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Individuals, variables, and categorical & quantitative data
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Practice identifying components of a data set: individuals, variables, categorical data, quantitative data.
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Infinite limits challenge
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Review your understanding of infinite limits with some challenge problems.
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Introduction to the ellipsis
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The ellipsis is used to show a pause in speech or that part of a sentence has been removed.
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Modulo operator
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Practice using the modulo operator
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Introduction to the parenthesis
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Parentheses are used to set off extra information from a sentence, show an interruption, or indicate a reference. Practice identifying their uses in this exercise!
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Irregular plural nouns review
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Learn the plurals of some everyday irregular nouns!
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Modular addition
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Perfect squares intro
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Factor quadratic expressions into the special products of the general form (x+a)² or (x-a)².
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Solving quadratics by taking square roots: with steps
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Give a detailed solution of quadratic equations.
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Use Pythagorean theorem to find area and perimeter
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Find the area and perimeter of triangles and quadrilaterals by first using the Pythagorean Theorem to find missing side lengths.
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Ray tracing
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Find a ray that hits a specific target
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Skill check: Applications to other fields and related rates
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Test how well you can apply the principles of differentiation to other fields.
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Skill check: Partial derivatives and the gradient
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Test your knowledge of partial derivatives
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Chi-square tests for two-way tables
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For example, given a context, are the results of a chi-square test valid?
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Skill check: Mean value theorem, L'Hopital, and local linearization
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Test your understanding of a few key theorems in differential calculus
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One sample intervals for proportions
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For example, interpret a 2% margin of error.
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One sample intervals for means
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For example, given a context, is it okay to construct a 95% confidence interval?
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One sample tests for proportions
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For example, given a context, what is the meaning of Type 1 error?
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One sample tests for means
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For example, given a context, are the conditions met to perform a one-sample test about the mean?
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Skill check: Optimization
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Check your understanding of relative minima, maxima, concavity and optimization problems
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