[J1] Lesson 27 (Thermodynamics+ Series Expansion +Introduction to Organic Chemistry)

[J1 Physics PMCians] Thermal Physics – What’s Cooking Here?


What we did in 2 hours:

We have begun our journey in the realm of Temperature & Thermal Physics. Here’s what we did in 2-hours!

1) We reviewed how the celsius scale is related to the kelvin scale.

2) We explored the usefulness of the equation pV = nRT, and also its cousin, pV=NkT, especially in graph sketching and calculations.

3) We ended the lesson by discussing the idea of Internal Energy, U, of a gas, which is the sum of its kinetic and potential energies of all the molecules in the gas.

Special Mention:

This coming week, we will complete the topic of Thermal Physics, by introducing you to the First Law of Thermodynamics! 

It’s a powerful principle, based on the Conservation of Energy.

So, come ready and experience how a large topic boils down to a few simple but powerful principles!


Stay happy and rested, in the midst of your busy schedule!! 


From you friendly tutors,

Mr Sim & Mr Kwok 🙂

[J1 Maths PMCians] 


What we did in 2 hours:

We started on Series Expansion, picking up two ways of approximating a given function as a polynomial – Maclaurin Series and Binomial Series. We picked up a set of steps to apply these and also looked at the conditions within which these were valid.


Additionally, we used the Standard Series as found in MF26 and further approximated these in cases where the angle was sufficiently small. More importantly, we reviewed our Differentiation Techniques and looked at ways to make the otherwise tedious Maclaurin Series process a lot smoother, and also recognised cases where we needed to apply Binomial Series on the denominator of a rational function.


What you take home:

The Daily Dose worked solutions are linked here


Special Mention:

We will carry on with Series Expansion, covering integrated and application questions. Do warm up!


See You and Stay Healthy!

Your Friendly Math Tutors

[J1 Chemistry PMCians] 


What we did in 2 hours:

This week, we began Introduction to Organic Chemistry, which looks at hybridisation of carbon and structural isomerism. They are certainly not introductory/easy topics!

What you take home:

The solutions to Everything you need to know series is found here:


Special Mention:

Next lesson, let us complete the chapter by looking at another type of isomerism – stereoisomerism.


See you online/onsite next week!

Mr Leong


1) 2 Subjects Combos – 5% discount for both subjects

2) 3 Subjects Combos – 10% discount for all 3 subjects