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Brief notes on the topic Functions and Graphs from the A-Level syllabus.

Explore key concepts in function transformations, including translations, stretches, and reflections. This summary covers graphing techniques, domain and range, and inverse functions, essential for A-Level mathematics. Ideal for students preparing for exams.

Transformations of Functions

Revision note

maria

Functions and Graphs - A-Level

finance topic-higher applications of maths example questions/practice questions and answers

Explore advanced concepts in financial mathematics with example problems and solutions. This resource covers key topics such as percentage calculations, interest rates, annuities, and compound interest, providing students with practical applications and practice questions to enhance their understanding.

Advanced Financial Mathematics

ava🪱

higher applications of mathematics-finance

Ultimate Maths Cheat Sheet of everything you need to know in Differentiation.

Explore essential differentiation techniques including the Chain Rule, Implicit Differentiation, and the Product Rule. This comprehensive guide covers key formulas and methods for solving complex differentiation problems, making it an invaluable resource for A Level students. Perfect for exam preparation and quick reference.

Differentiation Techniques Overview

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UKRevisionResources

Differentiation CheatSheet (A2)

Algebra & functions

Explanation, examples and worked practice questions for binomial expansions of the form (a + b×)^n

Explore the fundamentals of binomial expansion with detailed explanations, examples, and practice questions. This resource covers the Binomial Theorem, binomial coefficients, and step-by-step methods for expanding expressions of the form (a + b)^n, tailored for Year 1 students.

Binomial Expansion Techniques

elle

Year 1 Binomial Expansion 

Sequences and series

Explore key mathematical formulas and concepts essential for A-Level Maths, including differentiation, integration, trigonometry, and probability. This comprehensive resource covers differentiation rules, integration techniques, and trigonometric identities, providing students with the tools needed for success in their studies.

Essential Maths Formulas

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Study note

English

math formulas

Arithmetic

maths formulas

AQA A level trigonometry. A recap of basic trigonometry with sine and cosine rules, area of a triangle, trigonometry graphs and worked examples. 

Explore advanced AQA A Level trigonometry, including trigonometric values, equations, functions, and the Pythagorean identity. This resource features detailed explanations, worked examples, and applications of sine and cosine rules, as well as the area of triangles. Ideal for students seeking to deepen their understanding of trigonometry.

Advanced Trigonometric Concepts

Julia Morgan

Basic trigonometry 

Trigonometry

Notes on WJEC AS Pure Mathematics - Differentiation.

Explore key concepts in differentiation, including first and second derivatives, critical points, and inflection points. This summary covers how to model profit maximization using calculus, with practical examples and applications relevant to WJEC AS Pure Mathematics. Ideal for students seeking to understand the fundamentals of differential calculus and its applications in real-world scenarios.

Maximizing Profit with Derivatives

Ceri Thomas

Differentiation

Proof of differentiation from first principles and then examples of using the formula 

Explore the fundamental concepts of differentiation from first principles. This study note provides step-by-step proofs for derivatives of functions like 4x, x³, and x², along with practical examples. Ideal for students mastering calculus derivatives and differentiation rules.

First Principles Differentiation

Differentiation from first principles

Past paper Questions for Differentiation in Higher Maths

Explore essential differentiation techniques through past paper questions in higher mathematics. This resource covers key concepts such as turning points, tangent equations, and curve sketching, providing students with practical applications of differentiation rules and higher-order derivatives.

Differentiation Techniques

past paper questions for differentiation in calculus

differentiation - calculus

AP Calculus AB/BC

Differentiation - Higher Maths

Notes on integration and areas under a curve 

Explore advanced integration techniques including the power rule, definite and indefinite integrals, and calculating areas under curves. This summary covers key concepts such as the constant of integration, integration of polynomials, and the relationship between integration and differentiation. Ideal for students looking to deepen their understanding of calculus.

Maths pure

Algebra & functions

3 best study notes in Algebra & functions

Sequences and series

1 best study notes in Sequences and series

Trigonometry

2 best study notes in Trigonometry

Differentiation

3 best study notes in Differentiation

Integration

1 best study notes in Integration