Calendar 2005-2006 - The University of Akron

Calendar 2005-2006 - The University of Akron Calendar 2005-2006 - The University of Akron

24.11.2012 Views

238 3400:History 2005-2006 323 EUROPE FROM REVOLUTION TO WORLD WAR, 1789-1914 3 credits Surveys the political, economic, social, and cultural history of modern Europe from the French Revolution to the First World War. 324 EUROPE FROM WORLD WAR I TO THE PRESENT 3 credits A survey of European political and social history from World War I to the present. 325 WOMEN IN MODERN EUROPE 3 credits A survey of the history of women in Europe since 1500, with emphasis on their roles and the changes attendant on modernization. 335 RUSSIA TO 1801 3 credits Survey of Russian history from Kievan period to death of Paul I, emphasizing development of autocratic government, Russian culture, reigns of Peter and Catherine. 336 RUSSIA SINCE 1801 3 credits Survey of 19th and 20th Centuries. Special emphasis on problems of modernization, the revolution and development of communism. 337 FRANCE FROM NAPOLEON TO DeGAULLE 3 credits Combines a study of Napoleon and DeGaulle with a survey of the political, economic, social, and cultural/artistic trends of modern French history. 338 ENGLAND TO 1688 3 credits Survey of English history from the Anglo-Saxon conquest to the Revolution of 1688. Medieval and early modern institutions, social and cultural life. 339 ENGLAND SINCE 1688 3 credits Survey of English history from 1688 to the present. The reform of English institutions and life, modernization of the economy, the welfare state, society and war. 340 SELECTED TOPICS 3 credits Includes experimental offerings such as those crossing subject of chronological lines, and subjects not listed in this General Bulletin. See departmental office for current subject. 341 ISLAMIC FUNDAMENTALISM AND REVOLUTION 3 credits The political and socio-economic roots of Islamic reformism and militancy in the Middle East and North Africa since the 1960s. 342 THE CRUSADES THROUGH ARAB EYES 3 credits Political and military struggles, diplomatic practices and intellectual traditions of the Medieval Islamic/Arab world and the Western crusaders. 345 NATIVE NORTH AMERICAN HISTORY 3 credits The histories of Native Americans from Columbus to the present, emphasizing a half-millennium of adaptive responses to the presence of Europeans in North America. 350 U.S. WOMEN’S HISTORY 3 credits History of American women’s experiences and exploration of gender as a changing structure shaping American life from the colonial period through the 20th century. 351 GLOBAL HISTORY: ENCOUNTERS AND CONFLICTS 4 credits This course explores historical encounters between societies to explain the development of the integrated economic, political, and cultural systems presently characterizing the modern world. 352 THE AMERICAN WEST 3 credits Examination of westward movement from revolution to closing of frontier; types of frontiers; impact of west on nation’s development. 354 AMERICAN IMMIGRATION 3 credits Examination of European migrants to American colonies and United States, their reasons for leaving Europe and coming to America, and their experience after arrival. 356 SPORTS IN AMERICAN HISTORY SINCE 1865 3 credits An examination of the reciprocal relationship between sports and various institutions of society: culture, religion, politics, education, economics, race, ethnicity, diplomacy and gender. 358 URBAN AMERICA 3 credits This course looks at the significance of cities and urban development in shaping American society. 360 UNITED STATES MILITARY HISTORY 3 credits Survey of United States military history from the colonial era to the present. 361 AFRICAN-AMERICAN HISTORY, 1492 TO 1877 3 credits This course focuses on African American history, culture and heritage from 1492 to 1877. 362 AFRICAN-AMERICAN HISTORY, 1877 TO PRESENT 3 credits This course focuses on African American history, culture and heritage from 1877 to present. 381 HISTORY OF CANADA 3 credits Survey of Canadian history from the age of the explorers to the present. Special emphasis will be placed on the history of French-Canadians, on economic development and on Canadian-American relations. 382 THE VIETNAM WAR 3 credits An examination and evaluation of all aspects of the war in Vietnam, political, military, diplomatic and economic, including its impact domestically then and later. 385-391 WORLD CIVILIZATIONS Courses 385 through 391 are designed to provide a basic knowledge of past human experiences and an understanding of current events in key areas of the non-Western world. These courses can not be used to meet major requirements in History. 385 WORLD CIVILIZATIONS: CHINA 2 credits Prerequisite: 64 credits. 386 WORLD CIVILIZATIONS: JAPAN 2 credits Prerequisite: 64 credits. 387 WORLD CIVILIZATIONS: SOUTHEAST ASIA 2 credits Prerequisite: 64 credits. 388 WORLD CIVILIZATIONS: INDIA 2 credits Prerequisite: 64 credits. 389 WORLD CIVILIZATIONS: NEAR EAST 2 credits Prerequisite: 64 credits. 390 WORLD CIVILIZATIONS: AFRICA 2 credits Prerequisite: 64 credits. 391 WORLD CIVILIZATIONS: LATIN AMERICA 2 credits Prerequisite: 64 credits. 