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CIE International A-Level Maths: Pure Mathematics 2/3

سرفصل های دوره

Master the content from Papers 2 & 3 (Pure Mathematics 2 & 3) of Cambridge International A-Level Maths


1. Introduction
  • 1. Introduction
  • 2. Whats the Difference Between Paper 2 and Paper 3

  • 2. Algebra
  • 1. The Modulus Function - Graphs - Part 1
  • 2. The Modulus Function - Graphs - Part 1 - quiz.html
  • 3. The Modulus Function - Graphs - Part 2
  • 4. The Modulus Function - Graphs - Part 2 - quiz.html
  • 5. The Modulus Function - Equations and Inequalities - Part 1
  • 6. The Modulus Function - Equations and Inequalities - Part 1.html
  • 7. The Modulus Function - Equations and Inequalities - Part 2
  • 8. The Modulus Function - Equations and Inequalities - Part 2.html
  • 9. Polynomial Division
  • 10. Polynomial Division Intro - quiz.html
  • 11. Polynomial Division - Examples - 1
  • 12. Division Examples - part 1 - quiz.html
  • 13. Polynomial Division - Examples - 2
  • 14. Division Examples - part 2 - quiz.html
  • 15. Remainders - Part 1
  • 16. Remainders - part 1 - quiz.html
  • 17. Remainders - Part 2
  • 18. Remainders - part 2 - quiz.html
  • 19. The Factor Theorem
  • 20. The Factor Theorem - quiz.html
  • 21. The Long Division Method
  • 22. The Long Division Method - quiz.html

  • 3. Logarithms and Exponential Functions
  • 1. Exponential Functions - Intro
  • 2. Exponentials Introduction - quiz.html
  • 3. THE Exponential Function
  • 4. THE Exponential Function - quiz.html
  • 5. Differentiating e^x
  • 6. Differentiating e^x - quiz.html
  • 7. Exponential Modelling
  • 8. Exponential Modelling - quiz.html
  • 9. Logarithms - Intro
  • 10. Logarithms Introduction - quiz.html
  • 11. Simplifying Logarithms
  • 12. Logarithms Laws
  • 13. Using Log Laws
  • 14. Using the Log Laws - quiz.html
  • 15. Logarithmic Equations - Part 1
  • 16. Solving Logarithmic Equations - part 1 - quiz.html
  • 17. Logarithmic Equations - Part 2
  • 18. Solving Logarithmic Equations - part 2 - quiz.html
  • 19. The Natural Logarithm
  • 20. The Natural Log - quiz.html
  • 21. Logarithmic Graph
  • 22. Graphs of Logarithms - quiz.html
  • 23. Non-Linear Data - Exponential Models
  • 24. Non-Linear Data - Exponential Models - quiz.html
  • 25. Non-Linear Data - Polynomial Models
  • 26. Non-Linear Data - Polynomial Models - quiz.html
  • 27. Non-Linear Data - Exam Questions
  • 28. Non-Linear Data - Exam Question - quiz.html

  • 4. Trigonometry
  • 1. Sec, Cosec and Cot
  • 2. Graphs of Sec, Cosec and Cot
  • 3. Graphs of Sec, Cosec and Cot - quiz.html
  • 4. Sec, Cosec and Cot - Simple Identities
  • 5. Sec, Cosec and Cot - Simple Equations
  • 6. Sec, Cosec and Cot - Simple Equations - quiz.html
  • 7. The Pythagorean Identities
  • 8. The Pythagorean Identities - quiz.html
  • 9. The Pythagorean Identities - Proving Identities
  • 10. The Pythagorean Identities - Proving Identities - quiz.html
  • 11. The Pythagorean Identities - Solving Equations
  • 12. The Pythagorean Identities - Solving Equations - quiz.html
  • 13. The Pythagorean Identities - Exam-Style Problems
  • 14. The Pythagorean Identities - Exam Style Problems - quiz.html
  • 15. Inverse Trig Functions - Graphs
  • 16. Inverse Trig Functions - Graphs - Quiz.html
  • 17. Inverse Trig Functions - Calculations
  • 18. Inverse Trig Functions - Calculations - quiz.html
  • 19. The Addition Formulae
  • 20. Using The Addition Formulae
  • 21. Using the Addition Formulae - quiz.html
  • 22. The Double Angle Formulae
  • 23. The Double Angle Formulae - Solving Equations - Part 1
  • 24. The Double Angle Formulae - Solving Equations - Part 1.html
  • 25. The Double Angle Formulae - Solving Equations - Part 2
  • 26. The Double Angle Formulae - Solving Equations - Part 2.html
  • 27. The Double Angle Formulae - Proving Identities
  • 28. The Double Angle Formulae - Proving Identities - quiz.html
  • 29. The Double Angle Formulae - Exam-Style Problems
  • 30. The Double Angle Formulae - Exam-Style Problems - quiz.html
  • 31. Harmonic Form acos(x) + bsin(x)
  • 32. Harmonic Form acosx + bsinx.html
  • 33. Harmonic Form - Solving Equations
  • 34. Harmonic Form - Solving Equations - quiz.html
  • 35. Harmonic Form - Minimum and Maximum Points - Part 1
  • 36. Harmonic Form - Minimum and Maximum - Part 1 - quiz.html
  • 37. Harmonic Form - Minimum and Maximum Points - Part 2
  • 38. Harmonic Form - Minimum and Maximum - Part 2 - quiz.html
  • 39. Modelling With Trigonometric Equations
  • 40. Modelling With Trig Equations - quiz.html

