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Other Courses |
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EDLF 7430 - Education Science Seminar
This advanced seminar in education science takes a multidisciplinary approach to theory and identification of important research questions. The seminar focuses on strengths and limitations of descriptive research, program development efforts, efficacy trials, and scale up efforts. Readings expose variation in research practice partnerships and describe educational research related to student subgroups.
Credits: 3
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EDNC 7800 - Public School Law in K-12 Education
Focuses on critical elements of school law to include due process, search and seizure, church/state conflicts, curriculum control & the expression of controversial views, school authority to make rules and policy governing student and teacher conduct, and liability for student injury. Additionally, issues of equal opportunity such as bilingual education, sexual discrimination and harassment, affirmative active, and special educ will be examined
Credits: 0
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EDNC 7801 - Leadership and Administrative Issues in K-12 Education
Content for this course includes the purposes and nature of theory in educational administration and the application of organization theory to education. Theories of leadership, organizations, decision-making, communication, climate, conflict, change process, and motivation are included.
Credits: 0
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EDNC 7802 - Instructional Issues in K-12 Education
The focus of this course is the development and design of curriculum, and the delivery of instruction to ensure academic success. The course provides key principles of effective supervision, and asks students to apply concepts involved in teaching diverse populations, developing standards-based curricula, and assessment of instructional objectives. The ISLLC Standards for School Leaders are used as framework for inquiry and decision making.
Credits: 0
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EDNC 7803 - Human Resources in K-12 Education
This course examines and promotes prospective administrators, intrapersonal understanding, interpersonal ability, and potential for effectiveness as leaders. Theory and practice relative to the staffing of schools for effective realization of educational goals and objectives will be explored. Current challenges influencing the optimization of human capital in schools will be studied and students will apply the concepts to their own settings.
Credits: 0
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EDNC 7804 - Financial Issues in K-12 Education
This course will examine the principles, processes, and responsibilities of financing public education with a focus on the leadership provided at the school level in finance. The course will have a special emphasis on budgeting procedures and accounting systems critical to the management of finances at the building level.
Credits: 0
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EDNC 7805 - Internship for K-12 Education Leaders
This course is designed to prepare individuals for positions of education leadership by exposing them to hands-on administrators. Students will be engaged in a significant number of administrative activities at the elementary, middle, and high schools levels as well as at central office and at community out-reach sites. Students will be mentored on site by licensed school administrators during their 320-hour internship.
Credits: 0
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EDNC 7806 - Practicum for K-12 Education Leaders
This course provides students with the necessary blend of theory, best practice, and authentic problems of practice in leadership. The course provides a bridge between their thought in other courses and the practicalities involved as they prepare for the administrative leadership selection process and their first leadership assignment. Students learn how to use personal assessment tools and feedback to construct Individual Development Plans.
Credits: 0
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EDNC 7807 - Special Education Module
This module will investigate the current legal, moral, and instructional impact of special education policies in the Commonwealth of Virginia and across the nation. Response to Intervention concepts will be explored in-depth.
Credits: 0
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ENAM 5840 - Contemporary African-American Literature
This course for advanced undergraduates and master’s-level graduate students surveys African-American literature today. Assignments include works by Evreett, Edward Jones, Tayari Jones, Evans, Ward, Rabateau, and Morrison
Credits: 3
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ENAM 8100 - Early American Literature
Surveys American literature to 1840 designed to introduce the literature of the Colonial and early National periods, and to examine the intellectual and literary backgrounds of nineteenth-century American literature. For more details on this class, please visit the department website at http://www.engl.virginia.edu/courses.
Credits: 3
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ENAM 8130 - Early African American Literature
Surveys pivotal moments and texts in the history of African-American prose, from 1760, the date of Briton Hammon’s Narrative of Uncommon Sufferings to 1903, the year of W. E. B. DuBois’s The Souls of Black Folk. For more details on this class, please visit the department website at http://www.engl.virginia.edu/courses.
Credits: 3
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ENAM 8300 - American Poetry of the Nineteenth Century
Studies selected poets of the century, their media, their audiences, and their reputations. Coverage will be broad, with some emphasis on Bryant, Longfellow, Lowell, Emerson, Whitman, Dickinson, and Crane. For more details on this class, please visit the department website at http://www.engl.virginia.edu/courses.
