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HIST 6820 - History of Indigenous Peoples
This class will examine the so-called Fourth World, the world of global indigenous peoples. What role do indigenous people play in shaping today’s world? Is there a place for these people in today’s world, and if so, whose responsibility is it to assure them of this place? This class will be divided into two basic content units: for half the class we will focus in issues that are impacting indigenous peoples today all over the world, and examine their responses. This section will address issues such as the impact of globalization on indigenous peoples, sovereignty, self-representation, and cultural revitalization. In the second half of the semester, we will be examining six different groups (one from each inhabited continent). Each of these groups will give additional insight into the problems faced in the particular region of the world.
Hours:
3
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HIST 6850 - Modern World Revolutions
This course examines in comparative terms both evolutionary theory and practice. Emphasis is placed on Asian and Latin American revolutionary traditions.
Hours:
3
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HIST 6860 - World War II
This course, conducted in a lecture format, is designed to introduce students to the political, social and religious traditions of the Indian subcontinent. It will emphasize that subcontinent’s place in world history, including its contributions to both the European and Asian world.
Hours:
3
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HIST 6870 - Asian Civilization
This course, conducted in a lecture format, is designed to introduce students to the political, social and religious traditions of Asia. It will emphasize the influence of each of Asia’s cultures upon the other and the region’s place in world history. Repeatable up to three times.
Hours:
3
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HIST 6875 - Cultr Enc & Exch in World Hist
This course will explore the nature and content of cultural exchanges throughout the course of world history, though emphasis will be placed on early modern and modern world history. The primary focus of the first half of the course will be on the Colombian Exchange, which will be used to demonstrate the dimensions of cultural contact and exchange that the remainder of the course will build upon.
Hours:
3
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HIST 6880 - Vietnam and Its Wars
This course examines the Vietnam War in the context of Vietnamese and American history.
Hours:
3
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HIST 6891 - Counter Insurgency
Police actions, savage wars of peace, irregular warfare, counter terrorism, pacification and emergencies are just some of the terms used to describe counterinsurgencies in the post World War II era. These wars have shaped the world in which we live, and have likewise helped to define the political-military landscape in the 21st century. As the United States, NATO, and other powers deal with counterinsurgency wars in Iraq, Afghanistan, and elsewhere today, this course looks at the lessons from these earlier wars and how they effect the strategic and operational choices available to today’s governments and militaries.
Hours:
3
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HIST 7000 - Thesis Research
Independent study course focused on research for the M.A. Thesis or Capstone Paper. This course cannot be a substitute for any required colloquium course or elective course in the graduate Plans of Study.
Hours:
3
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HIST 7001 - Colloquium in World History
Methods, traditions, concepts, and literature of World History. Topic varies with interest of instructor. Repeatable up to three times.
Hours:
3
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HIST 7002 - Colloquium in European History
This course will cover some of the outstanding issues and major works in European history since the era of the French Revolution. Repeatable up to three times.
Hours:
3
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HIST 7003 - Colloquium in American History
This course introduces graduate students to the literature and major themes of American history. Repeatable up to three times.
Hours:
3
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HIST 7004 - Colloquium in Military History
This course will explore military adaptations that have been the result of changing circumstances and modern developments. Repeatable up to three times.
Hours:
3
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HIST 7190 - Independent Study/US History
Examines selected topics in U.S. history using primary documents.
Hours:
3
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HIST 7300 - Masters Thesis
Independent study focused on writing the M.A. Thesis.
Hours:
6
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HIST 7500 - Teaching History
This course examines different aspects of teaching history, from how to put together a syllabus, to what makes for a good lecture, to stimulating discussion, or how to incorporate novels and films into teaching history. Other issues will naturally arise and will be treated according to class interests and time available.
Hours:
3
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HIST 7700 - Capstone Seminar in History
This course is a capstone seminar in history, designed to bring together key events, trends, themes, and methods of looking at the past.
Hours:
3
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HIST 7800 - Indep Stdy in World History
A directed-readings course that examines selected topics in world history. Topics will be chosen by the Instructor.
