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بيرون إيديكلر · International A-Level · Mathematics

  • 1

    P1 · Pure Mathematics 1

  • 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 المتتاليات والمتسلسلات
    • 2.5.1 2.5.2 2.5.3 الدوال الأسية واللوغاريتمات
    • 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
  • 3

    P3 · Pure Mathematics 3

    • 3.2.3 Pure Mathematics 3: functions, identities and calculus at speed
    • 3.1.1 3.1.2 Algebra: rational expressions and functions
    • 3.1.3 3.1.4 The modulus function and combined transformations
    • 3.2.1 3.2.2 3.2.3 Further trigonometry: sec, cosec, cot and harmonic form
    • 3.3.1 3.3.2 3.3.3 Exponentials, logarithms and log-graph models
    • 3.4.1 3.4.2 3.4.3 3.4.4 Differentiation: rules, implicit and models
    • 3.5.1 3.5.2 Integration: standard forms and recognition
    • 3.6.1 3.6.2 Numerical methods: sign changes and iteration
    • 3.6.1 3.6.2 Checklist before you call this unit done
  • 4

    P4 · Pure Mathematics 4

    • 4.4.1 الرياضيات البحتة 4: البرهان، المعاملات، والتفاضل والتكامل الكامل
    • 4.1.1 البرهان بالتناقض
    • 4.2.1 الكسور الجزئية
    • 4.3.1 المعادلات البارامترية
    • 4.4.1 متسلسلة ذات الحدين لأي n نسبي
    • 4.5.1 الاشتقاق الضمني والبارامتري
    • 4.5.2 4.6.4 المعادلات التفاضلية ومعدلات التغير المرتبطة
    • 4.6.2 4.6.3 التكامل: التعويض، بالتجزئة والكسور الجزئية
    • 4.6.1 4.6.5 أحجام الدوران ومساحات المعلمات
    • 4.7.1 4.7.2 4.7.3 4.7.4 4.7.5 4.7.6 4.7.7 المتجهات
    • 4.7.1 4.7.2 4.7.3 4.7.4 4.7.5 4.7.6 4.7.7 قائمة التحقق قبل إكمال هذه الوحدة
  • 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
  • 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 احتمال
    • 1.4.1 1.4.2 1.4.3 Correlation and regression
    • 1.5.1 1.5.2 1.5.3 1.5.4 متغيرات عشوائية متقطعة
    • 1.5.1#occurrence2 The Normal distribution
    • 1.5.1#occurrence2 Checklist before you call this unit done
  • 7

    S1 · Statistics 1

    • 2.1.1 Mechanics 2: projectiles, centres of mass, energy and collisions
    • 2.1.1 2.1.2 2.1.3 2.1.4 Kinematics with variable acceleration
    • 2.2.1 2.2.2 Centres of mass: particles, laminas and wire frameworks
    • 2.2.3 Suspending laminas and frameworks
    • 2.3.1 الشغل والطاقة والقدرة
    • 2.4.1 2.4.2 Collisions and restitution
    • 2.4.3 Successive impacts
    • 2.5.1 2.5.2 Statics of rigid bodies
    • 2.5.1 2.5.2 Checklist before you call this unit done
  • 8

    S2 · Statistics 2

    • 8.1 Statistics 2: distributions, continuous variables and hypothesis tests
    • 8.2 The binomial and Poisson distributions
    • 8.3 المتغيرات العشوائية المستمرة
    • 8.4 The continuous uniform distribution
    • 8.5 Populations, samples and statistics
    • 8.6 اختبارات الفرضيات
    • 8.7 Checklist before you call this unit done
  • 9

    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 تحليل المسار الحرج
    • 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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