Credits: 3
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ENAM 8520 - Major American Authors
Studies the work of one or two major writers within a precise historical context. A recent pair was Hawthorne and Melville. For more details on this class, please visit the department website at http://www.engl.virginia.edu/courses.
Credits: 3
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ENAM 8540 - Studies in American Fiction
Analyzes the writings of major authors approached through the consideration of such specific topics as historical romance, Gothic romance, and American mythmaking. For more details on this class, please visit the department website at http://www.engl.virginia.edu/courses.
Credits: 3
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ENAM 9500 - Seminar in American Literature
Topics range from the colonial period to the cultural influence of pragmatism. For more details on this class, please visit the department website at http://www.engl.virginia.edu/courses.
Credits: 3
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ENAM 9910 - Research in American Literature
Modern and Contemporary Literature. For more details on this class, please visit the department website at http://www.engl.virginia.edu/courses.
Credits: 3
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ENGL 6500 - Topics in English (for teachers)
Courses in subject areas of relevant to middle and high school English teachers, each meant to provide such teachers with a sense of the state of the sub-field, with a focus on the central authors, texts, and approaches, and on challenges that might face a first-time teacher of the particular subject area.
Credits: 1
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ENGL 8993 - Independent Study
A single semester of independent study under faculty supervision for MA or PhD students in English doing intensive research on a subject not covered in the usual courses. Requires approval by a faculty member who has agreed to supervise a guided course of reading and substantial written exercise, a detailed outline of the research project, and authorization by the Director of Graduate Studies in English. Only one may be offered for Ph.D credit. For more details on this class, please visit the department website at http://www.engl.virginia.edu/courses.
Credits: 3
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ENGL 8998 - M.A. Thesis
M.A. students in English may choose to write a substantial thesis directed by a faculty member. Students opting for a thesis should draw up a proposal and secure a director to supervise the project. Students choose between a critical thesis of 10,000-15,000 words and a pedagogical thesis (described on our website). Students enroll in this three-credit course for a single semester, either fall or spring; it is not available during the summer. For more details on this class, please visit the department website at http://www.engl.virginia.edu/courses.
Credits: 3
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ENGL 8999 - Non-Topical Research, Preparation for Research
Students taking this course are expected to prepare for their M.A. oral examination and proceed with their M.A. research. For more details on this class, please visit the department website at http://www.engl.virginia.edu/graduate/current.
Credits: 1 to 12
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ENGL 9899 - Woodson Institute Fellows Pre- and Post-Doctoral Research
This is a supervised research course without formal classroom instruction.
Credits: 12
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ENGL 9995 - Dissertation Seminar
Required of students in the Department’s PhD program who are at or near the beginning of the dissertation writing process. Addresses the problems encountered by students as they begin to tackle the dissertation. For more details on this class, please visit the department website at http://www.engl.virginia.edu/courses.
Credits: 3
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ENGL 9998 - Non-Topical Research, Preparation for Doctoral Research
Students taking this course are expected to prepare for their preliminary qualifying oral examinations for the doctorate. For more details on this class, please visit the department website at http://www.engl.virginia.edu/courses.
Credits: 1 to 12
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ENGL 9999 - Non-Topical Research
For doctoral dissertation, taken under the supervision of a dissertation director. For more details on this class, please visit the department website at http://www.engl.virginia.edu/courses.
Credits: 1 to 12
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GCOM 7879 - Doing Business in India, the Middle East & Asia
This course focuses on doing business in India, the Middle East & Asia. Coursework consists of classroom instruction, corporate visits, and cultural experiences to help students better understand the global business environment and conducting business in India, the Middle East & Asia in particular.
Credits: 5
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Accounting |
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ACCT 5210 - Introductory Auditing
Examines auditing methodology through a study of auditing standards. Includes the nature of evidence, program planning, work papers, internal control evaluation, types of audit tests, and audit reports. Prerequisite: ACCT 3120.
Credits: 3
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ACCT 5250 - Advanced Auditing
Builds on the concepts and practice examples from introductory auditing to provide students with an in-depth understanding of professional standards, the audit process, advanced audit techniques, and the auditor’s role in ensuring that publicly issued financial statements are fairly presented.
Prerequisite: ACCT 5210.
