292 / 318
MATH-3750 Introduction to Dynamical Systems
–Sp
3 hours
Topics include one-dimensional flows and bifurcations, phase
portraits, linearization and classification of equilibrium points, limit
cycles, chaos, one-dimensional maps, and fractals.
Prerequisite:
MATH-2740 Differential Equations.
(even years)
MATH-3760 Numerical Analysis
–Sp
3 hours
Analysis of computational error, solutions of equations of one
variable, interpolation, numerical differentiation and integration,
finite difference methods for solving ordinary differential
equations, solving linear algebraic systems, and least squares
approximations.
Prerequisite: CS-1210 C++ Programming; MATH-
2710 Calculus III; MATH-2740 Differential Equations.
(odd years)
MATH-3800 Research Methods
–Sp
1 hour
This course will introduce the mathematics major to the
various resources and methods available for researching topics
in mathematics. This could include the use of library resources at
Cedarville University, use of Internet resources, WWW searches,
and a tour of the library at a larger university, where journals
and indices of importance can be referenced.
Prerequisites:
MATH-2210 Logic and Methods of Proof; ENG-1400 English
Composition.
(Fee: $50)
MATH-4110 Probability and Statistics II
–Sp
3 hours
Second course of a two-course sequence covering basic
concepts of statistics. Topics chosen from the following: hypothesis
tests, regression analysis, quality control, and non-parametric
statistics.
Prerequisites: MATH-3110 Probability and Statistics I.
MATH-4210 Mathematical Methods for Physicists
–Fa
3 hours
Advanced mathematical methods used in the solution of
physics problems. Topics include curvilinear coordinates, vector
analysis, and solutions to partial differential equations using
Fourier, Bessel and Legendre functions.
Prerequisites: MATH-
2710 Calculus III; MATH-2740 Differential Equations.
(even years)
MATH-4410
3 hours
Euclidean and Non-Euclidean Geometry
–Sp
Rigorous treatment of the foundations of Euclidean geometry;
an introduction to hyperbolic geometry with emphasis on its
Euclidean models.
Prerequisites: MATH-2210 Logic and Methods
of Proof.
MATH-4450 Topology
–Fa
3 hours
An introduction to elementary point set topology with
emphasis on illustrating how the familiar concepts of closed and
open intervals, continuity of functions, distances, and various
geometrical properties have been generalized from classical
mathematics. Topics include: metric spaces, topological space
theory, separation axioms, covering properties, compactness,
connectedness, metrizability, and complete metric spaces.
Prerequisite: MATH-2210 Logic and Methods of Proof.
(even
years)
MATH-4610, 4620 Abstract Algebra I and II
–Fa, Sp
3 hours/sem
Introduction to and development of the basic ideas of algebraic
systems, groups, rings, integral domains, fields, and other
advanced topics.
Prerequisite: MATH-2210 Logic and Methods of
Proof.
(even years)
MATH-4710, 4720 Real Variables I and II
–Fa, Sp
3 hours/sem
Introduction to the real number system’s algebraic order,
completeness, and cardinality properties, the topology of
Cartesian spaces Rn and functions including continuity and
uniform continuity, connectedness, convexity, compactness,
various types of convergence, limits, differentiability, and Riemann
integration, measurability, and Ln.
Prerequisites: MATH-2210
Logic and Methods of Proof.
(odd years)
MATH-4800
3 hours
Capstone Experience in Mathematics
–Fa, Sp
The course will allow students to deeply research an important
topic in mathematics, both individually and collectively, and to
present their findings from library research as well as personal
work.
Prerequisites: MATH-3800 Research Methods in
Mathematics; 15 hours of courses beyond MATH-1720 Calculus
II; permission of instructor.
(Fee: $20)
MATH-4880 Topics in Mathematics
–Fa, Sp
1–3 hours
Some typical topics are linear programming, numerical analysis,
stochastic calculus, non-parametric statistics, partial differential
equations, or mathematical modeling. This course is intended to
be a topic not in the current curriculum that is a logical extension
and development of the student’s academic plan.
Prerequisite:
permission of instructor.
MATH-4900
1–3 hours
Independent Study in Mathematics
–Fa, Sp
Independent research in the various branches of mathematics
and allied fields of application. Submission and approval of a
research proposal must precede registration.
Prerequisite: major in
mathematics or permission of research advisor.
Mathematics Education (MTED)
MTED-3110 Clinical Teaching in Mathematics
–Fa, Sp
1 hour
Students are assigned to assist a college instructor in
classroom and laboratory teaching, evaluation, and related
responsibilities. The student must complete 40 clock hours of
clinical involvement in each teaching field for which licensure is
desired.
Prerequisite: completion of Introduction to Education
Block.
MTED-3120 Teaching Mathematics
–Fa
3 hours
Designed to introduce prospective secondary school
mathematics teachers to the curriculum, materials, and methods
of classroom teaching.
Prerequisite: admission to the Teacher
Education Program.
Physics: General Education (PHYS)
Except where noted, general education courses are designed
to meet the general education requirements for graduation. These
courses will not count toward graduation requirements for majors
found in the Department of Science and Mathematics unless they
are specifically listed in the curriculum requirements for a major.
A student majoring in science or mathematics may take these
courses only as electives. However, any course listed for a science
or mathematics major or minor may also count toward fulfilling
general education requirements.
PHYS-1010 College Physics I
–Fa
4 hours
Basic concepts of mechanics using algebra and trigonometry.
This is the first of a two course sequence intended for students
in the life sciences and pre-professional programs. Topics include
kinematics, motion in two dimensions, force and motion, torque
and rotation, work and energy, momentum, circular motion,
gravitation, oscillation, waves and fluid. Three lectures and
one two-hour laboratory per week.
Prerequisite: high school
trigonometry; or GMTH-1030 Precalculus or equivalent.
(Fee: $75)
PHYS-1020 College Physics II
–Sp
4 hours
Basic concepts of electricity, magnetism and modern physics
using algebra and trigonometry. This is the second of a two
course sequence intended for students in the life sciences and
pre-professional programs. Topics include electricity, magnetism,
circuits, and geometrical and physical optics, relativity theory,
quantum theory and nuclear physics topics. Three lectures and
one two-hour laboratory per week.
Prerequisite: PHYS-1010
College Physics I or equivalent.
(Fee: $75)
Page
292
2017–18 Undergraduate Academic Catalog
Course Descriptions
MATH-3750 – PHYS-1020
SCIENCE AND MATHEMATICS