CIE International A-Level Maths: Pure Mathematics 1

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Woody Lewenstein

18:03:06

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1. Introduction

1. Introduction.mp4

01:34

2. Quadratics

1. Factorising to Solve a Quadratic.mp4

10:53

2. Factorising to Solve a Quadratic - Quiz.html

3. The Quadratic Formula.mp4

04:23

4. The Quadratic Formula - Quiz.html

5. Calculator Use to Solve Quadratics.mp4

05:26

6. Calculator Use to Solve Quadratics - Quiz.html

7. Completing the Square to Solve Quadratics.mp4

10:20

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

9. Completing the Square to Find the Turning Point of a Quadratic - Part 1.mp4

14:55

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.mp4

05:49

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

13. Quadratic Graphs - Part 1.mp4

10:28

14. Quadratic Graphs - Part 2.mp4

03:55

15. Quadratic Graphs - Quiz.html

16. Proof of the Quadratic Formula.mp4

05:35

17. The Discriminant - Introduction.mp4

06:41

18. The Discriminant - Introduction - Quiz.html

19. Applications of the Discriminant.mp4

06:12

20. Applications of the Discriminant - Quiz.html

21. Quadratic Simultaneous Equations - Part 1.mp4

08:35

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

23. Quadratic Simultaneous Equations - Part 2.mp4

09:12

24. Linear Inequalities and Set Notation.mp4

06:03

25. Linear Inequalities and Set Notation - Quiz.html

26. Quadratic Inequalities - Part 1.mp4

07:38

27. Quadratic Inequalities - Part 1 - Quiz.html

28. Quadratic Inequalities - Part 2.mp4

09:28

29. Quadratic Inequalities - Part 2 - Quiz.html

30. Quadratic Inequalities - Part 3.mp4

12:18

31. Quadratic Inequalities - Part 3 - Quiz.html

32. Disguised Quadratics - Part 1.mp4

08:53

33. Disguised Quadratics - Part 1 - Quiz.html

34. Disguised Quadratics - Part 2.mp4

07:26

35. Disguised Quadratics - Part 2 - Quiz.html

36. Modelling with Quadratics - Part 1.mp4

10:26

37. Modelling with Quadratics - Part 2.mp4

07:26

38. Modelling with Quadratics - Quiz.html

39.1 01. Quadratics.pdf

39. Quadratics - Past Paper Questions Pack.html

3. Functions

1. Mappings.mp4

12:35

2. Mappings - Quiz.html

3. Domain and Range.mp4

15:56

4. Domain and Range - Quiz.html

5. Composite Functions.mp4

07:08

6. Composite Functions - Quiz.html

7. Inverse Functions.mp4

16:37

8. Inverse Functions - Quiz.html

9. Translations - Part 1.mp4

05:19

10. Translations - Part 1 - Quiz.html

11. Translations - Part 2.mp4

06:54

12. Translations - Part 2 - Quiz.html

13. Stretches - Part 1.mp4

05:46

14. Stretches - Part 1 - Quiz.html

15. Stretches - Part 2.mp4

07:51

16. Stretches - Part 2 - Quiz.html

17. Reflections.mp4

03:19

18. Reflections - Quiz.html

19. The Prison Method.mp4

06:00

20. Applications of Transformations.mp4

08:28

21.1 02. Functions.pdf

21. Functions - Past Paper Question Pack.html

4. Coordinate Geometry - Straight Lines

1. y = mx + c.mp4

03:52

2. Gradients.mp4

05:40

3. Gradients - Quiz.html

4. The Equation of a Straight Line.mp4

11:47

5. The Equation of a Straight Line.html

6. Straight Line Problem Solving.mp4

06:42

7. Straight Line Problem Solving - Quiz.html

8. Parallel Lines.mp4

05:54

9. Parallel Lines - Quiz.html

10. Perpendicular Lines.mp4

07:40

11. Perpendicular Lines - Quiz.html

12. Perpendicular Bisectors.mp4

04:16

13. Perpendicular Bisectors - Quiz.html

14. Length Problems.mp4

11:07

15. Length Problems - Quiz.html

16. Area Problems.mp4

12:40

17. Area Problems - Quiz.html

18. Modelling with Straight Lines.mp4

09:38

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.mp4

07:08

2. Circles - Introduction - Quiz.html

3. The Equation of a Circle.mp4

06:20

4. The Equation of a Circle - quiz.html

5. Calculating the Centre and Radius of a Circle.mp4

09:26

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

7. Problem Solving with Circles.mp4

08:37

8. Problem Solving with Circles - quiz.html

9. Intersecting Lines and Circles - Part 1.mp4

10:02

10. Intersecting Lines and Circles - Part 2.mp4

10:35

11. Intersecting Lines and Circles - quiz.html

12. Tangents to Circles.mp4

08:11

13. Tangents to Circles Examples - Part 1.mp4

10:09

14. Tangents to Circles Examples - Part 2.mp4

10:28

15. Tangents to Circles - quiz.html

16. Circles and Triangles - Part 1.mp4

07:11

17. Circles and Triangles - Part 2.mp4

06:19

18. Circles and Triangles - Part 3.mp4

04:25

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.mp4

08:49

2. Sine Rule - Lengths - quiz.html

3. Sine Rule for Angles.mp4

15:48

4. Sine Rule - Angles - quiz.html

5. Cosine Rule for Lengths.mp4

08:41

6. Cosine Rule - Lengths - quiz.html

7. Cosine Rule for Angles.mp4

03:10

8. Cosine Rule - Angles - quiz.html

9. Cosine Rule with Algebra.mp4

06:56

10. Cosine Rule With Algebra - Quiz.html

