## Requirements

### Statistics Minor

In a wide range of sciences, both natural and social, statistical analysis is of major importance both in conducting research and in understanding its findings. Likewise, in governmental planning and industrial management, statistical methods are a necessary tool and constitute a major application of mathematics and computing. The minor in Statistics is intended to support work in a major either in another mathematical science or in a number of other disciplines.

#### Credits

CS 125 – Computer Science I 4

MTH 111 – Calculus I and 4

MTH 112 – Calculus II 4

MTH 351 – Probability and Mathematical Statistics I 3

MTH 352 – Probability and Mathematics Statistics II 3

MTH 354 – Statistical Methodology 3

**Minimum total credits required for a minor in Statistics: 21**

## Mathematics

# MTH-198, MTH-289, MTH-398, MTH-498. Topics in Mathematics

A study of topics of special interest. It may be a continuation of intensive study of topics begun in the upper-level courses in analysis, topology, algebra, and probability. May be repeated for credit for a different topic.

Varies with topic

# MTH-84. College Preparatory Mathematics

Three creditsDesigned for students who need to review basic mathematics skills before taking MTH 94, 101, or 103. Topics include a review of arithmetic, introductory algebra, and quantitative reasoning. Only P (passed) or F (failed) grades are gives. Credits in this course will not be counted toward the graduation requirement in any degree program at Wilkes.

# MTH-94. College Algebra

Designed for students who need to review basic algebra before taking MTH-100 or MTH-150. Topics include polynomials, solution of equations and inequalities, exponents and radicals, graphing, and solution of systems of equations. Offered every fall.

# MTH-100. Precalculus

A course in advanced algebra and trigonometry designed to prepare students for calculus. Topics include functions, inverse functions, logarithms, exponentials, and trigonometry.

# MTH-101. Solving Problems Using Mathematics

An introduction to the methodology of mathematical modeling as a technique in working towards the solution to real world problems. In an effort for the non-specialist to gain an appreciation of the use of mathematics in our society, topics are selected from among the following: basic voting theory, fair division schemes, routing problems, population growth, and descriptive statistics and probability.

# MTH-103. Mathematics for Elementary School Teachers

A study of the theory of arithmetic, structure of the number systems, and other topics relevant to the teaching of mathematics in elementary schools. Offered every fall.

# MTH-104. Mathematics for Elementary School Teachers II

A continuation of MTH-103. Topics include elementary probability, statistics, and geometry. Offered every spring.

# MTH-111. Calculus I

Calculus of functions of one variable. Topics include functions, limits and continuity, derivatives and integrals. Course will focus on applying conceptual aspects of calculus to modeling and solving problems from across the sciences and engineering.

# MTH-112. Calculus II

A continuation of MTH-111. Topics include inverse functions, techniques of integration, applications of the integral, and infinite sequences and series.

# MTH-114. Calculus and Modeling for the Biological and Health Sciences

A continuation of MTH 111 for students in the biological and environmental sciences. Topics include integrals, differential equations and continuous dynamical systems, stochastic models and Markov chains, and discrete and continuous probability models. Course will focus on applying ideas from calculus to modeling and solving problems drawn from the biological and environmental sciences. Major credits cannot be granted for both MTH 112 and MTH 114.

# MTH-150. Elementary Statistics

Elementary statistical inference, with an emphasis on ideas, techniques, and applications in the life, physical, and social sciences. Topics include descriptive statistics, confidence intervals, hypothesis testing, contingency tables, multiple regression, and analysis of variance. Not open to mathematics majors or students with credit in MTH 351.

# MTH-202. Set Theory and Logic

Provides a foundation in logic and set theory for upper-level courses in mathematics and computer science. Topics include the logic and language of proofs, the axiomatic method, sets, relations, and functions. Offered every fall

# MTH-211. Introduction to Ordinary Differential Equations

First-order and linear higher order differential equations; matrices, determinants,
and systems of differential equations; numerical and power series methods of solution;
the Laplace transform. Offered every fall.

# MTH-212. Multivariable Calculus

Differential and integral calculus of real and vector valued functions. Topics include
continuity, partial differentiation, implicit functions, Taylor’s Theorem, gradient,
curl, line, surface, and multiple integrals, inverse functions, theorems of Green
and Stokes. Offered every spring.

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# MTH-214. Linear Algebra

An axiomatic approach to vector spaces, linear transformations, systems of linear equations, Eigen values, and Eigen vectors. Offered every spring.

# MTH-231. Discrete Mathematics

Designed to provide background in discrete mathematics for upper level courses in computer science. Topics include basic counting principles, introduction to recurrence relations and their application in analyzing algorithms, basic properties of graphs, trees, and networks, AND, OR, and NOT gates and designing combinatorial circuits, finite-state automata, transducers, and Turing machines. Offered every spring.