Hours:
3
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HIST 7804 - Indep Stdy in Military History
A directed readings course that examines selected topics in military history. Topics will be chosen by the Instructor.
Hours:
3
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HIST 7805 - Readings Mod Wld Hist pre-1900
A directed readings course that examines selected topics in world history prior to 1900. Topics will be chosen by the Instructor.
Hours:
3
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HIST 7810 - Read/Res Mod World Since 1900
This course is designed to enable students to gain a better grasp of the goals and insights sought by historians of modern world history and pursue original research that may further prepare them as teachers as well as scholars in this field.
Hours:
3
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HLTH 6100 - Healthcare Policy, Finance, and Regulation
Students are introduced to basic knowledge of healthcare policy, finance, and regulation including healthcare trends. Analytic thinking methods are incorporated to evaluate legislative and regulatory processes pertinent to the provision of consumer health services and the impact of reform, health policy and healthcare delivery. Concepts of access, justice, resource management, and affordability are addressed.
Prerequisite/Corequisite:
Prerequisite: Acceptance to Doctorate of Nursing Practice program
Hours:
3
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HLTH 6200 - Compliance in the Healthcare Industry
A growing array of federal, state, and local laws and regulations affect the ways in which healthcare professionals and organizations go about their business. The draconian consequences of noncompliance with those rules and regulations make it increasingly important that compliance receive constant and rigorous attention. This course will introduce students to those rules and regulations and equip them with the knowledge necessary to devise compliance strategies and plans. In addition, they will learn how to respond to claims of violations.
Prerequisite/Corequisite:
Prerequisite: Acceptance to Doctorate of Nursing Practice program
Hours:
3
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HLTH 6303 - Introduction to Global Health Issues
Studies health issues on a global scale. Investigates differences in health status and determinants of health across nations, as well as variations in health between and within countries.
Prerequisite/Corequisite:
Prerequisite: Acceptance to Doctorate of Nursing Practice program
Hours:
3
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HLTH 6403 - Healthcare Information Systems Implementation and Administration
Covers all aspects of healthcare clinical information system implementation and administration. Includes vendor selection, implementation planning, system customization, configuration and testing, user training, and regulatory compliance. This course incorporates tools and strategies healthcare leaders can use to influence the use of technology, data, and information to improve healthcare safety, quality, efficiency, and patient outcomes.
Prerequisite/Corequisite:
Prerequisite: Acceptance to Doctorate of Nursing Practice program
Hours:
3
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HLTH 7100 - Healthcare Finance and Reimbursement
This course is intended to serve as an introduction to the major components of healthcare finance, accounting, and reimbursement. In our current healthcare delivery model, the healthcare administrator needs to be more adept in managing not only the financial end of the facility but also the reimbursement end that is the feeder to those income transactions. It has shown to be important for the aspiring healthcare administrator to possess a fundamental understanding of medical finance and reimbursement if they are to secure their first position. It is equally important if one is seeking advancement in their current healthcare entity.
Prerequisite/Corequisite:
Prerequisite: Acceptance to Doctorate of Nursing Practice program
Hours:
3
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HLTH 7200 - Approaches to Healthcare Risk Management
Today’s leaders face a radically changing health care environment. This course seeks to convey a broad foundational understanding of the major concerns of risk that influence the delivery of healthcare in the United States. It will explore the current state of the health care industry. It will also describe the importance of working cooperatively with multiple sectors of the industry to reduce risk factors. A set of case studies, told from the viewpoint of the patient, will illustrate common situations that led to irreparable patient harm. Students will gain valuable insight into the world of medical errors and an understanding of strategies aimed at the avoidance of risk laden environments.
Prerequisite/Corequisite:
Prerequisite: Acceptance to Doctorate of Nursing Practice program
Hours:
3
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HSDA 5100 - Generalist Approaches to Human Services Practice
This course provides a graduate-level survey of generalist approaches to the field of human services within the family of social science professions. This course provides a broad orientation to the field of human services professions, geared toward students who enter our MS program from a range of academic disciplines and with varying levels of experiences in human services settings. As such, it gives students a common foundation for the rest of the program, including a broad grounding in the history of the field, service learning practice, case management, policy, and theory.
