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LAT 1010 - Basic Latin II
Continuation of 1000.
Prerequisites & Corequisites: Prerequisite: LAT 1000 or equivalent.
Credits: 4 hours
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LAT 2000 - An Introduction to the Study of Latin Literature
A review of Latin grammar based on selections from Latin authors representing various genres, for example: history, satire, political oratory, lyric poetry, comic drama.
Prerequisites & Corequisites: Prerequisite: LAT 1010 or equivalent.
Credits: 4 hours
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LAT 2010 - Latin Composition
The course will cover fundamentals of writing Latin correctly and well, including grammar, idiom, word-choice, clarity, and elegance. While the course will emphasize ancient models of Latin writing, later examples may be studied. Topics for composition may include contemporary as well as ancient subjects.
Prerequisites & Corequisites: Prerequisite: LAT 2000.
Credits: 4 hours
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LAT 2030 - Cicero
Selections from the writing of Cicero with special attention to improving reading skills while studying the thought and style of one of Rome’s leading statesmen and orators.
Prerequisites & Corequisites: Prerequisite: LAT 2000.
Credits: 4 hours
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LAT 2040 - Vergil
Readings from the works of Vergil especially the Aeneid, with particular attention to improving language skills while exploring Vergil’s thought and style.
Prerequisites & Corequisites: Prerequisite: LAT 2000 or equivalent.
Credits: 4 hours
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LAT 3240 - Latin Literature
Selections from Latin prose and poetry. Since specific readings vary according to genre, author, or period, this course may be repeated for credit.
Prerequisites & Corequisites: Prerequisite: LAT 2000 or equivalent.
Credits: 4 hours
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LAT 4770 - Foreign Study
Student participation in departmentally approved program of study abroad. Repeatable for credit up to 32 credit hours.
Prerequisites & Corequisites: Prerequisite: Prior permission of departmental advisor and chairperson.
Credits: Variable
Semester Offered: (Fall-Winter 1 to 16 hours) Spring-Summer 1 to 8 hours
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LAT 5200 - Topics in Latin Linguistics and Language Science
The advanced study of a language or a group of languages from a scientific point of view, such as the function and status of languages in society, the comparative history of different language families or the manipulation of language for pragmatic needs across cultures. May be offered as ARAB/CHIN/FREN/GER/ GREK/ITAL/JPNS/LAT/RUSS 5200.
Prerequisites & Corequisites: Prerequisites: Completion of 4 courses in area of specialization.
Notes: 5000-level courses may be taken only by advanced undergraduate students. Advanced undergraduate students are defined as those who have satisfactorily completed a minimum of four courses, or equivalent, applicable toward a major or minor in any one language. Each course, however, may have more specific and/or additional prerequisites.
Credits: 3 hours
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LAT 5500 - Independent Study in Latin
Directed, individual study of a specific topic in Latin literature or linguistics. Departmental approval required for admission. Repeatable for credit.
Prerequisites & Corequisites: Prerequisite: A minimum grade point average of 3.0 in the major.
Notes: 5000-level courses may be taken only by advanced undergraduate students. Advanced undergraduate students are defined as those who have satisfactorily completed a minimum of four courses, or equivalent, applicable toward a major or minor in any one language. Each course, however, may have more specific and/or additional prerequisites.
Credits: 1 to 3 hours
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LAT 5570 - Teaching of Latin
The purpose of the course is to acquaint the prospective teacher with theory and practice appropriate to the teaching of the Latin language, literature, and culture in its classical context and as it relates to the modern world. Required of Latin teaching majors and minors.
Prerequisites & Corequisites: Prerequisites: Completion of four courses, or equivalent, in Latin; or permission of instructor.
Notes: 5000-level courses may be taken only by advanced undergraduate students. Advanced undergraduate students are defined as those who have satisfactorily completed a minimum of four courses, or equivalent, applicable toward a major or minor in any one language. Each course, however, may have more specific and/or additional prerequisites.
Credits: 3 hours
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LAT 5600 - Medieval Latin
A survey of the development of medieval Latin from late antiquity to the Renaissance. Specimens will include major literary and documentary sources of the medieval centuries including new genres such as hagiography, monastic rules, hymns, and homilies.
Prerequisites & Corequisites: Prerequisite: One of LAT 2000, 2010, 2040, 3240, or equivalent, or permission of the department.
Notes: 5000-level courses may be taken only by advanced undergraduate students. Advanced undergraduate students are defined as those who have satisfactorily completed a minimum of four courses, or equivalent, applicable toward a major or minor in any one language. Each course, however, may have more specific and/or additional prerequisites.
Credits: 4 hours
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LAW 1500 - Personal Law
Personal Law studies some of the legal problems faced in everyday living, such as traffic infractions, rental and property laws, consumer disputes, insurance, and wills. It presents a practical approach, which also provides a fundamental basis for further legal study. May not be taken to fulfill BBA requirements.
Credits: 3 hours
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LAW 3500 - Computer Law
Students will learn how the legal systems of the United States and other countries address the legal challenges raised by rapidly changing computer technology. Students will learn what laws apply to their business and personal actions so that they can make the most appropriate decisions. However, more importantly, students will learn how those laws were passed and why.
Credits: 3 hours
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LAW 3800 - Legal Environment
An introduction to the legal environment in society. An examination of the role of law in society, the structure of the American legal system and the basic legal principles governing individual conduct.
