Minors

A minor in mathematics can be a valuable qualification for students concentrating in other fields of science and engineering. Successful completion of a minor program is recognized on the transcript and with a Minor Certificate at graduation. A student wishing to pursue a minor in mathematics must complete a Minor Program Study Plan signed by the department's minor advisor. A complete description of the minor requirements is included below.

Required courses for a Minor in Mathematics:

- MA 221 Differential Equations
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations.

- MA 222 Probability and Statistics
Introduces the essentials of probability theory and elementary statistics. Lectures and assignments greatly stress the manifold applications of probability and statistics to computer science, production management, quality control, and reliability. A statistical computer package is used throughout the course for teaching and for assignments. Contents include: descriptive statistics, pictorial and tabular methods, and measures of location and of variability; sample space and events, probability axioms, and counting techniques; conditional probability and independence, and Bayes' formula; discrete random variables, distribution functions and moments, and binomial and Poisson distributions; continuous random variables, densities and moments, normal, gamma, and exponential and Weibull distributions unions; distribution of the sum and average of random samples; the Central Limit Theorem; confidence intervals for the mean and the variance; hypothesis testing and p-values, and applications for the mean; simple linear regression, and estimation of and inference about the parameters; and correlation and prediction in a regression model.

- MA 227 Multivariable Calculus
Review of matrix operations, Cramer’s rule, row reduction of matrices; inverse of a matrix, eigenvalues and eigenvectors; systems of linear algebraic equations; matrix methods for linear systems of differential equations, normal form, homogeneous constant coefficient systems, complex eigenvalues, nonhomogeneous systems, the matrix exponential; double and triple integrals; polar, cylindrical and spherical coordinates; surface and line integrals; integral theorems of Green, Gauss and Stokes.

- MA 232 Linear Algebra
This course introduces basic concepts of linear algebra from a geometric point of view. Topics include the method of Gaussian elimination to solve systems of linear equations; linear spaces and dimension; independent and dependent vectors; norms, inner product, and bases in vector spaces; determinants, eigenvalues and eigenvectors of matrices; symmetric, unitary, and normal matrices; matrix representations of linear transformations and orthogonal projections; the fundamental theorems of linear algebra; and the least-squares method and LU-decomposition. Prerequisites: Sophomore or higher class standing.

- MA 234 Complex Variables with Applications
An introduction to functions of a complex variable. The topics covered include complex numbers, analytic and harmonic functions, complex integration, Taylor and Laurent series, residue theory, and improper and trigonometric integrals.

- One elective at 300 or above chosen with the consent of the Department advisor.

The following are prerequisites needed to undertake the minor program:

- MA 115 Calculus I
An introduction to differential and integral calculus for functions of one

variable. The differential calculus includes limits, continuity, the

definition of the derivative, rules for differentiation, and applications to

curve sketching, optimization, and elementary initial value problems. The

integral calculus includes the definition of the definite integral, the

Fundamental Theorem of Calculus, techniques for finding antiderivatives, and

applications of the definite integral. Transcendental and inverse functions

are included throughout.

- MA 116 Calculus II
Continues from MA 115 with improper integrals, infinite series, Taylor series,

and Taylor polynomials. Vectors operations in 3-space, mathematical

descriptions of lines and planes, and single-variable calculus for parametric

curves. Introduction to calculus for functions of two or more variables

including graphical representations, partial derivatives, the gradient vector,

directional derivatives, applications to optimization, and double integrals in

rectangular and polar coordinates.

General requirements for minor programs in engineering or science:

- Entry to a minor program requires a minimum cumulative GPA of 2.5.
- A student wishing to pursue a minor program must complete a Minor Program Study Plan signed by a Minor Advisor from the relevant discipline. Each minor requires a separate study plan and a student can earn no more than two minors in engineering and science.
- The minor program must be in a discipline other than that of a student's major program of study. As such, minors are distinguished from options within the major discipline or concentrations within the chosen Major Program.
- The minor program will consist of a coherent sequence of at least six courses. A minimum of two courses (minimum six credits) must be in addition to those courses required to complete a student's major degree program (which includes general education courses).
- In order for a course to count towards a minor, a grade of C or above must be achieved. At the discretion of the Minor Advisor, transfer credits may be applied to a minor, but these must constitute fewer than half of those applied to the minor program.
- To receive the minor at graduation, the student must complete a Minor Candidacy Form signed by the Minor Advisor after all minor requirements are fulfilled.