COMPUTER SCIENCE
(CPSC)
25112521 (MATH/STAT
25112521). Seminar Foundations
of theoretical mathematics and computer science. Introduction to proofs
from: mathematical logic, set theory, relations and functions, Boolean
algebra, and switching circuits. Students will be expected to present independent
written work to the class orally for criticism and discussion. Meets twice
per week. Prerequisites: Grade of 'C' or better in MATH
1070 and PHIL 1040 and grade of "C" or better in CPSC
2511 (for CPSC
2521). (22)
3040. (MATH 3040)
Numerical Analysis Methods
of numerical computation emphasizing solutions via the digital computer.
Prerequisites: Grade of "C" or better in MATH 2080
and a working knowledge of some programming language. Corequisite: MATH
2530. (3)
MATHEMATICS (MATH)
0960DV.
PreAlgebra Review Offered
each semester. Review of single operations on integers, fractions and decimals;
exponentials; simple factorizations; linear equations; geometric problems
involving area and perimeter of basic figures. This course may be required
for those students whose math score on the SAT or ACT or the Xavier Mathematics
Placement Test is below the acceptable level. Upon completion, the student
must enroll in MATH 0981DV. (NonDegree Credit)
(3)
0981DV.
Algebra Review Offered
each semester. Review of high school algebra. Operations with algebraic
expressions and fractions; factoring; exponentials and radicals; solving
equations and inequalities; graphing; basic analytic geometry. This courses
may be required for those students whose math score on the SAT or ACT or
the Xavier Mathematics Placement Test is below the acceptable level. Also,
students placed in MATH 0960DV must complete that course
before entering this course. (NonDegree Credit) (4)
1010.
Principles of Modern Mathematics
Offered
each semester. Survey of mathematics: topics in college algebra for nontechnical
majors. Prerequisite: Completion of all developmental mathematics deficiencies.
(3)
1015
 College Algebra for Elementary Education Majors
 Offered every semester. Algebra of elementary functions and relations
to their graphs. Applications and the use of technology are incorporated
in this course. Prerequisite: Completion of all developmental mathematics
deficiencies. (3)
1020.* (STAT
2010)  Statistical Methods I) Basic Statistics I Offered
each semester. Descriptive statistics, probability and statistical inference.
Prerequisite: Completion of all developmental mathematics deficiencies.
(3)
*Students may not receive
credit for both MATH 1020 ( STAT 2010)
and ECON 2070.
1030.
PreCalculus Offered
each semester. Unified college algebra and trigonometry. Elementary functions
and relations with their graphs. Prerequisite: Completion of all developmental
mathematics deficiencies. (4)
1070.
Introductory Calculus 
Offered each semester. The derivative and integral with their principal
interpretations and interrelationships; simple techniques of differentiation
and integration; numerical integration; applications of differentiation
and integration. The use of technology is integrated in this course. Prerequisite:
Grade of "C" or better in MATH 1030 or advanced placement
by test score or permission of chairperson. (4)
1070HN.
Introductory Calculus Offered
fall semester. Open to selected students only. Students must complete all
work in MATH 1070 concurrently and participate in 10
additional meetings in the semester. Prerequisite: Grade of "A" in MATH
1030 or advanced placement by test score or permission of chairperson.
(4)
2015
 Geometry for Elementary Education Majors  Understanding
and applying geometric relationships and problem solving in to and three
dimensions. Prerequisite: MATH 1015. (3)
2025
 Finite Mathematics for Elementary Education Majors  Elementary
sets and operations, introduction to combinatorics, elementary graph theory,
solving systems of linear equations, introduction to matrices, linear programming,
and applications. Prerequisite: MATH 1015. (3)
2030.
Elementary Linear Algebra Offered
each semester. Systems of equations, matrices, determinants, vector spaces,
eigenvalues, linear mappings, etc. Corequisite: MATH 1070.
Prerequisite: Grade of "C" or higher in MATH 1030.
MATH 2511 & 2521 ARE STRONGLY
RECOMMENDED AS PREPARATION FOR THIS COURSE. (3)
2040.
(STAT 2020  Statistical Methods II) Basic Statistics II
Offered
spring semester. Hypothesis testing of population means, proportions, etc.
Contingency tables, goodnessoffit, analysis of variance, nonparametric
statistics. Introduction of computer packages to analyze data. Prerequisite:
Grade of "C" or higher in MATH 1020 (or STAT
2010 ) or ECON
2070. (3)
2050.
Discrete Mathematics Offered
each semester. Elementary counting principles, algebraic counting techniques
and generating functions, topics in graph theory, topics in coding theory.
Corequisite: MATH 1070. Prerequisite: Grade of "C"
or higher in MATH 1030. MATH 2511
& 2521 ARE STRONGLY RECOMMENDED AS PREPARATION
FOR THIS COURSE. (3)
2070. Calculus
II. Offered each semester.
Continuation of techniques of integration; applications; improper integrals;
infinite series. Topics in analytic geometry; polar coordinates and parametric
equations. The use of technology is integrated in this course. Prerequisite:
Grade of "C" or better in MATH 1070. (4)
2070HN.