Hours:
3
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HSDA 5110 - Advanced Topics in Diversity and Social Justice
This course provides students with an in depth knowledge of the historical context of diversity and social justice and their relationship to human services delivery systems, with a focus on oppression and privilege as manifested in societal systems and forces that influence their development and continuation. Special emphasis will be placed on understanding the diversity of the populations served. We will acknowledge and explore the statuses and conditions that promote or limit human functioning. Topics covered include: socioeconomic class, racial and ethnic inequality, sex, gender, sexual orientation, religious differences, physical and mental disabilities, chemical dependencies, aging, and delinquency/crime.
Hours:
3
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HSDA 5120 - Advanced Human Services Practice with Individuals and Groups
This course focuses on the theory of human development with an emphasis on developing applied skills for working with individuals and groups. Topics include: interpersonal communication skills and professional strategies; the relationship of interpersonal systems to larger systems, as well as family and group structures and dynamics; group facilitation, change, communication and leadership skills within the group process. Special emphasis is given to understanding a variety of cultural factors (including nationality, religion, spirituality, gender, race, etc.) as they relate to developing a working relationship between the human service helper and clients. The course includes a weekly lab.
Hours:
4
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HSDA 5140 - Advanced Human Services Practice with Communities
This course examines the relationship between community, location, and society in the provision of human services. Special emphasis is placed upon community planning, organization, and activism for social change. Students will study the practice of human services provided within the complex relations of local and community development processes. Special emphasis is placed upon developing applied skills, specifically in the areas of communication, community organization, local and global activism, and community based research and assessment.
Hours:
3
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HSDA 5150 - Advanced Organization of Human Service Delivery
This course is designed to provide the advanced knowledge and skills to administer various human service organizations including non-profit organization and government agencies. It focuses on the study of the theoretical foundations as well as administrative aspects of human service delivery system. Topics for inquiry include organizational management, supervision, legal issues, risk management, recruiting and managing volunteer, constituency building, and other advocacy techniques. As a part of this course, students will be asked to work with community organizations and help develop (or modify) strategic organizational plans. This provides insight into how community organizations structure, organize and run their company.
Hours:
3
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HSDA 5170 - Legal and Ethical Issues in Human Services Practice with Organizations
This course uses a multidisciplinary approach to study the role of ethical and moral principles in everyday situations faced by those involved in health, policy, administration and other areas of bureaucratic responsibility within the field of human services. The course will also examine legal issues, such as professional boundaries, confidentiality, informed consent, conflicts of interest, among others.
Hours:
3
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HSDA 5180 - Research Methods in the Human Services
This course provides a graduate-level survey of research methodologies commonly utilized in the human services. The purpose of the course is for development of student knowledge in the conduct of nomothetic research projects including problem formulation, experimental and quasi-experimental group research designs, scientific inference, internal and external validity, operationalization and measurement, and a critical analysis of published examples of human services research. Nomothetic research principles of creating (context of discovery), testing (context of justification), and applying scientific knowledge in a human service practice context will be presented.
Hours:
4
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HSDA 5190 - Advanced Program Planning, Evaluation, and Funding
This course provides students with graduate level tools and understanding of the strategic planning process, program evaluation, and resource development to prepare them for management level positions and to be effective leaders in nonprofit agencies.
Hours:
3
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HSDA 5200 - HSDA Services Learning Placement
5200 is the first of two Service Learning courses. Students will work with the course instructor to integrate prior skills and knowledge through experiential learning and to increasingly integrate the experience with personal research and personal and societal values surrounding important issues and problems in Human Services Delivery and Administration. Students are expected to complete 175 hours of Service Learning hours at a single designated agency during the semester. Service learning courses must be taken sequentially. Course grading will be Satisfactory/Unsatisfactory.
Hours:
3
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HSDA 6000 - Special Topics: International Human Services
This course provides an integrated interdisciplinary approach to analyzing and addressing global/international human service and social issues needs and provides students with the necessary skills to work with globally diverse populations.
Hours:
3
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HSDA 6100 - Contexts of Aging
This course focuses on the conditions that promote or limit human functioning within the context of the life course. Particular emphasis is placed on the historical, cultural, psychological physiological, biological and social contexts of aging across the life course.
