Applied Mathematics Major

7077
Bachelor of Science
Classroom
No
Undergraduate
Main Campus - Melbourne
Major Code: 7077 Degree Awarded: Bachelor of Science
Age Restriction: N Admission status: undergraduate
Delivery Mode/s: classroom only Location/s: main campus

During the first two years, applied mathematics majors share many courses with other students. The applied mathematics major includes courses with extensive theoretical content, as well as applied courses from related departments, to meet the needs of students in the 21st century. Students can choose electives that will enable them to apply mathematics to engineering, the physical sciences, biological sciences, environmental studies, social sciences and business applications. Mathematics graduates who have successfully completed the program are prepared to pursue graduate work or take their place in industry along with engineers and scientists.

Degree Requirements
Mathematics (37 credit hours)
Complete:
  • MTH 1001 Calculus 1
    Credit Hours: 4
    Functions and graphs, limits and continuity, derivatives of algebraic and trigonometric functions, chain rule; applications to maxima and minima, and to related rates. Exponential logarithmic, circular and hyperbolic functions: their inverses, derivatives and integrals.
    Requirement(s):
    High school algebra and trigonometry, and a passing score on the placement test, or prerequisite course
  • MTH 1002 Calculus 2
    Credit Hours: 4
    Integration and applications of integration, further techniques of integration, improper integrals, limits, l'Hospital's rule, sequences and series, numerical methods, polar coordinates and introductory differential equations.
  • MTH 2001 Calculus 3
    Credit Hours: 4
    Cylindrical and spherical coordinates, vectors, functions of several variables, partial derivatives and extrema, multiple integral, vector integral calculus.
  • MTH 2051 Discrete Mathematics
    Credit Hours: 3
    Formulation of precise definitions and their negations using propositional and predicate logic; argument analysis and proof techniques including induction; number theory; and sets, relations, functions, directed graphs and elementary counting arguments.
    Requirement(s):
    Passing score on placement test or prerequisite course
  • MTH 2201 Differential Equations/Linear Algebra
    Credit Hours: 4
    First-order differential equations, linear differential equations with constant coefficients, first-order systems of differential equations with constant coefficients, numerical methods, Laplace transforms, series solutions, algebraic systems of equations, matrices, determinants, vector spaces, eigenvalues and eigenvectors.
  • MTH 2401 Probability and Statistics
    Credit Hours: 3
    Random variables, expectations, sampling and estimation of parameters, normal and other distributions and central-limit theorem, tests of hypothesis, linear regression and design experiments.
  • MTH 3102 Introduction to Linear Algebra
    Credit Hours: 3
    Includes vectors and matrices, linear equations, vector spaces and subspaces, orthogonality, determinants, eigenvalues and eigenvectors, and linear transformations. Introduces students to solution and manipulation of matrix equations using a standard package of mathematical software.
  • MTH 4101 Introductory Analysis
    Credit Hours: 3
    Rigorous treatment of calculus. Includes sequences and series of real numbers, limits of functions, topology of the real line, continuous functions, uniform continuity, differentiation, Riemann integration, sequences and series of functions, Taylor's theorem; uniform convergence and Fourier series.
  • MTH 4201 Models in Applied Mathematics
    (or MTH 4202 Stochastic Modeling available Fall 2016)
    Credit Hours: 3
    Allows students to formulate and construct mathematical models that are useful in engineering, physical sciences, biological sciences, environmental studies and social sciences.
  • MTH 4311 Numerical Analysis
    Credit Hours: 3
    Introduces numerical methods for solving equations in one variable, polynomial approximation, interpolation, numerical differentiation and integration, initial-value problems for ODE and direct methods for solving linear systems.
  • MTH 4990 Undergraduate Research
    Credit Hours: 3
    Participation in a research project under the direction of a faculty member.
    Requirement(s):
    Instructor approval
Computer Science (9 credit hours)
Complete:
  • CSE 1502 Introduction to Software Development With C++
    Credit Hours: 3
    Focuses on the stages of software development and practice in using C++. Includes requirement analysis, design and implementation methods, testing procedures and an introduction to certifying program correctness.
    Requirement(s):
    For majors other than computer science. CS majors may only use as Free Elective.
  • CSE 1503 Introduction to Software Development With FORTRAN
    Credit Hours: 3
    Focuses on the stages of software development and practice in using Fortran. Includes requirement analysis, design and implementation methods, testing procedures and an introduction to certifying program correctness.
