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B.A. in Mathematics
Students must complete or demonstrate the following before declaring a major in Mathematics:
The Bachelor of Arts degree in Mathematics provides students with a foundation in mathematics and statistics, preparing them for a wide range of career and educational opportunities.
Summary of Requirements
Required pre-major course 4 hours
MAT 130: Three hours count toward the general studies requirement, replacing GSR 104
To be taken during freshman year:
This course emphasizes the meaning and application of the concepts of functions. It covers polynomial, rational, exponential, logarithmic and trigonometric functions and their graphs, trigonometric identities. Passing both MAT 125 and 126 is equivalent to passing MAT 130.
Prerequisites: A grade of C or above in MAT 055 or the equivalent, a satisfactory score on appropriate placement exam, or permission of the Mathematics Program Director.
Required mathematics courses 39-42 hours
MAT 451: EDU 648 may be substituted for MAT 451.
Limit processes, including the concepts of limits, continuity, differentiation, the natural logarithm and exponential functions, and integration of functions. Applications to physical problems will be discussed.
Prerequisite: A grade of C or better in either MAT 126 or MAT 130.
Applications of integration, inverse functions, and hyperbolic functions. Techniques of integration, sequences, series of numbers and functions, and Taylor series.
Prerequisite: A grade of C of better in MAT 150.
Vectors, partial derivatives, multiple integrals, line integrals, Green's Theorem, the Divergence Theorem, and Stokes Theorem. Applications to physical problems will be given.
Prerequisite: A grade of C or better in MAT 205.
A study of functional principles and proof techniques. Topics will include statements, consequence, proof, sufficient and necessary conditions, contraposition, induction, sets, relations, functions, cardinality, divisibility, prime numbers, congruence, Fermat's Theorem, counting principles, permutations, variations, combinations, binomial coefficients, graphs, planar and directed graphs, and graph coloring.
Prerequisite: A grade of C or better in MAT150
This course covers the fundamental concepts of vector spaces, linear transformations, systems of linear equations, and matrix algebra from a theoretical and a practical point of view. Results will be illustrated by mathematical and physical examples. Important algebraic (e.g., determinants and eigenvalues), geometric (e.g., orthogonality and the Spectral Theorem), and computational (e.g., Gauss elimination and matrix factorization) aspects will be studied.
Prerequisite: MAT 205 or permission of the Mathematics Program Director.
This course is the first part of a two-semester sequence with MAT 314, with a focus on basic probability. It covers descriptive statistics, sample spaces and events, axioms of probability, counting techniques, conditional probability and independence, distribution of discrete and continuous random variables, joint distributions, and the central limit theorem.
Prerequisites: MAT 205
This course is the second part of a two-semester course sequence with MAT 313, with a focus on applied statistics. It covers basic statistical concepts, graphical displays of data, sampling distribution models, hypothesis testing, and confidence intervals. A statistical software package is used.
Prerequisite: MAT 313
Ordinary differential equations of first-order and first-degree, high order linear ordinary differential equations with constant coefficients, and properties of solutions.
Prerequisites: MAT 206, 307
A survey of Euclidean, non-Euclidean, and other geometries. The emphasis will be on formal axiomatic systems.
Prerequisite: MAT 150, 210; or permission of the instructor
An axiomatic treatment of groups, rings, and fields that bridges the gap between concrete examples and abstraction of concepts to general cases.
Prerequisite: MAT 206, 210, 307, or permission of the Mathematics Program Director.
This course will help students prepare for their future careers. Students may choose to either work in the classroom with a mathematics instructor, for example as in-class tutors or teaching assistants, or work for an external organization under the supervision of a professional from the organization and a Gallaudet instructor. Students should consult with their academic advisors and the mathematics program internship coordinator to inquire about internship opportunities. Whether students work on or off-campus, their internship experience must consist of a minimum of 110 hours and be related to mathematics. External internships must be approved by the mathematics program internship coordinator and meet Gallaudet Career Education and Professional Development Office requirements.
Mathematics major and permission of the instructor.
This course is the first part of a two-semester course sequence with MAT 456. This course covers a theoretical approach to calculus of functions of one and several variables. Limits, continuity, differentiability, Reimann integrability, sequences, series, and contour integration.
Prerequisites: MAT 206, 210, 307
This course is for STM majors who are in their last year of the program. Students will produce two major products: (1) a grant proposal to a national or private agency and (2)interdisciplinary group project. In addition, students will discuss future career plans, examine contributions of different deaf scientists to science, and engage in discussions on science ethics and science literacy.
Prerequisites: Permission of the instructor and senior standing
Elective mathematics courses 6 hours
Choose from the following:
A survey of the history of mathematics from antiquity through modern times.
Prerequisite: MAT 205.
A study of properties of integer numbers. Divisibility of integers, primes and greatest common divisors, congruencies, Euclidean algorithm, Euler Phi-function, quadratic reciprocity and integer solutions to basic equations, Diophantine equations, and applications to cryptography and primality testing.
Prerequisite: MAT 210
This is an introductory course in cryptography. It covers classical cryptosystems, Shannon's perfect secrecy, block ciphers and the advanced encryption standard, RSA cryptosystem and factoring integers, public-key cryptography and discrete logarithms, and linear and differential cryptanalysis.
Prerequisites: MAT 130 and MAT 140; or MAT 150; or permission of the instructor.
This course covers linear programming, the simplex algorithm, duality theory and sensitive analysis, network analysis, transportation, assignment, game theory, inventory theory, and queuing theory.
Prerequisites: MAT 140, or MAT 150; or permission of the instructor
Numerical differentiation, integration, interpolation, approximation of data, approximation of functions, iterative methods of solving nonlinear equations, and numerical solutions of ordinary and partial differential equations.
Prerequisites: ITS 110 or the equivalent; MAT 206; or permission of the department chair
This course covers statistical techniques with applications to the type of problems encountered in real-world situations. These topics include categorical data analysis, simple linear regression, multiple regression, and analysis of variance. A statistical software package is used.
Prerequisite: A grade of B or above in MAT 314; or permission of the instructor.
This is an introductory course in complex analysis. The algebra of complex numbers, analytic functions, contour integration, Cauchy integral formula, theory of residues and poles, and Taylor and Laurent series.
Prerequisite: MAT 206 and MAT 210, or permission of the instructor
This course is the second part of a two-semester course sequence with MAT 455. This course covers a theoretical approach to calculus of functions of one and several variables. Limits, continuity, differentiability, Reimann integrability, sequences, series, and contour integration.
Prerequisite: MAT 455
Special topics in the discipline, designed primarily for seniors who are majors or minors. Students may enroll in 495 Special Topics multiple times, as long as the topics differ.
Prerequisite: Permission of the department chair
Demonstrate competence in discussing mathematical and statistical concepts in writing and in American Sign Language.
The employment of Insurance professionals is expected to grow by a 19% rate from 2019-2029, with an average annual salary of $111,030. Learn more about career opportunities in the business and financial industries.
The employment of Statisticians is expected to grow by a 33% rate from 2019-2029, with an average annual salary of $93,290.
Learn more about career opportunities as a statistician.
The employment of Operations Research Analysts is expected to grow by a 25% rate from 2019-2029, with an average annual salary of $86,200.
Learn more about career opportunities as an operations research analyst.
The employment of Math occupations is expected to grow by a 27% rate from 2019-2029, with an average annual salary of $93,170.
Learn more about career opportunities in mathematics-based careers.
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