Calculus II Offered
spring semester. Open to selected students only. Students must complete
all work in MATH 2070 concurrently and participate
in 10 additional meetings in the semester. Prerequisite: Grade of "A" in
MATH 1070 or advanced placement by test score or permission
of chairperson. (4)
2080. Calculus
III. Offered each
semester. Geometry of three dimensions; realvalued functions of several
variables; partial differentiation; multiple integration. Vector analysis;
line integrals and surface integrals. The use of technology is integrated
in this course. Prerequisite: Grade of "C" or better in MATH
2070. (4)
2150LB
(STAT 2150LB) Statistics Technology Lab  Offered
every spring semester. Problemsolving in statistics using appropriate
statistical software. Prerequisite: Grade of "C" or higher in STAT
2010 (MATH 1020) or ECON
2070. (1)
2160LB
Mathematics Technology Lab  Offered
every spring semester. Solution of complex mathematical problems using
appropriate computer software. Prerequisite: Grade of "C" or higher in
MATH 1070 (1)
2511.
(CPSC/STAT 2511) Seminar I  Offered
every semester. Basic foundations of theoretical mathematics and computer
science. Introduction to proofs from mathematical logic and set theory.
Students will be expected to present independent written work to the class
for criticism and discussion. Meets twice per week. Prerequisites: Grade
of "C" or higher in MATH 1070 and PHIL
2040. (2)
2521.
(CPSC/STAT 2521) Seminar II 
Offered every semester. Foundations of mathematics and computer science.
Introduction to proofs from relations and functions and Boolean algebra.
Students will be expected to present independent written work to the class
for criticism and discussion. Meets twice per week. Prerequisites: Grade
of "C" or higher in 2511. (2)
2530.
Differential Equations Offered
each semester. Usual methods of solving ordinary differential equations;
introduction to the general theory. Prerequisite: Grade of "C" or higher
in MATH 2070. (3)
3010 (STAT
3010) Biostatistics
Applications of descriptive and inferential statistics to health science
disciplines. Introduction of specialized techniques used in biomedical
sciences. Prerequisites: Grade "C" or better in STAT 2020 or MATH
2040 or ECON
2070 or permission of the instructor. (3)
3040.
(CPSC 3040) Numerical Analysis 
Methods of numerical computation. Error analysis, solutions of equations,
interpolation and polynomial approximation, least squares approximation,
numerical differentiation and integration, numerical solution to differential
equations.. Corequisite: MATH 2530. Prerequisites:
Grade of "C" or better in MATH 2080 and working knowledge
of some programming language (3)
3051.
(STAT 3051) Mathematical Probability and Statistics I 
Offered fall semester. Introduction to concepts of probability and random
variables. Discrete and continuous distributions with applications. Algebra
of expectations. Covariance and correlation of two random variables. Corequisite:
MATH 2080. MATH 2511 & 2521
ARE STRONGLY RECOMMENDED AS PREPARATION FOR THIS COURSE. (3)
3061.
(STAT 3061) Mathematical Probability and Statistics II

Offered spring semester. Purpose and nature of sampling, particularly from
normal populations. Chisquare, t, and F distributions. Formulating and
testing statistical hypotheses, point and interval estimation. Prerequisite:
Grade of "C" or higher in MATH 3051 (or STAT 3051).
(3)
3110.
Applied Mathematics Offered
spring semester. Applications of different topics in mathematics with emphasis
on modeling techniques. Prerequisites: Grade of "C" or higher in MATH
2030 and MATH 2530. MATH 2511
& 2521 ARE STRONGLY RECOMMENDED AS PREPARATION
FOR THIS COURSE. (3)
3750.
Complex Variables and Applications
Offered
every other spring semester. Theory and application of complex numbers,
complex mappings, analytic and holomorphic functions. Prerequisite: MATH
2080 with a grade of "C" or better. (3)
4010.
Modern Geometry Elementary
foundations of geometry from a rigorous point of view, concepts in advanced
Euclidean, projective, and nonEuclidean geometry. Prerequisites: Grade
of "C" or higher in MATH 2070 and MATH
2521 or permission of instructor. (3)
4030.
History of Mathematics  A
general survey of the main trends in the development of mathematics from
ancient times to the present. The cultural and social contexts of mathematical
activity will be studied along with the classic problems. Prerequisites:
Grade of "C" or higher in MATH 2080 and MATH
4010. (3)
4050.
Advanced Calculus I 
Offered every fall semester.
Real number system; Sequences  their limit, BolzanoWeistrass Theorem;
Limits of functions; Continuous functions, uniform continuity. Prerequisites:
Grade of "C" or higher in MATH 2080 and MATH
2521 or permission of instructor. (3)
4060.
Advanced Calculus II 
Offered every spring semester.
Differentiation, RiemannStieltjes integration; Sequences of functions
 uniform convergence, Infinite series. Prerequisites: Grade of "C" or
higher in MATH 4050 or permission of instructor. (3)
4070.