Credits: 3 hours
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LAW 3810 - Ecology and the Law
The study of law as it relates to people’s efforts to protect the environment. Included will be an examination of traditional common law principles and federal and state statutes relating to environmental protection, analysis of recent cases, and discussion of techniques for the effective use of administrative procedures of the various environmental protection agencies.
Credits: 3 hours
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LAW 3820 - Business Law
The study of law affecting common business transactions. The course examines the formation and performance of contracts, basic types of property interests, and key aspects of laws affecting commercial paper. Sales law, creditor-debtor relationships, and estate planning laws are briefly discussed.
Prerequisites & Corequisites: Prerequisite: LAW 3800.
Credits: 3 hours
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LAW 3830 - Commercial Law
The study of law affecting the organization and operation of business firms. Organizational concerns focus on partnership and corporation laws and regulations affecting the issuing and sale of corporate securities. The agency relationship and related laws that affect the operation of business activities are also examined.
Prerequisites & Corequisites: Prerequisite: LAW 3800.
Credits: 3 hours
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LAW 3840 - Criminal Law and Procedure
This course surveys the laws and procedures underlying the American criminal justice system. After an introduction to the philosophy and sources of criminal law, the course investigates the legal definition of particular crimes and studies their elements. Legal procedures from arrest, through pre-trial and trial phases, to sentencing, probation and parole are also considered, together with relevant evidentiary topics.
Prerequisites & Corequisites: Prerequisite: SOC 2620 or consent of instructor.
Credits: 4 hours
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LAW 3850 - e-Business Law
This course examines the legal aspects of electronic business. Law is an essential part of any study of electronic business since law provides three types of infrastructure required for any economic system to function, including electronic business. First, law defines what is property (i.e., the objects of trade and ownership - without property definitions, the whole idea of business falls apart). Second, law plays an integral part in the creation of a secure system of payment for the purchase items on the Internet. Finally, law provides an enforcement mechanism is needed to punish transgressions of the substantive rules that govern electronic business. This course will also examine ethical concerns involved in electronic business.
Prerequisites & Corequisites: Prerequisite: LAW 3500 or LAW 3800.
Credits: 3 hours
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LAW 4820 - Employment Law
A survey of laws affecting management-labor relations. The course examines general employer-employee relationships, emphasizing the hiring and firing of employees, employee benefit programs, workman’s compensation laws, and civil rights rules and regulations.
Prerequisites & Corequisites: Prerequisite: LAW 3800.
Credits: 3 hours
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LAW 4830 - Real Estate Law
The study of land ownership, sales agreements, mortgages, land contracts, leases, zoning, condemnation and urban land development problems.
Prerequisites & Corequisites: Prerequisite: LAW 3800.
Credits: 3 hours
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LAW 4840 - International Business Law
A study of national, regional and international laws which affect the conduct of international business. An examination of the legal regulations which promote or restraint trade or investment by international business firms.
Prerequisites & Corequisites: Prerequisite: LAW 3800.
Credits: 3 hours
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LAW 4860 - Marketing and Sales Law
The course examines the law as it applies to the sale of goods, warranties affecting such sales and the methods of financing those sales. Legal obligations imposed upon and risks assumed by the seller are emphasized.
Prerequisites & Corequisites: Prerequisite: LAW 3800.
Credits: 3 hours
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LAW 4980 - Readings and Research in Commercial Law
Directed individual study of finance or legal problems which are not treated in departmental course offerings.
Prerequisites & Corequisites: Prerequisite: Written consent of instructor and department chair is required.
Credits: 1 to 3 hours
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LS 1030 - Critical and Creative Reading
Designed to develop practical application of principles of critical reading through extensive use of content area textbooks. Course will stress author’s purpose, summarizing, and outlining for academic efficiency.
Credits: 2 hours
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LS 1040 - Effective Reading for College Students
Designed to provide the student with skills in vocabulary development, comprehension, and reading efficiency. Attention is given to the effective use of text and reference books in academic subjects, inferential reading, and synthesis of main ideas.
Credits: 2 hours
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LS 1060 - Effective College Reading for International Students
This course focuses on vocabulary development and comprehension, including an emphasis on correct pronunciation, word analysis, factual and inferential thinking, and synthesis of ideas. Course is graded on a credit/no credit basis.
Prerequisites & Corequisites: Prerequisite: Results of TOEFL or MTELP.
Credits: 2 hours
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LS 3010 - Secondary Content Literacy
This course explores content literacy as it relates to the acquisition of new knowledge in various subject areas. Students will apply the cognitive components of content literacy through assessment of learners and subject area materials, as well as instructional procedures designed to meet the needs of diverse students. Requires participating in a secondary classroom for a minimum of two class periods three days per week.
Prerequisites & Corequisites: Prerequisite: ED 3000. Corequisite: ED 3020.
Credits: 3 hours
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LS 3050 - K-12 Content Area Literacy
This course is designed to provide the K-12 preservice content area teacher (Art; Health, Physical Education, and Recreation; Music; Vocational Education) with the knowledge and skills necessary to assist students in using the language processes-reading, writing, speaking, listening, thinking, as well as performance-as tools for learning. Students will explore the following topics: 1) factors affecting the learner; 2) instructional methods designed to meet the needs of a diverse population; 3) the nature of the reading process and reading to learn; 4) implications of current research on teaching and learning; 5) ways to integrate language arts across the curriculum. The major goal of the course is the application of course concepts and strategies to subject area instruction.
