A-Level H2 Maths

Step-by-Step for Better Maths Results!

Finding number of terms, n in a geometric progression

In this question, we are given a sequence of terms and we are asked to find the number of terms, n in this geometric progression. I have showed how a student approached this question and got stuck in the last few steps.

Will you be doing this question in a similar way?

Will you be faced with the same problem too? Do you know how to move on?

Finding the nth term in GP

Hi, I'm Ai Ling Ong. I enjoy coaching students who have challenges with understanding and scoring in 'A' Level H2 Maths. I develop Math strategies, sometimes ridiculous ideas to help students in understanding abstract concepts the fast and memorable way. I write this blog to share with you the stuff I teach in my class, the common mistakes my students made, the 'way' to think, analyze... If you have found this blog post useful, please share it with your friends. I will really appreciate it! :)

Finding magnitude of vectors by cosine rule

The angle between vectors a and b is 60 and |a| = 2, |b| = 1. Show that |2a – b| = sqrt (13) and |2a + b| = sqrt (21). Do we have to use dot product? How do we find the magnitude of vector (2a + b)? I received this question from a student from Nanyang Junior College and would like to share this approach with all of you. I hope the diagram explains it clearly.

The angle between the vectors a and b is 60o and

Cover Up Rule for Partial Fractions

In MF15 and MF26, we are given the partial fractions decomposition for

  • Non-repeated linear factors
  • Repeated linear factors
  • Non-repeated quadratic factor

It is useful to work with partial fractions especially when we do integration.

I have given 3 examples on how and when we use cover up rule (CUR). It acts like a shortcut to comparing coefficients. However, please note when CUR works and when we have to stick to our old good method of comparing coefficients.

 

Cover up Rule 1

Cover up Rule 2

Cover up Rule 3

 

Integration Techniques Summary & Examples

(Suitable for 2016 JC2 H2 Maths – Subject Code: 9740)

Calculus is a major topic for both O-Level and A-Level Mathematics syllabus. It involves techniques and applications. Students must have good foundation in techniques to have an easier time for applications questions.

In this post, I would like to share with you on the Integration Techniques Summary & Examples. It provides an overview of the Integration Techniques you need to know. Integration by parts and by a given substitution will be written the the next posts.

Let me know if you have found the Summary & Examples format useful in the comments section. Your response is important to me as it helps me to decide if I continue sharing in this format or other methods which are more beneficial to you.

I look forward to receive your comments.

PS: 2016 JC2 H2 Maths Classes will start next week. If you want to learn H2 Maths in a simple and easy to understand manner, join us! It doesn’t matter how you have fared for JC1. It doesn’t matter which JC you are from. What matters is that you think you deserve to do much better in H2 Maths and you are willing to do whatever it takes to achieve your goal this year! Call us at 9828 7357.

Integration Techniques Summary & Examples

Integration Techniques Summary & Examples 2

 

 

H2 Further Mathematics for 2016/2017 JC Students (Subject code: 9649)

There is a slight revamp in the H2 Mathematics syllabus for 2016/2017 JC Students. On top of the (usual) H2 Mathematics (subject code: 9758), students who are mathematically inclined and want to specialise in Mathematics, Sciences or Engineering has another subject that they can consider: H2 Further Mathematics (subject code: 9649). 

According to SEAB, H2 Further Mathematics is to be offered with H2 Mathematics as a double mathematics course.

The syllabus for H2 Further Mathematics can be found at: http://www.seab.gov.sg/content/syllabus/alevel/2017Syllabus/9649_2017.pdf