.2.2 Minimum spanning trees
• 1.2.2 Shortest paths
• 1.3.1 The Chinese postman problem
• 1.3.2 1.3.3 1.3.4 The travelling salesman problem
• 1.4.1 1.4.2 1.4.3 1.4.4 Critical path analysis
• 1.5.1 1.5.2 1.5.3 Linear programming
• 1.5.1 1.5.2 1.5.3 Checklist before you call this unit done

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