392 INTERNSHIPS IN HISTORY 3 credits Prerequisites: Junior standing, History or Secondary Education major with History/Social Science concentration, and prior completion of a minimum of 16 credits in History, not including Humanities in the Western Tradition or World Civilizations. Field experience in applied History setting under the supervision of a History Department faculty member. 397 INDIVIDUAL STUDY OR RESEARCH IN HISTORY 1-3 credits (May be repeated for a total of four credits) Prerequisite: permission. For individual study or research in history, including special projects, summer study tours or specialized training. 400/500 WOMEN IN REVOLUTIONARY CHINA 3 credits Prerequisites: 300, 301 or 385, or permission of instructor. A study of the changes in women’s lives in China during the late imperial (1644-1911) and socialist (1949-1989) periods. 401/501 JAPAN AND THE PACIFIC WAR, 1895-1945 3 credits The rise of Japanese militarism, Japan’s drive to create an empire in East and Southeast Asia, 1895-1945, and its role in the Pacific War, 1937-45. 404 STUDIES IN ROMAN HISTORY 3 credits Prerequisite: Completion of six hours of History courses at the 200 or 300 level. Concentrated investigation of selected topics, such as imperialism in middle and late Republic, the age of Augustus, or the fall of western Empire. 416/516 MODERN INDIA 3 credits History of the Indian subcontinent from c. 1500 with emphasis on India society and culture, British imperialism, and the emergence of Indian nationalism. 424/524 THE RENAISSANCE 3 credits The age of transition from the Middle Ages to modern times (1350-1600). Special emphasis on intellectual trends, the development of humanism, and the fine arts. 425/525 THE REFORMATION 3 credits Europe in 16th Century; its religious, cultural, political and diplomatic development, with special emphasis on Protestant, Anglican and Catholic reformations. 429/529 EUROPE IN THE FRENCH REVOLUTIONARY ERA, 1789-1815 3 credits Development of Revolution; Napoleon’s regime and satellites. 438/538 NAZI GERMANY 3 credits This course covers the social, economic, and political history of Germany from World War I to 1945 with emphasis on the Third Reich. 440/540 TUDOR AND STUART BRITAIN, 1485-1714 3 credits An examination of the development of, and increasing links between the British kingdoms in the early modern period, with emphasis on culture, politics, and religion. 443/543 CHURCHILL’S ENGLAND 3 credits An examination of the changes that Britain experienced during the life of Winston Churchill, 1874-1965. Emphasis is on cultural, social, and political developments. 451/551 COLONIAL AMERICAN HISTORY 3 credits This course covers the history of colonial America from the first European contact in the Americas in 1492 to the onset of the American Revolution. 452/552 THE AMERICAN REVOLUTIONARY ERA: POLITICAL, MILITARY, 3 credits AND CONSTITUTIONAL ASPECTS The struggle for the rights of Englishmen and independence; the impact of war on American society and the creation of republican institutions. 453/553 AGE OF JEFFERSON AND JACKSON, 1800-1850 3 credits The evolution of the republic in its formative stages from Jefferson through Jackson to the Compromise of 1850. Emphasis upon political, social, intellectual and Constitutional developments. 454/554 THE CIVIL WAR AND RECONSTRUCTION, 1850-1877 4 credits Sectionalism, slavery and the causes of the Civil War; wartime activities of the Union and Confederacy; leading personalities; problems of reconstruction and the new Union. 455/555 THE ORIGINS OF MODERN AMERICA, 1877-1917 3 credits United States from Reconstruction Era to World War I (1877-1920); emphasis on political responses to rise of an industrialized-urbanized society, the populist and progressive movements. 456/556 AMERICA IN WORLD WARS AND DEPRESSION, 1917-1945 3 credits World War I and Versailles; the 1920s, the Great Depression and the New Deal; World War II. 457/557 THE UNITED STATES SINCE 1945 3 credits Nuclear age, cold war, foreign policy and domestic affairs to present. Social, political, constitutional, diplomatic, cultural and economic changes since 1945. 461/561 THE UNITED STATES AS A WORLD POWER 3 credits The course analyzes the emergence and functioning of the United States as a world power, with particular emphasis on the 20th century. 463/563 U.S. CONSTITUTIONAL HISTORY 3 credits This course examines the evolution of constitutional government from the drafting of the U.S. Constitution (1787) to present. 465/565 AMERICAN ECONOMY SINCE 1900 3 credits Survey of economic developments since 1900; topics include agriculture, business and labor. Special emphasis on role of big business and evolution of monetary and fiscal policy. 467/567 HISTORY OF AMERICAN POP CULTURE 3 credits Historical analysis of mass cultural phenomena and the social experiences associated with mass technologies that transformed modern America life in the 19th and 20th centuries. 468 AFRICAN-AMERICAN SOCIAL AND INTELLECTUAL HISTORY 3 credits Examination of black thought and activities reflective of African-American culture, conditions facing black people within America and efforts toward coordinated black activity. 470/570 OHIO HISTORY 3 credits Political, social, economic and intellectual history of Ohio, with special emphasis on Ohio’s relationship to Old Northwest and to the nation.

