Students will gain an understanding of numerous math-related topics and develop critical skills to help them use mathematics in various environments through a mixture of problem-solving, application and fundamental theory.
MATH 211 – Discrete Mathematics
3 Credit hours
Finite math for computer science majors stressing an algorithmic approach. Topics include Boolean algebra, number base conversions, binary arithmetic, matrices and determinants, graph theory, functions, and recursion.
Prerequisite: MATH 140 or equivalent
MATH 212 – Introduction to Abstract Mathematics
3 Credit hours
Elementary logic, set theory, inductive and deductive reasoning, methods of proof, relations and orders, countable and uncountable sets. The course will emphasize the basic techniques of reading and writing proofs.
Prerequisite: MATH 211
MATH 241 – Calculus I
4 Credit hours
Limits, continuity, implicit and explicit differentiation, extrema, increasing and decreasing functions, concavity, differentials, antiderivatives, basic integration theory (Riemann sums), and integration by substitution.
Prerequisite: MATH 140 or equivalent
MATH 242 – Calculus II
4 credit hours
Differentiation and integration of logarithmic, exponential, and trigonometric functions; applications of integration including area, volume, and arc length; techniques of integration; improper integrals, infinite series; conics, parametric equations, and polar coordinates.
Prerequisite: MATH 241
MATH 353 – Linear Algebra
3 credit hours
Topics include matrices, systems of linear equations, determinants, vector spaces, inner products, linear transformations, eigen values and applications. A balance between axiomatic and computational mathematics.
Prerequisites: MATH 212 and MATH 242
One of the following courses
MATH 220 – Statistical Methods
3 credit hours
A study of applied statistics with emphasis on appropriate use of technology. Topics include probability, correlation, regression, confidence intervals, and hypothesis testing. Students may not receive credit for both MATH 220 and MATH 336. Offered fall and spring semester.
Prerequisites: MATH 102, 120, 210, or equivalent, or consent of instructor.
MATH 332 – College Geometry
3 credit hours
Basic concepts in Euclidean and non-Euclidean geometry, geometric transformations, and applications. Designed primarily for prospective mathematics teachers.
Introduction to Abstract Mathematics is a prerequisite
Prerequisites: MATH 212 and MATH 242
MATH 335 – Differential Equations
4 credit hours
First- and second-order methods for ordinary differential equations including separable, homogeneous, linear, Laplace transforms, linear systems, power series, and some applications.
Prerequisite: MATH 242
MATH 336 – Mathematical Statistics
3 credit hours
A mathematical study of probability and statistics. Course is Calculus-based and mixes theory and application.
Prerequisite: MATH 242; MATH 212 recommended
MATH 343 – Calculus III
4 credit hours
Vectors and surfaces, parametric equations and motion, functions of several variables, partial differentiation, maximum- minimum, Lagrange multipliers, multiple integration, vector fields, path integrals, Green’s Theorem, and applications.
Prerequisite: MATH 242
APCS 345 – Numerical Analysis Methods
3 credit hours
Techniques for curve fitting, interpolation, numerical differentiation and integration; solutions of equations and systems of linear equations; polynomial approximation; error analysis, statistics and eigenvectors. Emphasis on the development of mathematical algorithms and data analysis techniques for solving problems encountered by engineers and scientists. Some solutions will be implemented in a programming environment such as MATLAB or C/C++.
College Physics I is a prerequisite
Prerequisites: MATH 241 and APCS 201
MATH 354 – Abstract Algebra
3 credit hours
Elementary group theory and ring theory, fundamental isomorphism theorems, ideals, quotient rings, integral domains, real and complex numbers, factorization and zeros of polynomials.
Introduction to Abstract Mathematics is a prerequisite
Prerequisites: MATH 212 and MATH 242; MATH 353 is also recommended
MATH 360 – Selected Topics in Mathematics
3 credit hours
Various advanced mathematical topics can be studied depending on student and faculty interests. Topics will be different from those in courses already offered and will require some proof-writing. May be repeated once for credit.
Prerequisite: MATH 212