    Requirement(s):
    For majors other than computer science. CS majors may only use as Free Elective.
  • CSE 2050 Programming in a Second Language
    Credit Hours: 3
    Introduces a second programming language for computer science majors. Students learn to read and write programs in a second language. The language chosen is one with wide popularity and use. The current language is C++.
    Requirement(s):
    Instructor approval or prerequisite course
Communication and Humanities Core (16 credit hours)
Complete:
  • ASC 1000 University Experience
    Credit Hours: 1
    Helps first-year students adjust to the university and acquire essential academic survival skills (classroom behavior, academic honesty, study skills, etc.) that enhance academic and social integration into college.
  • COM 1101 Composition and Rhetoric
    Credit Hours: 3
    The first of two courses in college-level writing skills. Focuses on writing essays using various rhetorical modes: persuasion, description, comparison and analysis. Presents basic methods of library research, as well as the MLA documentation system. Students write one research paper and several essays.
    Requirement(s):
    Passing grade on placement exam or prerequisite course
  • COM 1102 Writing About Literature
    Credit Hours: 3
    The second of two courses in college-level writing skills. Focuses on reading and analyzing poems, plays and short works of fiction. Students write several essays and one research paper on literary topics.
  • COM 2223 Scientific and Technical Communication
    Credit Hours: 3
    Practice in the technical and scientific writing style and format, including gathering and using data to prepare reports. Includes abstracts, reports, letters, technical descriptions, proposals and at least two oral presentations.
  • HUM 2051 Civilization 1: Ancient Through Medieval
    Credit Hours: 3
    Introduces civilization from its early development to the European Renaissance. Emphasizes the interpretation of primary texts that reflect the intellectual and historical changes in society. The first of two interdisciplinary courses.
  • Humanities Core Course Credit Hours: 3
Science (18 credit hours)
Complete:
  • CHM 1101 General Chemistry 1
    Credit Hours: 4
    Covers fundamental principles of modern chemistry, including stoichiometry, properties of gases, liquids and solids, thermochemistry, atomic structure, properties of solutions and equilibrium. Includes lab component.
  • CHM 1102 General Chemistry 2
    Credit Hours: 4
    Continues . Covers acids and bases, thermodynamics, electrochemistry, kinetics, descriptive chemistry of metals and nonmetals, coordination chemistry, nuclear chemistry. Introduces organic chemistry. Includes lab component.
  • PHY 1001 Physics 1
    Credit Hours: 4
    Includes vectors; mechanics of particles; Newton's laws of motion; work, energy and power; impulse and momentum; conservation laws; mechanics of rigid bodies, rotation, equilibrium; fluids, heat and thermodynamics; and periodic motion.
  • PHY 2002 Physics 2
    Credit Hours: 4
    Includes electricity and magnetism, Coulomb's law, electric fields, potential capacitance, resistance, DC circuits, magnetic fields, fields due to currents, induction, magnetic properties; and wave motion, vibration and sound, interference and diffraction.
  • PHY 2091 Physics Laboratory 1
    Credit Hours: 1
    Experiments to elucidate concepts and relationships presented in , to develop understanding of the inductive approach and the significance of a physical measurement, and to provide some practice in experimental techniques and methods.
  • PHY 2092 Physics Laboratory 2
    Credit Hours: 1
    Continues . Includes experiments pertaining to .
Electives (42 credit hours)
Complete:
  • Applied Area Credit Hours: 9
  • Free Electives Credit Hours: 6
  • Humanities Credit Hours: 3
  • Liberal Arts Credit Hours: 3
  • Restricted Electives (MTH) Credit Hours: 9
  • Social Science Credit Hours: 3
  • Technical Electives Credit Hours: 9
Total Credits Required: 122

Note: Upper-division mathematics courses may be offered in alternate years. Positioning of electives is unrestricted.

Elective Restrictions

Choices of electives are subject to approval by the student's advisor. Mathematics electives must include at least one proof-based course in addition to the required courses in discrete mathematics and analysis. Examples of suitable courses include Introduction to Combinatorics and Graph Theory (MTH 3051), Number Theory (MTH 3401), Abstract Algebra (MTH 4051), Topology (MTH 4105) and Advanced Geometry (MTH 4801).

Applied area electives must be taken from a single area of application. Typically, this means from a single department or program other than mathematics. Any science or engineering program can be chosen. Suitably chosen management courses (courses with mathematics prerequisites) can also be taken. At least 30 elective credits must be at the 3000-level (or higher).