471/571 AMERICAN ENVIRONMENTAL HISTORY 3 credits Utilization, conservation of natural resources from beginnings of American society to present; combination of economic, technological history of extensive treatment of public policy, environmental issues. 472/572 LATIN AMERICA: ORIGINS OF NATIONALITY 3 credits Pre-Columbian civilizations, discovery and conquests; colonialism, struggle for independence and formation of new societies. 473/573 LATIN AMERICA: THE 20TH CENTURY 3 credits Social revolution, political ideology and contemporary problems. 476/576 CENTRAL AMERICA AND THE CARIBBEAN 3 credits Selected aspects of the histories of Central American and Caribbean countries with emphasis on populist and peasant movements, political reform, social revolution, economic and under development, and relations with the United States. 484/584 MUSEUMS AND ARCHIVES 3 credits This course will focus on the work of history museums, historical societies and historic house museums and archives. 485/585 HISTORY, COMMUNITIES AND MEMORY 3 credits Course examines the interactions between the work of academic historians and the public in areas such as local history, monuments, oral history, film and the Internet. 487/587 SCIENCE AND TECHNOLOGY IN U.S. HISTORY 3 credits This course examines the development of science and technology in U.S. history and its resulting social, economic and political effects. 492 HONORS PROJECT 1-3 credits (May be repeated for a total of six credits) Prerequisite: senior standing in Honors College. An individual research project relevant to history, supervised by a member of the Department of History, culminating in an undergraduate thesis. 493/593 SPECIAL STUDIES IN HISTORY 3 credits Includes experimental and interdisciplinary studies, as well as those subjects that are not listed in this General Bulletin. See departmental office for information on particular offerings. MATHEMATICS 3450: 100 INTERMEDIATE ALGEBRA 3 credits Prerequisite: Placement. A review of high school algebra: real numbers, exponents, radicals, factoring, linear and quadratic equations, graphing, and problem solving. Does not meet General Studies mathematics requirement. 140 MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS I 3 credits Prerequisites: Completion of 100 with a grade of C- or better or placement test. Enrollment limited to educations majors only. A problem-solving and inquiry-based approach to number systems; bases; operations, properties, relationships, algorithms of Real Numbers. Introduction to number theory, functions, algebra and coordinate geometry. 141 ALGEBRA WITH BUSINESS APPLICATIONS 3 credits Prerequisites: Mathematics Placement Test or completion of 100 with a grade of C- or better. Solving, graphing equations; inequalities; algebraic operations; functions, including exponential, logarithmic; matrix operations; systems of equations; simplex method. For students interested in business. Graphing calculator required. 145 COLLEGE ALGEBRA 4 credits Prerequisite: Mathematics Placement Test or completion of 100 with a grade of C- or better. Real numbers, equations and inequalities, linear and quadratic functions. Exponential and logarithmic functions. Systems of equations, matrices, determinants. Permutations and combinations. 147 TRIGONOMETRY AND ADVANCED ALGEBRA 3 credits Prerequisites: 145 with grade of C- or better or placement. Topics covered : Trigonometric functions, Analytical Trigonometry, Applications of Trigonometric Functions, Analytical Geometry, Systems of Equations, Sequences, Induction, and the Binomial Theorem. 149 PRECALCULUS MATHEMATICS 4 credits Prerequisite: Completion of 145 with a grade of C- or better or placement. Functions, polynomial functions, complex numbers, exponential and logarithmic functions, systems of equations, trigonometric functions, mathematical inductions, sequences, and binomial theorem. 208 INTRODUCTION TO DISCRETE MATHEMATICS 4 credits Prerequisites: Completion of 145 or 149 with a grade of C- or better or placement. A foundation course in discrete mathematics with applications. Topics include sets, number systems, Boolean Algebra, logic, relations, functions, recursion, matrices, induction, graphs, and trees. 210 CALCULUS WITH BUSINESS APPLICATIONS 3 credits Prerequisites: Mathematics Placement Test or completion of 141 or 145 with a grade of C- or better. Review of functions, derivatives of functions, extrema and concavity, optimization, logarithmic and exponential functions, extrema for multivariate functions. Graphing calculator required. For business majors only. 215 CONCEPTS OF CALCULUS 4 credits Prerequisite: Completion of 145 or 149 with a grade of C- or better or placement. Functions; limits and continuity; differentiation and applications of differentiation; logarithmic and exponential functions; integration and applications of integration; partial differentiation. 221 ANALYTIC GEOMETRY-CALCULUS I 4 credits Prerequisite: Completion of 149 or 145 and 147 with the grade(s) of C- or better. Analytic geometry, limits, continuity, derivatives, tangent and normal lines, extrema of functions, Rolle’s theorem, mean value theorem, related rates, antiderivatives, definite integrals, areas, volumes, arc length. 222 ANALYTIC GEOMETRY-CALCULUS II 4 credits Prerequisite: Completion of 221 with a grade of C- or better. Derivatives of exponential, logarithmic trigonometric, inverse trigonometric, hyperbolic and inverse hyperbolic functions; methods of integration, sequences, series; moments, centroids, indeterminate forms, polar coordinates. 3450:Mathematics 2005-2006 239 223 ANALYTIC GEOMETRY-CALCULUS III 4 credits Prerequisite: Completion of 222 with a grade of C- or better. Vector algebra, cylindrical, spherical coordinates, vector-valued functions, curvature; functions of several variables, limit, continuity, partial derivatives, differentials, directional derivatives, maxima and minima, multiple integrals, Divergence Theorem. 