Physical Sciences Math Practice

About this grouping

Identify the physical quantities and consistent units before using an equation. The examples practice recall and do not supply a complete science course.

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Each Start opens that topic’s available practice. This grouping does not launch a combined session or enroll you in a course.

• Physical-science formulas

  Common formulas from mechanics, waves, electricity, and related sciences.

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• Vector formulas

  Component forms for dot products, vector length, and cross products.

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• Matrix formulas

  Matrix products, 2×2 determinants and inverses, and basic matrix relationships.

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• Eigenvalue and least-squares formulas

  Eigenvector equations and least-squares relationships.

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• Multivariable operator formulas

  Standard gradient, divergence, curl, and multivariable calculus formulas.

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• Differential equation solution forms

  Common differential equations and the forms of their solutions.

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• Antiderivatives and substitution

  Recall basic antiderivatives and substitution relationships.

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• Basic probability rules

  Recall complements, unions and independent intersections.

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• Expectation and variance formulas

  Expectation, variance, and second-moment relationships.

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• Conditional probability

  Recall probability given that another event has occurred.

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• Binomial probability

  Recall the binomial probability formula and its conditions.

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• Bayes' theorem

  Recall Bayes’ theorem with its stated conditions.

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• Integration by parts

  Recall the integration-by-parts identity.

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