Introduction to Topology
Offered
every other spring semester. Topology of the line and plane; abstract topological
spaces; continuous functions on topological spaces; metric and normed spaces;
separation axioms; compactness; product spaces. Prerequisite: MATH
4050 with a grade of "C" or better or permission of the instructor.
(3)
4090.
Modern Algebra I 
Offered every fall semester. Algebraic structures and introduction to groups
and rings. Meets thrice per week. Prerequisites: Grade of "C" or higher
in MATH 2080 and MATH 2521 or permission
of instructor. (3)
4100.
Modern Algebra II 
Offered every spring semester.
Continuation of ring theory, fields, vector spaces and modules. Prerequisites:
Grade of "C" or higher in MATH 4090 or permission of
instructor. (3)
4201,
4202, 4203. Special Topics Topics
may vary from semester to semester. May be repeated for credit when the
topic changes. Prerequisites: Permission of the instructor. (1, 2, 3)
45114521.
(STAT 45114521) Colloquium
Offered
each semester. Topic determined each semester by faculty. Independent work
by students under the guidance of a faculty member to be presented orally
and in writing to student majors and faculty. Meets once per week. Prerequisites:
A grade of "C" or higher in all MATH or STAT required courses at the 2000level
and junior or senior status. 4511 is prerequisite to 4521. (11)
4997
Mathematics Drill I 
Offered every semester. Advanced topics from the GRE Mathematics Subject
Test. Focus will be synthesis type problems from basic mathematics courses.
Prerequisite: Grade of "C" or higher in each of MATH 2080
and MATH 2530. (0)
MATH
4998 Mathematics Drill II 
Offered every semester. Advanced topics from the GRE Mathematics Subject
Test. Focus will be synthesis type problems from basic mathematics courses.
Prerequisite: Grade of "C" or higher in MATH 2030,
MATH
2050 and MATH 2521. (0)
4999.
Senior Comprehensives (0)
STATISTICS (STAT)
2010.*
(MATH 1020  Basic Statistics I) Statistical Methods I Offered
each semester. Descriptive statistics, probability and statistical inference.
Prerequisite: Completion of all developmental mathematics deficiencies.
(3)
*Students may not receive
credit for both STAT 2010 (MATH 1020) and ECON
2070.
2020
(MATH 2040  Basic Statistics II) Statistical Methods II
Offered
spring semester. Hypothesis testing of population means, proportions, etc.
Contingency tables, goodnessoffit, analysis of variance, nonparametric
statistics. Introduction of computer packages to analyze data. Prerequisite:
Grade of "C" or higher in STAT 2010 (or MATH 1020)
or ECON 2070.
(3)
2150LB
(MATH 2150LB) Statistics Technology Lab  Offered
every spring semester. Problemsolving in statistics using appropriate
statistical software. Prerequisite: Grade of "C" or higher in STAT
2010 (MATH 1020) or ECON
2070. (1)
25112521
(CPSC/MATH 25112521) Seminar 2511
offered fall semester; 2521 offered spring semester. Foundations of theoretical
mathematics and computer science. Introduction to proofs from: mathematical
logic, set theory, relations and functions, Boolean algebra, and switching
circuits. Students will be expected to present independent written work
to the class orally for criticism and discussion. Meets twice per week.
Prerequisites: Grade of "C" or higher in MATH 1070
and PHIL 2040.
Also 2511 is prerequisite to 2521. (22)
3010 (MATH
3010) Biostatistics Applications
of descriptive and inferential statistics to health science disciplines.
Introduction of specialized techniques used in biomedical sciences. Prerequisites:
Grade "C" or better in STAT 2020 or MATH
2040 or ECON
2070 or permission of the instructor. (3)
3051.
(MATH 3051) Mathematical Probability and Statistics I Offered
fall semester. Introduction to concepts of probability and random variables.
Discrete and continuous distribution with applications. Algebra of expectations.
Covariance and correlation in two random variables. Corequisite: MATH
2080. (3)
3061.
(MATH 3061) Mathematical Probability and Statistics II

Offered spring semester. Purpose and nature of sampling, particularly from
normal populations. Chisquare, t, and F distributions. Formulating and
testing statistical hypotheses, point and interval estimation. Prerequisite:
Grade of "C" or higher in STAT 3051 (or MATH 3051)
or permission of instructor. (3)
4201,
4202, 4203. Special Topics  Topics
may vary from semester to semester. May be repeated for credit when the
topic changes. Prerequisites: Permission of the instructor. (1, 2, 3)
45114521.
(MATH 45114521) Colloquium
Offered
each semester. Topic determined each semester by faculty. Independent work
by students under the guidance of a faculty member to be presented orally
and in writing to student majors and faculty. Meets once per week. Prerequisites:
A grade of "C" or higher in all MATH or STAT required courses at the 2000level
and junior or senior status. 4511 is prerequisite to 4521. (11)
4999 Senior Comprehensives (0)