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Day 1 1
Functions (including Exponential and logarithmic functions)
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Day 2 5
Functions (including Exponential and logarithmic functions)
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Identify the features of a function including odd/even, domain, range .etcLecture2.1
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Linear, quadratic, cubic and other simple functionsLecture2.2
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Transformations and graphing of functionsLecture2.3
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Exponential and logarithmic functionsLecture2.4
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Exam-style practice problemsLecture2.5
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Day 2 5
Calculus
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Gradients of tangentsLecture3.1
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Differentiate from the first principle and derivative lawsLecture3.2
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Product rule, chain rule and quotient ruleLecture3.3
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Applications of calculus (rate of change)Lecture3.4
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Exam-style practice problemsLecture3.5
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Day 3 4
Calculus/sequences and series
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IntegrationLecture4.1
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Definite and indefinite integrals and areasLecture4.2
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Arithmetic/geometric sequences and seriesLecture4.3
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Exam-style practice problemsLecture4.4
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Day 4 5
Financial mathematics/trigonometry
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Modelling investments and loansLecture5.1
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Financial applications of sequences and seriesLecture5.2
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Reciprocal trigonometric functions & graphsLecture5.3
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Pythagorean identities and proofLecture5.4
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Exam-style practice problemsLecture5.5
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Day 5 5
Trigonometric functions/probability
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Solve harder trigonometric equationsLecture6.1
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Transformations of trig graphsLecture6.2
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Probability and Venn diagramsLecture6.3
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Discrete probability distributionsLecture6.4
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Exam-style practice problemsLecture6.5
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Day 6 5
Statistical analysis/revision
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Summary statistics(Pareto charts, cumulative frequency distribution tables, box-plots and two-way tables)Lecture7.1
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Bivariate data analysisLecture7.2
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Pearson’s correlation coefficientLecture7.3
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Continuous random variablesLecture7.4
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Normal distributionLecture7.5
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