Prerequisites & Corequisites: Prerequisites: ED 2500 and admission to the College of Education.
Credits: 3 hours
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LS 3770 - Literacy I: Literacy/Language Development in Emergent and Beginning Literacy
This course addresses language and literacy development processes in emergent and beginning readers and writers in pre-K through 3rd grade classrooms. Studying proficient readers’ use of the reading/writing processes, students (teacher candidates) will learn how to support young learners’ first experiences in bringing meaning to print. Students will focus on the symbolic system of written language including the four cueing systems: phonemic and morphemic (phonics) semantic, syntactic, and pragmatic. Students will explore social, cultural, and dynamic nature of language and how these factors influence young learners’ literacy instructional needs. Students will learn to select multiple materials and assessments to identify young learners’ strengths, and needs, and engage in best practices to address these needs based on learners’ strengths. Students will learn how to communicate effectively with parents and colleagues about young learners’ developing progress. A field placement is required with this course. Students are to successfully complete a 20 hour-practicum in a pre-kindergarten, kindergarten, 1st, 2nd, or 3rd grade classroom. This course includes Michigan Framework standards as well as Michigan Literacy Progress Profile modules (MLPP) for grades K-3. Designed for students seeking K-8 certification.
Prerequisites & Corequisites: Prerequisites: ED 3090 or ED3100. These courses may be taken concurrently.
Credits: 3 hours
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LS 3780 - Literacy II: Literacy/Language Arts Development in the Content Areas
This course explores ways in which various teaching methods, materials, and assessments foster independent and strategic uses of literacy for young students in grades 4 through 8. Students (teacher candidates) will explore and participate in literacy as a social, cultural, and psychological process. The emphasis will be on upper elementary/middle level students and how they learn and create meaning in their lives through literacy. Students will study ways to integrate literacy learning across all school subjects through a wide application of varied “texts” to meet both mandated curricular purposes and the needs of diverse learners. Students will learn to select multiple materials and assessments to identify young learners’ strengths and needs, and engage in best practice to meet literacy instructional needs for the grade 4 through 8 students. This course includes Michigan Framework standards. Designed for students seeking K-8 certification.
Prerequisites & Corequisites: Prerequisite: Ed 3770.
Credits: 3 hours
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LS 3790 - Literacy III: Literacy/Language Inquiry and Multiple Media
This course will build upon the concepts and strategies learned in Literacy I & II. Students (teacher candidates) will learn to organize multiple materials for instruction using an inquiry framework focusing on literacy development as a life-long process. Students will learn how to support children in the use of reading, writing, speaking, listening, and visual representation as a means to generate questions, to gather and organize data, and to analyze, synthesize and critique information for all content areas. Meeting the standards of the Michigan Curriculum Framework, students will connect inquiry instruction in an integrated curriculum to help young learners engage in critical thinking, problem solving, and independent literacy activities. Students will learn to evaluate materials and administer assessments to identify readers’ strengths and needs. Designed for students seeking K-8 certification.
Prerequisites & Corequisites: Prerequisite: LS 3780.
Credits: 3 hours
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LS 4600 - Integrated Language Arts Seminar
This course will focus on synthesizing theories, concepts, and classroom approaches from previous work in the Integrated Language Arts Minor. Students will practice restructuring curriculum objectives, classroom organization, and teaching strategies in order to achieve the maximum integration of the language arts processes in the elementary school. Students will pursue individualized programs culminating in a guided field experience through which students will demonstrate identified program competencies. Student- and faculty-led seminars will be scheduled periodically throughout the course.
Credits: 4 hours
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LS 5000 - In-Service Professional Development I
This course develops specific professional skills related to current school responsibilities of teachers and other school personnel. Final course outcomes need to have demonstrated application to the school/classroom/workplace. May be repeated. This course is graded on a credit/no credit basis.
Notes: Credit hours may be applied to teacher certification programs with approval of the Office of Teacher Certification, but will not be applicable to graduate programs in the Department of Special Education and LIteracy Studies.
Credits: 1 hour
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LS 5010 - In-Service Professional Development II
This course develops specified professional skills, over an extended period of time, related to current school responsibilities of teachers and other school personnel. Final course outcomes need to have demonstrated application to the school/classroom/workplace. Topics included in department program must be approved in advance of registration by the program advisor.
Prerequisites & Corequisites: Prerequisite: Advisor approval.
Notes: May be repeated, but only three credit hours may be applied to graduate programs in the department.
Credits: 2-3 hours
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LS 5020 - Curriculum Workshop
Opportunity provided for teachers, supervisors and administrators in selected school systems to develop programs of curricular improvement. This may include short-term offerings to resolve a particular curricular problem, as well as long-range curriculum studies. A wide variety of resources is used for instructional purposes, including several specialists, library and laboratory facilities, field trips, audiovisual materials, and the like. Each offering of LS 5020 will be given an appropriate subtitle, which will be listed on the student’s official transcript. Students may earn up to three hours of credit for any given subtitle.
Prerequisites & Corequisites: Prerequisite: Advisor approval.
Notes: No more than three hours of LS 5020 may be applied toward the master’s degree with advisor’s approval.
