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Doing the Math - JHU Mathematics - Johns Hopkins University

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APPENDICES<br />

These students should be considered for placement into college algebra or a credit-bearing course immediately<br />

preceding calculus.<br />

Total Right Score of About 86<br />

Students scoring at this level can demonstrate <strong>the</strong> following additional skills:<br />

understand polynomial functions,<br />

evaluate and simplify expressions involving functional notation, including composition of functions, and solve<br />

simple equations involving:<br />

trigonometric functions,<br />

logarithmic functions, and<br />

exponential functions.<br />

These students can be considered for a precalculus course or a nonrigorous course in beginning calculus.<br />

Total Right Score of About 103<br />

Students scoring at this level can demonstrate <strong>the</strong> following additional skills:<br />

perform algebraic operations and solve equations with complex numbers,<br />

understand <strong>the</strong> relationship between exponents and logarithms and <strong>the</strong> rules that govern <strong>the</strong> manipulation of<br />

logarithms and exponents,<br />

understand trigonometric functions and <strong>the</strong>ir inverses,<br />

solve trigonometric equations,<br />

manipulate trigonometric identities,<br />

solve right-triangle problems, and<br />

recognize graphic properties of functions such as absolute value, quadratic, and logarithmic.<br />

These students should be considered for placement into calculus.<br />

Analysis<br />

Of <strong>the</strong> six topics designated by <strong>the</strong> Accuplacer, three of <strong>the</strong>m are well covered, two of <strong>the</strong>m are covered<br />

incompletely, and one of <strong>the</strong>m, trigonometry, is not covered at all. In <strong>the</strong> proficiency statements, trigonometry<br />

skills appear first at a score of 63. Students who lack knowledge of trigonometry are not precluded from scoring 45<br />

or better on this Accuplacer.<br />

Algebraic Operations<br />

All of <strong>the</strong> four subtopics appear to be well covered.<br />

Solutions of Equations and Inequalities<br />

All of <strong>the</strong> three subtopics appear to be well covered.<br />

Coordinate Geometry<br />

Coverage here is somewhat uneven. Of <strong>the</strong> six subtopics, three of <strong>the</strong>m are well covered, one of <strong>the</strong>m is partially<br />

covered, and one of <strong>the</strong>m is covered only in <strong>the</strong> “Additional Topics” portion of <strong>the</strong> VSC.<br />

The following subtopics are implicit in functional analysis, and so appear to be well covered:<br />

The Coordinate Plane,<br />

Straight Lines, and<br />

Graphs of Algebraic Functions.<br />

The coverage of <strong>the</strong> two remaining subtopics is uneven:<br />

Sets of Points in <strong>the</strong> Plane: This topic is somewhat assumed in functional analysis. However, <strong>the</strong>re could be<br />

sets of points prescribed that <strong>the</strong> student is unfamiliar with such as conics, and<br />

Conics: included in <strong>the</strong> “Additional Topics” portion of <strong>the</strong> VSC.<br />

64 <strong>Doing</strong> <strong>the</strong> <strong>Math</strong>

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