260 MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS II 3 credits Prerequisite: Completion of 140 with a grade of C- or better. A problem-solving and inquirybased approach to fundamentals of Euclidean Geometry and elementary data analysis via handson activities and the use of technology. 289 SELECTED TOPICS IN MATHEMATICS 1-3 credits Prerequisite: permission. Selected topics of interest in mathematics. 307 FUNDAMENTALS OF ADVANCED MATHEMATICS 3 credits Prerequisite: Completion of 222 with a grade of C- or better. Logic, solving problems, and doing proofs in mathematics. Sets, extended set operations, and indexed family sets, induction. Binary relations. Functions, cardinality. Introductory concepts of algebra and analysis. 312 LINEAR ALGEBRA 3 credits Prerequisite: Completion of 223 with a grade of C- or better or permission of instructor. Study of vector spaces, linear transformations, matrices, determinants, inner products, the eigenvalue problem, quadratic forms and canonical forms. 335 INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS 3 credits Prerequisite: Completion of 223 with a grade of C- or better or permission of instructor. Basic techniques for solving ODEs and systems of ODEs. Analysis of models involving differential equations of first order and simple equations of second order. 401/501 HISTORY OF MATHEMATICS 3 credits Prerequisite: Completion of 307 with a grade of C- or better. Origin and development of mathematical ideas. 410/510 ADVANCED LINEAR ALGEBRA 3 credits Prerequisite: Completion of 312 with a grade of C- or better. Study of vector spaces, linear transformation, canonical and quadratic forms, inner product spaces. 411/511 ABSTRACT ALGEBRA I 3 credits Prerequisite: Completion of 307 with a grade of C- or better or permission of instructor. Study of groups, rings, fields, integral domains. 412/512 ABSTRACT ALGEBRA II 3 credits Prerequisite: Completion of 411/511 with a grade of C- or better or permission of instructor. Study of groups, rings, fields, integral domains, vector spaces, field extensions, Galois theory. 413/513 THEORY OF NUMBERS 3 credits Prerequisite: Completion of 222 with a grade of C- or better or permission. Euclidean algorithm, unique factorization theorem, congruences, primitive roots, indices, quadratic residues, numbertheoretic functions, Gaussian integers and continued fractions. 415/515 COMBINATORICS AND GRAPH THEORY 3 credits Prerequisite: Completion of 222 with a grade of C- or better or permission. Introduction to basic ideas and techniques of mathematical counting; properties of structure of systems. 420/520 MATHEMATICAL TECHNOLOGY AND COMMUNICATION 3 credits Prerequisites: Completion of 222 and 312 with grades of C- or better, or permission. Graphical, numerical and algebraic computation with applications using a variety of mathematical hardware and software: symbolic manipulators, dynamic geometry software, programs, scripts and webbrowsers. 421,2/521,2 ADVANCED CALCULUS I AND II 3 credits each Sequential. Prerequisite: Completion of 223 with a grade of C- or better; 307 is highly recommended. Real number system, sequences, series, set theory, continuity, differentiation, integration, partial derivatives, multiple integration, maxima and minima, convergence and uniform convergence, power series, improper integrals, transformations, line and surface integrals. 425/525 COMPLEX VARIABLES 3 credits Prerequisite: Completion of 223 with a grade of C- or better. Complex variables; elementary functions, differentiation and analytic functions; integration and Cauchy’s theorem; power series and Laurent series; residue theorem; applications such as conformal mappings, inversion of integral transform. 427/527APPLIED NUMERICAL METHODS I 3 credits Prerequisites: Completion of 222 and 3460:209 with grades of C- or better or permission. Numerical methods in polynomial interpolation, rootfinding, numerical integration, and numerical linear algebra. 428/528 APPLIED NUMERICAL METHODS II 3 credits Prerequisites: Completion of 335 and 427 with grades of C- or better or permission. Numerical methods in the solution of ordinary and partial differential equations. Numerical differentiation, Runge-Kutta methods, and iterative methods for ODEs, finite differences for PDEs. 430/530 NUMERICAL SOLUTIONS FOR PARTIAL DIFFERENTIAL EQUATIONS 3 credits Prerequisite: Completion of 428/528 with a grade of C- or better or equivalent. For advanced undergraduate and graduate students. The study of finite difference and finite element methods for partial differential equations consistency, stability, convergence and computer implementation. 432/532 PARTIAL DIFFERENTIAL EQUATIONS 4 credits Prerequisite: Completion of 335 with a grade of C- or better. The classical initial value and boundary value problems of mathematical physics developed and solved using Fourier series and integral transforms. 435/535 SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS 3 credits Prerequisites: Completion of 335 and either 312 or 428 with grades of C- or better or permission. Analysis, solution of systems of equations, linear, nonlinear. Topics: stability theory, perturbation methods, asymptotic methods, applications from physical, social sciences. 436/536 MATHEMATICAL MODELS 3 credits Prerequisite: Completion of 335 with a grade of C- or better, and a six-hour sequence in an approved applied area, or permission. Formulation and analysis of mathematical models in social and physical sciences. Analysis of deterministic and stochastic models. Topics may include stochastic processes, linear programming, graph theory, theory of measurement.