Credits: 1-6 hours
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LS 5160 - Professional Symposium in Reading
This course is designed to be the initial course in the graduate program in reading. It is designed to present the basic concepts concerning the nature of the reading process and the teaching of reading. Emphasis will be placed on reading as a thinking process and on factors affecting reading performance. Special emphasis will be placed on child development; language development; concept development; physical, psychological, and environmental factors affecting the child’s learning to read. In addition, the course will provide a brief overview of the delivery systems and procedures used in the U.S. to teach reading. This will involve an historical overview as well as current and potential future practices.
Credits: 3 hours
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LS 5970 - Reading and Related Language Experiences
This course involves a study of the current research on aspects of language which are involved in the process of effective reading. It is intended to provide students with a thorough understanding of the research in language and its application to the reading process. It also is intended to help students understand more fully the place of reading in a total language arts program and to give students an opportunity to make application to practical classroom situations.
Credits: 3 hours
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LS 5980 - Selected Readings in Education
Designed for highly qualified students who wish to study in-depth some aspect of literacy studies under a member of the departmental staff.
Prerequisites & Corequisites: Prerequisite: Advisor and department approval.
Credits: 1-4 hours
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MATH 1090 - Computational Skills
A mastery-based remedial course designed to sharpen computational skills involving whole numbers, fractions, decimals, percents, signed numbers and simple geometric figures. These skills are used in solving word problems. All entering students must take an exam on this material unless exempted on the basis of ACT Mathematics score. Students who do not pass the exam are required to take this course and enrollment in this course is restricted to these students. Credit for the course will not apply to the number of credits needed for graduation.
Credits: 2 hours
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MATH 1100 - Algebra I
A course in algebra at the level usually covered in high school. Review and practice with basic algebraic skills. Topics include arithmetic foundations of algebra, properties of real numbers, linear equations and inequalities, and systems of linear equations. This is a continuous progress, mastery-based course. Credit for MATH 1100 will not be granted to anyone having already received credit with grade of “C” or better in any of MATH 1110, 1160, 1180, 1220, or 2000 or equivalent transferable courses.
Prerequisites & Corequisites: Prerequisite: MATH 1090 or satisfactory score on mathematics placement mechanism.
Credits: 3 hours
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MATH 1110 - Algebra II
A continuation of MATH 1100. Topics include polynomials, fractional and radical equations, logarithmic and exponential functions, complex numbers, quadratic equations, and systems of quadratic equations. Credit for MATH 111 will not be granted to anyone having already received credit with a grade of “C” or better in any of MATH 1180, 1220, 2000 or equivalent transferable courses.
Prerequisites & Corequisites: Prerequisite: MATH 1100, or one year of high school algebra and satisfactory score on mathematics placement mechanism. ACT/SAT score of 19/460 or greater.
Credits: 3 hours
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MATH 1140 - Excursions in Mathematics
This course satisfies the general education requirement of a college level mathematics course. It is intended for students whose programs of study have no further mathematics requirements. Its purpose is to develop an awareness of the use of mathematics in the world around us. Areas of application may include: compound interest and monetary growth, planning and scheduling, collecting and interpreting data, games and decision making, measurement and geometry, patterns and art.
Prerequisites & Corequisites: Prerequisite: MATH 1100 or satisfactory score on Mathematics Department placement mechanism.
Credits: 3 hours
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MATH 1160 - Finite Mathematics with Applications
This course is designed to give the student a background in the elements of finite mathematics. Included will be a discussion of: sets, relations and functions; systems of linear equations and inequalities; vectors and matrices; concepts of probability; random variables and distribution functions; applications of linear algebra and probability.
Prerequisites & Corequisites: Prerequisite: MATH 1100, or 2 years of college preparatory mathematics and satisfactory score on placement mechanism. ACT/SAT score of 19/460 or greater.
Credits: 3 hours
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MATH 1180 - Precalculus Mathematics
This course is designed to provide the student with basic algebraic and trigonometric concepts necessary for calculus. Topics include: real numbers, inequalities, coordinate systems, functions, polynomials, solutions of polynomial equations, exponential and logarithmic functions, trigonometry and trigonometric functions.
Prerequisites & Corequisites: Prerequisite: MATH 1110, or at least 3 years of college preparatory mathematics and satisfactory score on placement mechanism. ACT/SAT score of 24/560 or greater.
Credits: 4 hours
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MATH 1220 - Calculus I
The first of a two-semester sequence in differential and integral calculus. Functions, limits, continuity, techniques and applications of differentiation, integration, trigonometric, logarithmic and exponential functions.
Prerequisites & Corequisites: Prerequisite: MATH 118, or at least 3-1/2 years of college preparatory mathematics, including trigonometry and satisfactory score on the placement mechanism. ACT/SAT score of 27/610 or greater. Students who take more than one of MATH 1220, MATH 1700, or MATH 2000 will receive only 4 hours of credit toward graduation.
Credits: 4 hours
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MATH 1230 - Calculus II
A continuation of Calculus I. Techniques and applications of integration, trigonometric functions, sequences and series, indeterminate forms, improper integrals, applications to elementary differential equations.
Prerequisites & Corequisites: Prerequisite: MATH 1220 (recommended) or MATH 1700.
