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History Other relevant courses may be found under Economics, Environmental Studies, Geography, Global Studies, and Political Science. |
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HIS 3045 - The Evolution of Whiteness 3 cr
Contemporary U.S. society employs a pentagonal classification system when categorizing individuals on the basis of race: white/black/brown/yellow/red. But this has not always been the case. As late as the early twentieth century, for example, most people assumed that there were dozens (if not hundreds) of races, and it was generally felt that groups like the Irish, the Jews, and the Italians did not belong to the “white” race. The aim of this course is to explore the historical evolution, and social construction, of the white race in the U.S., and trace the process by which various ethnic groups were granted, or demanded, entry into that privileged caste.
Spring 2013, Spring 2016
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HIS 3055 - From Sambo to Nat Turner: The Nature of Slavery 3 cr
Few subjects have produced so varied a historical literature, or so lively a scholarly debate, as the nature of slavery in the United States. Indeed, from one era to the next, academic books about slavery seem to reflect prevailing popular attitudes about race as much as they describe the actual reality of slavery. This course examines a number of famous works on slavery in an effort to comprehend what slavery was really like, while at the same time coming to terms with the fact that the “truth” about any historical phenomenon is often contingent on who is writing the history and when they are writing it.
Fall 2010, Fall 2013
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HIS 3065 - History of the Nature–Nurture Debate 3 cr
Over the past two centuries, the pendulum has consistently swung back and forth between the belief that heredity is the crucial factor determining human behavior and the belief that environment has a preponderant effect on human personality. This course traces the mercurial history of the naturenurture debate, in order to reveal its effect on public policy and its influence on the way Americans today think about such matters as race, intelligence, poverty, and gender.
Spring 2011, Spring 2014
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HIS 3130 - The Civil War and Reconstruction 3 cr
The Era of the Civil War and Reconstruction represents one of the most important periods in US history. Four million African Americans gained freedom from bondage, 600,000 soldiers perished in the nation’s bloodiest war, and the 13th, 14th, and 15th amendments to the constitution redefined the nature of American citizenship. This upper-division course will explore the war and its aftermath by discussing the period’s most important themes, reading the work of distinguished authors, and examining documents left by participants. Topics for consideration will include the ebb and flow of military campaigns, the northern and southern home fronts, the politics of war and peace, and the impact of the war on black and white Americans in the North and in the South.
Spring, odd years
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HIS 3170 - Environmental History: The U.S. Conservation Movement 3 cr
s course explores the shifting attitudes toward nature held by Americans as the United States expanded across the continent. We will become familiar with the seminal works and activities of the nation’s leading conservationists, and thereby trace the history of the movement as it evolved through the stages of conservationism, preservationism, and environmentalism.
Spring 2012, Spring 2015
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HIS 3210 - Social History of Latin America 3 cr
This course is designed to explore various issues in the social history of Latin America. Topics will include race and ethnic relations, labor, gender, rural society, and class as presented in the journal literature, therefore reflecting much of the latest research on these topics.
Spring, even years
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HIS 3220 - Revolutions in Latin America 3 cr
This course examines the role revolutionary violence played in establishing a modern Atlantic world based on the idea of the liberal nation-state. We will take as our guiding assumption that liberation movements in Latin America played a key role in that process, but we will at times consider the critical influence of revolutions in North America and Europe on events in Latin America. We will especially consider the roles of nationalism, Marxism, and anti-colonialism in providing models for revolutionary violence.
Spring, odd years
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HIS 3340 - Europe and the Middle East 3 cr
Since ancient times, Europe and the Middle East have had a shared history, a history marked by both conflict and cooperation. This course explores European perceptions of—as well as conflicts and encounters with—the Middle East since the rise of Islam in the seventh century. We examine the political, military, economic, social, and cultural interactions between the two regions as well as the roots of contemporary problems.
Spring 2011, Spring 2014
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HIS 3345 - Masculinities in Modern Europe 3 cr
This course examines the many meanings and practices of masculinity in Europe since the French Revolution. Starting with the assumption that ideas about masculinity are culturally constructed, we explore the relationship of masculinities to nationalism, imperialism, work, sexuality, war, politics, and other important elements of modern European history. The role of masculinities in justifying and perpetuating, and at times undermining, systems of power based on race, gender, and sexuality are central to our analysis.
Fall 2012, Fall 2015
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HIS 3365 - Pax Britannica 3 cr
The nineteenth century has often been called the “Pax Britannica,” or the British Peace. The phrase suggests that the period between the Napoleonic wars and World War I was a time of peace and prosperity guaranteed by British power. In fact, for many people around the globe, British imperialism meant famine, war, and destruction. The expansion of its empire during the nineteenth century transformed Britain irrevocably as well. This course examines the effects of formal and informal British imperialism on Britain and the world in the nineteenth century.
Spring 2013, Spring 2016
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HIS 3450 - Women in European History 3 cr
A study of the changing role of women in European history is offered from the end of antiquity to the 20th century. Topics include women in public and private life, the economic and legal position of women, and the changing role of women in society.