# MTH-303. The Teaching of Mathematics in Middle Level and Secondary Schools

This course deals with educational perspectives that pertain to the teaching of mathematics at the middle and secondary levels (grades 4 through 12). Topics of discussion include recommendations by the National Council for Teachers of Mathematics (NCTM) regarding instructional methods, assessment, techniques, and curricular issues. The course includes a 40-hour practicum. Offered in the fall semester of odd-numbered years.

# MTH-311. Real Analysis

A rigorous study of the topology of the real line, limits, continuity, differentiation, integration, and series of functions. Offered in the fall semester of even-numbered years.

# MTH-314. Complex Analysis

Complex functions, limit, continuity, analytic functions, power series, contour integration, Laurent expansion, singularities, and residues. Offered when demands warrants.

# MTH-331. Abstract Algebra I

A rigorous study of elementary number theory, groups, rings, and fields. Offered in the fall semester of odd-numbered years.

# MTH-343. Geometry

A study of selected topics from Euclidean and non-Euclidean geometry. Offered in the fall semester of even-number years.

# MTH-351. Probability and Mathematical Statistics I

Random variables, probability distributions, expectation and limit theorems, introduction to confidence intervals and hypotheses testing. Offered every fall.

# MTH-352. Probability and Mathematical Statistics II

Hypothesis testing, non-parametric methods, multivariate distributions, introduction to linear models. Offered in the spring semester of odd-numbered years when demand warrants.

# MTH-354. Statistical Methodology

This course emphasizes applications, using statistical computer packages, such as BMDP, SPSS, and JMP, and real data sets from a variety of fields. Topics include estimation and testing, stepwise regression, analysis of variance and covariance, design of experiments, contingency tables, and multivariate techniques, include logistic regression. Offered in the spring semester of even-numbered years when demand warrants.

# MTH-361. Partial Differential Equations

Partial differential equations and boundary value problems, inner product spaces,
orthogonal functions, eigenvalue problems, Sturm-Liouville equations, Fourier series,
Fourier transforms, Green's functions, and classical equations of engineering and
physics. Offered fall of odd years.

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# MTH-362. Advanced Calculus

Topics from advanced calculus including matrix representation of differentials and
the multivariable chain rule, vector calculus, curvilinear coordinates, tensors, change
of variables in higher dimensions, improper multiple integrals, applications of line
and surface integrals, differential forms and the general Stokes theorem, potential
theory, and Taylor's formula for functions of several variables. Offered Fall of odd
years.

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# MTH-363. Operations Research

A survey of operations research topics such as decision analysis, inventory models, queuing models, dynamic programming, network models and linear programming. Cross-listed with CS-363. Offered in the spring semester of odd-numbered years when demand warrants.

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# MTH-364. Numerical Analysis

Numerical techniques for solving equations, interpolation and function approximation, numerical integration, and differentiation, and solution of differential equations. Error analysis and applications. Cross-listed with CS-364. Offered spring of odd-numbered years.

# MTH-365. Numerical Linear Algebra

Direct and iterative methods for the solution of systems of linear equations, matrix
decompositions, computation of eigenvalues and eigenvectors, and relaxation techniques.
The theoretical basis for error analysis, including vector and matrix norms. Applications
such as least squares and finite difference methods. Offered spring semester of even-numbered
years.

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# MTH-391. Senior Seminar

Presentations and discussions of selected topics in mathematics, conducted by students and faculty.

# MTH-392. Senior Seminar

Presentations and discussions of selected topics in mathematics, conducted by students and faculty.

# MTH-397. Seminar

Presentations and discussions of selected topics.

# MTH-399. Cooperative Education

Professional cooperative education placement in a private or public organization related to the student’s academic objectives and career goals. In addition to their work experiences, students are required to submit weekly reaction papers and an academic project to a Faculty Coordinator in the student’s discipline. See the Cooperative Education section of this bulletin for placement procedures.Requirements: Sophomore standing; minimum 2.0 cumulative GPA; consent of the academic advisor; and approval of placement by the department chairperson.

# MTH-413. Functions of Several Variables

A modern treatment of the calculus of functions of several real variables. Topics include Euclidean spaces, differentiation, integration of manifolds leading to the classical theorems of Green and Stokes. Offered when demand warrants.

# MTH-432. Abstract Algebra II

A continuation of MTH-331. Polynomial rings, ideals, field extensions, and Galois Theory. Offered when demand warrants.

# MTH-442. Topology

Metric spaces, topological spaces, countability and separation axioms, compactness, connectedness, product spaces. Offered when demand warrants.

# MTH-470. Reading Course

Requirements: Senior standing in mathematics and approval of the department chairperson.

# MTH-999. Precalculus

A course in advanced algebra and trigonometry designed to prepare students for calculus. Topics include functions, inverse functions, logarithms, exponentials, and trigonometry.