Credits: 4 hours
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MATH 1450 - Discrete Mathematical Structures
Sets, functions, relations, graphs, digraphs, trees, recursion, mathematical induction and other proof techniques, counting techniques, Boolean Algebras and asymptotic analysis of algorithms. The relationship of these concepts with computer science will be emphasized.
Prerequisites & Corequisites: Prerequisites: MATH 1220 or MATH 1700, and an introductory programming course.
Credits: 3 hours
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MATH 1500 - Number Concepts for Elementary/Middle School Teachers
This course provides a foundation in number concepts appropriate for elementary and middle school teachers. Topics include numeration systems, number theory, rational numbers, and integers. Emphasis is placed on conceptual understanding, problem solving, mental arithmetic, computational estimation, and calculator use.
Prerequisites & Corequisites: Prerequisite: MATH 1100 with a grade of “C” or better or a satisfactory score on placement mechanism. ACT/SAT score of 19/460 or greater. Enrollment in this course is limited to those whose curricula include either Elementary Education or Special Education.
Credits: 4 hours
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MATH 1510 - Geometry for Elementary/Middle School Teachers
This course explores the fundamental ideas of planar and spatial geometry. Content includes the analysis and classification of geometric figures; the study of geometric transformations; the concepts of tessellation, symmetry, congruence, and similarity; and an overview of measurement. The course also includes an introduction to the use of computers in the teaching and learning of informal geometry.
Prerequisites & Corequisites: Prerequisite: MATH 1500 with a grade of “C” or better, or placement into MATH 1220. ACT/SAT score of 27/610 or greater.
Credits: 4 hours
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MATH 1700 - Calculus I, Science and Engineering
The first of a two-semester sequence in differential and integral calculus which emphasizes applications and preparation for science and engineering (particularly physics). Vectors, functions, limits, continuity, techniques of differentiation, integration, and trigonometric, logarithmic and exponential functions.
Prerequisites & Corequisites: Prerequisite: MATH 1180 or Placement into MATH 1220. Students who take more than one of MATH 1220, 1700, or 2000 will receive only 4 hours of credit toward graduation.
Credits: 4 hours
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MATH 1710 - Calculus II, Science and Engineering
A continuation of MATH 1700, with further applications and preparation for science and engineering. Techniques of integration, more on trigonometric functions, sequences and series, indeterminate forms, improper integrals, and more on elementary differential equations.
Prerequisites & Corequisites: Prerequisite: MATH 1700 (recommended) or (MATH 1220 and departmental approval).
Credits: 4 hours
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MATH 1900 - Survey of Mathematical Ideas
A survey of significant, active areas of mathematics with the emphasis on concepts rather than calculations. The historical origin and development of certain mathematical ideas will be included. The areas of mathematics investigated will include topics from set theory, probability theory, number theory, computer mathematics, and graph theory. This course will not satisfy any program requirements in mathematics.
Prerequisites & Corequisites: Prerequisite: MATH 1100 or satisfactory score on Mathematics Department placement mechanism. ACT/SAT score of 19/460 or greater.
Credits: 4 hours
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MATH 2000 - Calculus with Applications
A terminal one semester course in calculus with emphasis on techniques and applications. Topics include functions, limits, differentiation, integration and applications. This course should not be elected by those students taking courses in the MATH 1220 to 1230 sequence.
Prerequisites & Corequisites: Prerequisite: MATH 1110, or 1-1/2 years high school algebra and 1 year high school geometry and satisfactory score on placement mechanism. ACT/SAT score of 24/560 or greater. Students who take more than one of MATH 1220, 1700, or 2000 will receive only 4 hours of credit toward graduation.
Credits: 4 hours
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MATH 2300 - Elementary Linear Algebra
Vectors and geometry in two and three dimensions, systems of linear equations, matrix algebra, linear transformations in R2 and R3, generalizations to the vector spaces Rn, inner products, determinants. Some emphasis on proofs.
Prerequisites & Corequisites: Prerequisite: MATH 1220 or 1700 (MATH 1230 or 1710 recommended).
Credits: 4 hours
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MATH 2650 - Probability and Statistics for Elementary/Middle School Teachers
This course covers basic concepts of statistics and probability appropriate for elementary and middle school teachers. Topics include statistical techniques for organizing, summarizing, presenting, and interpreting data sampling techniques; simulation methods; counting techniques; and analytic methods in probability. Computers are used to reinforce major course ideas.
Prerequisites & Corequisites: Prerequisite: MATH 1500 with a grade of “C” or better.
Credits: 4 hours
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MATH 2720 - Multivariate Calculus and Matrix Algebra
Vectors and geometry in two and three dimensions, matrix algebra, determinants, vector differentiation, functions of several variables, partial differentiation, linear transformations, multiple integration, and change of variables. The computer algebra system Maple will be used to explore some of these topics.
Prerequisites & Corequisites: Prerequisite: MATH 1710 or MATH 1230.
Credits: 4 hours
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MATH 3140 - Mathematical Proofs
The prime objective of this course is to involve the students in the writing and presenting of mathematical proofs. The topics in this course will include logic, types of proof, sets, functions, relations, mathematical induction, proofs in an algebraic setting such as divisibility properties of the integers, proofs in an analytic setting such as limits and continuity of functions of one variable. Additional topics may include elementary cardinal number theory, paradoxes and simple geometric axiom systems. This course is approved as a writing-intensive course which may fulfill the baccalaureate-level writing requirement of the student’s curriculum.