471/571 AMERICAN ENVIRONMENTAL HISTORY 3 credits<br />

Utilization, conservation <strong>of</strong> natural resources from beginnings <strong>of</strong> American society to present;<br />

combination <strong>of</strong> economic, technological history <strong>of</strong> extensive treatment <strong>of</strong> public policy, environmental<br />

issues.<br />

472/572 LATIN AMERICA: ORIGINS OF NATIONALITY 3 credits<br />

Pre-Columbian civilizations, discovery and conquests; colonialism, struggle for independence<br />

and formation <strong>of</strong> new societies.<br />

473/573 LATIN AMERICA: THE 20TH CENTURY 3 credits<br />

Social revolution, political ideology and contemporary problems.<br />

476/576 CENTRAL AMERICA AND THE CARIBBEAN 3 credits<br />

Selected aspects <strong>of</strong> the histories <strong>of</strong> Central American and Caribbean countries with emphasis on<br />

populist and peasant movements, political reform, social revolution, economic and under development,<br />

and relations with the United States.<br />

484/584 MUSEUMS AND ARCHIVES 3 credits<br />

This course will focus on the work <strong>of</strong> history museums, historical societies and historic house<br />

museums and archives.<br />

485/585 HISTORY, COMMUNITIES AND MEMORY 3 credits<br />

Course examines the interactions between the work <strong>of</strong> academic historians and the public in<br />

areas such as local history, monuments, oral history, film and the Internet.<br />

