Undergraduate Catalog - Lake Erie College

MT 209 Discrete Mathematics (4 SH)
Semester Offered: Spring of Odd Years
Pre-Requisite(s): MT 210 or higher or permission of
instructor
Discrete mathematics is an introduction to proofs and
mathematical reasoning in the context of discrete mathematical
structures. Topics include proof techniques,
mathematical logic, set theory, relations, elementary
function theory and the Division Algorithm.
MT 210 Calculus and Analytical Geometry I (5 SH)
Semester Offered: Fall
Pre-Requisite(s): MT 110 or placement
A study of elementary calculus with analytical geometry
including the topics of integration, approximation, derivation
of algebraic, logarithmic, exponential, trigonometric
and inverse trigonometric functions with applications.
MT 211 Calculus and Analytical Geometry II (4 SH)
Semester Offered: Spring
Pre-Requisite(s): MT 210
A continuation of Calculus and Analytical Geometry I,
including the fundamental theorems, polar coordinates,
indeterminate forms, improper integrals, infinite series
and more analytical geometry.
MT 213 Calculus and Analytical Geometry III (4 SH)
Semester Offered: Fall
Pre-Requisite(s): MT 211
A continuation of Calculus and Analytical Geometry II,
including vectors and solid analytical geometry, partial differentiation,
multiple integrals and line and surface integrals.
MT 300 Modern Geometry and Logic (4 SH)
Semester Offered: Fall of even years
Pre-Requisite(s): MT 109, MT 110 or permission of instructor
Logic section includes simple and compound statements,
valid arguments and inductive and deductive reasoning.
The geometry covers axiomatic foundations of Euclidean
and Non-Euclidean geometries, finite geometry, transformations,
congruence, formal proofs, tessellations, fractals
and use of computer graphics technology.
MT 303 The History of Mathematics (4 SH)
Semester Offered: Spring of even years
Pre-Requisite(s): MT 109, or permission of instructor
A cross-cultural historical study of mathematics over the
past centuries; the mathematical thoughts from ancient
to modern times, women in mathematics, biographies of
mathematicians and application of mathematics to science.
174
MT 309 Differential Equations (4 SH)
Semester Offered: Spring of Even Years
Pre-Requisite(s): MT 211 or higher, or permission of instructor
Solution of various types of differential equations with
interpretations and applications.
MT 311 Intermediate Analysis I (4 SH)
Semester Offered: Fall of even years
Pre-Requisite(s): MT 211 and junior status, or permission
Introductions to the real-number system, sequences,
convergence, continuity and limits of functions, series,
differentiation and Riemann integration.
MT 323 Modern Linear Algebra (4 SH)
Semester Offered: Spring of odd years
Pre-Requisite(s): MT 210 or higher, or permission of instructor
This course covers systems of linear equations, matrices,
determinants, vector spaces, linear transformations,
eigenvalues and eigenvectors.
MT 324 Modern Abstract Algebra (4 SH)
Semester Offered: Fall of odd years
Pre-Requisite(s): MT 211 and junior standing, or permission
This course introduces the concepts for abstract algebra:
equivalence relations, isomorphism, group theory, modulo,
integer and number theory, rings, integral domains and
field. There is an emphasis on proofs.
MT 401 Senior Research (2 SH)
Senior capstone course, researching an area of mathematics
of their interest. May begin research spring of junior year.
MUSIC (MU)
Note: Applied music credit towards graduation is limited
to nine (9) hours. Students may continue to take applied
music, but credits in excess of nine will not be counted in
the 128 hours needed for graduation.
MU 100 Class Instruction in Voice (1 SH)
For beginners only.
MU 103 Private Instruction in Flute (1 SH)
MU 104 Introduction to the Art of Music (4 SH)
Semester Offered: Fall
An aural examination of the musical elements of timbre,
texture, rhythm, melody and harmony in musical styles
from Gregorian Chant to the present.
MU 105 Private Instruction in Piano (1 SH)
MU 106 Private Instruction in Voice (1 SH)