## Guide to Mathematical MethodsA guide to mathematical methods which looks at a range of areas such as: functions, differentiation, integration, linear equations, determinants, matrices, vectors, functions of two variables, line integrals and double integrals, complex numbers and differ |

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### Contents

DIFFERENTIATION | 26 |

INTEGRATION | 46 |

LINEAR EQUATIONS DETERMINANTS | 94 |

Copyright | |

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angle arbitrary constant Argand diagram augmented matrix axis called chain rule coefficients column complementary function complex numbers coordinates corresponding cos2 cosh curve defined differential equation direction cosines distance domain double integral dx dx dx dy dy dx example exponential formula Gaussian Elimination given gives graph hence identity integral becomes integrand intersection interval inverse function left-hand side limit line integral linear loge mathematics matrix method Miscellaneous Exercises multiplying notation obtain parametric equation partial derivatives partial fractions particular integral perpendicular polynomial position vector putting rational functions real numbers region respect right-hand side saddle point satisfy Show shown in Figure sin2 sinh sinx solution of Equation solve substitution Suppose tangent tanh Theorem unit vector variables vector field vector functions vector product write x)dx xy plane zero