  • 5. Differentiation
  • 1. Differentiating Sin(x) and Cos(x)
  • 2. Differentiating Sinx and Cosx - quiz.html
  • 3. Using the Derivatives of Sin(x) and Cos(x)
  • 4. Using the Derivatives of Sinx and Cosx.html
  • 5. Differentiating Exponential Functions
  • 6. Differentiating Exponential Functions - quiz.html
  • 7. Differentiating Ln(x)
  • 8. Differentiating lnx - quiz.html
  • 9. The Chain Rule - f(x)^n
  • 10. The Chain Rule - f(x)^n - quiz.html
  • 11. The Chain Rule - Trigonometric Functions
  • 12. The Chain Rule - Trigonometric Functions - quiz.html
  • 13. The Chain Rule - Exponential Functions
  • 14. The Chain Rule - Exponential Functions - quiz.html
  • 15. The Chain Rule - Logarithmic Functions
  • 16. The Chain Rule - Logarithmic Functions - quiz.html
  • 17. The Product Rule
  • 18. The Product Rule - quiz.html
  • 19. The Quotient Rule
  • 20. The Quotient Rule - quiz.html
  • 21. Derivatives of Tan, Sec, Cosec and Cot
  • 22. Derivatives of Tan, Sec, Cosec and Cot - quiz.html
  • 23. Using the Derivatives of Tan, Sec, Cosec and Cot
  • 24. Using the Derivatives of Tan, Sec, Cosec and Cot - quiz.html
  • 25. Implicit Differentiation
  • 26. Implicit Differentiation - quiz.html
  • 27. Implicit Differentiation - Stationary and Critical Points
  • 28. Implicit Differentiation - Stationary and Critical Points - quiz.html
  • 29. Second Derivatives - Convex and Concave Functions
  • 30. Second Derivatives - Convex and Concave Functions - quiz.html
  • 31. Parametric Equations - Introduction
  • 32. Converting Parametric Equations to Cartesian Form - Substitution
  • 33. Converting Parametric Equations to Cartesian Form - Substitution - quiz.html
  • 34. Converting Parametric Equations to Cartesian Form - Pythagorean Identities
  • 35. Converting Parametric Equations to Cartesian Form - Pythagorean Identities - qui.html
  • 36. Converting Parametric Equations to Cartesian Form - Double Angles
  • 37. Converting Parametric Equations to Cartesian Form - Double Angle Formulae - quiz.html
  • 38. Intersections of Parametric Equations and Lines
  • 39. Intersection of a Parametric Equation with a Line.html
  • 40. Differentiating Parametric Curves
  • 41. Differentiating Parametric Equations - quiz.html
  • 42. Differentiating Parametric Curves - Stationary Points
  • 43. Differentiating Parametric Equations - Stationary and Critical Points - quiz.html

  • 6. Integration
  • 1. Integrating Standard Functions
  • 2. Integrating Standard Functions - quiz.html
  • 3. Integrating f(ax + b)
  • 4. Integrating f(ax+b) - quiz.html
  • 5. Trigonometric Identities For Integration - Pythagorean Identities
  • 6. Trig Identities for Integration - Pythagorean Identities - quiz.html
  • 7. Trigonometric Identities For Integration - Double Angle Formulae
  • 8. Trig Identities for Integration - Double Angle Formulae - quiz.html

  • 7. Numerical Solutions of Equations
  • 1. Locating Roots
  • 2. Iteration - Part 1
  • 3. Iteration - Part 2

