Required of all students. A 2.0 cumulative GPA is required
in core courses, including option courses, in order to receive a degree
in the major.
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|
| CS 125 FORTRAN (4)
or |
Data types, evaluation of expressions, control statements, functions
and subroutines, interactive and file I/O. Program development, documentation,
and testing. Problem analysis and algorithm design. Applications to
numeric problems and character-processing. 4 lectures/problem-solving.
Prerequisites: MAT 105 and MAT 106 with grades of C or better, or consent
of instructor.
|
| CS 128 Introduction to C++ |
Basic concepts of computer software and programming. Data types,
expressions, control structures, functions, file and stream I/O. Use of
pointers and dynamic storage allocation. Structured and abstract data
types. Problem-solving techniques. 4 lectures/problem-solving.
Prerequisites: MAT 105 and 106 with grade of C or better, or consent of
instructor. Cannot be used for CS elective credit.
|
| MAT 116 Analytic Geometry and Calculus (4) |
Sequences and Series, L’Hospital’s Rule, Polar Coordinates,
Improper Integrals, Parametric Equations and Conic Sections. 4 lectures/problem-solving.
Prerequisite: C or better MAT 115 or consent of the instructor.
|
| MAT 201 Introduction to Numerical Methods (4) |
Numerical methods of topics from algebra and calculus. Topics will
include function evaluation and graphing, limits, summation, solving
nonlinear equations, numerical integration and differentiation and an
introduction to numerical error. 4 lectures/problem-solving. Prerequisites:
C or better in MAT 116 and CS 128 or consent of instructor.
|
| MAT 208 Introduction to Linear Algebra
(4) |
Introduction to linear transformations of the plane, vector space of
n-tuples, matrix algebra, determinants, systems of linear equations. 4 lectures/problem-solving.
Prerequisite: C or better in MAT 214 or consent of instructor.
|
| MAT 214 Calculus of Several Variables
I (3) |
Introduction to vectors, dot products, cross products, equations of
lines and planes. Calculus of Vector Valued Functions including unit
tangents, unit normals and curvature. Introduction to multivariable
functions, the Differential Calculus of Multivariable Functions, the
chain rule, applications including extreme problems and Lagrange multipliers.
3 lectures/problem-solving. Prerequisite: C or better in MAT 116 or
consent of instructor.
|
| MAT 215 Calculus of Several Variables
II (3) |
Integral Calculus of Multivariable functions, double and triple Integrals,
applications of double and triple integrals, line and surface integrals,
Green’s Theorem, Divergence Theorem, Stokes Theorem. 3 lectures/problem-solving.
Prerequisite: C or better in MAT 214 or consent of instructor.
|
| MAT 216 Differential Equations (4) |
The theory of ordinary differential equations with emphasis on the
linear case. 4 lectures/problem-solving. Prerequisite: C or better
in MAT 116 or consent of instructor.
|
| MAT 310 Basic Set Theory and Logic (4)
|
Basic set theory and logic, relations, functions, mathematical induction,
countable and uncountable sets. Emphasis on how to present and understand
mathematical proof. 4 lectures/problem-solving. Prerequisite: C or
better in MAT 116 or consent of instructor.
|
| MAT 314, 315 Intermediate Analysis (4)
(4) |
Metric spaces and continuity. Analysis of functions of a single variable.
Sequences, limits, continuity, differentiation, integration, introduction
to function spaces. 4 lectures/problem-solving. Prerequisite for MAT
314: C or better in MAT 215 and MAT 310 or consent of instructor. Prerequisite
for MAT 315: C or better in MAT 314 or consent of instructor.
|
| MAT 417, 418 Modern Algebra (4) (4)
|
Introduction to algebraic structures; groups, rings, integral domains,
fields; mappings with emphasis on morphisms. 4 lecture/problem-solving.
Prerequisite for MAT 417: C or better in MAT 310 or consent of instructor.
Prerequisite for MAT 418: C or better in MAT 417 or consent of instructor.
|
| MAT 428, 429 Functions of a Complex
Variable (4) (4) |
Algebra and geometry of complex numbers; analyticity, mappings of elementary
functions; Cauchy integral formula, Taylor and Laurent series, the residue
theorem; conformal mapping with applications. 4 lecture/problem-solving.
Prerequisite for MAT 428: C or better in MAT 314 or consent of instructor.
Prerequisite for MAT 429: C or better in MAT 428 or consent of instructor.
|
| STA 241 (previously STA 330) Applied Probability Theory (4) |
Rules of probability, random variables, expected values of random variables,
distribution of functions of a random variable. Discrete and continuous
probability distributions with applications. Descriptive statistics,
central limit theorem and estimation. 4 lectures/problem-solving. Prerequisite: C or better in MAT
116 or Mat 131 or consent of instructor. Not
open to students with credit in STA 315 or ECE 315.
|
| STA 341 (previously STA 331) Applied Statistics (4) |
Joint distribution, central limit theorem. Maximum likelihood estimation.
Point and interval estimation, hypothesis testing. Small and large
sample inferences. Contingency table analysis and Chi-square tests.
Linear regression and correlation. Use of computer package for
applied problems. 4 lectures/problem-solving. Prerequisite: C or better in STA
241 or
consent of instructor.
|
*A 2.0 cumulative GPA is required in core courses including
option courses for the major in order to receive a degree in this major.