487/587 SCIENCE AND TECHNOLOGY IN U.S. HISTORY 3 credits<br />

This course examines the development <strong>of</strong> science and technology in U.S. history and its resulting<br />

social, economic and political effects.<br />

492 HONORS PROJECT 1-3 credits<br />

(May be repeated for a total <strong>of</strong> six credits) Prerequisite: senior standing in Honors College. An<br />

individual research project relevant to history, supervised by a member <strong>of</strong> the Department <strong>of</strong><br />

History, culminating in an undergraduate thesis.<br />

493/593 SPECIAL STUDIES IN HISTORY 3 credits<br />

Includes experimental and interdisciplinary studies, as well as those subjects that are not listed<br />

in this General Bulletin. See departmental <strong>of</strong>fice for information on particular <strong>of</strong>ferings.<br />

MATHEMATICS<br />

3450:<br />

100 INTERMEDIATE ALGEBRA 3 credits<br />

Prerequisite: Placement. A review <strong>of</strong> high school algebra: real numbers, exponents, radicals, factoring,<br />

linear and quadratic equations, graphing, and problem solving. Does not meet General<br />

Studies mathematics requirement.<br />

140 MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS I 3 credits<br />

Prerequisites: Completion <strong>of</strong> 100 with a grade <strong>of</strong> C- or better or placement test. Enrollment limited<br />

to educations majors only. A problem-solving and inquiry-based approach to number systems;<br />

bases; operations, properties, relationships, algorithms <strong>of</strong> Real Numbers. Introduction to number<br />

theory, functions, algebra and coordinate geometry.<br />

141 ALGEBRA WITH BUSINESS APPLICATIONS 3 credits<br />

Prerequisites: Mathematics Placement Test or completion <strong>of</strong> 100 with a grade <strong>of</strong> C- or better.<br />

Solving, graphing equations; inequalities; algebraic operations; functions, including exponential,<br />

logarithmic; matrix operations; systems <strong>of</strong> equations; simplex method. For students interested<br />

in business. Graphing calculator required.<br />

145 COLLEGE ALGEBRA 4 credits<br />

Prerequisite: Mathematics Placement Test or completion <strong>of</strong> 100 with a grade <strong>of</strong> C- or better. Real<br />

numbers, equations and inequalities, linear and quadratic functions. Exponential and logarithmic<br />

functions. Systems <strong>of</strong> equations, matrices, determinants. Permutations and combinations.<br />

147 TRIGONOMETRY AND ADVANCED ALGEBRA 3 credits<br />

Prerequisites: 145 with grade <strong>of</strong> C- or better or placement. Topics covered : Trigonometric functions,<br />

Analytical Trigonometry, Applications <strong>of</strong> Trigonometric Functions, Analytical Geometry,<br />

Systems <strong>of</strong> Equations, Sequences, Induction, and the Binomial <strong>The</strong>orem.<br />

149 PRECALCULUS MATHEMATICS 4 credits<br />

Prerequisite: Completion <strong>of</strong> 145 with a grade <strong>of</strong> C- or better or placement. Functions, polynomial<br />

functions, complex numbers, exponential and logarithmic functions, systems <strong>of</strong> equations,<br />

trigonometric functions, mathematical inductions, sequences, and binomial theorem.<br />

208 INTRODUCTION TO DISCRETE MATHEMATICS 4 credits<br />

Prerequisites: Completion <strong>of</strong> 145 or 149 with a grade <strong>of</strong> C- or better or placement. A foundation<br />

course in discrete mathematics with applications. Topics include sets, number systems,<br />

Boolean Algebra, logic, relations, functions, recursion, matrices, induction, graphs, and trees.<br />

210 CALCULUS WITH BUSINESS APPLICATIONS 3 credits<br />

Prerequisites: Mathematics Placement Test or completion <strong>of</strong> 141 or 145 with a grade <strong>of</strong> C- or<br />

better. Review <strong>of</strong> functions, derivatives <strong>of</strong> functions, extrema and concavity, optimization, logarithmic<br />

and exponential functions, extrema for multivariate functions. Graphing calculator<br />

required. For business majors only.<br />

215 CONCEPTS OF CALCULUS 4 credits<br />

Prerequisite: Completion <strong>of</strong> 145 or 149 with a grade <strong>of</strong> C- or better or placement. Functions; limits<br />

and continuity; differentiation and applications <strong>of</strong> differentiation; logarithmic and exponential<br />

functions; integration and applications <strong>of</strong> integration; partial differentiation.<br />

