H2 Math (JC2) Intensive Revision 2024 - PURE MATH

This is a thorough and in-depth revision of how we should be sketching and analyzing features of graphs, such as their asymptotes and stationary points in order to score well in exams that involves not simply graphs of rational expressions but also many other non-standard graphs during exams.

In this revision, we will not just revisit but also broaden our perspective and exposure to different variants of questions for the transformation of graphs related to translation, scaling and reflection, and we will work on the proper techniques that some students may not be applying correctly. This will enable them to sketch the transformed graph of y=1/f(x) way more effectively.

We look at Functions in detail, with special emphasis on the theoretical framework of Inverse and Composite Functions. By establishing a firm foundation of the theoretical underpinnings of this topic, we will improve our speed and accuracy in solving Functions questions in exams.

In this revision, we discuss the finer points of Inequalities to strengthen our algebraic analysis and also how to solve them graphically. We work on how to accurately tackle problems involving the Modulus Functions, which is crucial but often left out in students' revisions.

By identifying and re-mastering the most critical concepts in Vectors, we will learn how to handle Vectors questions with maximum speed and precision.

This is a variant of Vectors questions that is independent of Vectors being expressed in column form. By working alongside the tutor in an intensive practice revision session, students will get the familarity needed to perform for such questions in exams.

In this revision, students will get to learn how to stick to simple rules and processes even when encountering complicated Complex Numbers problems.

By learning how to change the perspective in Complex Numbers represented on an Argand diagram, students will learn how to solve challenging questions in a simplified way.

This revision aims to build your confidence in attempting APGP questions, as it is not just the formulas but also practicing and paying attention to improvisation for the real-life situation that will help scoring in exams.

Students will learn to go beyond simply the structure involved in the Method of Difference (MOD), and how we can consistently ace Summation questions.

In this revision, we shed light on how we can gain an advantage when performing techniques of Differentiation, and the right usage of the techniques will help solving questions related to Tangents & Normals, Rate of Change and Maximum/Minimum way more effectively in exams.

It is necessary to go beyond differentiation techniques and formulas in order to effectively solve problems involving the Maclaurin's Series. Students will learn to do so in this revision session.

This revision aims to focus on the application of Integration to find Areas & Volumes, and by separating it from the Techniques of Integration, students will gain the right perspective in analyzing the geometrical conditions in order for the correct definite integrals to be applied.

This revision is divided into two parts - Solving differential equations and modeling real-life situations as differential equations. This is a thorough discussion and practice revision session aiming to help students score consistently in exams.

On top of topical revision, it is essential to acquire skills and techniques to tackle a full exam paper. As such skills and techniques will be different from a series of topical revision, being able to pick them up is how we can truly score during exam time.