Credits: 3
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ACCT 5310 - Selected Topics in Advanced Accounting
Studies accounting and financial reporting for partnerships, business enterprise segments, home office/branch office, foreign transactions and translation, business combinations, and other intercorporate investments and consolidated statements.
Prerequisite: ACCT 3120.
Credits: 3
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ACCT 5330 - Accounting for Non-Business Organizations
Financial accounting for governmental and non-profit organizations. Studies the theory and techniques of accounting and reporting for various funds and groups of accounts. Prerequisite: ACCT 3120.
Credits: 3
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ACCT 5410 - Fraud Examination
Focuses on the principles and methodology of fraud detection and deterrence. Examines how and why occupational fraud is committed, how fraudulent conduct can be deterred, and how allegations of fraud should be investigated and resolved. Prerequisite: ACCT 3120 Intermediate Accounting II
Credits: 3
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ACCT 5460 - Federal Taxation II
Analyzes of the federal income tax law and its application to corporations, shareholders, partnerships, partners, estates, and gift transactions. Prerequisite: ACCT 4450.
Credits: 3
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Anthropology |
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ANTH 5200 - History of Kinship Studies
Critical assessment of major theoretical approaches to the study of kinship and marriage (from the 19th century to the present) and of the central role of kinship studies in the development of anthropological theory.
Credits: 3
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ANTH 5210 - Reconfiguring Kinship Studies
Examines the ways in which the forms of kinship have been reconfigured in contemporary societies, and the ways in which traditional kinship studies have been reconfigured by their intersection with culture theory, feminist theory, gender studies, postmodern theory, gay and lesbian studies, and cultural studies of science and medicine. Prerequisite: ANTH 5200 or instructor permission.
Credits: 3
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ANTH 5220 - Economic Anthropology
Considers Western economic theories and their relevance to non-Western societies. Includes a comparative analysis of different forms of production, consumption, and circulation.
Credits: 3
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ANTH 5225 - NGOs, Development, and International Aid
Graduate level seminar explores the scholarly literature on NGOs and development aid organizations, emphasizing results of field studies. Issues include the relationship between policy and practice, the impact of changing trends and funding priorities, the politics of representing the voices of aid clients, economic and racial hierarchies in development, assessment and audit, and the nature of motivations to help.
Prerequisite: 4th year ANTH, GDS, or PST Majors; or A&S Graduate students
Credits: 3
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ANTH 5235 - Legal Anthropology
This course is an introduction to legal anthropology for graduate students or advanced undergraduates. This course investigates law systems, legal argumentation, and people’s interactions with these thoughts and forms. Rather than taking as given the hegemonic power that legal structures might hold over people’s lives and thought, this course questions how people use, abuse, subvert, and leverage legal structures in which they find themselves.
Credits: 3
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ANTH 5360 - World Mental Health
This course will examine mental health issues from the perspectives of biomedicine and anthropology, emphasizing local traditions of illness and healing as well as evidence from epidemiology and neurobiology. Included topics will be psychosis, depression, PTSD, Culture Bound Syndromes, and suicide. We will also examine the role of pharmaceutical companies in the spread of western based mental health care and culturally sensitive treatment.
Credits: 3
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ANTH 5401 - Linguistic Field Methods
Investigates the grammatical structure of non-European language on the basis of data collected in class from a native speaker. A different language is the focus of study each year.
Credits: 3
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ANTH 5410 - Phonology
An introduction to the theory and analysis of linguistic sound systems. Covers the essential units of speech sound that lexical and grammatical elements are composed of, how those units are organized at multiple levels of representation, and the principles governing the relation between levels.
Credits: 3
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ANTH 5440 - Morphology
An overview of morphological theory within the generative paradigm. Covers notions of the morpheme, theories of the phonology-syntax interface (e.g., lexical phonology, prosodic morphology, optimality theory), and approaches to issues arising at the morphology-syntax interface (e.g., inflection, agreement, incorporation, compounding).
Credits: 3
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ANTH 5470 - Language and Identity
In anthropology, where identity has become a central concern, language is seen as an important site for the construction of, and negotiation over social identities. In linguistics, reference to categories of social identity helps to explain language structure and change. This seminar explores the overlap between these converging trends by focusing on the notion of discourse as a nexus of cultural and linguistic processes.
