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Math 3: Finite Mathematics
Topics and applications
in this course are selected from linear
equations and matrices, linear programming, Markov chains, game theory
and graphs. The emphasis is on applications to business and management
sciences. Prerequisite: One year each of high school algebra I, II and geometry
or equivalent, and a passing score on the Placement Exam.
Offered every semester.
Math 4: Introduction
to Probability and Statisistics
This course coverst he study of combinations and permutations,
descriptive and inferential statistics, probability and probability distributions,
hypothesis testing, regression, and correlation, along with applications
in a variety
of practical settings. This course may not be taken for credit in addition
to Business Administration 40 or Psychology 3. Prerequisite: One year each
of high school algebra I, II and geometry or equivalent, and a passing score on the Placement Exam.
Offered every fall.
Math 10: The Art and
Practice of Mathematics
A reflective examination
of basic mathematical ideas and patterns. Through participation in the
discovery and development of mathematical ideas the student will view the
subject as a vehicle for human creativity. The course traces the historical
and contemporary role of appropriate mathematical topics. Prerequisite:One
year each of high school algebra I, II and geometry or equivalent; English
5 and Collegiate Seminar 20 or 120.
Offered every semester.
Math 13-14: Calculus
with Elementary Functions I, II
Math 27: Calculus
I
Math 28: Calculus
II with Applications
Math 38: Calculus
II
Math 39: Calculus III
A survey of polynomial, trigonometric, logarithmic and exponential functions combined with differential calculus of functions of one variable and mathematical reasoning. This calculus sequence is intended for students who need to strengthen their precalculus skills. The sequence Math 13-14 is equivalent to Math 27.
Prerequisites: for Math 13: one year each of high school algebra I, II, and geometry or equivalent and a passing score on the Placement Exam. Math 13 or equivalent is prerequisite to Math 14.
Math 13 alone does not satisfy an Area B mathematics requirement.
Offered every semester.
Limits, continuity, trigonometry, mathematical induction, mathematical
reasoning, the derivative, applications of the derivative, antiderivatives,
and the integral.
Prerequisites: one year each of high school algebra I, II, geometry, and pre-calculus or equivalent, and a passing score on the Placement Exam.
Offered every semester.
This course is designed for students majoring in the life sciences, health sciences, business administration, psychology, and accounting. Topics include techniques and applications of integration, first order differential equations, functions of several variables, double integrals, and applications.
Prerequisite: Math 27 or equivalent.
Offered every semester.
This course is designed for mathematics, physics, computer science, engineering, and chemistry majors. Topics include techniques and applications of integration, infinite sequences and series, power series, polar coordinates, and inverse trigonometric functions.
Prerequisite: Math 27 or equivalent.
Offered every spring.
A rigorous treatment of
limits for functions of one and several variables, differentiation and
integration of functions of several variables, coordinate systems, vectors,
line and surface integrals, Green's, Stokes' and the Divergence Theorems.
Prerequisites: One year of high school trigonometry and Math 38 or equivalent.
Offered every fall.
Math 101: Fundamental Mathematical
Concepts II
This course is a continuation
of Math 1 and focuses on geometry and measurement, patterns, probability,
descriptive statistics. Prerequisite: one year each of high school algebra I, II
and geometry or equivalent; Math 1 or Math 27 or equivalent.
Does not satisfy the Area B math requirement.
Math 111-112: Abstract
Algebra I, II
Groups, rings, modules,
vector spaces, fields, and Galois theory. Prerequisite for Math 111: Math
29 and Math 120 or equivalent. Math 111 is prerequisite for Math 112.
Math 113: Probability
and Statistics
Discrete and continuous
random variables, expectation and variance, independence, distributions
and the Central Limit Theorems. Survey of statistical methods: estimation,
sampling, hypothetesis testing, linear regression, and confidence intervals.
Prerequisite: Math 28 or 38 or equivalent.
Math 115: Number Theory
Results studied include
the Fundamental Theorem of Arithmetic, the Euclidean Algorithm, congruences,
Fermat's Little Theorem and Euler's generalization, Diophantine equations
and the Law of Quadratic Reciprocity. Prerequisite: Math 28 or 28, or equivalent.
Math 120: Linear Algebra
with Apllications
Matrices, simultaneous linear equations, linear transformations, vector spaces, bases, determinants, eigenvectors, Gram-Schmidt orthonormalization, techniques of mathematical proof, and applications of linear algebra.
Prerequisites: Any one of these pairs: Math 27 & 28; Math 27 & 38; Math 27 & CS 21; CS 21 & CS 102, or equivalent.
Math 130: Abstract Geometry
Selection of topics with
may include projective geometry, Euclidean and affine groups and axiomatic
geometry and classical problems. Prerequisite: Math 120 or equivalent.
Math 134: Differential
Equations
Ordinary differential equations,
existence and uniqueness theorems, some numerical methods, Laplace transforms,
series solution, linear systems with constant coeffiencents. Partial differential
equations, separation of variables, Fourier series. Prerequisite: Math
39, or Math 38 and Math 120, or equivalent.
Math 140: Combinatorics
and Discrete Mathematics
This course focuses on
discrete structures and their relations. Topics may include counting techniques,
relations, graph theory, and logic. Prerequisite: Any one of these pairs:
Math 27 & 28, Math 27 & 28, Math 27 & CS 21, CS 21 &CS 102, or equivalent.
Math 150: Advanced Calculus
A rigorous review of the
theory of single variable calculus, topology of n-space, integration and
differentiation, improper integrals, differential forms, the theorems of
Stokes and Gauss. Prerequisite: Math 39 and Math 120, or equivalent.
Math 185: Complex Variables
Differentiation and integration
of analytic functions of a complex variable, power series, residues, conformal
mappings. Prerequisite: Math 39 and Math 120, or equivalent.
Math 190 Special Topics in Mathematics
An upper division mathematics course not listed above, such as Differential
Geometry, Numerical Analysis, Topology, or Real Analysis. May be repeated for credit as topics vary.
Prerequisites: vary with topics.
Math 193: Senior Seminar
An in-depth critical examination
of a topic or topics in contemporary mathematics. The course consists of
directed reading, presentations, research, and the writing of a final essay
under the supervision of the instructor. At the conclusion of the semester
students are expected to present their work at a departmental colloquium
of faculty and students.Prerequisites: Math 111 or 150 or consent of instructor. Senior or second semester Junior standing required.
Math 197 Special Study
Independent research of
topics not covered in listed courses. Permission of the chairperson
is required.
Math 199 Special Study - Honors
Independent study or research for majors with at least a B average in
mathematics. Permission of the chair is required.
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