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CIE Further Mathematics | Further Pure Math 1 | Preperation

SAT Score Range

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20 sessions

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🔥 4 spots left!

Enrollment for this series has closed.

About

This series is specifically designed for Anurag G, at his request!

As the title suggests, we aim to complete the CIE Further Mathematics Paper 1 syllabus
 by September 15th. We will meet Sunday from 17:00 to 19:00 and Wednesday from 14:45 to 15:45 each week. On Sundays we will cover a new chapter/concept and on Wednesday's we will go over problems assigned on Sunday.

Main topics include polynomials, rational functions, series, matrices, polar coordinates, vectors in three dimensions and proof by induction.

This is being hosted by a student who has accelerated the Further Math A-Level course, taking all four exams one year earlier and gotten an A*!

Tutored by

Siddharth K 🇮🇳

Certified in 13 topics

View Profile

Hi! I'm a high school student in Maharashtra, India. I like exploring different areas of math (Algebraic Number Theory, Algebraic Geometry & Representation Theory) and cycling in my free time! I'm really excited to learn with others here at Schoolhouse!

Sessions

✋ ATTENDANCE POLICY

Please let me know well in advance if you have to miss any session!

SESSION 1

22

Jun

SESSION 1

Other Topics

Other Topics

Sun 11:30 AM - 1:30 PM UTCJun 22, 11:30 AM - 1:30 PM UTC

This is our first session! We will begin with the first chapter: Roots of polynomial equations. We will start of with the relationships between the roots of a qaudratic equations and it coefficients. Then, we will extend this to the cubic and quartic case, giving a hint at the general patterns for a nn

th degree polynomial. We will leverage this to compute sums of roots, such as the sum of the squares of the roots of a quadratic, cubic and quartic equation, including the use of recursive relationships to evaluate sums of cubes of the roots.

We wrap out this session by considering special subsititions into these polynomials! Session will be highly interactive with many examples!
SESSION 2

25

Jun

SESSION 2

Other Topics

Other Topics

Wed 9:15 AM - 10:15 AM UTCJun 25, 9:15 AM - 10:15 AM UTC

We will go over the excerises from the first chapter, addressing any questions that you may have.
SESSION 3

29

Jun

SESSION 3

Other Topics

Other Topics

Sun 11:30 AM - 1:00 PM UTCJun 29, 11:30 AM - 1:00 PM UTC

We will complete chapter 1 and progress to chapter 3: Summation of series.
SESSION 4

2

Jul

SESSION 4

Series

Series

Wed 9:00 AM - 9:45 AM UTCJul 2, 9:00 AM - 9:45 AM UTC

We will complete chapter 3: summation of series, going through past paper questions and exercises from the textbook.
SESSION 5

6

Jul

SESSION 5

Series

Series

Sun 11:30 AM - 1:00 PM UTCJul 6, 11:30 AM - 1:00 PM UTC

We will go through chapter 3: summation of series.
SESSION 6

9

Jul

SESSION 6

Other Topics

Other Topics

Wed 9:15 AM - 10:15 AM UTCJul 9, 9:15 AM - 10:15 AM UTC

We will start with Chapter 4: Matrices 1.
SESSION 7

16

Jul

SESSION 7

Other Topics

Other Topics

Wed 9:15 AM - 10:15 AM UTCJul 16, 9:15 AM - 10:15 AM UTC

We will continue our work from Matrices.
SESSION 8

20

Jul

SESSION 8

Other Topics

Other Topics

Sun 11:30 AM - 12:45 PM UTCJul 20, 11:30 AM - 12:45 PM UTC

We will continue our work from Matrices.
SESSION 9

25

Jul

SESSION 9

Other Topics

Other Topics

Fri 2:30 PM - 3:15 PM UTCJul 25, 2:30 PM - 3:15 PM UTC

We will continue our work from Matrices.
SESSION 10

3

Aug

SESSION 10

Other Topics

Other Topics

Sun 2:30 PM - 3:45 PM UTCAug 3, 2:30 PM - 3:45 PM UTC

We will continue our work from matrices. In particular, we will go over multiplication of matrices and calculating the determinant of a 3 by 3 matrix, as well as the geometric interpretation of these concepts. This lesson will include lots of practise!
SESSION 11

20

Aug

SESSION 11

Other Topics

Other Topics

Wed 10:00 AM - 11:00 AM UTCAug 20, 10:00 AM - 11:00 AM UTC

We will aim to finish off chapter 4.
SESSION 12

25

Aug

SESSION 12

Other Topics

Other Topics

Mon 10:00 AM - 11:00 AM UTCAug 25, 10:00 AM - 11:00 AM UTC

We will complete chapter 18: momentum.
SESSION 13

29

Aug

SESSION 13

Other Topics

Other Topics

Fri 2:30 PM - 3:30 PM UTCAug 29, 2:30 PM - 3:30 PM UTC

We aim to complete chapter 18.
SESSION 14

2

Sep

SESSION 14

Other Topics

Other Topics

Tue 2:30 PM - 3:30 PM UTCSep 2, 2:30 PM - 3:30 PM UTC

We will go over the problems from 18B and the end of chapter exercises for 18, addressing any questions that you may have, before proceeding to chapter 17: Linear motion under a variable force.
SESSION 15

5

Sep

SESSION 15

Other Topics

Other Topics

Fri 3:00 PM - 4:00 PM UTCSep 5, 3:00 PM - 4:00 PM UTC

We will aim to complete chapter 17: Linear Motion Under a Variable Force.
SESSION 16

10

Sep

SESSION 16

Other Topics

Other Topics

Wed 3:00 PM - 3:45 PM UTCSep 10, 3:00 PM - 3:45 PM UTC

We will aim to cover chapter 17 and begin with chapter 13.
SESSION 17

16

Sep

SESSION 17

Other Topics

Other Topics

Tue 3:00 PM - 4:00 PM UTCSep 16, 3:00 PM - 4:00 PM UTC

We will aim to cover chapter 17: Linear motion under a variable force, from the Further Mechanics syllabus. Then, we will procced to review all the integration techniques, such as integration by parts and integration by substitution, to get ready for chapter 5: Polar Coordinates from the Further Pure 1 syllabus.
SESSION 18

17

Sep

SESSION 18

Other Topics

Other Topics

Wed 3:00 PM - 4:00 PM UTCSep 17, 3:00 PM - 4:00 PM UTC

We will aim to cover chapter 17: Linear motion under a variable force, from the Further Mechanics syllabus. Then, we will procced to review all the integration techniques, such as integration by parts and integration by substitution, to get ready for chapter 5: Polar Coordinates from the Further Pure 1 syllabus.
SESSION 19

19

Sep

SESSION 19

Other Topics

Other Topics

Fri 3:00 PM - 4:00 PM UTCSep 19, 3:00 PM - 4:00 PM UTC

We will aim to start chapter 5.
SESSION 20

15

Oct

SESSION 20

Other Topics

Other Topics

Wed 3:00 PM - 4:00 PM UTCOct 15, 3:00 PM - 4:00 PM UTC

Placeholder session so that the series does not end.

Public Discussion

Please log in to see discussion on this series.

Jun 22 - Oct 15

17 weeks

45 - 120 mins

/ session

Next session on October 15, 2025