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2
P2 · Pure Mathematics 2
- 2.5.2 Pure Mathematics 2: building on the P1 toolkit
- 2.1.1 2.1.2 2.1.3 Proof
- 2.2.1 Algebra: the factor and remainder theorems
- 2.3.1 Coordinate geometry of the circle
- 2.4.1 2.4.2 2.4.3 2.4.4 2.4.5 Sequences and series
- 2.5.1 2.5.2 2.5.3 Exponentials and logarithms
- 2.6.1 2.6.2 Trigonometric identities and equations
- 2.7.1 Differentiation: stationary points
- 2.8.1 2.8.2 2.8.3 Integration: areas and the trapezium rule
- 2.8.1 2.8.2 2.8.3 Checklist before you call this unit done
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3
P3 · Pure Mathematics 3
- 3.2.3 순수 수학 3: 속도로 배우는 함수, 항등식 및 미적분학
- 3.1.1 3.1.2 Algebra: rational expressions and functions
- 3.1.3 3.1.4 절댓값 함수와 합성 변환
- 3.2.1 3.2.2 3.2.3 추가 삼각함수: sec, cosec, cot 및 조화형
- 3.3.1 3.3.2 3.3.3 지수함수, 로그 및 로그-그래프 모델
- 3.4.1 3.4.2 3.4.3 3.4.4 미분: 규칙, 암미분 및 모델
- 3.5.1 3.5.2 적분: 표준 형태 및 식별
- 3.6.1 3.6.2 수치 해석법: 부호 변화와 반복법
- 3.6.1 3.6.2 이 단원을 완료하기 전 체크리스트
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4
P4 · Pure Mathematics 4
- 4.4.1 Pure Mathematics 4: proof, parametrics and the full calculus
- 4.1.1 Proof by contradiction
- 4.2.1 Partial fractions
- 4.3.1 Parametric equations
- 4.4.1 The binomial series for any rational n
- 4.5.1 Implicit and parametric differentiation
- 4.5.2 4.6.4 Differential equations and connected rates
- 4.6.2 4.6.3 Integration: substitution, parts and partial fractions
- 4.6.1 4.6.5 Volumes of revolution and parametric areas
- 4.7.1 4.7.2 4.7.3 4.7.4 4.7.5 4.7.6 4.7.7 Vectors
- 4.7.1 4.7.2 4.7.3 4.7.4 4.7.5 4.7.6 4.7.7 Checklist before you call this unit done
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5
M1 · Mechanics 1
- 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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6
M2 · Mechanics 2
- 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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7
S1 · Statistics 1
- 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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8
S2 · Statistics 2
- 8.1 Statistics 2: distributions, continuous variables and hypothesis tests
- 8.2 The binomial and Poisson distributions
- 8.3 Continuous random variables
- 8.4 The continuous uniform distribution
- 8.5 Populations, samples and statistics
- 8.6 Hypothesis tests
- 8.7 Checklist before you call this unit done
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D1 · Decision Mathematics 1
- 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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