Algebra and Functions Unit Introduction

Algebra and Functions - Unit Introduction

• Introduction
• Abu Ja'far Muhammad ibn Musa al-Khwarizmi was a Persian scholar during the Islamic Golden Age. During this period Europe was 'asleep' in The Dark Ages.
• His contribution to mathematics was enormous; translating Greek and Hindu texts on geometry and astronomy, popularising the Hindu-Arabic numeral system used throughout the world today and his great book
• الكتاب المختصر في حساب الجبر والمقابلة
• al-Kitāb al-mukhtaṣar fī ḥisāb al-jabr wal-muqābala
• The Compendious Book on Calculation by Completion and Balancing
• The word al-jabr in the title is where the modern word algebra comes from.
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Alegebra and Functions - Sub-Units

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• Legenda: A page from The Compendious Book on Calculation by Completion and Balancing
• Algebra and Functions unit consists of six sub units
• 1a. Algebraic expressions – basic algebraic manipulation, indices and surds
• 1b. Quadratic functions – factorising, solving, graphs and the discriminants
• 1c. Equations - quadratic/linear simultaneous
• 1d. Inequalities – linear and quadratic (including graphical solutions)
• 1e. Graphs – cubic, quartic and reciprocal
• 1f. Transformations – transforming1a. Algebraic expressions – basic algebraic manipulation, indices and surds graphs – f(x) notation