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List of abbreviations and symbols | |
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Instructions for the tutor | |
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Instructions for the student | |
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Ways of displaying numbers | |
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Algebra I: Introducing notation, nomenclature, symbols, and operators | |
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Algebra II: The correct order to perform a series of operations: BODMAS | |
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Algebra III: The use of fractions | |
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Algebra IV: Simplification and elementary rearrangements | |
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Algenra V: Rearranging equations according to the rules of algebra | |
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Algebra VI: Simplifying equations: brackets and factorising | |
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Algebra VII: Simultaneouus equations | |
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Graphs I: Introducing pictorial representations of functions | |
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Graphs II: The equation of a straight line | |
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Statistics I: Averages and simple data analysis | |
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Statistics II: Treatment and assessment of errors analysis | |
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Power I: Introducing indices and powers | |
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Powers II: Logarithms and exponentials | |
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Powers III: OBtaining linear graphs from non-linear functions | |
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Trigonometry | |
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Differentiation I: Introduction, tangents, rates of change, and first principles | |
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Differentiation II: Differentiating other functions | |
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Differentiation III: Differentiating functions of functions: the chain rule | |
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Differentiation IV: Maxima and minima on graphs S second differentials | |
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Differentiation V: The product and quotient rules | |
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Differentiation VI: Partial differentiation and polar coordinates | |
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Integration I: Reversing the process of differentiation | |
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Integration II: Integration with limits, and deriving equations | |
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Integration III: Area determination | |
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Integration IV: Multiple integration and integration by parts | |
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Quantum mathematics I: Matrices | |
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Quantum mathematics II: Vectors and determinants | |
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Quantum mathematics III: Complex numbers | |
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Dimensional analysis | |
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Appendices | |
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Answers to all self-test problems | |
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Bibliography | |
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Glossary | |
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Chemical Index | |
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Chemistry index | |
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Mathematics index | |