Fall 2010, Fall 2013
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HIS 3465 - Apartheid South Africa 3 cr
This course will examine the political history of apartheid (1948-1994). We explore the roots of racial segregation and anti-racist protest from the late 19th century, from the discoveries of diamonds and gold, the South African (“Anglo-Boer”) War and the formation of the Union of South Africa (1910). The growth of segregation in the following decades is explored, but the focus of the course is after the imposition of apartheid in 1948. We trace the development of different forms of resistance to mounting state repression. The history of apartheid is examined in three periods: the establishment of apartheid and non-violent defiance politics (1948-1960); the Sharpeville Massacre, massive state repression and the move to armed struggle (1960-1976); “Soweto” and the dismantling of apartheid (1976-1994).
Fall, even years
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HIS 3470 - Modern African History: Texts in Context 3 cr
The history of colonial rule in Africa is often thought of as “what Europe did to Africa”. Here we are interested in African perspectives of colonial and post-colonial events and processes. We examine how African writers – of all shades of skin color - have viewed and reviewed their history, under colonial rule and in neo- and postcolonial contexts. After we have established the context of colonial rule, we explore a wide range of literature across the continent, including novels and more formal historical and political critiques. Some of these texts were produced under colonialism, and others were written later. They all reflect in fascinating ways on modern African history, from the inside.
Spring, even years
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HIS 3475 - Women and Gender in African History 3 cr
This course examines the changing roles of both women and gender in African history, from precolonial through postcolonial societies. Using case studies from different eras and regions, the course explores political, social and economic change, and includes a discussion of sexualities and of African feminist critiques of western feminism.
Spring, odd years
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HIS 3480 - Special Topics: Africa in Global History 3 cr
This seminar explores selected advanced topics, ranging from ancient to contemporary African history. The specific topic and course description will be announced prior to each registration period, but each course will examine both primary and secondary sources and will explore African history in the context of global connections and comparisons. This course may be repeated for credit as topics change.
Fall, odd years
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HIS 3510 - Chinese History and Culture 3 cr
An introductory survey of Chinese history and culture from early China to today. Topics will include images of China in the West; art, language, literature, and beliefs; the evolution of traditional social roles and identities; the rise of the imperial state and problems of empire; Western imperialism; major movements for reform and revolution; the status of women; the cultural revolution; democracy and the roles of intellectuals and artists; and China’s international interests today and over time.
Fall
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HIS 3520 - Japanese History and Culture 3 cr
An introductory survey of Japanese culture and history from ancient times to today, including the foundations and evolution of the Japanese state; the role of Shinto, Buddhism and other belief systems in society and politics; the significance of Chinese influence; rise of the samurai and the philosophy of bushido; the “floating world” of urban Japanese culture; imperial restoration and problems of empire; WWII and the U.S. occupation; and economic competitiveness and Japan’s international interests.
Spring
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HIS 3570 - History, Memory and War 3 cr
This course focuses on three of America’s wars with Asia (World War II in the Pacific; the Korean War, and the Vietnam War), and provides an opportunity for each student to undertake a research project on a war of his or her choosing. The course takes a cultural and comparative approach to history and memory. We examine the public history controversies surrounding the representation and interpretation of wars, and we analyze the social, political, and personal interplay of history, collective memory, and national consciousness by comparing Asian, European, and American experiences.
Spring 2015, Spring 2018
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HIS 3610 - History Proctorship 1-3 cr
History proctors assume partial responsibility, under faculty supervision, for the progress of students in a History course. Sample duties include conducting study sessions, preparing handouts, leading discussion groups, and tutoring individual students. May be taken more than once (but no more than 3 credits may count toward the major).
Prerequisite: junior or senior standing and permission of instructor.
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HIS 3720 - Topics in Asian History 3 cr
This course introduces Asian history by focusing on topics that reflect current events and student interests. Topics will change from year to year, therefore, and may include, for example, the democracy movement in China; Asia through film and fiction; the cultural revolution and beyond; modern Chinese cultural critique; women in Asia, the body in Asia as a site of culture and history; and the struggle for democracy and economic growth in East Asia. This course may be repeated for credit as topics change.
Spring 2014, Spring 2017
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HIS 3810 - Internship in History 3 cr
By arrangement with the coordinator of the history program. See Internships . Signed contract required at time of registration. Variable credit.
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HIS 3910 - Independent Study 3 cr
Provides the exceptionally curious and motivated student the opportunity to explore in greater depth an aspect of a history course already taken. Students need to arrange with an appropriate history faculty member a student-faculty independent study contract prior to registration.
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HIS 4601 - History Research Seminar 3 cr
This course is required of all students majoring in History or Social Studies. It is the first in a sequence of two required courses leading to the History Thesis (see HIS 4602 ). The goal of the course is to teach students how to approach history from the point of view of a historian, reading texts for historiographical, theoretical and methodological significance. In this class, students learn how to conduct quality research and to develop bibliographic and citation skills. They apply these skills when they identify, locate and analyze secondary and primary sources that lead to a substantial research proposal that will form the basis of the History Thesis.
Prerequisite: Majoring in History or Social Studies; junior or senior status.
Fall
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HIS 4602 - History Thesis Seminar 3 cr
This capstone seminar is required of all students majoring in History or Social Studies. Building on the research proposal developed in HIS 4601 , students will continue to locate, evaluate and interpret the significance of primary and secondary sources pertaining to a particular historical research project. This course is conducted as a seminar, with emphasis placed on working together with the professor and all class members to prepare a culminating project for public presentation to the campus community, and submitted in written form as a History Thesis.
