Requirements

Major/Minor

The mathematics major offers students a wide range of courses leading to opportunities in education, statistics, computer science, and applied and theoretical fields.

Major Requirements:
• Mathematics 230, 251 or 261, 262, 270, 245, 299, 311, 421, 441, 460 and 480;
• Computer Science 140 or 155;
• Three additional elective Mathematics courses Mathematics 280 or above;
• Successful completion of departmental exit examination;

A minimum of eighteen hours must be completed at Dominican.
Please consult your Mathematics advisor for specific recommendations for elective Mathematics courses based on area of specialization or career interest.
Majors in mathematics may elect to earn the Bachelor of Science degree or the Bachelor of Arts degree. All requirements are the same for both degrees.

Minor Requirements
• Mathematics 251 or 261, 262
• Ten semester hours elective Mathematics courses 200 level or above excluding Mathematics 299. At least one elective must be at the 300 level.

A minimum of nine semester hours must be completed at Dominican.
Please consult your Mathematics advisor for additional recommendations for Mathematics minors based on the major that is selected.

Courses

090. BASIC SKILLS IN MATHEMATICS (3)
The fundamental operations with integers, rational numbers and real numbers; basic algebra. This course is offered on a satisfactory/fail basis only.
Prerequisite: Placement through examination only
This course is a developmental course and will not count toward the semester hours required for graduation.

120. INTERMEDIATE ALGEBRA (3)
Polynomial and rational expressions, solving equations, quadratic formula, applications, graphing techniques, systems of linear equations.
Prerequisite: Placement through examination or Mathematics 090
Not open to students who have completed any higher numbered mathematics course.

130. COLLEGE ALGEBRA (3)
Solving equations and inequalities with polynomial, rational, and radical expressions and absolute values. Graphing techniques. Functions. Exponential and logarithmic expressions and functions with applications.
Prerequisite: Placement through examination or Mathematics 120
Not open to students who have completed any mathematics 200 level course or above.
This course will satisfy the mathematics foundation requirement.

131. TRIGONOMETRY AND ANALYTIC GEOMETRY (3)
Trigonometric functions, identities, equations, applications, complex numbers, polar coordinates, conic sections.
Prerequisite: Mathematics 130 or equivalent
Not open to students who have completed any mathematics 200 level course or above.

150. CONTEMPORARY MATHEMATICS (3)
The study of contemporary mathematical thinking, for the non-specialist, in order to develop the capacity to engage in logical thinking and to read critically the technical information with which our contemporary society abounds.
Prerequisite: Placement through examination or Mathematics 120
This course will satisfy the mathematics foundation requirement.

160. MATHEMATICS FOR THE ELEMENTARY TEACHER (3)
An introduction to numeration systems, sets, logic, relations, number systems and geometry.
Prerequisite: Placement through examination or Mathematics 120
Students who register for this course are expected to have completed a course in geometry at the high school level.
Open only to students seeking certification in elementary education.
This course will satisfy the mathematics foundation requirement.

170. INTRODUCTION TO FINITE MATHEMATICS (3)
An elementary treatment of sets, combinatorics, probability, matrices, systems of linear equations, linear programming and related topics. Recommended particularly for those majoring in computer science, business or the social sciences. Not open to students who have completed any mathematics 200 level course or above.
Prerequisite: Placement through examination or Mathematics 120
This course will satisfy the mathematics foundation requirement.

175. MATHEMATICAL CONCEPTS IN CLINICAL SCIENCE (3)
A survey of mathematical concepts in clinical science, such as metric units, dosage calculations, concentration, pH, energy, pressure, circulatory functions, pharmokinetics.
Prerequisites: Mathematics 130, Biology 111 or 152

211. PRINCIPLES OF STATISTICS (3)
Design of experiments, numerical and graphical data description, discrete and continuous probability, expected value and variance of a random variable, probability distributions, estimation, and statistical hypothesis testing.
Prerequisite. Mathematics 130 or consent of instructor

230. LINEAR ALGEBRA (4)
A study of systems of linear equations, linear independence, matrices, linear transformations, determinants, vector spaces and applications of these topics.
Prerequisite: Mathematics 251 or 261

240. DISCRETE STRUCTURES (3)
An introduction to the mathematics needed in computer science. Logic, induction, recursion, graphs and trees, Boolean algebra, encoding and finite-state machines.
Prerequisites: Mathematics 170 or 230, and Computer Science 155 or consent of instructor

245. INTRODUCTION TO PROOF TECHNIQUES (3)
An introduction to the tools needed for higher mathematics. Topics include logic, set theory, relations, functions, basic proof techniques, and applications of proof techniques to selected areas of mathematics.
Prerequisites: Mathematics 230 or 262 or consent of instructor

250. INTRODUCTION TO CALCULUS (4)
Functions and their graphs. Limits, differentiation and application, basic integration. Fundamental Theorem of Calculus. (This course covers polynomial and rational functions only.)
Prerequisite: Mathematics 130 or placement
Not open to students who have completed Mathematics 251 or 261.