11. The Area of a Triangle.mp4

05:18

12. Area of a Triangle - quiz.html

13. The Sine Graph.mp4

05:24

14. The Cosine Graph.mp4

04:51

15. The Tan Graph.mp4

09:27

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

17. Transformations of Trig Functions.mp4

07:23

18. Transformations of Trig Functions - quiz.html

19. Applications of Transformations.mp4

07:18

7. Trigonometry - Equations and Identities

1. Multiple Solutions to Sine Equations.mp4

09:09

2. Multiple Solutions to Sine Equations - quiz.html

3. Multiple Solutions to Cosine Equations.mp4

06:25

4. Multiple Solutions to Cosine Equations - quiz.html

5. Multiple Solutions to Tan Equations.mp4

03:41

6. Multiple Solutions to Tan Equations - quiz.html

7. Trigonometric Identities.mp4

07:30

8. Solving Trigonometric Equations with the Tan Identity.mp4

07:55

9. Solving Equations Using the Tan Identity.html

10. Solving Quadratic Trig Equations - Part 1.mp4

09:22

11. Solving Quadratic Trig Equations - Part 2.mp4

11:35

12. Solving Quadratic Trig Equations - quiz.html

13. Further Trig Equations - Part 1.mp4

08:23

14. Further Trig Equations - Part 2.mp4

07:29

15. Further Trig Equations - quiz.html

16. Proving Trig Identities - Part 1.mp4

09:12

17. Proving Trig Identities - Part 2.mp4

03:54

18.1 05. Trigonometry.pdf

18. Trigonometry - Past Paper Question Pack.html

8. Circular Measure

1. Radians - Introduction.mp4

05:31

2. Arc Length.mp4

04:25

3. Sector Area.mp4

17:47

4. Solving Trig Equations in Radians.mp4

13:41

5.1 06. Circular Measure.pdf

5. Circular Measure - Past Paper Question Pack.html

9. Series

1. The Choose Function.mp4

12:51

2. The Choose Function - Intro - quiz.html

3. Choose Function Problem Solving.mp4

05:01

4. Binomial Expansion - Part 1.mp4

10:59

5. Binomial Expansion - Part 2.mp4

06:55

6. Binomial Expansion - quiz.html

7. Binomial Expansion - Ascending Powers of x.mp4

07:51

8. Ascending Powers of x - quiz.html

9. Binomial Problem Solving.mp4

09:37

10. Binomial Problem Solving - quiz.html

11. Binomial Estimation.mp4

14:34

12. Binomial Estimation - quiz.html

13. Arithmetic Sequences.mp4

08:35

14. Arithmetic Series.mp4

11:53

15. Geometric Sequences - Part 1.mp4

08:42

16. Geometric Sequences - Part 2.mp4

07:57

17. Geometric Series.mp4

10:07

18. Sums to Infinity.mp4

07:28

19. Recurrence Relations.mp4

14:11

20.1 07. Series.pdf

20. Series - Past Paper Question Pack.html

10. Differentiation

1. Gradients of Curves.mp4

11:43

2. Differentiation from First Principles at a Point.mp4

09:17

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

4. Differentiation from First Principles in General.mp4

10:57

5. The x^n Rule.mp4

05:35

6. The x^n Rule - quiz.html

7. Differentiating Basic Polynomials.mp4

04:25

8. Differentiating Basic Polynomials - quiz.html

9. Differentiating Negative Powers.mp4

06:21

10. Differentiating Negative Powers - quiz.html

11. Differentiating Fractional Powers.mp4

06:15

12. Differentiating Fractional Powers - quiz.html

13. Differentiating Mixed Functions.mp4

06:47

14. Differentiating Mixed Functions - quiz.html

15. Using Gradient Functions.mp4

08:00

16. Using Gradient Functions - quiz.html

17. Tangents and Normals - Part 1.mp4

12:57

18. Tangents and Normals - Part 2.mp4

16:31

19. Tangents and Normals - quiz.html

20. Increasing and Decreasing Functions.mp4

07:08

21. Increasing and Decreasing Functions - quiz.html

22. Stationary Points.mp4

10:03

23. Stationary Points - quiz.html

24. The Chain Rule.mp4

08:38

25. Second Derivatives.mp4

13:29

26. Second Derivatives - quiz.html

27. Sketching Gradient Functions.mp4

05:05

28. Optimisation - Part 1.mp4

04:50

29. Optimisation - Part 2.mp4

13:16

30. Connected Rates of Change - Part 1.mp4

13:39

31. Connected Rates of Change - Part 2.mp4

06:23

32. Calculator Use in Differentiation.mp4

03:39

33.1 08. Differentiation.pdf

33. Differentiation - Past Paper Question Pack.html

11. Integration

1. Integration Introduction.mp4

11:14

2. Integration Introduction - quiz.html

3. Finding Functions.mp4

08:30

4. Finding Functions - quiz.html

5. Integration to Find Areas.mp4

10:07

6. Integration to Find Areas - quiz.html

7. Area Under the x-Axis.mp4

08:26

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

9. Area Between Functions.mp4

12:48

10. Areas Between Functions - quiz.html

11. Integrating (ax+b)^n.mp4

08:34

12. Integrating (ax+b)^n - Areas.mp4

03:15

13. Integration Problem Solving - Part 1.mp4

14:22

14. Integration Problem Solving - Part 2.mp4

07:50

15. Integration Problem Solving - Part 3.mp4

05:09

16. Integration Problem Solving - quiz.html

17. Calculator Use in Integration.mp4

02:45

18. Why Integration Gives Area.mp4

11:47

19.1 09. Integration.pdf

19. Integration - Past Paper Question Pack.html

Description

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

