Mathematics Standards
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Showing 51 - 60 of 142 Standards
Standard Identifier: Calculus.20.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students compute the integrals of trigonometric functions by using the techniques noted above.
Students compute the integrals of trigonometric functions by using the techniques noted above.
Standard Identifier: Calculus.21.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students understand the algorithms involved in Simpson’s rule and Newton’s method. They use calculators or computers or both to approximate integrals numerically.
Students understand the algorithms involved in Simpson’s rule and Newton’s method. They use calculators or computers or both to approximate integrals numerically.
Standard Identifier: Calculus.22.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students understand improper integrals as limits of definite integrals.
Students understand improper integrals as limits of definite integrals.
Standard Identifier: Calculus.23.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges.
Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges.
Standard Identifier: Calculus.24.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students understand and can compute the radius (interval) of the convergence of power series.
Students understand and can compute the radius (interval) of the convergence of power series.
Standard Identifier: Calculus.25.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students differentiate and integrate the terms of a power series in order to form new series from known ones.
Students differentiate and integrate the terms of a power series in order to form new series from known ones.
Standard Identifier: Calculus.26.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students calculate Taylor polynomials and Taylor series of basic functions, including the remainder term.
Students calculate Taylor polynomials and Taylor series of basic functions, including the remainder term.
Standard Identifier: Calculus.27.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students know the techniques of solution of selected elementary differential equations and their applications to a wide variety of situations, including growth-and-decay problems.
Students know the techniques of solution of selected elementary differential equations and their applications to a wide variety of situations, including growth-and-decay problems.
Standard Identifier: Calculus.3.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students demonstrate an understanding and the application of the intermediate value theorem and the extreme value theorem.
Students demonstrate an understanding and the application of the intermediate value theorem and the extreme value theorem.
Standard Identifier: Calculus.4.0
Grade Range:
9–12
Discipline:
Calculus
Standard:
Students demonstrate an understanding of the formal definition of the derivative of a function at a point and the notion of differentiability:
Students demonstrate an understanding of the formal definition of the derivative of a function at a point and the notion of differentiability:
Showing 51 - 60 of 142 Standards
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