251. CALCULUS OF TRANSCENDENTAL FUNCTION (4)
Trigonometric, exponential, and logarithmic functions. Limits, differentiation and applications, and integration.
Prerequisites: Mathematics 250
Not open to students who have completed Mathematics 261.

261. ANALYTIC GEOMETRY AND CALCULUS I (4)
A study of the basic techniques of calculus with early transcendentals. Topics include limits, derivatives and applications, integration and the Fundamental Theorem of Calculus.
Prerequisite: Placement through examination, Mathematics 131, or consent of instructor
Not open to students who have completed Mathematics 251.

262. ANALYTIC GEOMETRY AND CALCULUS II (4)
Advanced integration techniques and applications such as area, volume, arc length, work. Polar coordinates. Conic sections. Sequences and infinite series.
Prerequisite: Mathematics 251 or 261

270. MULTIVARIABLE CALCULUS (4)
Functions in multiple variables. Partial differentiation, multiple integrals. Vectors.
Prerequisite: Mathematics 262

280. INTRODUCTION TO DIFFERENTIAL
EQUATIONS (3)
First and second order differential equations. Stability theory. Power series solutions. Laplace tranforms. Applications.
Prerequisites: Mathematics 270

299. SERVICE LEARNING (1)
Students provide community service using their mathematical and analytical skills for a total of thirty hours. This course can be taken only on a satisfactory/fail basis.
Prerequisite: Junior or senior standing

311. PROBABILITY AND STATISTICS I (3)
Design of experiments, axioms of probability, random variables, discrete and continuous distributions.
Prerequisite: Mathematics 262 or consent of instructor

312. PROBABILITY AND STATISTICS II (3)
Estimation theory, hypothesis testing, linear regression and correlation and analysis of variance.
Prerequisite: Mathematics 311

313. APPLIED STATISTICAL ANALYSIS USING
SAS (3)
Review of descriptive statistics, hypothesis testing and estimation, SAS programming language, DATA step applications, SAS procedures, report generation, and working with large data sets.
Prerequisite: Mathematics 312 or consent of instructor

320. DYNAMICS AND CHAOS (3)
Fundamental concepts and techniques of discrete dynamical systems, asymptotic behavior, elementary bifurcations, symbolic dynamics, chaos and fractals.
Prerequisite: Mathematics 262

330. MODERN GEOMETRY (3)
A study of Euclidean and non-Euclidean geometries, projective geometry and axiomatics.
Prerequisite: Mathematics 262

350. NUMERICAL ANALYSIS (3)
Solutions of equations by iteration, interpolation, numerical differentiation and integration and numerical solutions to linear systems.
Prerequisites: Mathematics 230, 262 and Computer Science 155, or consent of instructor

360. OPERATIONS RESEARCH (3)
Linear programming, queuing theory, decision analysis, network analysis, simulation and selected topics.
Prerequisite: Mathematics 170 or 230 or consent of instructor

370. NUMBER THEORY (3)
Prime numbers, congruencies, quadratic residues, continued fractions and selected topics.
Prerequisite: Mathematics 262

380. PARTIAL DIFFERENTIAL EQUATIONS (3)
An introductory course on partial differential equations, including the method of characteristics, separation of variables and Fourier series. Special emphasis will be placed on the wave equation, heat equation, and Laplace’s equation, with Dirichlet and Neumann boundary conditions.
Prerequisite: Mathematics 280

421. ABSTRACT ALGEBRA (3)
The elements of groups, rings, fields and other algebraic structures.
Prerequisites: Mathematics 230 and 245 and junior or senior standing

441. METHODS OF REAL ANALYSIS (3)
The real number system, limits and continuity, theory of differentiation and integration.
Prerequisites: Mathematics 245 and junior or senior standing

450. STUDIES IN MATHEMATICS (3-4)
Independent reading and/or research on special topics.

455. INTERNSHIP (3-8)
Experience in a mathematical field under the joint supervision of a college faculty member and an assigned field professional.
Prerequisites: Junior or senior standing and consent of instructor

460. HISTORY OF MATHEMATICS (3)
A study of the history of mathematics from earliest recorded time through the 17th century. Selected topics in mathematics and its applications are included.
Prerequisites: Mathematics 230 and 262

480. SENIOR CAPSTONE SEMINAR (1)
Summary and extension of core mathematical ideas covered throughout the mathematics major.
Prerequisite: Senior standing