Hours:
3
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HSDA 6120 - Advanced Resource Planning for Aging Population
In this course students will examine the services available for older adults. Content includes theoretical and practical issues, advocacy, barrier to services, as well as exposure to opportunities for service and employment. This course also offers a survey of current resources for an aging population, including the family, private, local, state, and federal programs, with a focus on multicultural impacts and advocacy.
Hours:
3
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HSDA 6130 - Grief, Loss, & End-of-Life Decisions
In the course students will learn about helping families cope with decision making in old age, including advance directives (health care surrogates, proxies, power of attorney for health care), health care decision making, hospice care, and other issues (i.e. living alone, driving, finances). Special emphasis is placed on lifespan development and the final stages of death and dying.
Hours:
3
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-
HSDA 6140 - Qualitative Research Methods
In this course students will learn advanced techniques for qualitative research design, particularly as it relates to program planning and evaluation.
Hours:
3
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HSDA 6200 - HSDA Service Learning Placement
This course involves the practical application of knowledge and experiences gained in HSDA 5200. Students will work with the course instructor to integrate prior skills and knowledge through experiential learning. Students are expected to complete 175 hours of Service Learning hours at a single designated agency during the semester. Service learning courses must be taken sequentially. Course grading will be Satisfactory/Unsatisfactory.
Hours:
3
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HSDA 6250 - Administrative and Organizational Issues
This course is designed to provide the theoretical foundation as well as knowledge and skills to prepare students to pursue administrative roles in various human service organizations including non-profit organization and government agencies. Topics for inquiry include organizational management, supervision, legal issues, risk management, recruiting and managing volunteers, constituency building, and other advocacy techniques.
Hours:
3
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-
HSDA 6300 - Research Internship in Human Services
This course is designed to present the student an advanced-level view of the public and private sectors when it comes to the administration of human services.
Hours:
2
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-
ISCI 6101 - Advanced Integrated Science
This is a content-specific course for teachers that will encompass the concepts required for successful delivery and assessment of the Georgia Performance Standards for grades 6-12 Science. The scientific content to be covered will be in an individualized, modular format based on areas of identified science content weaknesses. Specifically, this content will be centered around the following topics: Habits of Mind, The Nature of Science, Force and Motion, Energy and Its Transformations, Atoms and Elements, Molecules and Compounds, Bonding and Chemical Reactions and how these topics relate to the Life and Earth Sciences.
Hours:
3
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ISCI 6500 - Chemistry for Teachers
This inquiry-based content and laboratory course is designed specifically for high school and middle grades teachers. Lectures are given on the basics of teaching chemistry and recent advances in the field. Corresponding activities are presented using ‘Kemtec’ Micro-Scale labs and large-scale demonstrations. Activities are tied to the Georgia Professional Standards and the National Science Education Standards. Teachers will analyze the concepts and models of chemistry with emphasis on computational skills.
Hours:
4
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ISCI 6501 - Physical Science for Teachers
This is an integrated math and physics course with special emphasis on Physical Science courses taught at the middle school level. The assigned work will include the GPS standards for K-8 Physical Science as well as the Carnegie Unit Physical Science course now being offered in some middle schools. Some of the topics covered in this class will include: The Scientific Method, the SI system of measurement, Atoms, The Periodic Table, Elements, Compounds, Mixtures, Chemical Bonding, Solutions, Newton’s Laws of Motion, Energy and Energy Transformations, Work, Power, The Kinetic Theory of Matter, Wave Behavior, Sound, Light, Electricity, and Magnetism.
Hours:
4
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ISCI 6502 - Astronomy & Earth Science for Teachers
This inquiry-based content and laboratory course is designed specifically for K-8 teachers. Lectures are given on the basics of teaching geology, earth science and astronomy. Corresponding activities are presented using rocks, minerals, stream tables, weather instruments and astronomy tools. Activities are tied to the Georgia Performance Standards and the National Science Education Standards. Teachers will analyze the concepts and models of earth science with emphasis on concept development.