221 ANALYTIC GEOMETRY-CALCULUS I 4 credits<br />

Prerequisite: Completion <strong>of</strong> 149 or 145 and 147 with the grade(s) <strong>of</strong> C- or better. Analytic geometry,<br />

limits, continuity, derivatives, tangent and normal lines, extrema <strong>of</strong> functions, Rolle’s theorem,<br />

mean value theorem, related rates, antiderivatives, definite integrals, areas, volumes, arc<br />

length.<br />

222 ANALYTIC GEOMETRY-CALCULUS II 4 credits<br />

Prerequisite: Completion <strong>of</strong> 221 with a grade <strong>of</strong> C- or better. Derivatives <strong>of</strong> exponential, logarithmic<br />

trigonometric, inverse trigonometric, hyperbolic and inverse hyperbolic functions; methods<br />

<strong>of</strong> integration, sequences, series; moments, centroids, indeterminate forms, polar coordinates.<br />

3450:Mathematics <strong>2005</strong>-<strong>2006</strong> 239<br />

223 ANALYTIC GEOMETRY-CALCULUS III 4 credits<br />

Prerequisite: Completion <strong>of</strong> 222 with a grade <strong>of</strong> C- or better. Vector algebra, cylindrical, spherical<br />

coordinates, vector-valued functions, curvature; functions <strong>of</strong> several variables, limit, continuity,<br />

partial derivatives, differentials, directional derivatives, maxima and minima, multiple integrals,<br />

Divergence <strong>The</strong>orem.<br />

260 MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS II 3 credits<br />

Prerequisite: Completion <strong>of</strong> 140 with a grade <strong>of</strong> C- or better. A problem-solving and inquirybased<br />

approach to fundamentals <strong>of</strong> Euclidean Geometry and elementary data analysis via handson<br />

activities and the use <strong>of</strong> technology.<br />

289 SELECTED TOPICS IN MATHEMATICS 1-3 credits<br />

Prerequisite: permission. Selected topics <strong>of</strong> interest in mathematics.<br />

307 FUNDAMENTALS OF ADVANCED MATHEMATICS 3 credits<br />

Prerequisite: Completion <strong>of</strong> 222 with a grade <strong>of</strong> C- or better. Logic, solving problems, and doing<br />

pro<strong>of</strong>s in mathematics. Sets, extended set operations, and indexed family sets, induction. Binary<br />

relations. Functions, cardinality. Introductory concepts <strong>of</strong> algebra and analysis.<br />

312 LINEAR ALGEBRA 3 credits<br />

Prerequisite: Completion <strong>of</strong> 223 with a grade <strong>of</strong> C- or better or permission <strong>of</strong> instructor. Study <strong>of</strong><br />

vector spaces, linear transformations, matrices, determinants, inner products, the eigenvalue<br />

problem, quadratic forms and canonical forms.<br />

335 INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS 3 credits<br />

Prerequisite: Completion <strong>of</strong> 223 with a grade <strong>of</strong> C- or better or permission <strong>of</strong> instructor. Basic<br />

techniques for solving ODEs and systems <strong>of</strong> ODEs. Analysis <strong>of</strong> models involving differential<br />

equations <strong>of</strong> first order and simple equations <strong>of</strong> second order.<br />

401/501 HISTORY OF MATHEMATICS 3 credits<br />

Prerequisite: Completion <strong>of</strong> 307 with a grade <strong>of</strong> C- or better. Origin and development <strong>of</strong> mathematical<br />

ideas.<br />

410/510 ADVANCED LINEAR ALGEBRA 3 credits<br />

Prerequisite: Completion <strong>of</strong> 312 with a grade <strong>of</strong> C- or better. Study <strong>of</strong> vector spaces, linear transformation,<br />

canonical and quadratic forms, inner product spaces.<br />

411/511 ABSTRACT ALGEBRA I 3 credits<br />

Prerequisite: Completion <strong>of</strong> 307 with a grade <strong>of</strong> C- or better or permission <strong>of</strong> instructor. Study <strong>of</strong><br />

groups, rings, fields, integral domains.<br />

412/512 ABSTRACT ALGEBRA II 3 credits<br />

Prerequisite: Completion <strong>of</strong> 411/511 with a grade <strong>of</strong> C- or better or permission <strong>of</strong> instructor.<br />

Study <strong>of</strong> groups, rings, fields, integral domains, vector spaces, field extensions, Galois theory.<br />

