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LGBT 351 - Research in Lesbian, Gay, Bisexual, Transgender Studies
Survey and practical exploration of methods, issues, and problems in formulating and conducting research in lesbian, gay, bisexual, and transgender studies, both within specific academic fields and as an interdisciplinary effort, with attention to evaluation and interpretation of source materials, field research methods, and critical issues.
Prerequisites & Notes
PRQ: LGBT 350.
Credits: 3
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LGBT 390 - Internship
Work as an intern in activities related to LGBT issues or with organizations that serve the LGBT community. Reading and paper preparation under supervision of a faculty member in the College of Liberal Arts and Sciences. May be repeated to a maximum of 6 semester hours. S/U grading.
Credits: 3
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LGBT 450 - Transgender Studies
Examines the T in LGBT Studies from an interdisciplinary framework, addressing multiple issues including trans identities, bodies, and rights.
Credits: 3
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LGBT 460 - Special Topics in LGBT Studies
Special problems, methods, or applications related to LGBT issues. May be repeated to a maximum of 6 semester hours when topic varies.
Credits: 3
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LTCY 100 - Individualized Competency Unit
Successful mastery by the student of a discrete professional competence in education, embodied in a standardized learning package, and measured by diagnostic as well as summative evaluations. Units monitored by member of the faculty. May be repeated to a maximum of 6 semester hours. S/U grading.
Credits: 1
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LTCY 300 - Foundations of Instruction in Reading, Writing, and the Other Language Arts
Developmental reading, writing, and the other language arts (speaking, listening, viewing, and visually representing) for elementary students. Instructional approaches and methods of organizing reading/writing/language arts instruction.
Prerequisites & Notes
PRQ: For special education majors only: GPA of at least 2.50, SESE 240.
Credits: 4
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LTIC 301 - Teaching with a Multicultural Perspective
Crosslisted as TLCI 301X. Examination and application of content materials focusing on cultural and linguistic diversity in the classroom and in society. Emphasis on role of teacher and school in providing information and instruction that promotes equitable and multicultural education for all students. Designed primarily for preservice teachers.
Credits: 3
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LTIC 400 - Introduction to Teaching English Language Learners
Survey of practices and principles for teaching English language learners in multilingual contexts.
Credits: 3
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LTIC 415 - Reading for Bilingual Populations
Theoretical bases, approaches, materials, and strategies facilitating the development and assessment of second language reading for bilingual school populations.
Credits: 3
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LTIC 420 - Methods and Materials for Teaching English Language Learners in the Content Areas
Examine, apply, and assess instructional approaches and materials for teaching English language learners (ELLs) in school settings. Focus on collaborative teaching across the content areas.
Credits: 3
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LTIC 435 - Teaching English Language Learners in Bilingual Programs: Methods and Materials
Examination, evaluation, and application of instructional approaches and curricular materials for English language learners in bilingual education programs.
Credits: 3
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LTIC 445 - Applied Linguistics for Teachers of English Language Learners
Applications of linguistic principles in teaching and learning of English language learners.
Credits: 3
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LTIC 447 - Assessment of English Language Learners
Assessment of the language needs of English language learners at levels K-12; identification of language needs for instructional planning and placement.
Credits: 3
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LTLA 301 - Writing for Prospective Teachers
Use of English prose writing conventions in educational applications.
Prerequisites & Notes
PRQ: Consent of department.
Credits: 1
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LTLA 305 - Language Development
Overview of oral language acquisition including typical and atypical phonological, morphological, syntactic, semantic, and pragmatic development beginning at infancy. Emphases on the primary grades, on parallels between oral development and literacy acquisition, and on early childhood teaching strategies.
Credits: 3
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LTLA 341 - Language Arts in the Elementary School
Development of an effective language arts program with emphasis on instructional methods and materials.
Prerequisites & Notes
PRQ: GPA of at least 2.75, junior standing, and successful completion of the ILTS Test of Academic Proficiency or equivalent ACT waiver.
Credits: 3
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LTLA 350 - Language Arts in the Middle School
Instructional applications, experiences, and assessment of the development of language arts teaching techniques and strategies at the middle school level.
Credits: 3
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LTLA 361 - Literature for the Young Child
Role of literature in promoting language, cognition, and social development in young children (0-8 years old).
Credits: 3
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LTLA 362 - Children’s Literature in a Multicultural Society
Introduction to children’s literature across cultures, types, and historical periods with emphasis on selection and classroom applications.
Credits: 3
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LTLA 363 - Young Adult Literature in a Multicultural Society
Young adult literature across cultures, types, and historical periods with emphasis on classroom applications, and the diverse needs of middle- and high-school students.