Hours:
4
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-
ISCI 6503 - Life Science & Natural History for Teachers
This is a life science course for K-8 teachers with special emphasis on ecology, biomes, classification, phylogenetic trees, evolution and natural selection. This course will include a study of the biosphere, biochemistry, genetics, evolutionary biology and basic biological processes. Special emphasis will be made on the standards relevant to the middle grades classroom.
Hours:
4
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LART 6001 - Trends and Practices in Reading Education
This course is a survey and critical study of the recent research, changes, and innovative approaches in the field of reading. Current methods and practices in the teaching of reading will be examined with emphasis on classroom organization of developmental reading.
Hours:
3
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-
LART 6002 - Assessment in Literacy Instruction
The general topic of this course is assessment in literacy instruction including informal and formal reading assessments and the use of assessment in planning instruction.
Hours:
3
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-
LART 6003 - Materials and Reading
This course will provide for an examination of leading basal readers with manuals and skill texts. Phonics materials, audio visual, games, and various commercial materials will be studied as to effectiveness and adaptability. Materials for a whole language program will be examined. Laboratory time for teacher made materials.
Hours:
3
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LART 6004 - Literacy and Diversity
In this course, students will examine ways to adapt a literacy classroom to meet the needs of diverse learners. The course will address the following elements: the kinds of student diversity in classrooms related to literacy, literacy developmental stages, the essentials of a differentiated and balanced literacy program in the 21st century, scaffolding for literacy instruction, success for all students, multicultural children’s literature, instruction in reading, writing, and oral language in elementary schools, and related research findings and learning theories.
Prerequisite/Corequisite:
Prerequisites: LART 6001, LART 6002, and LART 6003, all with grades of C or higher
Hours:
3
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LART 6080 - Integrating Curr Child Lit
This course involves the reading & evaluation of books for children, either at the elem. or middle school levels. A primary emphasis of the course is the integration of children’s lit. with the content areas of science, math, social studies, and language arts in the curriculum.
Hours:
3
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LART 6190 - Pre-Adolescent Literature
This course examines various types of literature written specifically for the middle school child or young adolescent. Discussed in the course are the characteristics of pre-adolescent literature in general, characteristics of various genre, evaluative criteria for judging quality literature, and teaching methods and strategies appropriate for the pre-adolescent student.
Hours:
3
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-
LART 6200 - The Teaching of Reading
This course provides for an intensive study of reading skills. The role of readiness, vocabulary development, and word recognition as each is related to comprehension will be studied.
Hours:
3
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-
LART 6300 - Teaching Reading Content Area
This course provides for a study of objectives and methods for teaching comprehension, vocabulary, study skills, and critical reading in the content areas. Attention is given to remedial and enrichment techniques for secondary students.
Hours:
3
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LART 6340 - Methods in Teaching Composition
This course provides for a study of the objectives and methods for teaching oral and written composition in grades P-8. Instructional methods as they relate to the processes of developing prewriting skills, utilizing varying modes of discourse, revising and editing compositions, and writing across the curriculum will be emphasized. This course also includes a computer component in which the skills needed to integrate work processing within the composition curriculum will be taught.
Hours:
3
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LART 6360 - Methods in Teaching Language Arts
This course provides students with an extensive knowledge of the methods and materials for teaching language arts. Students in this course will have an opportunity to experience, research, and practice a variety of methods related to the teaching of reading, handwriting, spelling, oral and written expression.
Hours:
3
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LART 6501 - Found of Read Instruction
This survey course addresses reading using a developmental stage approach. Participants learn about reading development (characteristics, assessment, and instruction) from the most emergent stage through adulthood. In addition, course participants learn about literacy from a multitude of perspectives - historical perspectives, second language learners, and students with reading disabilities. Educators will gain practical knowledge to help them understand the literacy level of all students.
Hours:
3
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LART 7140 - Creative Communicative Arts
This course examines receptive and expressive language, emphasizing listening, speaking, and nonverbal communication skills; the integration of content areas in concert with writing and reading; the role of archetypal symbols in myth, legend and story; and multicultural oral tradition as told through story, song, rhythm, movement, and drama.