Prerequisite: Prerequisite HIS 4601 , and a grade of C+ or higher in ENG 2010 .
Spring
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HIS 4910 - Independent Study 3 cr
Provides the exceptionally curious and motivated student the opportunity to explore in greater depth any aspect of historical study. The study must culminate in a major research paper based on both primary and secondary sources. Students need to arrange with an appropriate history faculty member a student-faculty independent study contract prior to registration.
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Interdisciplinary Liberal Arts |
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INT 1051 - First-Year Soundings I: An Introduction to The Liberal Arts, Part I 1 cr
The student experiences the richness and vitality of the liberal arts through lectures, plays, recitals, poetry readings, dance performances, and other campus-sponsored cultural and intellectual activities during the year.
Requires $60 course fee.
Fall, Spring
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INT 1052 - First-Year Soundings I: An Introduction to The Liberal Arts, Part I 2 cr
The student experiences the richness and vitality of the liberal arts through lectures, plays, recitals, poetry readings, dance performances, and other campus-sponsored cultural and intellectual activities during the year.
Requires $60 course fee.
Fall, Spring
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INT 1053 - First Year Soundings II, an Introduction to the Liberal Arts, Part II 0.5 cr
A continuation of First-Year Soundings I. Students must attend at least four events during the semester. Both First-Year Soundings I and II must be taken during the student’s first year at Castleton. Consequently, a student may not drop First-Year Soundings unless, in the judgment of the teachers of Soundings, he or she has a very serious reason such as substantial personal hardship or prolonged illness.
Fee $60.
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INT 1070 - Foundations of Leadership 3 cr
Foundations of Leadership helps students to understand, appreciate and reflect on their position in the communities to which they belong, and to learn to foster change in those communities. The course offers a survey of leadership theory and, more prominently, leadership training in the individual, group, and civic skills necessary to develop as leaders capable of significant civic work. The course approaches leadership through an interdisciplinary problem-based method, organizing our discussions and course activities around the students’ development of a community-based, civic-engagement project. Throughout the semester, the students will work in teams to develop projects that will be implemented at the end of the term.
Fall
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INT 2015 - The Collapse of a Civilization 4 cr
This interdisciplinary course examines the rise and fall of the Mayan civilization of Central America. We study the environment, history, and science of the Maya, paying particular attention to how they interacted with their natural world. We then travel to the mountains of Belize to explore the setting where the Maya once thrived. Upon our return we process what we have learned with an eye towards understanding contemporary sustainability issues.
Fee: Dependent on current travel costs; approximately $2000.
Periodically
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INT 2020 - Great Ideas in the Castleton Curriculum 3 cr
This course, which is part of the college’s Honors program, is intended to introduce students to some of the most important ideas in the Castleton State College curriculum, ideas such as the nature of knowledge, the power of art, the relationship between justice and law, theories of space and time, and the goals of feminism. It is also intended to help students expand the range of subjects in which they are interested and create for themselves a general education program characterized by challenge and exploration.
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INT 3054 - Junior Soundings 0.5 cr
The student experiences the richness and vitality of the liberal arts through lectures, plays, recitals, poetry readings, dance performances, and other campus sponsored cultural and intellectual activities during the year. Students must attend at least three events during the semester. In addition, students will be required to attend an orientation session at the beginning of the semester and write an essay in which they reflect upon their General Education experiences.
Prerequisite: INT 1051 and , and junior standing.
Fee $50.
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INT 4740 - New Student Seminar Practicum 1 cr
This course provides an opportunity for students to learn techniques for facilitating small group discussions and practice those skills during orientation and FYS (First-Year Seminar) program.
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Mathematics |
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MAT 0190 - Mathematics Skills Lab 1 cr
Required of all students whose test scores on ACCUPLACER indicate weakness in basic mathematical skills. The operations of arithmetic and elementary algebra are developed through problems and examples. Credit for this course does not count toward diploma requirements.
Periodically
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MAT 1010 - Essential Mathematics 2 cr
Mathematical analysis and problem solving based on arithmetic and elementary algebra. The course requirements include writing and problem solving assignments. This course may not be used to fulfill the mathematics core requirement.
Prerequisite: Students must take a math assessment (ACCUPLACER) for placement purposes prior to registration.
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MAT 1020 - Intermediate Algebra 3 cr
This course prepares students for the study of precalculus. A brief review of the fundamentals of algebra, equations and inequalities, exponents, and radicals is conducted. Functions and graphs, systems of equations, and polynomial, rational, and exponential functions are covered in this course. This course may not be used to satisfy the math/science frame.
Prerequisite: Students must take a math assessment (ACCUPLACER) for placement purposes prior to registration or MAT 1010 .
Every semester
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MAT 1221 - Finite Mathematics 3 cr
This is an introductory problem-solving course with applications from biology, behavioral science, social science, business and finance. Students examine coordinate systems and graphs, functions, linear programming, matrices and linear systems, game theory, and probability topics. This course is required for those students who need MAT 1221L (PED LAB).
Prerequisite: Students must take a math assessment (ACCUPLACER) for placement purposes prior to registration or MAT 1010 .
