Doing the Math - JHU Mathematics - Johns Hopkins University
Doing the Math - JHU Mathematics - Johns Hopkins University
Doing the Math - JHU Mathematics - Johns Hopkins University
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
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>