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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
Concentration or Minor
Free Elective Courses
Required pre-major course 4 credits
MAT 130: Three hours count toward the Core Curriculum
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.
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 33-36 credits
*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.
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.
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.
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.
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.
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.
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.
Ordinary differential equations of first-order and first-degree, high order linear ordinary differential equations with constant coefficients, and properties of solutions.
MAT 206 and 307
An axiomatic treatment of groups, rings, and fields that bridges the gap between concrete examples and abstraction of concepts to general cases.
MAT 206, 210, and 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 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.
Permission of the instructor and senior standing
Elective mathematics courses 12 credits
Required Concentration or Minor (15-25 credit hours):
B.A. in Mathematics degree students are required to select a concentration in Cybersecurity or Data Science, or a minor from another undergraduate program at Gallaudet.
Students who plan to pursue a career as mathematics teachers should select a minor in Education.
Double majors students are not required to select a concentration or a minor.
Students who select a concentration in cybersecurity are not allowed to select a minor in IT.
Students who select a concentration in data science are not allowed to select a minor in data science.
Students should consult with their academic advisors to select a concentration or a minor that is directly related to their future plans.
Choose from the following:
A survey of the history of mathematics from antiquity through modern times.
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.
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.
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.
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.
ITS 110 or the equivalent; MAT 206; or permission of the department chair
A survey of Euclidean, non-Euclidean, and other geometries. The emphasis will be on formal axiomatic systems.
MAT 150 and 210; or permission of the instructor
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.
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.
MAT 206 and MAT 210, or 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.
MAT 206, 210, and 307
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.
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.
Permission of the department chair
Concentration in Cybersecurity 21 credits
Required Concentration in Cybersecurity courses 15 credits
This course introduces fundamental concepts of computer programming. Students learn program logic, flow charting, and problem solving through analysis, development, basic debugging and testing procedures. Topics include variables, expressions, data types, functions, decisions, loops, and arrays. Students will use the knowledge and skills gained throughout this course to develop a variety of simple programs.
Pre- or co-requisite: MAT 130 or permission of instructor.
This course covers fundamental concepts of computer operating systems. It provides the theory and technical information on popular operating systems, such as Windows, Mac OS, and UNIX/Linux platforms. Topics include operating system theory, installation, upgrading, configuring (operating system and hardware), file systems, security, hardware options, and storage, as well as resource sharing, network connectivity, maintenance, and troubleshooting. Through a hands-on approach, students will develop skills to install, configure, and troubleshoot operating systems.
A grade of B or better in ITS 105; or permission of the instructor.
This course provides a comprehensive coverage of networking hardware, operating systems, topologies, protocols, design, implementation, security, and troubleshooting; along with research and communication skills necessary to succeed in the dynamic field of computer networking. Through hands-on approach, students will learn fundamental and vendor-independent networking concepts and develop the skills to build a network from scratch and to maintain, upgrade, and troubleshoot an existing network.
ITS 203 with a grade of B or better, or permission of the instructor
This course provides the foundation for understanding the key issues associated with protecting information assets, determining the levels of protection and response to security incidents, and designing a consistent, reasonable information security system, with appropriate intrusion detection and reporting features. Students will be exposed to a spectrum of security activities, methods, methodologies, and procedures. Coverage will include inspection and protection of information assets, detection of and reaction to threats to information assets, and examination of pre-and post-incident procedures, technical and managerial responses, and an overview of the information security planning and staffing functions.
ITS 231 with a grade of ”C+” or better, permission of the instructor
This is an introductory course in cryptography for computer security. It covers classical cryptosystems, block ciphers and the advanced encryption standard, public-key cryptography, RSA cryptosystem, key establishment protocols, identification and entity authentication, and key management technique.
ITS 261 and MAT 140; or permission of the instructor.
Elective Concentration in Cybersecurity courses 6 credits
The course analyzes the protocols involved in cybersecurity investigations, and provides a thorough grounding in the principles required to assume the role of a cybersecurity investigator and to be familiar with the evidentiary concepts surrounding the legal proceedings of digital evidence. The course will focus on both hands-on digital forensic experience using open-source digital forensics tools and case law that covers electronic discovery, privacy, and cybersecurity considerations. In this course, the student not only gains experience using digital forensics tools but also will learn about legal precedents that discusses the ''why'' behind the ''how''.
ITS 261 or permission of the instructor
This course covers information security issues in corporate environments. The focus is on the threat environment, security policy and planning, cryptography, secure networks, access control, firewalls, host hardening, application security, data protection, incident response, networking and review of TCP/IP. Hands-on lab activities will be used to reinforce concepts and to provide experience in handling suspected security breaches.
Senior standing and permission of the instructor
Concentration in Data Science 18 credits
Required Concentration in Data Science courses 9 credits
This course is an introductory class that aims to show the students the main
problems and methods of data science with a minimal mathematical
background. The course covers basic data science concepts and algorithms
with an emphasis in real-life applications and gaining a broad understanding of
GSR 104 or MAT 125 or MAT 130
Ever wondered how companies like Amazon know more about you? Ever wondered how weather data is represented in the news? Using interdisciplinary concepts, we will learn how to tackle big data. Complex data sets are being generated continuously. Many questions arise as to what these data are telling us. Are we missing something? How do we look for signals in these large datasets? Using computer programs like Excel and R programming we will learn how to manage, sort and represent these data. Students will be encouraged to identify a data set related to a real world problem and use the tools learned in class to tell their stories.
Elective concentration in data science courses 9 credits
This course introduces students to the use of computer software and computer programming for data exploration, modeling of natural systems (from biology, chemistry, or physics), information visualization, and instrument/robot control. This is done through independent research where students work in groups to design and pursue computational projects and then critically analyze, interpret and present their findings.
Modern day biology has generated massive amounts of data but very few experts to analyze this data. A course in Genomics and Bioinformatics will teach students how to use computer algorithms to analyze the data. Students learn applications of genomics to biomedical and biological research by performing computational exercises using databases. Topics include genome sequencing gene prediction, genetic variation, sequence database searching, multiple sequence alignment, evolutionary tree construction, protein structure prediction, proteomic analysis, interaction networks and use of genome browsers among other topics.
The course introduces students to ArcGIS Online, an online Geographic Information System (GIS) application from Esri. With GIS, the student can explore, visualize, and analyze data; create 2D maps and 3D scenes with several layers of data to visualize multiple data sets at once; and share work to an online portal. GIS analytics tools are used in many disciplines and fields of practice including public health, history, sociology, political science, business, biology, international development, and information technology. In the end of the course, students will have the opportunity to take additional training on GIS applications in their specific field of interest.
Permission of instructor. This section is designed for Graduate students.
This course will introduce the concepts, theories, and applications of biostatistics to biological, medical, and public health research. It will cover descriptive statistics, concepts of probabilities and distributions, graphical methods, comparisons of two variables, central limit theorem, sampling variability, confidence intervals, and hypothesis testing.
MAT 102 or MAT 125 or MAT 130
Demonstrate competence in discussing mathematical and statistical concepts in writing and in American Sign Language.
Demonstrate an understanding of the analytical foundations of the core fields of Algebra, Calculus, Geometry, and Statistics.
Demonstrate competence in the computational techniques of Calculus, Statistics, and Linear Algebra, including through the use of software.
Demonstrate an understanding of the fields of Mathematics and Statistics by exploring their applications, history, importance in reproducible and rigorous quantitative research, ethical decisions, and career opportunities.
Demonstrate an understanding of the importance of the collection, analysis, and interpretation of data and of evidence-based decision-making for questions of personal wellness choices, civic discourse within communities, and/or public policies.
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