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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

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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

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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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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

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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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Trigonometry

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

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AP Calculus AB/BC

Differentiation - Higher Maths

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

Differentiation

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

1 best study notes in Trigonometry

Differentiation

2 best study notes in Differentiation

Integration

1 best study notes in Integration