Math 308 Exam 1 Review
The first midterm will be held in class on Monday, February 23. It
will be a closed-book, closed-notes exam, and will cover all class
material from sections 0-9 of the textbook.
You will be asked for complete definitions (including appropriate context,
e.g., what kind of thing might be commutative?) of some subset of
the following terms:
- Cartesian product
- relation
- function
- injective
- surjective
- bijective
- inverse function
- partition
- equivalence relation
- congruent modulo n
- nth roots of unity
- binary operation
- closed
- induced operation
- commutative
- associative
- binary algebraic structure
- isomorphism
- structural property
- identity element
- inverse element
- group
- abelian
- order (of a group)
- subgroup
- improper/proper subgroup
- trivial/nontrivial subgroup
- cyclic subgroup
- generator
- cyclic group
- order (of an element)
- greatest common divisor
- relatively prime
- finitely generated group
- Cayley digraph
- permutation
- symmetric group
- left/right regular representation
- orbit
- cycle
- length
- disjoint cycles
- transposition
- even/odd permutation
- sign of a permutation
- alternating group
Did you think Math 307 had a lot of definitions?
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