Course Prefix and Number:
Learner Outcome
Math 461
Activity (optional)
Date:
01/05/2015
Assessment
Analyze a given algebraic
structure to determine if it
satisfies an axiomatic system.
Students will complete problems
on homework, quizzes and exams
that require the use of the axioms
for algebraic systems such as
groups, rings, and fields.
Write correct proofs within an
algebraic axiomatic system.
Students will write proofs
involving groups, rings, and fields
on homework, quizzes and exams.
Choose necessary and/or
sufficient conditions
guaranteeing the truthfulness
of mathematical statements.
Students will provide conditions
guaranteeing the truth of
mathematical statements about
algebraic structures.
Assess a problem to determine
which theorems to combine to
write a correct proof.
Students will choose appropriate
theorems written in terms of
groups, rings, and fields to
common number systems such as
modular arithmetic, the integers,
and the real numbers.
It should be noted that MATH
461 and 462 form a sequence of
courses that are taken together.
They share common learner
outcomes since the content is
distributed across the three
courses and the order of coverage
may vary.
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