Hours:
3
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LART 7210 - Diag of Reading Disabilities
This is an advanced course dealing with the causes of reading disability and methods for diagnosis both in the classroom and in the special reading program. Emphasis will be placed on preparing the classroom teacher for a role of a diagnostician of students with reading disabilities.
Hours:
3
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LART 7220 - Remed of Reading Disabilities
This is an advanced course dealing with the correction and remediation of reading disabilities. Emphasis will be placed on the study of a variety of remedial strategies, materials needed for a program of remediation, and management of the remedial program. Pre-requisites: LART 6200 and LART 7210
Prerequisite/Corequisite:
LART 6200 with C or greater and LART 7210 with C or greater
Hours:
3
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LART 7320 - Practicum Dev/Rem Reading
This course provides for supervised practice of diagnosis and remediation of disabled readers within a public school setting, or regular classroom teaching of reading using a variety of approaches, or experience in working with a reading specialist under college supervision.
Hours:
3
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LART 7340 - Teach Read/Writ in Sec/Mid Sch
This course provides students with knowledge of the methods and materials for teaching reading and writing in the middle/secondary content areas. Students in this course will have an opportunity to experience, research, and practice a variety of methods related to the development of vocabulary and comprehension within their content area classrooms. Strategies and activities that enable the classroom teacher to develop instruction that integrates reading, writing, technology, and literature into content knowledge will be stressed.
Hours:
3
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LART 7360 - Teaching Reading Elem/Middle
This course provides for supervised practice of diagnosis and remediation of disabled readers within a public school setting, or regular classroom teaching of reading using a variety of approaches, or experience in working with a reading specialist under college supervision.
Hours:
3
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MAED 7050 - Pedagogical Tech Math Instruc
This course provides hands-on experiences designed to link mathematics content knowledge with instructional and assessment practices appropriate for grades 7-12.
Hours:
3
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-
MAED 7090 - Advanced Pedagogy in Sec Math
This capstone course focuses on student/practitioner demonstration of proficiency with merging mathematics content knowledge, instructional practices, and assessment techniques in the grades 7-12 mathematics classroom setting. Pre-requisite: MAED 7050
Prerequisite/Corequisite:
MAED 7050 with C or greater
Hours:
3
|
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-
MATH 5180 - Mathematics for Middle Sch Tch
An in-depth study of concepts and processes underlying the middle-grades mathematics curriculum (5-8). Includes study of the real number system with emphasis on the rational number system, set theory, number theory, and elementary probability and statistics. Problem-solving serves as a unifying strand.
Hours:
3
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-
MATH 5190 - Algebra & Geometry for Teacher
An in-depth study of concepts and processing underlying the middle and secondary school mathematics curriculum with special emphasis placed upon the integrated development of algebra, geometry, and analytical geometry. Problem solving historical contexts serve as unifying strands. This course will be constructed with a laboratory component that will be utilized to help model an interactive teaching/learning environment in which student participation will play a major role in the learning process.
Hours:
3
|
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-
MATH 6000 - Differential Equations
An introductory course in ordinary differential equations with emphasis upon linear differential equations by the methods of undetermined coefficients, variation of parameters and Laplace transforms.
Hours:
3
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-
MATH 6010 - Partial Differential Equations
Topics include power series method for solving ordinary differential equations, Fourier series and integrals, orthogonal functions and partial differential equations with boundary conditions.
Hours:
3
|
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-
MATH 6020 - Nonlinear Dynamics and Chaos
Topics include one-dimensional flows and bifurcations, Phase portraits, linearization and classification of equilibrium points, limit cycles, chaos, one-dimensional maps and fractals.
Hours:
3
|
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-
MATH 6100 - Number Systems
Topics include problem solving strategies, sets and counting, logic, numeration systems, number theory, ratio and proportion, and an introduction to plane figures.
Hours:
3
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-
MATH 6110 - Informal Geometry
Topics include plane figures, polygons and tessellations, space figures, symmetric figures, systems of measurement, area and perimeter, volume, and surface area, congruence and similarity mappings, and topological mappings. This course may not be used to fulfill the secondary mathematics teaching area requirement.