Credits: 3
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ANTH 5480 - Literacy and Orality
This course surveys ethnographic and linguistic literature on literacy, focusing on the social meanings of speaking vs. writing (and hearing vs. reading) as opposed communicative practices, looking especially at traditionally oral societies.
Credits: 3
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ANTH 5490 - Speech Play and Verbal Art
This graduate-level seminar seeks to understand variation in language (and its significance for social relations and social hierarchies) by focusing on forms of language that are aesthetically valued (whether as powerful or as poetic) in particular communities. The course assumes some familiarity both with technical analysis of language and anthropological perspectives on social formations.
Credits: 3
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ANTH 5510 - Topics in Ethnography
Seminars on topics announced prior to each semester.
Credits: 3
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ANTH 5528 - Topics in Race Theory
This course examines theories and practices of race and otherness, in order to analyze and interpret constructions, deconstructions and reconstructions of race from the late 18th to the 21st centuries. The focus varies from year to year, and may include ‘race, ‘progress and the West,’ ‘gender, race and power,’ and ‘white supremacy.’ The consistent theme is that race is neither a biological nor a cultural category, but a method and theory of social organization, an alibi for inequality, and a strategy for resistance. Cross listed as AAS 5528. Prerequisite: ANTH 1010, 3010, or other introductory or middle-level social science or humanities course
Credits: 3
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ANTH 5541 - Topics in Linguistics
Topics to be announced prior to each semester, dealing with linguistics.
Credits: 3
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ANTH 5549 - Topics in Theoretical Linguistics and Linguistic Anthropology
Seminars in topics of specific interest to faculty and advanced students will be announced prior to each semester.
Credits: 3
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ANTH 5589 - Selected Topics in Archaeology
Seminars in topics announced prior to each semester.
Credits: 1 to 6
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ANTH 5590 - Topics in Social and Cultural Anthropology
Topics to be announced prior to each semester, dealing with social and cultural anthropology.
Credits: 3
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ANTH 5610 - Critical medical anthropology: healers, patients, scholars
This class focuses on critical issues in medical anthropology on topics of patienthood, healing and healers and the theoretical, methodological and ethnographic perspectives of anthropologists who integrate issues of politics, economics, power and resistance in understanding health, illness, healing as individually experienced and culturally shaped phenomena .
Credits: 3
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ANTH 5620 - The Middle East in Ethnographic Perspective
Survey of the anthropological literature on the Middle East & N. Africa. Begins historically with traditional writing on the Middle East and proceeds to critiques of this tradition and attempts at new ways of constructing knowledge of this world region. Readings juxtapose theoretical and descriptive work toward critically appraising modern writers’ success in overcoming the critiques leveled against their predecessors.
Credits: 3
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ANTH 5808 - Method and Theory in Archaeology
Investigates current theory, models, and research methods in anthropological archaeology.
Credits: 3
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ANTH 5840 - Archaeology of Complex Societies
Examines archaeological approaches to the study of complex societies using case studies from both the Old and New Worlds.
Credits: 3
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ANTH 5870 - Archaeozoology
Laboratory training in techniques and methods used in analyzing animal bones recovered from archaeological sites. Include field collection, data analysis, and the use of zooarchaeological materials in reconstructing economic and social systems.
Credits: 3
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ANTH 5880 - Gender in Archaeology
Explores the range of case studies and theoretical literature associated with the emergence of gender as a framework for research in archaeology.
Credits: 3
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ANTH 5885 - Archaeology of Colonial Expansions
Exploration of the archaeology of frontiers, expansions and colonization, focusing on European expansion into Africa and the Americas while using other archaeologically-known examples (e.g., Roman, Bantu) as comparative studies. Prerequisite: For undergraduates, ANTH 4591 senior seminar or instructor permission.
Credits: 3
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ANTH 5993 - Independent Studies in Anthropologies
Independent study conducted by the student under the supervision of an instructor of his or her choice.
Credits: 3
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ANTH 7010 - History of Anthropological Theory I
Explores the diverse intellectual roots of the discipline, showing how they converged into a unitary program in the late nineteenth century, and how this program was criticized and revised in the first half of the 20th century.
Credits: 3
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ANTH 7020 - History of Anthropological Theory II
Analyzes the main schools of anthropological thought since World War II, a half century during which separate English, French, and American traditions have influenced each other to produce a broad and subtle international discipline.