Every semester
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MAT 1221L - Finite Mathematics Pedagogy Lab 1 cr
This course is a study of strategies, techniques, materials, technology, and current research used in the teaching of the concepts of finite mathematics to high school and elementary school students. Students will review the traditional and contemporary standards involved in teaching mathematics at the secondary and elementary school level; develop an awareness of the professional resources, materials, technology and information available for teachers; prepare unit and lesson plans with related assessment procedures on a variety of topics; and acquire teaching experience by taking part in individual tutoring, observation at a local school, and/or presenting lessons at the appropriate level.
Prerequisite: Math Ed major, MAT 1221 or concurrent enrollment.
Every semester
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MAT 1320 - Precalculus 3 cr
This course is designed to prepare students for the study of calculus. Emphasis is placed on the study of functions. Functions are explored from numerical, graphical, and analytic perspectives including the study of polynomial, rational, exponential, logarithmic, and trigonometric functions. Students utilize technology (graphing calculators and/or the internet) on a regular basis.
Prerequisite: Students must take a math assessment (ACCUPLACER) for placement purposes prior to registration or MAT 1010 .
Every semester
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MAT 1531 - Calculus I 4 cr
Topics include limits, differentiation, applications of derivatives, and an introduction to integration. This course may utilize graphing calculators on a regular basis.
Prerequisite: MAT 1320 or equivalent.
Every semester
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MAT 2021 - Statistics I 3 cr
This course prepares students for quantitative methods in their respective fields. Descriptive and inferential statistics, including estimation, hypothesis testing, linear regression and correlation are covered. Basic tools of descriptive statistics, discrete probability, binomial distribution, normal distribution, t-distribution, estimates and sample sizes, hypothesis testing, elementary correlation and regression, contingency tables are explored. Students utilize graphing calculators and spreadsheet software on a regular basis.
Prerequisite: Students must take a math assessment (ACCUPLACER) for placement purposes prior to registration or MAT 1010 .
Every semester
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MAT 2021L - Statistics Pedagogy Lab 1 cr
This course is a study of strategies, techniques, materials, technology, and current research used in the teaching of statistics to high school and elementary school students. Students will review the traditional and contemporary standards involved in teaching mathematics at the secondary and elementary school level; develop an awareness of the professional resources, materials, technology and information available for teachers; prepare unit and lesson plans with related assessment procedures on a variety of topics; and acquire teaching experience by taking part in individual tutoring, observation at a local school, and/or presenting lessons at the appropriate level.
Prerequisite: Math Ed major, MAT 2021 or concurrent enrollment.
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MAT 2022 - Statistics II 3 cr
This course is a continuation of MAT 2021 and includes estimation, hypothesis testing, single linear regression, and one-way analysis of variance using calculators and statistical software. This course addresses in-depth such topics as the Central Limit Theorem, Chebyshev’s theorem, covariance, multiple regression, ANOVA, nonparametric methods, and applications of probability distributions. It includes problems dealing with multiple linear regression, multi-way analysis of variance, nonparametric statistics, enumerative data, and computer applications. Students utilize graphing calculators and spreadsheet software on a regular basis.
Prerequisite: MAT 2021
Every semester
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MAT 2036 - Biostatistics 4 cr
This course introduces statistical concepts and analytical methods as applied to data encountered in ecological, environmental, and biomedical sciences. It emphasizes the basic concepts of experimental design, quantitative analysis of data, and statistical inferences. Topics include probability theory and distributions; population parameters and their sample estimates; descriptive statistics for central tendency and dispersion; hypothesis testing and confidence intervals for means, variances, and proportions; the chi-square statistic; categorical data analysis; linear correlation and regression model; analysis of variance; and nonparametric methods. The course provides students a foundation to evaluate information critically to support research objectives and product claims and a better understanding of statistical design of experimental trials for biological products/devices.
Students will be required to have a scientific calculator.
Prerequisite:
Minimum math placement of MAT 1320 or MAT 2021 .
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MAT 2532 - Calculus II 4 cr
Continuation of Calculus I, with topics to include techniques of integration, applications of integration, improper integrals, sequences, series, and Taylor polynomials. Students in this course may be required to utilize graphing calculators.
Prerequisite: MAT 1531 .
Every semester
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MAT 2533 - Calculus III 4 cr
Continuation of Calculus II, with topics including polar, spherical and cylindrical coordinates, partial derivatives, multiple integrals and vector calculus such as line integrals, surface integrals, and Gauss's, Green's, and Stoke's Theorems. Students in this course may be required to utilize graphing calculators.
Prerequisite: MAT 2532 .
Fall
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MAT 2550 - Mathematics: A Cultural Perspective 3 cr
This course studies the development of various branches of mathematics from ancient times to the present, and investigates historical and multicultural influences on the development of mathematics, to include non-Western cultures. While mathematics in present-day Western society is usually associated with science and technical fields, mathematical ideas in other cultural groups develop through storytelling and myth, art, music, philosophy, or the structure of marriage rules. This course provides an introduction to mathematics that affects political, sociological and economic situations in modern society. Topics such as voting systems; fairness conditions; power indices; fair division methods and their applications; apportionment methods; Euler and Hamilton circuits and their applications; networks; scheduling; and elementary game theory may be included. Students conduct research and present their findings as written reports and oral presentations.
