Maths: AA HL - Concept Videos
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All Topics
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Definition and general term of arithmetic sequences
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Sum of an arithmetic sequence
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Geometric sequences and their general term
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Sum of a geometric sequence
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Polynomial expressions and their factorizations
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Rational expressions and their simplification
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Division of polynomials
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Exponent laws and properties
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Logarithmic functions and their properties
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Solving exponential and logarithmic equations
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Binomial expansion and coefficients
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Applications of binomial expansions
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Equation of a straight line
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Distance formula, midpoint formula, and area of triangle
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Circles and their equations
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Definitions of sine, cosine, and tangent
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Unit circle and angle measurement
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Trigonometric identities
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Law of Sines and its applications
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Law of Cosines and its applications
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Solving triangles using these laws
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Rules of differentiation (power, product, quotient, chain rule)
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Applications of derivatives in optimization problems
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Definition of a derivative (rate of change)
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Indefinite integrals and their properties
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Definite integrals and the area under a curve
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Applications of integration in areas and volumes
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Solving first-order differential equations
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Applications of differential equations in real-life problems
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Definition and calculation of limits
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Continuity of functions at a point
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Squeeze theorem
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Measures of central tendency (mean, median, mode)
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Measures of spread (range, variance, standard deviation)
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Box plots and histograms
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Basic probability rules and concepts
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Conditional probability and Bayes’ theorem
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Probability distributions (binomial, normal etc.)
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Hypothesis testing and confidence intervals
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Z-scores and t-tests
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Correlation and regression analysis
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Identifying a research question
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Mathematical models and their exploration
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Writing an exploration and report
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Developing problem-solving strategies
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Real-world applications of mathematics
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Using mathematical models in investigations
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Definition and types of functions (one-to-one, onto etc.)
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Domain and range of functions
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Inverses of functions
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Translation, reflection, stretching, and compression
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The effect of transformations on the graph of a function
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Sine, cosine, and tangent functions
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Trigonometric identities and equations
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Graphing trigonometric functions
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Real-world applications of functions (e.g. growth models)
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