Credits: 3
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ANTH 7040 - Ethnographic Research Design and Methods
Seminar on ethnographic methods and research design in the qualitative tradition. Surveys the literature on ethnographic methods and explores relations among theory, research design, and appropriate methodologies. Students participate in methodological exercises and design a summer pilot research project. Prerequisite: Second year graduate in anthropology or instructor permission.
Credits: 3
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ANTH 7050 - Ethnographic Writing and Representation
Seminar on the craft of ethnographic writing and the ethical, political, and practical challenges of describing studied people in scholarly books and articles. What can student researchers do during fieldwork to help them write better dissertations more easily? How should they analyze and present field data? Prerequisite: ANTH 7040 or instructor permission. Suitable for pre- and post-field graduate students.
Credits: 3
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ANTH 7060 - Dissertation Research Proposal Workshop
A workshop for graduates preparing dissertation proposals and writing grant applications. Each student prepares several drafts of a proposal, revising it at each stage in response to the criticisms of classmates and the instructor.
Credits: 3
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ANTH 7129 - Marriage, Mortality, Fertility
Explores the ways that culturally formed systems of values and family organization affect population processes in a variety of cultures. Readings are drawn from comparative anthropology and historical demography. Cross-listed as ANTH 3129.
Credits: 3
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ANTH 7130 - Disease, Epidemics and Society
Topics covered in this course will include emerging diseases and leading killers in the twenty-first century, disease ecology, disease history and mortality transitions, the sociology of epidemics, the role of epidemiology in the mobilization of public health resources to confront epidemics, and the social processes by which the groups become stigmatized during disease outbreaks.
Prerequisites: previous ANTH or SOC course
Credits: 3
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ANTH 7290 - Nationalism and the Politics of Culture
Analyzes the ways in which a spirit of national or ethic solidarity is mobilized and utilized.
Credits: 3
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ANTH 7340 - Anthropology and History
This course explores the mutuality of the disciplines of anthropology and history, as well as the differences in their approaches and methods, in order to reassert the epistemology and subject matter common to the two disciplines, and to bring strength to disciplinary analysis. We will read works of scholars who traverse the two disciplines, paying close attentions to their methodological approaches.
Credits: 3
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ANTH 7370 - Power and the Body
Study of the cultural representations and interpretations of the body in society.
Credits: 3
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ANTH 7400 - Linguistic Anthropology
An advanced introduction to the study of language from an anthropological point of view. No prior coursework in linguistics is expected, but the course is aimed at graduate students who will use what they learn in their own anthropologically-oriented research. Topics include an introduction to such basic concepts in linguistic anthropology as language in world-view, the nature of symbolic meaning, language and nationalism, universals and particulars in language, language in history and prehistory, the ethnography of speaking, the nature of everyday conversation, and the study of poetic language. The course is required for all Anthropology graduate students. It also counts toward the Theory requirement for the M.A. in Linguistics.
Credits: 3
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ANTH 7420 - Theories of Language
Survey of modern schools of linguistics, both American and European, discussing each approach in terms of historical and intellectual context, analytical goals, assumptions about the nature of language, and relation between theory and methodology.
Credits: 3
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ANTH 7440 - Language and Emotion
This course explores emotion from the perspectives of cultural anthropology and sociolinguistics. Topics include: emotion in the natural vs. social sciences; cross-cultural conceptions of emotion; historical change in emotion discourses; emotion as a theory of the self; the grammatical encoding of emotion in language; (mis-) communication of emotion; and emotion in the construction of racialized and gendered identities.
Credits: 3
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ANTH 7450 - Native American Languages
Surveys the classification and typological characteristics of Native American languages and the history of their study, with intensive work on one language by each student. Some linguistics background is helpful.
Credits: 3
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ANTH 7470 - Language and Culture in the Middle East
Language and Culture in the Middle East
Credits: 3
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ANTH 7480 - Language and Prehistory
This course covers the basic principles of diachronic linguistics (the study of how languages change over time) and the uses of linguistic data in the reconstruction of prehistory. Considered is the use of linguistic evidence in tracing prehistoric population movements in demonstrating contact among prehistoric groups and in the reconstruction of daily life. To the extent that the literature permits, examples and case studies will be drawn from the Mayan language area of Central America, and will include discussion of the pre-Columbian Mayan writing system and its ongoing decipherment. Fulfills the comparative-historical requirement for Linguistics graduate students.
