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Complete Additional Mathematics (4037) Refresher:

Complete Additional Mathematics (4037) Refresher:

Master core Add Maths and O Level topics with clear explanations, problem-solving techniques, and exam-focused strategie
Last updated 7/2025
English

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.

Course content

1 section25 lectures2h 41m total length
  • Introduction3:42
  • Function Basics Made Simple: Domain, Range & How They’re Different!7:52
  • Fuction vs Relation4:14
  • Composite & inverse functions2:20
  • . logarithm laws , exponent laws2:33
  • vectors ,addition, multiplication, parallel vectors exam tips5:07
  • proportion ,direct& inverse10:51
  • Combined Variation Challenge: Direct & Inverse Together!1:05
  • Arithmetic and geometric sequence8:19
  • solution of triangles13:22
  • 10. Circular Measure2:46
  • 15. Quadratic Functions10:09
  • 16. Coordinate Geometry5:23
  • 11. Differentiation Power Rule in Action4:04
  • 12. Differentiation Chain Rule Shortcut –3:38
  • 13. Differentiation by First Principle (Ab Initio Method)8:28
  • 14. Second Derivative Insights — Concavity Concept2:54
  • Reverse Power Rule Basic Integration Concept4:04
  • integrating Common Functions – Step-by-Step Video Script.wmv2:51
  • Area Under Curve Problems7:44
  • Must-Know Integration Questions from Add Math’s Past Papers (4037) | Fu14:17
  • Challenging: Integration by parts Compute an Area — Using Definite Integral8:12
  • Arithmetic Mean & Geometric mean22:24
  • Index Numbers 1012:36
  • Weighted vs Unweighted Index2:06

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 Laws

  • Functions, Domains, Ranges, and Relations

  • Composite and Inverse Functions

  • Vectors: Addition, Multiplication, and Parallel Vectors

  • Proportion, Direct and Inverse Variation, and Combined Variation

  • Arithmetic and Geometric Sequences

  • Solution of Triangles

  • Circular Measure

  • Quadratic Functions

  • Coordinate Geometry

  • Differentiation: Power Rule, Chain Rule, and First Principles

  • Second Derivatives and Curve Concavity

  • Basic Integration and Reverse Power Rule

  • Integrating Common Functions

  • Solving Area Under Curve Problems

  • Full Worked Solutions for Must-Know Integration Questions from Add Maths 4037 Past Papers

Who This Course Is For:

  • O Level Mathematics students preparing for final or mock exams

  • Cambridge Additional Mathematics (4037) students needing structured revision

  • Teachers and private tutors looking for clear and organized refresher content

  • Students aiming to improve problem-solving skills and exam techniques

Who this course is for:

  • 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