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ABOUTACADEMICSADMISSIONSTUDENT LIFEATHLETICSALUMNAERIDINGNEWSGIVINGDIRECTORY
 

Mathematics Programs

Students in the mathematical programs analyze and solve problems in a variety of environments while improving and extending their logical skills. Major programs may be elected which emphasize abstract or applied mathematics.

A student may earn either a Bachelor of Arts or a Bachelor of Science degree in mathematics. Interdepartmental majors are offered in mathematical economics and mathematics-physics. Students interested in any of these majors are encouraged to consult the department chair for advising assistance.

Note: No more than two 300-level courses may be double-counted for a mathematics major and a statistics minor. No 300-level course may be double-counted for a mathematics minor and a statistics minor.

 

The Mathematics Major
The Mathematics Minor
Teacher Licensure
Course Descriptions

 

The Mathematics Major (B.A.)
(44 semester hours)

Required:
CSCI 188     (4)    Java Programming I
MATH 123    (4)    Calculus I
MATH 124    (3)    Calculus II
MATH 223    (3)    Calculus III
MATH 232    (3)    Linear Algebra
MATH 318    (3)    Mathematical Proofs
MATH 323    (3)    Sequences and Series
MATH 333    (3)    Algebraic Structures

Senior Exercise:
MATH 452    (3)    Senior Seminar

Choose 1 of the following courses:
MATH 424    (3)    Advanced Calculus
MATH 434    (3)    Topics in Abstract Algebra

Choose 3 additional three-credit courses in mathematics  at the 300-level or above. BIOL 320 may be used toward this requirement.

And choose 1 three-credit course in statistics.

Note: Either MATH 304 or MATH 306 will satisfy both the statistics requirement and a 300-level mathematics course requirement.

The Mathematics Major (B.S.)
(60-61 semester hours)

Required:
CHEM 131    (4)    General Chemistry
CHEM 141    (1)    General Chemistry Laboratory
CSCI 188      (4)    Java Programming I
MATH 123    (4)    Calculus I
MATH 124    (3)    Calculus II
MATH 223    (3)    Calculus III
MATH 232    (3)    Linear Algebra
MATH 318    (3)    Mathematical Proofs
MATH 323    (3)    Sequences and Series
MATH 333    (3)    Algebraic Structures
PHYS 171    (4)    General Physics I

Senior Exercise:
MATH 452    (3)    Senior Seminar


Choose 1 of the following options:

Option A:
CHEM 252    (4)    Introduction to Quantitative and Inorganic Chemistry
CHEM 253    (1)    Introduction to Quantitative and Inorganic Chemistry Laboratory

Option B:
PHYS 132    (1)    General Physics II Laboratory
PHYS 172    (3)     General Physics II

Choose 1 of the following courses:
MATH 304    (3)    Mathematical Statistics
MATH 306    (3)    Applied Linear Regression
MATH 315    (3)    Biostatistics

Choose 1 of the following courses:
MATH 424    (3)    Advanced Calculus
MATH 434    (3)    Topics in Abstract Algebra

And choose 4 additional three-credit  courses in mathematics at the 300-level or above. BIOL 320 may be used toward this requirement.



The Mathematics Minor
(20 semester hours)

Required:
CSCI 188    (4)    Java Programming I
MATH 123    (4)    Calculus I
MATH 124    (3)    Calculus II

Choose 1 of the following courses:
MATH 223    (3)    Calculus III
MATH 232    (3)    Linear Algebra

Choose 1 three-credit course in mathematical science at 300-level or above. BIOL 320 may be used for this requirement.

And choose BIOL 320 (if not used above) or one additional three-credit course in mathematics excluding MATH 113, MATH 211, and MATH 213.



Teacher Licensure
Students seeking teacher licensure in secondary mathematics must include MATH 310 and MATH 333 in their major program. In addition, one course in statistics (MATH 106, MATH 205, or MATH 304) must be included in the major program.


