CIE International A-Level Maths: Pure Mathematics 1

سرفصل های دوره

Master the content from Paper 1 (Pure Mathematics 1) of Cambridge International A-Level Maths

1. Introduction

1. Introduction

2. Quadratics

1. Factorising to Solve a Quadratic

2. Factorising to Solve a Quadratic - Quiz.html

3. The Quadratic Formula

4. The Quadratic Formula - Quiz.html

5. Calculator Use to Solve Quadratics

6. Calculator Use to Solve Quadratics - Quiz.html

7. Completing the Square to Solve Quadratics

8. Completing the Square to Solve Quadratics - Quiz.html

9. Completing the Square to Find the Turning Point of a Quadratic - Part 1

10. Completing the Square to Find the Turning Point of a Quadratic - Part 1 - Quiz.html

11. Completing the Square to Find the Turning Point of a Quadratic - Part 2

12. Completing the Square to Find the Turning Point of a Quadratic - Part 2 - Quiz.html

13. Quadratic Graphs - Part 1

14. Quadratic Graphs - Part 2

15. Quadratic Graphs - Quiz.html

16. Proof of the Quadratic Formula

17. The Discriminant - Introduction

18. The Discriminant - Introduction - Quiz.html

19. Applications of the Discriminant

20. Applications of the Discriminant - Quiz.html

21. Quadratic Simultaneous Equations - Part 1

22. Quadratic Simultaneous Equations - Part 1 - Quiz.html

23. Quadratic Simultaneous Equations - Part 2

24. Linear Inequalities and Set Notation

25. Linear Inequalities and Set Notation - Quiz.html

26. Quadratic Inequalities - Part 1

27. Quadratic Inequalities - Part 1 - Quiz.html

28. Quadratic Inequalities - Part 2

29. Quadratic Inequalities - Part 2 - Quiz.html

30. Quadratic Inequalities - Part 3

31. Quadratic Inequalities - Part 3 - Quiz.html

32. Disguised Quadratics - Part 1

33. Disguised Quadratics - Part 1 - Quiz.html

34. Disguised Quadratics - Part 2

35. Disguised Quadratics - Part 2 - Quiz.html

36. Modelling with Quadratics - Part 1

37. Modelling with Quadratics - Part 2

38. Modelling with Quadratics - Quiz.html

39.1 01. Quadratics.pdf

39. Quadratics - Past Paper Questions Pack.html

3. Functions

1. Mappings

2. Mappings - Quiz.html

3. Domain and Range

4. Domain and Range - Quiz.html

5. Composite Functions

6. Composite Functions - Quiz.html

7. Inverse Functions

8. Inverse Functions - Quiz.html

9. Translations - Part 1

10. Translations - Part 1 - Quiz.html

11. Translations - Part 2

12. Translations - Part 2 - Quiz.html

13. Stretches - Part 1

14. Stretches - Part 1 - Quiz.html

15. Stretches - Part 2

16. Stretches - Part 2 - Quiz.html

17. Reflections

18. Reflections - Quiz.html

19. The Prison Method

20. Applications of Transformations

21.1 02. Functions.pdf

21. Functions - Past Paper Question Pack.html

4. Coordinate Geometry - Straight Lines

1. y = mx + c

2. Gradients

3. Gradients - Quiz.html

4. The Equation of a Straight Line

5. The Equation of a Straight Line.html

6. Straight Line Problem Solving

7. Straight Line Problem Solving - Quiz.html

8. Parallel Lines

9. Parallel Lines - Quiz.html

10. Perpendicular Lines

11. Perpendicular Lines - Quiz.html

12. Perpendicular Bisectors

13. Perpendicular Bisectors - Quiz.html

14. Length Problems

15. Length Problems - Quiz.html

16. Area Problems

17. Area Problems - Quiz.html

18. Modelling with Straight Lines

19. Modelling with Straight Lines - Quiz.html

20.1 03. Straight Lines.pdf

20. Straight Lines - Past Paper Question Pack.html

5. Coordinate Geometry - Circles

1. Circles - Introduction

2. Circles - Introduction - Quiz.html

3. The Equation of a Circle

4. The Equation of a Circle - quiz.html

5. Calculating the Centre and Radius of a Circle

6. Calculating the Centre and Radius of a Circle - quiz.html

7. Problem Solving with Circles

8. Problem Solving with Circles - quiz.html

9. Intersecting Lines and Circles - Part 1

10. Intersecting Lines and Circles - Part 2

11. Intersecting Lines and Circles - quiz.html

12. Tangents to Circles

13. Tangents to Circles Examples - Part 1

14. Tangents to Circles Examples - Part 2

15. Tangents to Circles - quiz.html

16. Circles and Triangles - Part 1

17. Circles and Triangles - Part 2

18. Circles and Triangles - Part 3

19. Circles and Triangles - quiz.html

20.1 04. Circles.pdf

20. Circles - Past Paper Question Pack.html

6. Trigonometry - Triangles and Graphs

1. Sine Rule for Lengths

2. Sine Rule - Lengths - quiz.html