Hours:
3
|
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-
MATH 6116 - Modeling/Algebra for Teachers
This course designed for middle grades in-service teachers focuses on variables, expressions, equations, systems of equations, and linear, non-linear, and inverse functions. Emphasis is on problem solving, active learning, appropriate communication, substantive connections, technology, and multiple representations of algebraic structures. This course may not be used to fulfill the academic concentration requirement for secondary mathematics.
Hours:
3
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-
MATH 6120 - Geometry
A background in plane geometry is helpful. Topics include classifications of geometries (Euclidean, Non-Euclidean and other) and geometry related concepts outside the perspective of other mathematics courses.
Hours:
3
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-
MATH 6125 - Elem Differential Geometry
Topics include curves, surfaces, coordinate charts, differentiable manifolds, the tangent plane, the first fundamental form, the Gauss map, the second fundamental form, curvature, geodesics, the Gauss-Bonnet theorem, projections with applications to cartography.
Hours:
3
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-
MATH 6130 - Introduction to Topology
An introductory course in point set topology. Topics include topological spaces, basis, subspaces, closed sets and limit points, the product topology, connected spaces, compact spaces, countability axioms, separation axioms, Urysohn’s lemma, the Tychonoff theorem and complete metric spaces.
Hours:
3
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MATH 6140 - Prob/Statistics for Teachers
This course is designed for middle grades in-service teachers and focuses on making decisions and predictions in the context of solving real-world problems through the process of collecting, representing, processing, summarizing, analyzing, and transforming data. Also included are an individual special project and a teaching demonstration component. This course may not be used to fulfill the academic concentration requirement for graduate secondary mathematics education students. Pre-requisite: Six hours of college-level mathematics
Hours:
3
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MATH 6150 - Problem Solving & Connections
This course designed for elementary and middle grades in-service teachers focuses on recognizing, using, and learning about mathematics in the context of real-world situations and problems. Deliberate connections to the sciences, social sciences, and fine arts incorporate mathematical topics drawn from probability, discrete mathematics, algebraic and non-algebraic functions, data analysis, vectors, Markov chains, and game theory. This course may not be used to fulfill the academic concentration requirement for secondary mathematics.
Hours:
3
|
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MATH 6160 - Orthogonal Functions
A study of Fourier series and integrals. Sturm-Liouville systems, applications to solution of partial differential equations with boundary conditions.
Hours:
3
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MATH 6161 - Mathematical Reasoning
MATH 6161 is an in-depth study of concepts and processing underlying the P-8 mathematics curriculum, with special emphasis on informal and formal mathematical reasoning. The analysis and remediation of student errors manifested in the application of conceptual and procedural mathematical knowledge will also be addressed.
Hours:
3
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-
MATH 6180 - Functions of a Complex Variables
Topics include conditions for analyticity, elementary functions, the fundamental theorem of algebra, power series, residues, poles and conformal mapping.
Hours:
3
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-
MATH 6200 - Intro to Real Analysis I
An introductory course in functions of a real variable, limits, continuous functions, differentiation and Riemann integration.
Hours:
3
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-
MATH 6210 - Intro to Real Analysis II
This course is a continuation of MATH 6200. Pre-requisite: MATH 6200
Prerequisite/Corequisite:
MATH 6200 with C or greater
Hours:
3
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MATH 6300 - Statistical Reasoning and Data Analysis
A course in descriptive and inferential statistics, including an emphasis on exploratory data analysis. Topics include methods of describing univariate and bivariate data, fundamentals of probability, hypothesis testing and estimation.
Hours:
3
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MATH 6310 - Theory of Numbers
A study of elementary problems in number theory with topics from divisibility, congruences, residues, special functions, Diophantine equations and continued fractions.
Hours:
3
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MATH 6350 - Probability & Statistics I
An introductory calculus-based course in probability and statistics. Topics include descriptive statistics and linear regression, basic probability and probability distributions, point estimation, confidence intervals and hypothesis testing.
Hours:
3
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MATH 6360 - Stochastic Processes
This course is a survey of random variables with both discrete and continuous distributions; including the uniform, Bernoulli, binomial and negative binomial, geometric and hypergeometric, Poisson, normal, exponential and gamma distributions. Transformations of distributions, bivariate distributions, limit distributions, Markov chains and moment generating functions are also covered.