What You'll Learn?

Quadratic Equations
Functions
Coordinate Geometry
Circular Motion
Trigonometry
Series
Differentiation
Integration

Who is this for?

People studying the Cambridge International A-Level Mathematics AS or A-Level

People who want to study an intermediate course in pure mathematics

What You Need to Know?

A sound understanding of GCSE/IGCSE level maths or equivalent.

No prior knowledge of A-level maths required.

More details

Description
CIE International A-Level Maths is a course for anyone studying the Cambridge International A-Level Maths:
This course covers all the pure content in Paper 1 (Pure Mathematics 1) of the Cambridge International A-Level Maths Course, covered in the first year of study. It is also a great introduction to pure maths for anyone interested in getting started.

The main sections of the course are:
- Equations and Inequalities â€“ we will look at a wide range of different functions, including quadratic, linear and cubic functions.
- Quadratics - we look at quadratic functions, how to sketch and work with them, solve equations and inequalities and work with the discriminant.
- Functions - we learn about domain, range, inverse and composite functions, as well as graph transformations.
- Straight Line Graphs â€“ we take this topic, familiar from GCSE, and push it to the next level, introducing new ways of using straight line graphs.
- Circles â€“ we learn how to represent circles in the coordinate plane, find tangents to circles and solve intersections with lines.
- Trigonometry â€“ in the two trigonometry chapters we look at how to use trigonometry to solve triangle problems, but also solve trigonometric equations, sketch tri graphs, and prove trigonometric identities.
- Circular Measure - we learn how to work with radians to calculate sector areas, arc lengths and solve trigonometric equations.
- Graphs â€“ we will learn how to sketch and work with graphs, including higher order polynomials, as well as graph transformations.
- Series - we learn about binomial expansion and the choose function, as well as how to work with arithmetic and geometric series.
- Differentiation â€“ in this huge chapter we introduce one of the most powerful and exciting ideas in mathematics. We look at gradients of curves, tangents, stationary points and optimisation problems.
- Integration â€“ here we look at the other side of calculus, and learn how to use integration to find areas under curves.
- Exponentials and Logarithms â€“ we learn about the exponential function, logarithms, the natural log, as well as how to use these ideas to model a range of real-world scenarios.

Please note: This course is intended for people studying the Cambridge International A-Level Maths Syllabus, and not the UK syllabus (covered by Edexcel, OCR, AQA and MEI exam boards). If you are looking for these, check out my other courses on these!

What you get in this course:
Videos: Watch as I explain each topic, introducing all the key ideas, and then go through a range of different examples, covering all the important ideas in each. In these videos I also point out the most common misconceptions and errors so that you can avoid them.
Quizzes: Each sub-section is followed by a short quiz for you to test your understanding of the content just covered. Most of the questions in the quizzes are taken from real A-Level past papers. Feel free to ask for help if you get stuck on these!
Worksheets: At the end of each chapter I have made a collection of different questions taken from real A-Level past papers for you to put it all together and try for yourself. At the bottom of each worksheet is a full mark-scheme so you can see how you have done.

This course comes with:
Â· A printable Udemy certificate of completion.
Â· Support in the Q&A section - ask me if you get stuck!

I really hope you enjoy this course!
Woody
Who this course is for:
People studying the Cambridge International A-Level Mathematics AS or A-Level
People who want to study an intermediate course in pure mathematics

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After finishing my studies at Oxford University I worked for a year in India before moving to London, which is where I have been ever since.I have taught mathematics in some of the best performing schools in the country for over 10 years, where I have taught all levels of school maths, including GCSE, A-Level, Further Maths and Oxbridge entrance paper preparation. I also have 1000's of hours of tutoring experience working one-to-one with students on A-level maths and further maths.Alongside this I have worked with businesses to train their staff in mathematical skills, such as statistics, data analysis and mathematical software packages.Away from my work I love music and long-distance cycling, and recently cycled from London to Istanbul.

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