3. Sine Rule for Angles

4. Sine Rule - Angles - quiz.html

5. Cosine Rule for Lengths

6. Cosine Rule - Lengths - quiz.html

7. Cosine Rule for Angles

8. Cosine Rule - Angles - quiz.html

9. Cosine Rule with Algebra

10. Cosine Rule With Algebra - Quiz.html

11. The Area of a Triangle

12. Area of a Triangle - quiz.html

13. The Sine Graph

14. The Cosine Graph

15. The Tan Graph

16. Sine, Cosine and Tan Graphs - quiz.html

17. Transformations of Trig Functions

18. Transformations of Trig Functions - quiz.html

19. Applications of Transformations

7. Trigonometry - Equations and Identities

1. Multiple Solutions to Sine Equations

2. Multiple Solutions to Sine Equations - quiz.html

3. Multiple Solutions to Cosine Equations

4. Multiple Solutions to Cosine Equations - quiz.html

5. Multiple Solutions to Tan Equations

6. Multiple Solutions to Tan Equations - quiz.html

7. Trigonometric Identities

8. Solving Trigonometric Equations with the Tan Identity

9. Solving Equations Using the Tan Identity.html

10. Solving Quadratic Trig Equations - Part 1

11. Solving Quadratic Trig Equations - Part 2

12. Solving Quadratic Trig Equations - quiz.html

13. Further Trig Equations - Part 1

14. Further Trig Equations - Part 2

15. Further Trig Equations - quiz.html

16. Proving Trig Identities - Part 1

17. Proving Trig Identities - Part 2

18.1 05. Trigonometry.pdf

18. Trigonometry - Past Paper Question Pack.html

8. Circular Measure

1. Radians - Introduction

2. Arc Length

3. Sector Area

4. Solving Trig Equations in Radians

5.1 06. Circular Measure.pdf

5. Circular Measure - Past Paper Question Pack.html

9. Series

1. The Choose Function

2. The Choose Function - Intro - quiz.html

3. Choose Function Problem Solving

4. Binomial Expansion - Part 1

5. Binomial Expansion - Part 2

6. Binomial Expansion - quiz.html

7. Binomial Expansion - Ascending Powers of x

8. Ascending Powers of x - quiz.html

9. Binomial Problem Solving

10. Binomial Problem Solving - quiz.html

11. Binomial Estimation

12. Binomial Estimation - quiz.html

13. Arithmetic Sequences

14. Arithmetic Series

15. Geometric Sequences - Part 1

16. Geometric Sequences - Part 2

17. Geometric Series

18. Sums to Infinity

19. Recurrence Relations

20.1 07. Series.pdf

20. Series - Past Paper Question Pack.html

10. Differentiation

1. Gradients of Curves

2. Differentiation from First Principles at a Point

3. First Principles Differentiation at a Point - quiz.html

4. Differentiation from First Principles in General

5. The x^n Rule

6. The x^n Rule - quiz.html

7. Differentiating Basic Polynomials

8. Differentiating Basic Polynomials - quiz.html

9. Differentiating Negative Powers

10. Differentiating Negative Powers - quiz.html

11. Differentiating Fractional Powers

12. Differentiating Fractional Powers - quiz.html

13. Differentiating Mixed Functions

14. Differentiating Mixed Functions - quiz.html

15. Using Gradient Functions

16. Using Gradient Functions - quiz.html

17. Tangents and Normals - Part 1

18. Tangents and Normals - Part 2

19. Tangents and Normals - quiz.html

20. Increasing and Decreasing Functions

21. Increasing and Decreasing Functions - quiz.html

22. Stationary Points

23. Stationary Points - quiz.html

24. The Chain Rule

25. Second Derivatives

26. Second Derivatives - quiz.html

27. Sketching Gradient Functions

28. Optimisation - Part 1

29. Optimisation - Part 2

30. Connected Rates of Change - Part 1

31. Connected Rates of Change - Part 2

32. Calculator Use in Differentiation

33.1 08. Differentiation.pdf

33. Differentiation - Past Paper Question Pack.html

11. Integration

1. Integration Introduction

2. Integration Introduction - quiz.html

3. Finding Functions

4. Finding Functions - quiz.html

5. Integration to Find Areas

6. Integration to Find Areas - quiz.html

7. Area Under the x-Axis

8. Areas Under the x-Axis - quiz.html

9. Area Between Functions

10. Areas Between Functions - quiz.html

11. Integrating (ax+b)^n

12. Integrating (ax+b)^n - Areas

13. Integration Problem Solving - Part 1

14. Integration Problem Solving - Part 2

15. Integration Problem Solving - Part 3

16. Integration Problem Solving - quiz.html

17. Calculator Use in Integration

18. Why Integration Gives Area

19.1 09. Integration.pdf

19. Integration - Past Paper Question Pack.html

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