Prerequisite: MAT 1020 or consent of instructor.
Spring
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MAT 2810 - Internship in Mathematics 1-12 cr
Signed contract required at time of registration.
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MAT 2900 - Independent Study 1-3 cr
Open on a limited basis. A personal interview with the Mathematics Department faculty is required prior to registration.
Hours by arrangement.
Signed contract required at time of registration.
Prerequisite: Consent of department chair.
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MAT 3020 - Mathematics for Elementary Teachers 4 cr
This course will focus on achieving goals set forth in Vermont’s Framework of Standards and Learning Opportunities and the Standards of the National Council of Teachers of Mathematics (NCTM), while strengthening the mathematical knowledge of the prospective elementary school teacher. Students will be given numerous opportunities to discover and construct important mathematical concepts and techniques using a variety of student-centered learning strategies, including the use of manipulative devices, graphing calculators, computers, Internet, portfolio and journal assessment, and Video Vignettes.
Every semester
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MAT 3035 - Teaching Secondary Mathematics I 3 cr
This course is a study of strategies, techniques, materials, technology, and current research used in the teaching of mathematical concepts to high school students. Students will review the traditional and contemporary standards involved in teaching mathematics at the secondary school level; develop an awareness of the professional resources, materials, technology and information available for teachers; prepare unit and lesson plans with related assessment procedures on a variety of topics; and acquire teaching experience by taking part in individual tutoring, observation at a high school, and/or presenting lessons at the appropriate level. This course fulfills three pedagogy lab credits in secondary mathematics.
Prerequisite: Math Ed major, junior or senior status.
Fall
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MAT 3210 - Linear Algebra 3 cr
This course introduces students to linear algebra including a study of vector spaces, linear transformations, determinants, inner products, and characteristic equations. Topics to be studied include mathematical structures, algebraic properties, and applications of matrices, determinants, vectors, vector spaces, and linear transformations. Students develop and solve mathematical models involving systems of linear algebraic equations and systems of linear differential equations. Students utilize graphing calculators and a computer algebra system.
Prerequisite: MAT 2532 .
Spring
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MAT 3220 - Probability 3 cr
This is a calculus-based course introducing probability theory including discrete and continuous random variables and their probability distributions, multivariate probability distributions, functions of random variables, and limit theorems.
Prerequisite: MAT 2021 , MAT 2532 , MAT 2533
Fall
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MAT 3230 - Mathematical Statistics 3 cr
This calculus-based course is a continuation of MAT 3220 including estimation theory, hypothesis testing, analysis of enumerative data, regression, analysis of variance, and nonparametric statistics.
Prerequisite: MAT 3220 .
Spring
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MAT 3250 - Applied Statistics 3 cr
Methods of analyzing univariate and multivariate data using statistical packages including Minitab, SPSS, and SAS. Topics include descriptive statistics for univariate and bivariate data, basic properties of multivariate distributions, multivariate linear regression, principal component analysis for dimension reduction, factor analysis, canonical correlation analysis, discrimination and classification, and simple multiple series models.
Prerequisite: MAT 2022 or MAT 3230 .
Every Semester
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MAT 3310 - Differential Equations 3 cr
This course is a study of first and higher order differential equations with many applications to science. Students explore analytical and numerical solution methods for ordinary and partial differential equations including series solutions and special functions for the solution of ODEs and the use of Fourier series to solve PDEs. Laplace transforms and numerical methods for solving ODEs and PDEs are introduced.
Prerequisite: MAT 2532 and MAT 3210 .
Spring
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MAT 3410 - Foundations of Mathematics 3 cr
This course is an introduction to mathematical proof and serves as a bridge from elementary courses to more advanced mathematics. Students explore fundamental ideas in logic, sets, the theory of numbers, relations and functions.
Prerequisite: MAT 1531
Fall
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MAT 3810 - Internship in Mathematics 1-12 cr
Signed contract required at time of registration.
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MAT 3820 - Mathematics Tutorship 1-3 cr
A supervised experience in individual instruction. To include reading and discussion of individualized instructional systems as well as an actual tutorial experience in MAT 0190 or in a 1000’s or 2000’s level Mathematics course.
Prerequisite: Invitation of the Mathematics Department.
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MAT 3900 - Independent Study 1-3 cr
Open on a limited basis. A personal interview with the Mathematics Department faculty is required prior to registration.
Hours by arrangement.
Signed contract required at time of registration.
Prerequisite: Consent of department chair.
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MAT 3910 - Independent Foreign Study in Mathematics Credits to be arranged.
Registration by permission of department chair only.
Signed contract required at time of registration.
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MAT 4010 - Design of Experiments 3 cr
Analysis of Variance techniques, basic experimental designs, complete and incomplete blocking, and factorial designs.
Prerequisite: MAT 2022 or MAT 3230 . Marketing Majors should elect this course after BUS 4030 .
Fall. Offered on a limited basis in consultation with department chair
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MAT 4020 - Applied Linear Regression 3 cr
Linear and multiple regression models. Least squares estimates, correlation, and prediction. Discriminate analysis, factor analysis, and cluster analysis.
Prerequisite: MAT 1531 , MAT 3250 .