Prerequisites & Corequisites: Prerequisites: MATH (1230 or 1710) and MATH (2300 or 3740).
Credits: 3 hours
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MATH 3300 - Modern Algebra I
This course introduces the abstract algebraic concepts of groups, rings, and fields, and shows how they relate to the problem of finding roots of polynomials. Topics include: Properties of the integers, congruences, the Euclidean algorithm, groups, subgroups, cosets, Lagrange’s theorem, direct product, isomorphism, symmetric groups, rings, integral domains, polynomial rings, fields, field extensions, quotients of polynomial rings.
Prerequisites & Corequisites: Prerequisite: MATH 3140.
Credits: 4 hours
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MATH 3400 - Fundamental Concepts of Geometry
This course examines the axiomatic structures of Euclidean geometry and elementary non-Euclidean geometries. Transformational approaches to Euclidean geometry are also considered.
Prerequisites & Corequisites: Prerequisite: MATH 3140.
Credits: 3 hours
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MATH 3500 - Teaching of Middle School Mathematics
This course considers curriculum issues and trends in middle school mathematics focusing on methods and materials for teaching mathematics effectively to middle school students. Activity and laboratory approaches for teaching mathematics are emphasized.
Prerequisites & Corequisites: Prerequisite: MATH 3140 or consent of instructor.
Credits: 3 hours
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MATH 3510 - Computing Technology in Secondary School Mathematics
This course introduces uses of computing technology to enhance and extend the learning of mathematical topics in grades 7 to 12. Emphasis is placed on the use of technology in problem solving and concept development. This course is open only to students pursuing a program leading to secondary mathematics teacher certification.
Prerequisites & Corequisites: Prerequisites: Prior programming experience, MATH 3500, and acceptance into Professional College of Education.
Credits: 3 hours
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MATH 3520 - Teaching of Elementary/Middle School Mathematics
This course covers curriculum and instructional issues in elementary school mathematics.
Prerequisites & Corequisites: Prerequisites: MATH 1510 and MATH2650 with grades of “C” or better and admittance to the Elementary Education Program in the College of Education.
Credits: 3 hours
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MATH 3740 - Differential Equations and Linear Algebra
Slope fields, first order differential equations and applications, linear differential equations, numerical methods, solution of systems of linear algebraic equations, eigenvalues and eigenvectors, systems of differential equations, and series solutions. The computer algebra system Maple will be used to explore some of these topics.
Prerequisites & Corequisites: Prerequisite: MATH 2720.
Credits: 4 hours
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MATH 3900 - Undergraduate Seminar
This seminar features student participation covering mathematical topics not normally included in regular major programs. May be repeated for credit.
Prerequisites & Corequisites: Prerequisite: permission of Department.
Credits: 1 hour
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MATH 3950 - Practicum in Mathematics
Students enrolled in this course will normally work in the modular math program. The course may be repeated.
Prerequisites & Corequisites: Prerequisite: consent of instructor.
Credits: 1 hour
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MATH 4020 - Mathematical Modeling
An introduction to the methods of mathematical modeling. The major aim of this course is to teach the formulation of mathematical problems from real world practical situations. The representation of a practical or scientific problem in mathematical terms may give a more precise understanding of its significant properties, and may allow prediction of future events. Case studies considered will involve many areas of application and several different mathematical techniques. The computer will be used as a tool in pursuing some of these problems. This course is approved as a writing-intensive course which may fulfill the baccalaureate-level writing requirement of the student’s curriculum.
Prerequisites & Corequisites: Prerequisite: MATH 3740 and a computer programming course.
Credits: 3 hours
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MATH 4080 - Linear Programming
Linear programming and its applications. This course will cover basic theory and applications of linear programming. The topics will include convex geometry, the simplex algorithm, and duality. The applications may include problems in the areas of network optimization, the transportation problem, the assignment problem, the diet problem, cluster analysis, L1 fits, game theory, and scheduling.
Prerequisites & Corequisites: Prerequisite: MATH 2300 or 3740.
Credits: 3 hours
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MATH 4300 - Modern Algebra II
This course continues MATH 330 by studying groups, rings, and fields in more generality and detail. Topics are chosen from: Group homomorphism, normal subgroups, quotient groups, the fundamental homomorphism theorem, groups acting on sets, Sylow’s theorem, ring homomorphisms, ideals, quotient rings, Euclidean domains, principal ideal domains, unique factorization domains.
Prerequisites & Corequisites: Prerequisite: MATH 3300.
Credits: 3 hours
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MATH 4400 - Graphs and Mathematical Models
Elements of graph theory, including the study of Eulerian graphs, Hamiltonian graphs, planar graphs, trees, digraphs, and the applications of graphs as models. Emphasis will be on proofs and proof techniques. Examples of other discrete models may be considered.
Prerequisites & Corequisites: Prerequisites: MATH 1450 or MATH 3140 or consent of instructor.
Credits: 3 hours
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MATH 4450 - Algorithmic and Applied Combinatorics
An algorithmic approach to combinatorics including graph theory, enumeration, and applications.
Prerequisites & Corequisites: Prerequisites: MATH 1450 or MATH 3140 (CS 1110 recommended).
