Complete O Level & Additional Mathematics (4037) Refresher:

Master core Add Maths and O Level topics with clear explanations, problem-solving techniques, and exam-focused strategie

What you'll learn

Estimate the domain and range of functions, and identify how to determine the set of input and output values for different types of functions and relations.

Define the laws and applications of logarithms and exponents, and explain how to use them to simplify mathematical expressions and solve problems.

Identify types of variation (direct, inverse, combined) and manage related problems by applying appropriate formulas and proportional reasoning techniques.

Complete past paper questions covering Add Maths topics like differentiation, integration, vectors, sequences, and circular measure, from start to final solutio

Define the importance of differentiation and integration techniques in problem-solving and explain how to use them for curve analysis and area calculations.

Requirements

Basic understanding of algebraic operations (addition, subtraction, multiplication, and division of numbers and algebraic terms) Familiarity with basic geometry concepts like angles, triangles, and area A general knowledge of fractions, indices, and square roots Ability to solve simple linear and quadratic equations Comfortable using a scientific calculator for computations No prior knowledge of differentiation, integration, or advanced functions is required — everything essential will be taught from scratch in a clear, step-by-step way Suitable for O Level Mathematics students and Add Maths 4037 candidates preparing for exams or looking to revise core topics efficiently

Description

Are you preparing for your O Level or Cambridge Additional Mathematics (4037) exams? Or looking for a clear, structured revision course to strengthen your concepts before your next paper? This comprehensive refresher course is designed for students who want to revise key mathematical topics with confidence.This course covers all major topics from both O Level and Additional Mathematics syllabi. Every topic is explained clearly with examples, important tips, and practice problems, including complete solutions to selected Add Maths 4037 past paper questions.Whether you need a quick refresher, exam tips, or problem-solving techniques, this course will help you revise systematically and improve your performance.What You’ll Learn:Logarithm and Exponent LawsFunctions, Domains, Ranges, and RelationsComposite and Inverse FunctionsVectors: Addition, Multiplication, and Parallel VectorsProportion, Direct and Inverse Variation, and Combined VariationArithmetic and Geometric SequencesSolution of TrianglesCircular MeasureQuadratic FunctionsCoordinate GeometryDifferentiation: Power Rule, Chain Rule, and First PrinciplesSecond Derivatives and Curve ConcavityBasic Integration and Reverse Power RuleIntegrating Common FunctionsSolving Area Under Curve ProblemsFull Worked Solutions for Must-Know Integration Questions from Add Maths 4037 Past PapersWho This Course Is For:O Level Mathematics students preparing for final or mock examsCambridge Additional Mathematics (4037) students needing structured revisionTeachers and private tutors looking for clear and organized refresher contentStudents aiming to improve problem-solving skills and exam techniques

Overview

Section 1: Introduction

Lecture 1 Introduction

Lecture 2 Function Basics Made Simple: Domain, Range & How They’re Different!

Lecture 3 Fuction vs Relation

Lecture 4 Composite & inverse functions

Lecture 5 . logarithm laws , exponent laws

Lecture 6 vectors ,addition, multiplication, parallel vectors exam tips

Lecture 7 proportion ,direct& inverse

Lecture 8 Combined Variation Challenge: Direct & Inverse Together!

Lecture 9 Arithmetic and geometric sequence

Lecture 10 solution of triangles

Lecture 11 10. Circular Measure

Lecture 12 15. Quadratic Functions

Lecture 13 16. Coordinate Geometry

Lecture 14 11. Differentiation Power Rule in Action

Lecture 15 12. Differentiation Chain Rule Shortcut –

Lecture 16 13. Differentiation by First Principle (Ab Initio Method)

Lecture 17 14. Second Derivative Insights — Concavity Concept

Lecture 18 Reverse Power Rule Basic Integration Concept

Lecture 19 integrating Common Functions – Step-by-Step Video Script.wmv

Lecture 20 Area Under Curve Problems

Lecture 21 Must-Know Integration Questions from Add Math’s Past Papers (4037) | Fu

Lecture 22 Challenging: Integration by parts Compute an Area — Using Definite Integral

Lecture 23 Arithmetic Mean & Geometric mean

O Level Mathematics students preparing for their final exams and looking to revise key topics quickly and effectively Cambridge Additional Mathematics (4037) candidates seeking a structured refresher of important concepts, formulas, and exam techniques Students who want to practice exam-style questions from past papers with full worked solutions Learners struggling with topics like functions, logarithms, differentiation, integration, sequences, and vectors Anyone aiming to build confidence and strengthen problem-solving skills in mathematics before exams Ideal for students who want a clear, no-jargon, step-by-step revision course with essential exam tips and examples,studying add maths