Spring. Offered on a limited basis in consultation with department chair
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MAT 4035 - Teaching Secondary Mathematics II 3 cr
As a continuation of MAT 3035 , Teaching Secondary Mathematics, this course concentrates on in-depth mathematics instruction, multiple assessment techniques, Vermont Frameworks, and National Council of Teachers of Mathematics Standards preparing students to become secondary mathematics instructors. A strong emphasis is placed on the appropriate usage of technology in mathematics instruction. Students shall construct, revise, and execute lesson and unit plans in mathematics. This course fulfills three pedagogy lab credits in secondary mathematics.
Prerequisite: MAT 3035 or consent of the instructor
Spring
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MAT 4110 - Advanced Calculus 3 cr
This course is devoted to rigorous presentation of the basics of mathematical analysis of real valued functions of one (real) variable from the standpoint of contemporary/modern mathematics. It is a natural continuation of the sequence of calculus courses and will give proofs of important theorems used in those courses. Emphasis will be on the concepts and theoretical approach to calculus. Topics to be covered include theory of the real number system, theory of sequences and series of real numbers, theory of continuity, differentiability of real-valued functions, and theory of the Riemann integral of real valued functions.
Prerequisite: MAT 2533 and MAT 3410 .
Fall
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MAT 4120 - Numerical Analysis 3 cr
Numerical computation techniques for solving non-linear and transcendental equations including Newton’s method, bisection method, and secant method. Numerical solutions to polynomials, including synthetic division. Numerical interpolation, approximation, integration, and numerical solutions to ordinary differential equations.
Prerequisite: MAT 3210 , MAT 3310 or consent of instructor.
Periodically Offered on a limited basis in consultation with the department chair
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MAT 4130 - Abstract Algebra 3 cr
This course is an introduction to the principles and concepts of modern abstract algebra. Topics will include groups, rings, and fields with applications to number theory, the theory of equations, and geometry.
Prerequisite: MAT 2533 , MAT 3210 and MAT 3410 , or consent of instructor.
Spring
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MAT 4140 - Geometry 3 cr
This course includes a review of Euclidean geometry and an introduction to non-Euclidean geometries including finite geometries and systems of axioms, classical theorems and elementary transformations.
Prerequisite: MAT 3410 .
Spring
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MAT 4210 - Teachers as Researchers 2 cr
This course is intended for pre-service teachers who are seeking to increase their understanding of mathematics. The course uses data collection and analysis to guide improvement in K-6 mathematics programs. The student will build on the knowledge gained in MAT 3020 to obtain a deeper understanding of mathematics as related to NCTM and the Vermont Framework guidelines. In this course, students will function as researchers by gathering data and analyzing data, as means of improving the curriculum and instruction in K-6 mathematics programs. As researchers, students are encouraged to ask questions, pose problems, and identify means of solving problems by using different strategies. Emphasis will be on student-centered instructional approach, with ample use of manipulatives and technology.
Prerequisite: MAT 3020 or consent of instructor.
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MAT 4710 - Topics in Mathematics 1-3 cr
Advanced topics in mathematics offered on a rotating basis. Examples of topics include: complex analysis, topology, Galois theory, number theory.
Prerequisite: MAT 2533 , MAT 3410 , or consent of the instructor.
Fall
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MAT 4720 - Senior Seminar 3 cr
An undergraduate research seminar. Students spend the first half of the semester studying and presenting undergraduate research in mathematics. In the second half, students investigate their own topic, prepare a written report, and present their research.
Prerequisite: Math major, senior standing, or consent of the instructor.
Fall
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MAT 4810 - Internship in Mathematics 1-12 cr
Signed contract required at time of registration.
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MAT 4900 - Independent Study 1-3 cr
Open on a limited basis only and ordinarily restricted to students with upper-level standing. A personal interview with the Mathematics Department faculty is required prior to registration. NOTE: Computer related courses require payment of a materials charge.
Hours by arrangement.
Prerequisite: Consent of department chair.
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MUS 1010 - Music Appreciation 3 cr
A course in music listening. An overview of various styles, genres, historical periods, and cultures. Through guided listening and reading, students become familiar with the elements of music and develop an appropriate vocabulary for describing and discussing music.
$20.00
Every Semester
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MUS 1020 - Concerts from Castleton 3 cr
A traveling music appreciation course that takes advantage of Castleton’s proximity to first-class summer music festivals. Seminars/lectures are held before and after each performance for the purpose of introducing the music and sharing reactions. Each student writes a review of each concert, and class meeting times may vary to accommodate the concert schedule.
Fee for tickets and transportation.
Summer only
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MUS 1030 - Music Fundamentals 3 cr
An introductory course designed to develop skills in note reading and an understanding of such elements as key signatures, chord construction, and intervals. Much in-class time is spent performing.
Fee $20.
Every semester
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MUS 1040 - String Ensemble 1 cr
An ensemble for all varieties of stringed instruments. Many different styles of music are performed. Members who are interested will be encouraged to make musical arrangements for the group.
Prerequisite: Some ability to read music.
Every semester
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MUS 1041 - Class Piano I 2 cr
The student is introduced to the basic elements of playing the piano. Note reading and improvisation are studied through traditional melodies and simple chord accompaniments Music majors may test out of this course.
