The Applied Mathematics major allows students to implement what they have learned to other areas of study, while taking fewer math courses. Graduates in this department are in high demand and tend to receive higher starting salaries and more job offers than they expected. Employers, in any job, look for success in math and see it as a sign of strong problem-solving and critical thinking skills.
APCS 201 – Programming Fundamentals
2 Credit hours
Concepts of structured programming including control structure design – sequence, selection, iteration and method call; concepts of data abstraction including primitive data types, strings, arrays, library objects and files. Laboratory experience emphasizing application development.
Prerequisite: LDRS 105
APCS 206 – Object Oriented Programming
2 Credit hours
Concepts of object-oriented programming including the use of objects and the design of classes including inheritance. Also covers algorithm development including searching, sorting and recursion. Laboratory experience emphasizing application development.
Prerequisite: C- or higher in APCS 201
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
MATH 390 – Professional Development Seminar
2 credit hours
Readings and discussion of professional and ethical issues; preparation of an individual’s professional portfolio. Participation in a professional meeting and presentation of a paper based on original research and/or ideas encountered at the meeting. May be substituted for APCS/INDU/MATH/PHYS 357.
Same as APCS/INDU/PHYS 390
Prerequisite: Junior standing in MATH or consent of instructor
Mathematics Core plus the following
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++.
Prerequisites: MATH 241 and APCS 201
PHYS 395 – Professional Development Seminar II
1 credit hour
Continuation of professional development in a second area. Preparation of a professional portfolio; presentation of an individual research project or participation in another professional meeting and presentation of a research paper.
Will include a project applying mathematics to the second area of study
Pre/Co-requisite: APCS/INDU/MATH 390
One or more 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 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
Three of the following courses, including at least one with MATH 212 as a prerequisite
APCS 306 – Introduction to Data Science
3 credit hours
An introduction to techniques for analyzing data to gain insight, draw conclusions, and make decisions. Topics include data visualization, probability and statistics, linear regression, time series analysis, Monte Carlo simulation, data mining, and ethics. Students will also gain experience using a popular programing language for data analytics such as Python or R.
Prerequisites: APCS 206, MATH 220 or higher.
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 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
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
PHYS 211 – College Physics I
5 credit hours
Solid mechanics including kinematics, dynamics and statics; fluid mechanics, waves, periodic motion, sound and light with vector and calculus applications. Three lectures, one laboratory session, and one problem-solving session per week.
Prerequisite: MATH 241 or consent of instructor