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Math 120 Rubric Unacceptable Needs Improvement Target Antiderivatives: Integration by Cannot recognize which function Cannot do all three levels as Can recognize when to apply this Parts is f(x) and which function is g(x) described in the target category; technique; can complete the and their derivatives; cannot can only complete elementary following problem types: complete a “level one” problem problems 1. No repetition problems 2. Repetitions 3. Tabular method Antiderivatives: Partial Fractions Cannot do these problems Cannot do all four levels as Can recognize when to apply this described in target category technique; can complete the following problem types: 1. Linear factors, non- repeated 2. Repeated linear factors 3. Irreducible quadratics 4. Repeated irreducible quadratics Antiderivatives: Trig Functions Cannot do these problems Can do only elementary functions Can find the antiderivatives of elementary and complex trig functions Indeterminate Forms Cannot do these problems Can do standard problems but has 0 trouble with non-standard ones Can do and indeterminate 0 forms and apply L’Hopital’s rule; can convert non-standard indeterminate forms into standard forms and solve Evaluate Improper Integrals Cannot do Necessary Test or Struggles with L’Hopital’s rule Apply Necessary Test to L’Hopital’s Rule and/or finding antiderivatives determine if improper integrals are real numbers and find an antiderivative Limit of a Sequence Cannot find limit Can only find limits of basic Can find the limit of a sequence, functions, cannot apply Squeeze can apply the Squeeze Theorem Theorem or L’Hopital’s rule and L’Hopital’s Rule Infinite Series Cannot do tests for convergence Can do individual convergence Determines convergence or tests but cannot apply the correct divergence by applying the test to a given series appropriate convergence test Power Series Functions Cannot determine convergence Can do easier problems but not Given a power series, can interval challenging ones determine an interval for convergence Plane Curves Cannot analyze curves Can only do some tasks in the Can find slope, length, and target category and/or cannot determine concavity analyze all curves Polar Coordinates Cannot set up these problems May be able to set up arc length Can convert between polar and or area but cannot finish the rectangular coordinates; can find problem the distance between points in polar form; can sketch a graph of r f ( ) ; can find arc length, area, and slope Vectors Cannot do these problems Cannot do cross product and/or Can do the following with vectors: cannot write the equation of a addition, scalar multiplication, dot plane or line product, and cross product; can find the magnitude in order to write the equation of a plane or line in 3-dimensional space Vector-Valued Functions Cannot do these problems Cannot do more than “level one” Can find limits and integrate and problems (polynomials in each differentiate vector-valued component) functions Functions of 2 Variables: Limits Cannot do these problems Cannot find the limit or cannot Knows the definition of f(x,y) and determine continuity of f(x,y) at a can apply it to find simple limits; point can determine if f(x,y) is continuous at a point Functions of 2 Variables: Partial Cannot do these problems Can do elementary but not more Can find partial derivatives of Derivatives complex functions functions of 2 variables Functions of 2 Variables: Cannot do these problems Can do elementary but not more Can find the directional derivative Directional Derivatives complex functions of a function at a given point Functions of 2 Variables: Tangent Cannot do these problems Can do elementary but not more Given a function and a point the Plane complex functions function passes through, can find the equation of a plane Functions of 2 Variables: Relative Cannot find any candidates for Cannot solve the system of Given a function of 2 variables, Extrema extrema equations to find all candidates can find candidates for relative and/or cannot do mechanics of extrema and can apply the 2nd nd the 2 partials test partials test to determine max, min, saddle points Functions of 2 Variables: Multiple Cannot do these problems Cannot set up the integrals and/or Can evaluate multiple integrals, Integrals make necessary changes as changing the order of integration described in target category or changing a variable to polar coordinates as needed

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posted: | 9/7/2012 |

language: | English |

pages: | 2 |

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