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Here is a list of Occidental
courses (and additional review materials) which I have compiled as
being helpful in preparing to take the PRAXIS. This exam, along with
coursework in Education, is required for those seeking to obtain a
Single Subject Credential in Mathematics at Occidental College.
Information and registration booklets for the PRAXIS are available
in the Education department.
Essential:
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Differential Calculus (110 or equivalent)
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Integral Calculus (120 or equivalent)
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Discrete Mathematics (210)
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Linear Systems (212)
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Multivariable Calculus (224)
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Real Analysis (310)
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Algebra (320)
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Number Theory (322)
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Statistics/Statistical Data Analysis/Probability (at least one of 106,
150, or 330)
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Exposure to simple computer programs and programming (any CS
course would provide this exposure)
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Solid review of "elementary" mathematics: number
concepts and elementary number theory, elementary algebra,
high school geometry (do this on your own, or do some tutoring
for junior high and high school students)
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Solid review of "precalculus" mathematics: college
algebra, trigonometry, analytic geometry, functions and
function theory (again, tutoring of high school students or
students in Math 108-109 may be most helpful)
Recommended:
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Axiomatic Geometry (360)
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Combinatorics (380)
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History of Mathematics (490)
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Exposure to some professional journals and resources in
mathematics teaching Exposure to important developments in the
history of mathematics Exposure to pedagogical issues such as
teaching methods, curriculum, and analysis of student errors
Additional courses should be
selected on the basis of interest and eventual emphasis in graduate
studies:
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Axiomatic Geometry (Math 360)
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Combinatorics (Math 380)
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Differential Geometry (Math 362)
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Linear Spaces (Math 390)
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Mathematical Logic (Math 350)
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Models of Computations (Math 420)
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Number Theory (Math 322)
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Probability Theory (Math 330)
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Set Theory (Math 352)
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Topology (Math 460)
If you have any questions
about earning a credential in mathematics, please feel free to
contact the Education Department at (323) 259-2781 or the
Mathematics contact person, Professor Mickey McDonald at (323)
259-2504.
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