# Math 120 Rubric

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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
4. Repeated irreducible
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,