## Exam-Ready Series: Further Pure Mathematics 1 Course

A course designed to help you master important concepts and pass your exams once and for all!

• ### Video Tutorials

For each syllabus topic, you will get a series of videos where the core concepts are well-explained with relevant worked examples to give you a deeper understanding

• ### Exam-Style Questions

Learn how to answer typical exam questions with confidence. In this course, you will be exposed to worked example videos which demonstrate how to answer exam questions.

• ### Worksheets

With this course, you will build up a strong grasp of A Level Further Pure Mathematics concepts. You child will learn all the key concepts through prerecorded tutorial videos. Through this course you will also receive ample practice through worksheets to master all the concepts. The difficulty level for this course is moderate since I use simple explanations to explain tough concepts. This course is only suitable for serious learners who want to see serious results!

• Key concepts of each topic explained

• How to handle common exam questions

• High-quality questions to ensure sufficient practice

## Course curriculum

1. Introduction to Roots of Polynomial Equations

3. Quadratic: Forming new equations 1

4. Quadratic - Forming new equations 2

5. Quadratic: Symmetric functions of the roots

6. Worksheet 1

7. Roots of Cubic polynomial equations

8. Algebraic Manipulation with Cubic polynomial equations

9. Cubic Algebraic Manipulation (Worked Examples)

10. Forming new Cubic polynomial equations by substitution

11. Obtaining sum of cubes formula from equation

12. Solving Problems Involving Matrices

13. Roots of Quartic polynomial equations

14. Forming new Quartic polynomial equations by substitution

15. Recurrence relations of the roots

16. Worksheet 2

17. Worksheet 3

1. Introduction

2. How to find the asymptotes of a rational graph

3. Determining the behaviour of a rational graph about the asymptotes

4. Sketching modulus graphs

5. Sketching modulus graphs (Worked example)

6. Oblique asymptotes 1

7. Oblique asymptotes 1 (worked example)

8. Oblique asymptotes 2

9. Oblique asymptotes 2 (worked example)

10. Oblique asymptotes and Modulus graphs (worked example)

11. The graph y = f (|x|)

12. Worksheet 1

13. Worksheet 2

1. Introduction

2. Sum and General Term of a series (Worked Example 1)

3. Sum and General Term of a series (Worked Example 2)

4. Standard Results

5. Standard Results Worked Example

6. Limits at Infinity

7. Limits at Infinity Worked Example

8. Method of differences

9. Differences Worked example 2

10. Differences Worked example 1

11. Differences Worked example 3

12. Differences Worked example 4

13. Worksheet 1

14. Worksheet 2

1. Introduction

2. Addition, Subtraction and Scalar Multiplication

3. Multiplication of Matrices

4. Multiplication of Matrices (worked examples)

5. Determinant and Inverse of a 2 x 2 Matrix

6. Determinant of a 3 x 3 Matrix

7. Inverse of a 3 x 3 Matrix

8. Singular Matrices

9. The product of a matrix and it’s inverse

10. Inverse of the product of two matrices

11. Transformations (Introduction)

12. Reflection

13. Rotation

14. Enlargement

15. Shear

16. Stretch

17. Successive transformations

18. Area Scale Factor

19. Invariant Points

20. Invariant Points (worked example)

21. Invariant lines

22. Worked Example 1

23. Worked Example 2

24. Worked Example 3

25. Worksheet 1

26. Worksheet 2

1. Introduction

2. Plotting points on a Polar graph

3. Converting between Polar and Cartesian coordinates

4. Converting equations from Cartesian to Polar form

5. Converting equations Polar to Cartesian form

6. Sketching Polar Graphs

7. Sketching Circles

8. Cardioid Graphs

9. Area enclosed by a Polar graph

10. Cardioid Graphs (worked example)

11. Finding the area enclosed by two Polar Graphs

12. Sketching Polar graphs for any given equation

13. Greatest distance of a point from the pole

14. Greatest distance of a point from the pole (worked example)

15. The point furthest from the initial line

16. The point furthest from the vertical line

17. Worksheet 1

18. Worksheet 2

1. Equation of plane 1

2. Vector Product

3. Equation of plane 2

4. Equation of plane (worked examples)

5. A line parallel to a plane

6. Distance of a plane from the origin

7. Distance from a point to a plane 1

8. Distance from a point to a plane 2

9. Perpendicular distance from a point to a line

10. Worked Example 1...

11. Shortest distance between two skew lines

12. Angle between a line and a plane

13. Worked Example 2...

14. Angle between two planes

15. Worked Example 3....

16. Worked Example 4

17. Worked Example 5

18. Worksheet 1

19. Worksheet 2

• \$64.00
• 126 lessons
• 15.5 hours of video content

## Instructor

### Walter Chatyoka

#### Maths Teacher

With over a decade of experience teaching High School Maths and Science , I have grown to become a very effective and versatile teacher. I'm very passionate about teaching Maths and I have managed to produce excellent results for my students.

## Life-time access

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