413/513 THEORY OF NUMBERS 3 credits<br />

Prerequisite: Completion <strong>of</strong> 222 with a grade <strong>of</strong> C- or better or permission. Euclidean algorithm,<br />

unique factorization theorem, congruences, primitive roots, indices, quadratic residues, numbertheoretic<br />

functions, Gaussian integers and continued fractions.<br />

415/515 COMBINATORICS AND GRAPH THEORY 3 credits<br />

Prerequisite: Completion <strong>of</strong> 222 with a grade <strong>of</strong> C- or better or permission. Introduction to basic<br />

ideas and techniques <strong>of</strong> mathematical counting; properties <strong>of</strong> structure <strong>of</strong> systems.<br />

420/520 MATHEMATICAL TECHNOLOGY AND COMMUNICATION 3 credits<br />

Prerequisites: Completion <strong>of</strong> 222 and 312 with grades <strong>of</strong> C- or better, or permission. Graphical,<br />

numerical and algebraic computation with applications using a variety <strong>of</strong> mathematical hardware<br />

and s<strong>of</strong>tware: symbolic manipulators, dynamic geometry s<strong>of</strong>tware, programs, scripts and webbrowsers.<br />

421,2/521,2 ADVANCED CALCULUS I AND II 3 credits each<br />

Sequential. Prerequisite: Completion <strong>of</strong> 223 with a grade <strong>of</strong> C- or better; 307 is highly recommended.<br />

Real number system, sequences, series, set theory, continuity, differentiation, integration,<br />

partial derivatives, multiple integration, maxima and minima, convergence and uniform convergence,<br />

power series, improper integrals, transformations, line and surface integrals.<br />

425/525 COMPLEX VARIABLES 3 credits<br />

Prerequisite: Completion <strong>of</strong> 223 with a grade <strong>of</strong> C- or better. Complex variables; elementary<br />

functions, differentiation and analytic functions; integration and Cauchy’s theorem; power series<br />

and Laurent series; residue theorem; applications such as conformal mappings, inversion <strong>of</strong> integral<br />

transform.<br />

427/527APPLIED NUMERICAL METHODS I 3 credits<br />

Prerequisites: Completion <strong>of</strong> 222 and 3460:209 with grades <strong>of</strong> C- or better or permission.<br />

Numerical methods in polynomial interpolation, rootfinding, numerical integration, and numerical<br />

linear algebra.<br />

428/528 APPLIED NUMERICAL METHODS II 3 credits<br />

Prerequisites: Completion <strong>of</strong> 335 and 427 with grades <strong>of</strong> C- or better or permission. Numerical<br />

methods in the solution <strong>of</strong> ordinary and partial differential equations. Numerical differentiation,<br />

Runge-Kutta methods, and iterative methods for ODEs, finite differences for PDEs.<br />

430/530 NUMERICAL SOLUTIONS FOR PARTIAL DIFFERENTIAL EQUATIONS 3 credits<br />

Prerequisite: Completion <strong>of</strong> 428/528 with a grade <strong>of</strong> C- or better or equivalent. For advanced<br />

undergraduate and graduate students. <strong>The</strong> study <strong>of</strong> finite difference and finite element methods<br />

for partial differential equations consistency, stability, convergence and computer implementation.<br />

432/532 PARTIAL DIFFERENTIAL EQUATIONS 4 credits<br />

Prerequisite: Completion <strong>of</strong> 335 with a grade <strong>of</strong> C- or better. <strong>The</strong> classical initial value and boundary<br />

value problems <strong>of</strong> mathematical physics developed and solved using Fourier series and integral<br />

transforms.<br />

435/535 SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS 3 credits<br />

Prerequisites: Completion <strong>of</strong> 335 and either 312 or 428 with grades <strong>of</strong> C- or better or permission.<br />

Analysis, solution <strong>of</strong> systems <strong>of</strong> equations, linear, nonlinear. Topics: stability theory, perturbation<br />

methods, asymptotic methods, applications from physical, social sciences.<br />

436/536 MATHEMATICAL MODELS 3 credits<br />

Prerequisite: Completion <strong>of</strong> 335 with a grade <strong>of</strong> C- or better, and a six-hour sequence in an<br />

approved applied area, or permission. Formulation and analysis <strong>of</strong> mathematical models in social<br />

and physical sciences. Analysis <strong>of</strong> deterministic and stochastic models. Topics may include stochastic<br />

processes, linear programming, graph theory, theory <strong>of</strong> measurement.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!