Credits: 3 hours
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MATH 4500 - Teaching of Secondary School Mathematics
This course considers curriculum issues and trends in secondary school mathematics focusing on methods and materials for teaching mathematics effectively to secondary school students.
Prerequisites & Corequisites: Prerequisite: MATH 3510 and one of MATH 3300 or MATH 3400.
Credits: 3 hours
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MATH 4900 - Topics in Mathematics
The content of this course varies with the semester offered and with the instructor. The course is intended to introduce students to significant topics not ordinarily encountered and to present more variety in their undergraduate programs. May be taken more than once with the approval of the student’s advisor.
Prerequisites & Corequisites: Prerequisite: Approval of Department.
Credits: 3 hours
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MATH 5070 - Numerical Analysis I
The analysis and use of numerical algorithms for the solution of nonlinear equations, systems of linear equations, interpolation, numerical differentiation and integration.
Prerequisites & Corequisites: Prerequisites: MATH 3740 and a computer programming language beyond Basic, e.g., Fortran or C.
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair
Credits: 3 hours
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MATH 5100 - Applied Matrix Algebra
An introduction to the study of methods to solve linear systems of equations, least squares approximation problems, and eigenvalue problems. Topics covered include the algebra of real and complex matrices with particular emphasis on LU-decompositions, QR-decompositions, singular value decompositions, generalized inverses, Hermitian symmetric matrices, positive definite matrices and the Spectral Theorem. Applications from multivariate calculus will be discussed.
Prerequisites & Corequisites: Prerequisites: Either MATH 2300 and MATH 2720, or MATH 3740.
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
Credits: 3 hours
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MATH 5220 - Introduction to Topology
Topics to be chosen from: Topological spaces and continuous functions, metric spaces, connectivity, separation axioms, compactness, product and quotient spaces, paracompactness, and manifolds.
Prerequisites & Corequisites: Prerequisite: MATH 3300 or MATH 5700.
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
Credits: 3 hours
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MATH 5270 - Differential Geometry of Curves and Surfaces
An introduction to Riemannian Geometry with emphasis on curves and surfaces. Topics may include isometries, orientation, differential forms, curvature, metrics, and geodesics.
Prerequisites & Corequisites: Prerequisites: MATH 2720 and either MATH 2300 or MATH 3740 (MATH 3140 recommended).
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
Credits: 3 hours
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MATH 5300 - Linear Algebra
Properties of finite dimensional abstract vector spaces, linear transformations, and matrix algebra are studied.
Prerequisites & Corequisites: Prerequisite: MATH 3300.
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
Credits: 3 hours
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MATH 5540 - Algebra for the Elementary/Middle School Teachers
This course is devoted to the learning of algebra in elementary and middle grades. Concepts and skills are developed and reinforced using a variety of approaches and materials. Computing technologies are used throughout the course to develop concepts; to explore the connections among numeric, graphic, and symbolic representations of mathematical ideas; and to model and solve problems involving quantitative variables.
Prerequisites & Corequisites: Prerequisites: MATH 1500, 1510, 2650, and 3520 with grades of “B” or better or instructor approval.
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
Credits: 4 hours
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MATH 5550 - Mathematical Modeling and Problem Solving for the Elementary/Middle School Teachers
This course provides experiences in mathematical modeling and problem solving for elementary/middle school teachers. Problem contexts are selected to deepen students’ understanding of important ideas in number theory, algebra, geometry, probability, statistics, and the conceptual underpinnings of calculus. Computing technologies are used extensively.
Prerequisites & Corequisites: Prerequisites: MATH 5540 with a grade of “C” or better or instructor approval.
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
Credits: 4 hours
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MATH 5700 - Advanced Calculus I
Properties of real numbers, Cauchy sequences, series, limits, continuity, differentiation, Riemann integral, sequences and series of functions.
Prerequisites & Corequisites: Prerequisites: MATH 2720 and 3140 (3300 is recommended).
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
Credits: 4 hours
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MATH 5710 - Advanced Calculus II
Topology of n-dimensional space, continuity and differentiability of functions of one variable; Riemann-Stieltjes integral; convergence of sequences and series of functions; Fourier series; analysis of functions of several variables.
Prerequisites & Corequisites: Prerequisite: MATH 5700 or approval of advisor.
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
Credits: 3 hours
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MATH 5720 - Vector Calculus and Complex Variables
Functions of several variables, implicit and inverse functions, Jacobians, multiple integrals, Green’s Theorem, divergence, curl, the Laplacian, Stokes’ Theorem, analytic functions, Laurent expansions, residues, argument principle, and conformal mapping.
Prerequisites & Corequisites: Prerequisite: MATH 3740.
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
Credits: 4 hours
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MATH 5740 - Advanced Differential Equations
Series solutions at ordinary and singular points of linear ordinary equations, Bessel and Legendre functions, self-adjoint boundary value problems, Fourier series, solution of partial differential equations by separation of variables.
Prerequisites & Corequisites: Prerequisite: MATH 3740.
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
Credits: 3 hours
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MATH 5800 - Number Theory
Diophantine equations, congruences, quadratic residues, and properties of number-theoretic functions.
Prerequisites & Corequisites: Prerequisite: MATH 3300.