Hours:
3
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MATH 6400 - Probability Models
A calculus-based introduction to probability distributions and applications. Topics include discrete probability models, continuous probability models and expectation, as well as an introduction to probability-based decision- making techniques.
Hours:
3
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MATH 6450 - Probability & Statistics II
A continuation of the study of probability and statistics, emphasizing the theory of statistical inference. Topics include two-sample estimation and tests of hypothesis, analysis of variance and randomized block designs, regression analysis, correlation, transformations and multiple regression, and quality control methods.
Hours:
3
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MATH 6500 - Intro to Discrete Mathematics
An introductory course in discrete mathematics emphasizing the formulation and solution of problems which are discrete in nature. Topics include logic, sets, relations, combinatorial methods, recurrence relations, graphs and networks, directed graphs and Boolean algebras.
Hours:
3
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MATH 6505 - Computer Applications in Operations Research
A study of various problems and models in the field of operations research. Topics will include linear programming the transportation problem, the assignment problem, project scheduling, network models and queuing theory. Computer software will be available to assist students in the computational aspects of their solutions.
Prerequisite/Corequisite:
Prerequisite: MATH 6650 with a grade of C or higher
Hours:
3
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MATH 6520 - Graph Theory
An introductory course in Graph Theory. Topics include fundamental concepts and definitions, trees, distance, matchings, factors, connectivity, paths, and graph colorings. Applications of these topics will be investigated and will include the development of appropriate algorithms.
Prerequisite/Corequisite:
Prerequisite: MATH 2460 with a grade of C or higher, or approval of Department Head
Hours:
3
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MATH 6530 - Introduction to Directed Graphs
A course in Graph Theory with focus on directed graphs and their applications. Topics include fundamental concepts from directed graphs including orientations, strong digraphs, tournaments, strongly connected directed graphs, project scheduling, mutual reachability, and Network Flows. Real world scenarios modeled by these topics as well as other applications will be investigated and will include the development of appropriate algorithms.
Prerequisite/Corequisite:
Prerequisite: MATH 2460 with a grade of C or higher, or department approval
Hours:
3
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MATH 6540 - Intro to Cryptography
This course is an introduction to the mathematics used in both cryptology and cryptoanalysis. Among the topics included in the course are the difficulty of an algorithm in terms of polynomial time; number theory topics such as divisibility, greatest common divisor, the Euclidian Algorithm, prime numbers, congruence, Fermat’s little theorem, factoring, discrete logarithms; encryption schemes and the associated matrices or linear maps; perfect security, the DES algorithm; public-key encryption; digital signatures. The ability to read mathematical proofs will be expected.
Hours:
3
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MATH 6550 - Numerical Analysis
A course in numerical solutions to problems in mathematics: roots of non-linear equations, zeros of polunomials, interpolation, systems of linear algebraic equations, quadrature, ordinary differential equations with analysis of methods and errors, and programming of methods on a computer
Hours:
3
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MATH 6570 - Combinatorics
An introductory course in combinatorics. Topics include fundamental counting methods, Pigeonhole Principle, binomial coefficients, inclusion-exclusion principle, Twelvefold way, recurrence relations, generating functions. Advanced topics to be selected from Polya theory, combinatorial design, permutation statistics, Ramsey theory.
Prerequisite/Corequisite:
MATH 2800 with C or greater
Hours:
3
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MATH 6590 - Game Theory
Game Theory models will be discussed from a humanities-based decision-sciences perspective. Topics will include strategic, matrix and sequential games, optimization, Nash equilibria and strategies. Applications will include economic and strategic (military) models, the Prisoner’s Dilemma, Cournot Duopoly, bargaining an auctions. Students will develop game-theory structures for real-world phenomena and understand their applications and extensions.
Hours:
3
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MATH 6600 - Intro to Abstract Algebra I
A formal introduction to the algebra of groups, rings and fields. It is recommended that students complete MATH 2800 or MATH 6500 before enrolling in MATH 6600.
Hours:
3
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