Undergraduate Bulletin - Loyola Marymount University

402 / MATHEMATICS
MATH 199
Independent Studies
1-4 Semester Hours
MATH 234
Calculus III
4 Semester Hours
Partial derivatives, multiple integrals, three-dimensional
space, vectors in two- and three-dimensional space, line
integrals, Green’s theorem.
Prerequisite: MATH 132 or equivalent.
MATH 245
Ordinary Differential Equations
3 Semester Hours
Differential equations as mathematical models; analytical,
qualitative, and numerical approaches to differential
equations and systems of differential equations; and
Laplace transform techniques.
Prerequisite: MATH 132 or equivalent.
MATH 248
Introduction to Methods of Proof
3 Semester Hours
Number theory, sets, functions, equivalence relations,
cardinality, methods of proof, induction, contradiction,
contraposition.
Prerequisite: MATH 132 or equivalent.
MATH 250
Linear Algebra
3 Semester Hours
Systems of linear equations, Gauss and Gauss-Jordan
elimination, matrices and matrix algebra, determinants.
Linear transformations of Euclidean space. General vector
spaces, linear independence, inner product spaces,
orthogonality. Eigenvalues and eigenvectors, diagonalization.
General linear transformations.
Prerequisite: MATH 234 or 248 or consent of instructor.
MATH 261
Mathematics: Contributions by Women
3 Semester Hours
A study of the lives and work of women mathematicians
from the 4th through the 21th centuries. Topics include
prime numbers, conic sections, cycloid curve, functions,
sequences, series, polyhedra, and group theory.
Prerequisite: MATH 101 or higher, or placement into MATH
106 or higher.
MATH 264
Cryptography throughout the Ages
3 Semester Hours
A study of mathematical systems used for enciphering and
deciphering information and the context in which these
systems arose; in particular, encryption/decryption used
during World War II and modern systems, including public
key cryptography. Policy issues related to cryptography also
will be studied.
Prerequisite: MATH 101 or higher, or placement into MATH
106 or higher.
MATH 282
Elementary Numerical Methods
3 Semester Hours
Computer solutions of applied mathematical problems using
a procedural programming language and a computer algebra
system. Nonlinear equations, differentiation, integration.
Prerequisite: MATH 131 or equivalent.
MATH 285
Discrete Mathematics for Engineering
3 Semester Hours
An introduction to basic counting; permutations;
combinations; probability; the binomial distribution; set
theory; generating functions; recurrence relations; with C
programming.
Prerequisite: MATH 132 or equivalent.
MATH 293
Mathematics Teaching Field Experience
0 Semester Hours
Planned observation, instruction or tutoring experiences
appropriate for future secondary or middle school
mathematics teachers; related professional reading and
reflections.
MATH 298
Special Studies
1-4 Semester Hours
MATH 299
Independent Studies
1-4 Semester Hours