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
Credits: 3 hours
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MATH 5900 - In-Service Professional Development in Mathematics
This course develops specific professional skills related to the teaching and learning of pre-college mathematics. Final course outcomes have demonstrated applications to the mathematics classroom. This course may be repeated. Each offering of MATH 590 will be given an appropriate subtitle which will be listed on the student’s official transcript. Students may earn up to three hours of credit for any given subtitle. Credit hours may be applied to continuing teacher certification programs with approval of the Teacher Certification Office, but will not be applicable to a new endorsement in mathematics nor to any graduate program within the Department of Mathematics. Graded on a Credit/No Credit basis. Prerequisite: Permission of instructor.
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
Credits: 1 to 3 hours
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MATH 5950 - Topics in Elementary/Middle School Mathematics
This course addresses topics in mathematics content and pedagogy relative to the teaching and learning of elementary/middle school mathematics.
Prerequisites & Corequisites: Prerequisite: MATH 3520 or consent of instructor. Course may be repeated for credit.
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
Credits: 3 hours
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MATH 5990 - Independent Study in Mathematics
Advanced students with good scholastic records may elect to pursue independently the study of some topic having special interest for them. Topics are chosen and arrangements are made to suit the needs of each particular student. May be repeated for credit.
Prerequisites & Corequisites: Prerequisite: Approval of chairperson of department.
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
Credits: 1 to 6 hours
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MDSC 2010 - Medical Terminology
The language of medicine-through an understanding of the Greek and Latin derivations and construction of medical terms, the student learns the vocabulary of the health-related professions.
Credits: 1 hour
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MDVL 1450 - Heroes and Villains of the Middle Ages
An interdisciplinary course designed to introduce beginning students to the medieval roots of the individual, social, and institutional ideals and values of modern Western culture as they are expressed and exemplified in the images of medieval heroes and their counterparts. Students may not receive credit for both MDVL 1450 and HIST 1450.
Credits: 3 hours
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MDVL 5000 - Interdisciplinary Studies in Medieval Culture
An interdisciplinary course organized around selected topics in Medieval and Renaissance Studies. The focus may be in a specific period (The Twelfth Century), a religious movement (Monasticism), a political structure (Venice-A Renaissance City-state), or the social fabric (Medieval Man: Image and Reality).
Credits: 3 hours
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MDVL 5970 - Directed Study
Research on a selected topic in the field of Medieval Studies directed and supervised by a faculty member. Registration requires at least junior standing and approval by the Director of the Medieval Institute. May be repeated for credit.
Prerequisites & Corequisites: Prerequisite: Approval application required.
Credits: 1 to 3 hours
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ME 2200 - Processes and Materials in Manufacturing
Manufacturing principles and organization, principal processes used to make metal, plastic and ceramic parts, design considerations for computer integrated manufacturing, simultaneous engineering.
Notes: This course meets for 3 lecture hours and 3 lab hours per week.
Credits: 4 hours
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ME 2320 - Thermodynamics I
Fundamental laws of classic thermodynamics including ideal and non-ideal processes. Applications are studied in relationship to the traditional thermodynamic cycles and to alternate energy systems such as solar and wind energy.
Prerequisites & Corequisites: Prerequisites: MATH 1230 or 1710, PHYS 2050, PHYS 2060.
Credits: 3 hours
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ME 2500 - Materials Science
First course in the science of engineering materials. Relationships between microscopic structure and the mechanical properties of metals, polymers, and ceramics. Effects of environment on material properties. This course is cross-listed with AAE 2500.
Prerequisites & Corequisites: Prerequisites: CHEM 1100 and 1110, MATH 1220 or 1700.
Credits: 3 hours
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ME 2530 - Statics and Mechanics of Materials
Forces and moments acting upon structural bodies under static loads. Concepts of vectors, free-body diagrams, shear and moment diagrams, centroids, moments of inertia and friction. Compression, tension, shear, torsion, and bending in structural members, including stress distribution, deflection, and buckling. (Not for students required to take ME 2570).
Prerequisites & Corequisites: Prerequisites: MATH 1230 or 1710 and CS 1022 or 1023.
Credits: 4 hours
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ME 2560 - Statics
Forces and moments acting upon structural bodies under static loads. Concepts of vectors, free-body diagrams, shear and moment diagrams, centroids, moments of inertia and friction.
Prerequisites & Corequisites: Prerequisite: MATH 1230 or 1710.
Credits: 3 hours
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ME 2570 - Mechanics of Materials
Compression, tension, shear, torsion, and bending in structural members including stress distribution, deflection, buckling, and fatigue on engineering materials. Design and selection of simple machine members and a knowledge of design codes and standards are applied.
Prerequisites & Corequisites: Prerequisite: ME 2560.
Credits: 3 hours
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ME 2580 - Dynamics
Kinematics and kinetics of particles, rigid bodies in translation, rotation, and plane motion. Includes impulse-momentum and work-energy methods. Introduction to vibrations.
Prerequisites & Corequisites: Prerequisites: ME 2560 or ME 2530, PHYS 2050, PHYS 2060.
Credits: 3 hours
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ME 3350 - Instrumentation
Principles of measurement, testing, and evaluation of mechanical and aeronautical engineering systems. Experimental design. Estimation of error. Technical report preparation.
Prerequisites & Corequisites: Prerequisites: ME 2570, ME 3620, ECE 2100, and writing requirement.
Notes: This course meets for 2 lecture hours and 3 lab hours per week.
Credits: 3 hours
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