Course Descriptions

CSCI 188

Java Programming I
CR: 
4.0
An introduction to computer science and objectoriented programming Java. Topics include data types and Java packages through collections and class design and implementation. Structured programming, object-oriented design, and the testing of programs will be stressed, emphasizing platform independent application development.

MATH 106

Statistical Reasoning
CR: 
3.0

Prerequisite: Not open to students who have received credit for MATH 205. An introduction to concepts and methods of data analysis. Graphical and numerical description of data. Normal distributions, confidence intervals, significance tests, correlation and linear regression. Use of statistical reasoning in such areas as opinion polling, government surveys, health risk assessment, behavioral research. III.Q

MATH 113

Precalculus
CR: 
3.0

Prerequisite: Not open to students who have received credit for MATH 123. A study of the polynomial, absolute value, logarithmic, exponential, and trigonometric functions and their graphs. III.Q

MATH 123

Calculus I
CR: 
4.0

Limits, differentiation and integration of polynomials and trigonometric functions. Applications of calculus including graphing, related rates and max-min problems. This course includes a three-hour laboratory session. III.Q

MATH 124

Calculus II
CR: 
4.0

Prerequisite: MATH 123. Applications of calculus to area and volume problems, the exponential and logarithm functions, techniques of integration, sequences and series of real numbers. III.Q

MATH 205

Applied Statistics
CR: 
3.0

Prerequisite or co-requisite: MATH 113, MATH 123, or BUSN 127; not open to students who have received credit for MATH 106. An introduction to data analysis and statistics. Descriptive statistics, random variables and their distributions, independence, sampling distributions, confidence intervals, hypothesis testing and linear regression. Applications in science, social sciences and economics. III.Q

MATH 211

Fundamental Mathematics I
CR: 
3.0

Prerequisite: Not open to first-year students. A course for prospective elementary teachers covering the methods of instruction of mathematics and emphasizing a hands-on approach. Topics include number systems, elementary number theory, ratio, proportion, and percent.

MATH 213

Fundamental Mathematics II
CR: 
3.0

Prerequisite: Not open to first-year students. A course for prospective elementary teachers covering the methods of instruction of mathematics and emphasizing a hands-on approach. Topics include mathematical reasoning, geometry, and probability and statistics.

MATH 223

Calculus III
CR: 
3.0

Prerequisite: MATH 124. Topics in analytic geometry in two- and three-dimensional euclidean space, functions of several variables, partial differentiation, gradients, and multiple integration. III.Q.

MATH 232

Linear Algebra
CR: 
3.0

Prerequisite: MATH 124. A study of linear systems, matrices and matrix algebra, determinants, vector spaces, and linear transformations; includes applications to Euclidean n-dimensional spaces as well as theory of abstract vector spaces.

MATH 261

Directed study
CR: 
3.0

Prerequisites: One MATH course and permission of the instructor. The study of introductory level material by an individual student or by a small group of students under the immediate supervision of a faculty member.

MATH 303

Probability
CR: 
3.0

Prerequisite: MATH 223. Permutations and combinations, discrete and continuous distributions of several random variables, independence, and conditional probability, expectation, variance, the Central Limit Theorem. Offered alternate years.

MATH 304

Mathematical Statistics
CR: 
3.0

Prerequisite: MATH 303. Theory of statistical inference with applications: estimation, testing of hypotheses, linear regression, categorical data. Offered alternate years.

MATH 306

Applied Linear Regression
CR: 
3.0

Prerequisite: MATH 205, MATH 304, or PSYC 219. A study of linear statistical models. Multiple regression, selection of variables, residual analysis, and model building.