Credits: 3
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ANTH 7541 - Topics in Sociolinguistics
Analyzes particular aspects of the social use of language. Topics vary from year to year.
Credits: 3
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ANTH 7589 - Topics in Archaeology
Topics to be announced prior to each semester, dealing with archaeology.
Credits: 3
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ANTH 7590 - Topics in Social and Cultural Anthropology
Topics to be announced prior to each semester, dealing with social and cultural anthropology.
Credits: 3
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ANTH 7603 - Archaeological Aproaches to Atlantic Slavery
This course explores how archaeological and architectural evidence can be used to enhance our understanding of the slave societies that evolved in the early-modern Atlantic world. The primary focus is the Chesapeake and the British Caribbean, the later exemplified by Jamaica and Nevis. The course is structured around a series of data-analysis projects that draw on the Digital Archaeological Archive of Comparative Slavery (http://www.daacs.org).
Credits: 3
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ANTH 7630 - Chinese Family and Religion
Analyzes various features of traditional Chinese social organization as it existed in the late imperial period. Includes the late imperial state; Chinese family and marriage; lineages; ancestor worship; popular religion; village social structure; regional systems; and rebellion.
Credits: 3
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ANTH 7840 - Quantitative Analysis in Anthropology I
This course examines the quantitative analytical techniques used in anthropology and archaeology. Topics include seriation, regression analysis, measures of diversity, and classification.
Credits: 3
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ANTH 7841 - Quantitative Analysis II
This is a second course in statistical methods useful in many disciplines, including archaeology, anthropology, and environmental sciences. Coverage includes linear and generalized linear models, non-parametric regression, multivariate distances, clustering, ordination methods, and discriminant functions. The course emphasizes practical data analysis using R.
Prerequisite: Quantitative Analysis I (ANTH 4840/7840) or an introductory statistics course and a basic knowledge of R.
Credits: 3
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ANTH 7855 - Historical Archaeology
Historical archaeology is the archaeological study of the continental and transoceanic human migrations that began in the fifteenth century, their effects on native peoples, and historical trajectories of the societies that they created. This course offers an introduction to the field. It emphasizes how theoretical models, analytical methods, and archaeological data can be combined to make and evlaluate credible inferences about the past.
Credits: 3
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ANTH 8998 - Non-Topical Research, Preparation for Research
For master’s research, taken before a thesis director has been selected.
Credits: 1 to 12
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ANTH 8999 - Non-Topical Research
For master’s thesis, taken under the supervision of a thesis director.
Credits: 1 to 12
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ANTH 9010 - Directed Readings
Directed Readings
Credits: 1 to 12
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ANTH 9020 - Directed Readings
Directed Readings
Credits: 1 to 12
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ANTH 9050 - Research Practicum
Research Practicum
Credits: 1 to 12
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ANTH 9998 - Non-Topical Research, Preparation for Doctoral Research
For doctoral research, taken before a dissertation director has been selected.
Credits: 1 to 12
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ANTH 9999 - Non-Topical Research
For doctoral dissertation, taken under the supervision of a dissertation director.
Credits: 1 to 12
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Applied Mathematics |
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APMA 5070 - Numerical Methods
Introduces techniques used in obtaining numerical solutions, emphasizing error estimation. Includes approximation and integration of functions, and solution of algebraic and differential equations. Prerequisite: Two years of college mathematics, including some linear algebra and differential equations, and the ability to write computer programs in any language.
Credits: 3
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APMA 6020 - Continuum Mechanics with Applications
Introduces continuum mechanics and mechanics of deformable solids. Vectors and cartesian tensors, stress, strain, deformation, equations of motion, constitutive laws, introduction to elasticity, thermal elasticity, viscoelasticity, plasticity, and fluids. Cross-listed as AM 6020, MAE 6020, CE 6720 Prerequisite: Instructor Permission
Credits: 3
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APMA 6130 - Mathematical Foundations of Continuum Mechanics
Describes the mathematical foundations of continuum mechanics from a unified viewpoint. Review of relevant concepts from linear algebra, vector calculus, and Cartesian tensors; kinematics of finite deformations and motions; finite strain measures; linearization; concept of stress; conservation laws of mechanics and equations of motion and equilibrium; constitutive theory; constitutive laws for nonlinear elasticity; generalized Hooke’s law for a linearly elastic solid; constitutive laws for Newtonian and non-Newtonian fluids; basic problems of continuum mechanics as boundary-value problems for partial differential equations. Cross-listed as AM 6130. Prerequisite: Linear Algebra, Vector Calculus, Elementary PDE (may be taken concurrently).