Fee $ 10.
Every semester
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MUS 1042 - Class Piano II 2 cr
Playing simple melodies in all keys, with more elaborate improvised accompaniments; playing simple piano pieces. Course is also designed to develop the student’s ability to sight-read a four part hymn.
Prerequisite: MUS 1041 or consent of instructor. Music majors may test out of this course.
Fee $10.
Spring
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MUS 1080 - Global Music 3 cr
This course is a study of the world’s musical cultures. The course is designed for music, music education, and non-music majors looking to develop an understanding of music in our global era.
Fee, $20.
Every Semester
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MUS 1090 - Foundations of Music Education 3 cr
Students will receive an overview of the history of music education both globally and nationally, the leading music learning theorists, and explore issues specific to music education including music assessment, classroom management in an ensemble setting, multiculturalism in music, and music advocacy.
Spring
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MUS 1091 - Sight Singing and Ear Training I 3 cr
Students develop skills in the recognition and singing of basic ptich and rhythm materials, and the realizaiton of these materials in standard music notation.
Prerequisite: Consent of instructor.
Fee $10.
Fall
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MUS 1092 - Sight Singing and Ear Training II 3 cr
Further development of skills in the recognition and singing of basic pitch and rhythm materials, and the realization of these materials in standard music notion.
Prerequisite: MUS 1091 or consent of instructor.
Fee $10.
Spring
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MUS 1210 - Chorus: Collegiate Chorale 0-1 cr
As one of Castleton’s oldest traditions, the Collegiate Chorale is comprised of music majors, minors, and non-majors, bringing a wealth of diversity and energy to the ensemble. Chorale activities include concerts each semester at Castleton, choir retreats, a regional tour in the spring, and an international tour with other department ensembles every four years. The Chorale performs a wide repertoire from different eras and cultures, and combines with community instrumentalists to perform works of a larger scale. The Collegiate Chorale has done performances and workshops with noted artists including Francois Clemmons, Esau Pritchett, and Robert DeCormier. A voice placement is required for entrance. May be repeated for credit.
Fee $ 50.
Every Semester
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MUS 1211 - Vocal Technique in the Choral Ensemble 0-1 cr
This course is designed for students who would like to improve their vocal skills in a small group setting and receive extra help learning choral repertoire. Students will explore and develop fundamentals of vocal technique, from breathing to tone production, and apply these skills to choral repertoire appropriate for college, community, and church choirs. With instructor permission, Music Education majors with strong skills may take the course as mentors and teaching assistants.
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MUS 1220 - Wind Ensemble 0-1 cr
The Castleton State College Wind Ensemble is one of the major performing ensembles on campus. The Wind Ensemble performs works in the traditional wind band repertoire as well as contemporary works of various styles. The ensemble is open to all instrumentalists at the college and select community members with a placement audition required at the beginning of the fall semester. The Wind Ensemble performs at fall commencement, spring concerts, and at local schools. May be repeated for credit. Variable credit.
Fee $50.
Every semester
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MUS 1230 - Jazz Ensemble 0-1 cr
The Castleton Jazz Ensemble is a high power big band. The group performs all genres of big band music including Swing, Be-Bop, Rock, Fusion, and Funk. Student arrangements and compositions are often featured. The group is open to all students; instrumentation includes: trumpets, saxophones, trombones and rhythm section (bass, keyboard, guitar and drums). The group performs on and off campus each semester. May be repeated for credit.
Fee $50.
Every semester
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MUS 1231 - Music Theory I 3 cr
The student is introduced to rhythm exercises, harmony (analysis, written, keyboard), elementary composition, and sight singing. Writing and performance (vocal and keyboard) skills are developed throughout the semester. Designed for students who wish to increase their understanding of the materials of music.
Prerequisite: MUS 1030 or consent of instructor. Music Majors may test out of this course.
Fee $10.
Spring
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MUS 1232 - Music Theory II 3 cr
More advanced exercises in the study of rhythm, harmony (secondary dominants and modulation), sight singing and ear training (harmonic as well as melodic dictation).
Prerequisite: MUS 1231 or consent of instructor.
Fee $10.
Fall
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MUS 1240 - Applied Music - Flute 1 cr
The purpose of Applied Music is to prepare students for either a performance career, mastery of an instrument in preparation for teaching, or advanced graduate study in music. In addition to the practice and preparation required for weekly lessons, students are required to attend recitals and concerts sponsored by or as designated by the department. Students are required to perform on recitals, prepare juried examinations and proficiency examinations. Reserved for music majors and minors only. NOTE: See music department for enrollment form and consent. May be repeated for credit. Course may NOT be added or dropped after the second week of classes.
Fee $350 per credit.
Every semester.
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MUS 1250 - Applied Music - Oboe 1 cr
The purpose of Applied Music is to prepare students for either a performance career, mastery of an instrument in preparation for teaching, or advanced graduate study in music. In addition to the practice and preparation required for weekly lessons, students are required to attend recitals and concerts sponsored by or as designated by the department. Students are required to perform on recitals, prepare juried examinations and proficiency examinations. Reserved for music majors and minors only. NOTE: See music department for enrollment form and consent. May be repeated for credit. Course may NOT be added or dropped after the second week of classes.
