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Mathematical skills
by Venkat Sastry
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Mathematical skills

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Arithmetic

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Order of evaluation - BODMAS

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Fractions

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Numbers

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Scientific notation

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Decimals

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Percentages

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Ratios and proportions

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SI Units

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Arithmetic using mixed scales

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Binary arithmetic

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Use of calculator

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Algebra

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indices

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solution of equations

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non-linear equations

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Transformation of formulae

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Inequalities

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Evaluation of formulae

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Direct and inverse proportions

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Algebraic Manipulation

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Partial Fractions

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Trigonometry

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angular measure

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evaluate trigonometric functions

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definitions of sin, cos and tan

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basic trigonometric identities

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addition formula - multiple angles

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double angle formulae

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Worded problems

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sine and cosine rules

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Northings and Eastings

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Approximations for small angles

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Series representation

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Changing Cartesian to Polar co-ordinates

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Compound angles

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Functions and Graphs

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linear relationships

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polynomials

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exponentials

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logarithms

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trigonometric

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Calculus

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Differentiation

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Integration

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Vectors

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vector addition

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resolution of vectors

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vector subtraction

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Products

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Matrices

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addition, subtraction

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product of matrices

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determinant of a matrix

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inverse of a matrix

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eigenvalues

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eigenvectors

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Differential equations

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First order equations

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Second order equations

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System of equations

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Linear and Non-linear equations

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