Credits: 3
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APMA 6150 - Linear Algebra
Analyzes systems of linear equations; least squares procedures for solving over determined systems; finite dimensional vector spaces; linear transformations and their representation by matrices; determinants; Jordan canonical form; unitary reduction of symmetric and Hermitian forms; eigenvalues; and invariant subspaces. Prerequisite: Three years of college mathematics or instructor permission.
Credits: 3
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APMA 6240 - Nonlinear Dynamics and Waves
Introduces phase-space methods, elementary bifurcation theory and perturbation theory, and applies them to the study of stability in the contexts of nonlinear dynamical systems and nonlinear waves, including free and forces nonlinear vibrations and wave motions. Examples are drawn from mechanics and fluid dynamics, and include transitions to periodic oscillations and chaotic oscillations. Also cross-listed as MAE 6240. Prerequisite: Undergraduate ordinary differential equations or instructor permission.
Credits: 3
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APMA 6340 - Numerical Analysis
Topics include the solution of systems of linear and nonlinear equations, calculations of matrix eigenvalues, least squares problems, and boundary value problems in ordinary and partial differential equations. Prerequisite: Two years of college mathematics, including some linear algebra, and the ability to write computer programs.
Credits: 3
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APMA 6370 - Singular Perturbation Theory
Analyses of regular perturbations; roots of polynomials; singular perturbations in ODE’s; periodic solutions of simple nonlinear differential equations; multiple-Scales method; WKBJ approximation; turning-point problems; Langer’s method of uniform approximation; asymptotic behavior of integrals; Laplace Integrals; stationary phase; and steepest descents. Examples are drawn from physical systems. Cross-listed as MAE 6370. Prerequisite: Familiarity with complex analysis.
Credits: 3
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APMA 6410 - Engineering Mathematics I
Review of ordinary differential equations. Initial value problems, boundary value problems, and various physical applications. Linear algebra, including systems of linear equations, matrices, eigenvalues, eigenvectors, diagonalization, and various applications. Scalar and vector field theory, including the divergence theorem, Green’s theorem, Stokes theorem, and various applications. Partial differential equations that govern physical phenomena in science and engineering. Solution of partial differential equations by separation of variables, superposition, Fourier series, variation of parameters, d’ Alembert’s solution. Eigenfunction expansion techniques for nonhomogeneous initial-value, boundary-value problems. Particular focus on various physical applications of the heat equation, the potential (Laplace) equation, and the wave equation in rectangular, cylindrical, and spherical coordinates. Cross-listed as MAE 6410. Prerequisite: Graduate standing.
Credits: 3
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APMA 6420 - Engineering Mathematics II
Further and deeper understanding of partial differential equations that govern physical phenomena in science and engineering. Solution of linear partial differential equations by eigenfunction expansion techniques. Green’s functions for time-independent and time-dependent boundary value problems. Fourier transform methods, and Laplace transform methods. Solution of a variety of initial-value, boundary-value problems. Various physical applications. Study of complex variable theory. Functions of a complex variable, and complex integral calculus, Taylor series, Laurent series, and the residue theorem, and various applications. Serious work and efforts in the further development of analytical skills and expertise. Cross-listed as MAE 6420. Prerequisite: Graduate standing and APMA 6410 or equivalent.
Credits: 3
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APMA 6430 - Statistics for Engineers and Scientists
Analyzes the role of statistics in science; hypothesis tests of significance; confidence intervals; design of experiments; regression; correlation analysis; analysis of variance; and introduction to statistical computing with statistical software libraries. Prerequisite: Admission to graduate studies.
Credits: 3
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APMA 6440 - Applied Partial Differential Equations
Includes first order partial differential equations (linear, quasilinear, nonlinear); classification of equations and characteristics; and well-posedness of initial and boundary value problems. Cross-listed as MAE 6440. Prerequisite: APMA 6420 or equivalent.
Credits: 3
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