Fee $350 per credit.
Every semester.
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MUS 1260 - Applied Music - Bassoon 1 cr
The purpose of Applied Music is to prepare students for either a performance career, mastery of an instrument in preparation for teaching, or advanced graduate study in music. In addition to the practice and preparation required for weekly lessons, students are required to attend recitals and concerts sponsored by or as designated by the department. Students are required to perform on recitals, prepare juried examinations and proficiency examinations. Reserved for music majors and minors only. NOTE: See music department for enrollment form and consent. May be repeated for credit. Course may NOT be added or dropped after the second week of classes.
Fee $350 per credit.
Every semester.
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MUS 1270 - Applied Music - Clarinet 1 cr
The purpose of Applied Music is to prepare students for either a performance career, mastery of an instrument in preparation for teaching, or advanced graduate study in music. In addition to the practice and preparation required for weekly lessons, students are required to attend recitals and concerts sponsored by or as designated by the department. Students are required to perform on recitals, prepare juried examinations and proficiency examinations. Reserved for music majors and minors only. NOTE: See music department for enrollment form and consent. May be repeated for credit. Course may NOT be added or dropped after the second week of classes.
Fee $350 per credit.
Every semester.
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MUS 1310 - Applied Music - Saxophone 1 cr
The purpose of Applied Music is to prepare students for either a performance career, mastery of an instrument in preparation for teaching, or advanced graduate study in music. In addition to the practice and preparation required for weekly lessons, students are required to attend recitals and concerts sponsored by or as designated by the department. Students are required to perform on recitals, prepare juried examinations and proficiency examinations. Reserved for music majors and minors only. NOTE: See music department for enrollment form and consent. May be repeated for credit. Course may NOT be added or dropped after the second week of classes.
Fee $350 per credit.
Every semester.
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MUS 1320 - Applied Music - Trumpet 1 cr
The purpose of Applied Music is to prepare students for either a performance career, mastery of an instrument in preparation for teaching, or advanced graduate study in music. In addition to the practice and preparation required for weekly lessons, students are required to attend recitals and concerts sponsored by or as designated by the department. Students are required to perform on recitals, prepare juried examinations and proficiency examinations. Reserved for music majors and minors only. NOTE: See music department for enrollment form and consent. May be repeated for credit. Course may NOT be added or dropped after the second week of classes.
Fee $350 per credit.
Every semester.
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MUS 1330 - Applied Music - French Horn 1 cr
The purpose of Applied Music is to prepare students for either a performance career, mastery of an instrument in preparation for teaching, or advanced graduate study in music. In addition to the practice and preparation required for weekly lessons, students are required to attend recitals and concerts sponsored by or as designated by the department. Students are required to perform on recitals, prepare juried examinations and proficiency examinations. Reserved for music majors and minors only. NOTE: See music department for enrollment form and consent. May be repeated for credit. Course may NOT be added or dropped after the second week of classes.
Fee $350 per credit.
Every semester.
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MUS 1340 - Applied Music - Trombone 1 cr
The purpose of Applied Music is to prepare students for either a performance career, mastery of an instrument in preparation for teaching, or advanced graduate study in music. In addition to the practice and preparation required for weekly lessons, students are required to attend recitals and concerts sponsored by or as designated by the department. Students are required to perform on recitals, prepare juried examinations and proficiency examinations. Reserved for music majors and minors only. NOTE: See music department for enrollment form and consent. May be repeated for credit. Course may NOT be added or dropped after the second week of classes.
Fee $350 per credit.
Every semester.
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MUS 1350 - Applied Music - Tuba 1 cr
The purpose of Applied Music is to prepare students for either a performance career, mastery of an instrument in preparation for teaching, or advanced graduate study in music. In addition to the practice and preparation required for weekly lessons, students are required to attend recitals and concerts sponsored by or as designated by the department. Students are required to perform on recitals, prepare juried examinations and proficiency examinations. Reserved for music majors and minors only. NOTE: See music department for enrollment form and consent. May be repeated for credit. Course may NOT be added or dropped after the second week of classes.
Fee $350 per credit.
Every semester.
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MUS 1360 - Applied Music - Percussion 1 cr
The purpose of Applied Music is to prepare students for either a performance career, mastery of an instrument in preparation for teaching, or advanced graduate study in music. In addition to the practice and preparation required for weekly lessons, students are required to attend recitals and concerts sponsored by or as designated by the department. Students are required to perform on recitals, prepare juried examinations and proficiency examinations. Reserved for music majors and minors only. NOTE: See music department for enrollment form and consent. May be repeated for credit. Course may NOT be added or dropped after the second week of classes.
Fee $350 per credit.
Every semester.
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MUS 1370 - Applied Music - Violin 1 cr
The purpose of Applied Music is to prepare students for either a performance career, mastery of an instrument in preparation for teaching, or advanced graduate study in music. In addition to the practice and preparation required for weekly lessons, students are required to attend recitals and concerts sponsored by or as designated by the department. Students are required to perform on recitals, prepare juried examinations and proficiency examinations. Reserved for music majors and minors only. NOTE: See music department for enrollment form and consent. May be repeated for credit. Course may NOT be added or dropped after the second week of classes.
Fee $350 per credit.
Every semester.
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