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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 | |