  • 8. Further Algebra
  • 1. Partial Fractions - Two Factors
  • 2. Two Factors - quiz.html
  • 3. Partial Fractions - Three Factors
  • 4. Three Factors - quiz.html
  • 5. Partial Fractions - Repeated Factors
  • 6. Repeated Factors - quiz.html
  • 7. Partial Fractions - Top Heavy Fractions
  • 8. Top Heavy Fractions - quiz.html
  • 9. The Binomial Expansion Formula (When n is Not a Positive Integer)
  • 10. The Binomial Expansion Formula - quiz.html
  • 11. Using the Binomial Expansion Formula
  • 12. Using Binomial Expansion - quiz.html
  • 13. Binomial Expansion When the First Term is Not 1
  • 14. When The First Term Is Not 1 - quiz.html
  • 15. Approximations
  • 16. Approximations - quiz.html
  • 17. Binomial Expansion - Algebraic Fractions
  • 18. Binomial Expansion With Algebraic Fractions - quiz.html
  • 19. Binomial Expansion - Partial Fractions
  • 20. Binomial Expansion With Partial Fractions - quiz.html

  • 9. Further Integration
  • 1. Reverse Chain Rule f(x)[f(x)]^n - Part 1
  • 2. Reverse Chain Rule f(x)[f(x)]^n - Part 2
  • 3. Reverse Chain Rule - f(x)[f(x)]^n - quiz.html
  • 4. Reverse Chain Rule - Exponentials
  • 5. Reverse Chain Rule - Exponential Functions - quiz.html
  • 6. Reverse Chain Rule - Logarithmic Functions - Part 1
  • 7. Reverse Chain Rule - Logarithmic Functions - Part 2
  • 8. Reverse Chain Rule - Logarithmic Functions - quiz.html
  • 9. Mixed Reverse Chain Rule Problems
  • 10. Using Partial Fractions For Integration - Part 1
  • 11. Using Partial Fractions For Integration - Part 2
  • 12. Using Partial Fractions for Integration - quiz.html
  • 13. Integration By Parts - Polynomial x Exponential
  • 14. Integration by Parts - Polynomial x Exponential - quiz.html
  • 15. Integration By Parts - Polynomial x Trigonometric
  • 16. Integration by Parts - Polynomial x Trigonometric - quiz.html
  • 17. Integration By Parts - Polynomial x Logarithmic
  • 18. Integration by Parts - Polynomial x Logarithmic - quiz.html
  • 19. Integration By Parts - Exponential x Trigonometric
  • 20. Integration by Parts - Exponential x Trigonometric - quiz.html
  • 21. Integration By Substitution 1 Alternative to Reverse Chain Rule
  • 22. Integration by Substitution 1 - An Alternative to Reverse Chain Rule - quiz.html
  • 23. Integration By Substitution 2 u = f(x)
  • 24. Integration by Substitution 2 u = f(x) - quiz.html
  • 25. Integration By Substitution 3 x = f(u)
  • 26. Integration by Substitution 3 x = f(u) - quiz.html
  • 27. Integration By Substitution - Definite Integrals
  • 28. Integration by Substitution - Definite Integrals - quiz.html
  • 29. Integrating Arctan-Like Functions
  • 30. Problem Solving With Integration
  • 31. Problem Solving With Integration - quiz.html
  • 32. The Trapezium Rule
  • 33. The Trapezium Rule - quiz.html

  • 10. Vectors
  • 1. The Vector Equation of a Straight Line
  • 2. Parallel and Skew Vectors
  • 3. Converting Vector Form to Cartesian Form
  • 4. The Scalar (Dot) Product - Introduction
  • 5. Using the Scalar Product to Find Angles
  • 6. Using the Scalar Product to Find Shortest Distances and Closest Points

  • 11. Differential Equations
  • 1. Differential Equations - Separating Variables - Part 1
  • 2. Differential Equations - Separating Variables - Part 2
  • 3. Differential Equations - Separating Variables - quiz.html
  • 4. Forming Differential Equations
  • 5. Forming Differential Equations - quiz.html
  • 6. Modelling with Differential Equations - Part 1
  • 7. Modelling with Differential Equations - Part 2
  • 8. Modelling with Differential Equations - quiz.html

  • 12. Complex Numbers
  • 1. Complex Numbers - Introduction
  • 2. Addition, Subtraction and Multiplication of Complex Numbers
  • 3. Division of Complex Numbers
  • 4. Square Roots of Complex Numbers
  • 5. Complex Roots of Quadratic Equations
  • 6. Complex Roots of Cubic and Quartic Equations
  • 7. The Argand Diagram
  • 8. Modulus and Argument
  • 9. Modulus-Argument Polar Form of a Complex Number
  • 10. Exponential Form of a Complex Number
  • 11. (Optional!) Explanation of Why the Exponential Form Works
  • 12. Multiplying and Dividing Numbers in Modulus-Argument Exponential Form - Part 1
  • 13. Multiplying and Dividing Numbers in Modulus-Argument Exponential Form - Part 2
  • 14. Multiplying and Dividing Numbers in Modulus-Argument Exponential Form - Part 3
  • 15. Eulers Identity
  • 16. Complex Loci - Circles
  • 17. Complex Loci - Perpendicular Bisectors
  • 18. Complex Loci - Arguments
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