MATH 310

Modern Geometry
CR: 
3.0

Prerequisite: MATH 124. Topics in Euclidean and non-Euclidean geometry, particularly geometry on a sphere. Students in this course deepen their understanding of geometry and the nature of geometric proof through discussion, discovery, and writing. Offered alternate years. III.O, III.W

MATH 315

Biostatistics
CR: 
3.0

Prerequisite: MATH 205 or PSYC 219. Statistics with applications in the biological sciences. Topics include the Poisson distribution, bootstrap confidence intervals, matched pairs tests, non-paramet-ric tests, sample size and power, one-way and two-way analysis of variance, and logistic regression. Offered alternate years.

MATH 318

Mathematical Proofs
CR: 
3.0

Prerequisite or co-requisite: MATH 223 or MATH 232. An introduction to constructing rigorous mathematical arguments. Topics include mathematical induction, functions, relations, modular arithmetic, introductory logic, introductory set theory, and introductory combinatorics. III.W

MATH 323

Sequences and Series
CR: 
3.0

Prerequisite: MATH 318. A rigorous study of sequences and series of real numbers and functions, developed from the axioms of the real number system and elementary point set theory.

MATH 328

Ordinary Differential Equations
CR: 
3.0

Prerequisite: MATH 124. Separation of variables, exact equations, first and second order linear equations. Solutions by power series and numerical methods, systems of equations. Applications to the physical and biological sciences. Offered alternate years. V.8a

MATH 333

Algebraic Structures
CR: 
3.0

Prerequisite: MATH 318. A rigorous study of abstract algebraic structures, focusing primarily on group theory.

MATH 336

Vector Calculus
CR: 
3.0

Prerequisite: MATH 223. This course extends the material in Calculus III, covering further topics in multidimensional calculus. It includes Green’s theorem, Stokes’ theorem and the divergence theorem, as well as calculus in spherical and cylindrical coordinates. Applications to physics are discussed. Offered alternate years.

MATH 342

Mathematical Modeling
CR: 
3.0

Prerequisites: CSCI 188 and MATH 232. Mathematical models with application to the social, life, and managerial sciences. Linear programming and one or more topics chosen from game theory, Markov chains, queuing models, networks, and graph theory. Offered alternate years.

MATH 346

Numerical Analysis
CR: 
3.0

Prerequisites: MATH 223, MATH 232, and CSCI 188. Topics chosen from the following numerical methods: computer calculations, approximation of functions, differentiation, integration, solution of ordinary differential equations, and inversion of matrices. Offered alternate years.

MATH 361

Special Study
CR: 
3.0

Prerequisites: 100-level MATH course and permission of the instructor. The study of an intermediate level topic by an individual student or by a small group of students under the immediate supervision of a faculty member.

MATH 377

Internship
CR: 
3.0

Prerequisites: Three credits in MATH and permission of the instructor and department chair. This course is graded P/CR/NC only.

MATH 424

Advanced Calculus
CR: 
3.0

Prerequisite: MATH 323. A rigorous development of the theory of calculus, including continuity, differentiation, and integration. Offered alternate years.

MATH 434

Topics in Abstract Algebra
CR: 
3.0

Prerequisite: MATH 333. A rigorous study of abstract algebraic structures, including rings, integral domains, fields, and polynomial rings. Offered alternate years.

MATH 445

Complex Analysis
CR: 
3.0

Prerequisite: MATH 223. Algebra of complex numbers, analytic functions, Cauchy-Riemann equations, Cauchy’s theorem, Taylor and Laurent expansions, calculus of residues. Offered alternate years.

MATH 452

Senior Seminar
CR: 
3.0

Prerequisite: Open to senior mathematics majors; others by permission. This seminar is the departmental senior exercise, required of all mathematics majors. Under the direction of faculty mentors, students select and research topics in order to present them to the class. Historical topics comprise one focus of the course. III.O

MATH 461

Independent Study
CR: 
3.0

Prerequisites: one 100-level MATH course, one 200-level MATH course, and permission of the instructor. Pursuit of an upper level research project determined in advance by the student in consultation with a faculty member who will act as the sponsor.