Undergraduate Bulletin - Loyola Marymount University

388 / MATHEMATICS
MATH 301
Mathematical Ideas for Future Teachers I
3 Semester Hours
A selection of topics from number theory, algebra, game
theory, probability, and statistics of interest to future
teachers. The emphasis is on deepening students’
understanding of the methods and philosophy of
mathematics. Students will actively engage in exploring
mathematics through student investigations and
presentations.
Prerequisites: MATH 107 and MATH 111 or 112 or 120
or 122 or 131.
MATH 302
Mathematical Ideas for Future Teachers II
3 Semester Hours
A selection of topics from geometry and topology of
interest to future teachers. The emphasis is on deepening
students’ understanding of the methods and philosophy of
mathematics. Students will actively engage in exploring
mathematics through student investigations and
presentations.
Prerequisites: MATH 107 and MATH 111 or 112 or 120
or 122 or 131.
MATH 308
Mathematics for Elementary Teachers Workshop I
1 Semester Hour
Hands-on use of math manipulatives related to the
elementary school concepts of sets, systems of
numeration, whole numbers, integers, fractions, and
decimals.
Prerequisite: MATH 106 or concurrent enrollment or
consent of instructor.
MATH 309
Mathematics for Elementary Teachers Workshop II
1 Semester Hour
Hands-on use of math manipulatives related to geometry,
probability, and statistics appropriate to the elementary
school mathematics curriculum.
Prerequisite: MATH 107 or concurrent enrollment or
consent of instructor.
MATH 321
Real Variables I
3 Semester Hours
The real number system, least upper bound, sequences,
Cauchy sequences, functions, limits of functions,
continuity, derivatives, and Riemann integration.
Prerequisite: MATH 248.
MATH 322
Real Variables II
3 Semester Hours
Infinite series, uniform convergence, power series, and
improper integrals.
Prerequisite: MATH 321.
MATH 331
Elements of Group Theory
3 Semester Hours
Group theory. Binary operations, subgroups, cyclic
groups, factor groups, isomorphism, homomorphism, and
Cayley’s theorem.
Prerequisite: MATH 248.
MATH 332
Elements of the Theory of Rings and Fields
3 Semester Hours
Rings, integral domains, fields, ideals, factor rings,
polynomial rings, and unique factorization domains.
Prerequisite: MATH 331.
MATH 350
Advanced Linear Algebra
3 Semester Hours
Vector spaces over an arbitrary field, dual spaces, Cayley-
Hamilton theorem, invariant subspaces, canonical forms
for matrices, inner product spaces over C, the spectral
theorem.
Prerequisite: MATH 250.
MATH 355
Methods of Applied Mathematics
3 Semester Hours
Series solutions and special functions. Orthogonal
functions and Fourier series, partial differential equations
and boundary value problems.
Prerequisites: MATH 234 and 245.
MATH 357
Complex Variables
3 Semester Hours
Complex variables; analytic functions, Laurent expansions
and residues; evaluation of real integrals by residues;
integral transforms.
Prerequisite: MATH 234.