Credits: 3
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LTLA 439 - Children’s Literature for Linguistic Diversity
Historical and current perspectives of the role and implications for using children’s literature in K-8 programs of instruction for linguistically diverse students.
Credits: 3
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LTRE 100 - Communication Skills (Reading)
Introduction to academic approaches to reading using a variety of text types and genres. Focus on improving comprehension strategies including interpretation, synthesis, and analysis. May be repeated once to a maximum of 4 semester hours. Open by permit only.
Credits: 1-3
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LTRE 190 - College Reading and Study Strategies
Introduction to college-level reading, learning, and study strategies, including note taking, test preparation, rehearsal, and vocabulary development. Focus on active reading, self-monitoring, and learning with a variety of academic texts. May be repeated to a maximum of 3 semester hours.
Credits: 1-3
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LTRE 201 - Special Topics in Advanced College Reading
Refinement of college reading comprehension skills including critical and analytical reading, reading flexibility, acquisition of vocabulary, and organizational structures common to specific disciplines. Students may enroll in course more than once each semester for up to 3 credits within the same semester.
Credits: 1-3
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LTRE 231 - Techniques of Literacy Tutoring
Methods and techniques for literacy tutoring. Development of tutorial resource materials.
Credits: 3
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LTRE 300 - Elementary School Developmental Reading Programs
Development of effective reading programs, based on theories of children’s learning and language development.
Prerequisites & Notes
PRQ: Elementary education and special education major, GPA of at least 2.75, at least sophomore standing, and successful completion of the ILTS Test of Academic Proficiency or equivalent ACT waiver.
Credits: 3
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LTRE 305 - Teaching Reading in the Middle Schools
Application of evaluation and teaching strategies for the development of reading in middle school students. Young adult literature and teaching materials for middle school reading programs.
Prerequisites & Notes
PRQ: GPA of at least 2.75.
Credits: 3
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LTRE 309 - Emerging Literacy and Beginning Reading Instruction through Age 8
Examination of emerging literacy, assessment, organization for instruction, and appropriate methods of reading instruction for primary-level children.
Credits: 3
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LTRE 310 - Teaching Reading in the Secondary School
Foundations for and establishment of developmental and content area reading programs in secondary schools, including methods and applications for diverse learners.
Credits: 3
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LTRE 311 - Content Area Literacy Instruction
Developing students’ literacy skills and learning strategies in the content areas, and designing and adapting content field materials, texts, teaching strategies, and assessment measures for literacy instruction.
Credits: 3
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LTRE 320 - Organizing for Effective Diagnostic Reading Instruction
Assessing reading achievement and organizing for diagnostic reading instruction to address individual differences.
Prerequisites & Notes
PRQ: GPA of at least 2.75 and junior standing.
Credits: 3
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LTRE 330 - Practicum in Reading Diagnosis
Administration and interpretation of various formal and informal assessments. Emphasis on developing case studies and preparing case reports.
Prerequisites & Notes
PRQ: GPA of at least 2.75 and senior standing.
Credits: 3
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LTRE 331 - Practicum in Problems of Teaching Reading
Diagnostic techniques and clinical experience in teaching literacy strategies.
Prerequisites & Notes
PRQ: GPA of at least 2.75 and senior standing.
Credits: 3
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LTRE 350 - Content Area Literacy for Elementary Education
Assessing reading achievement and organizing, managing, and delivering effective instruction in a classroom setting.
Prerequisites & Notes
PRQ: LTRE 300, GPA of at least 2.75, and junior standing.
Credits: 3
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LTRE 401 - Practicum in Teaching Developmental Reading: Elementary Level
Practical applications and experiences in developing diagnostic teaching techniques and strategies to improve the reading skills and meet the needs of individual pupils.
Prerequisites & Notes
PRQ: LTRE 350.
Credits: 3
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LTRE 431 - Techniques of Tutoring and Learning Assistance
Crosslisted as CAHA 431X. Methods and techniques for peer tutoring, supplemental instruction, learning assistance, or literacy tutoring. Development of tutorial resource materials. Basic assessment and remedial or developmental processes in content area tutoring, study strategies, and learning assistance. Experiences with tutorial programs, learning assistance programs, or supplemental instruction groups.
Credits: 3
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LTRE 490 - Workshop in Education
Concentrated study of curriculum, contemporary issues, and problems of the community and public schools. May be repeated when subject varies; however, no more than 6 semester hours may be applied toward the degree.
Prerequisites & Notes
PRQ: Acceptance by director of workshop.
Credits: 1-3
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LTRE 497 - Independent Study
Independent study under direction of a faculty member. May be repeated to a maximum of 6 semester hours.
Prerequisites & Notes
PRQ: Consent of department.
Credits: 1-3
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MATH 101 - Core Competency in Mathematics
Mastery of elementary skills and facts, understanding of logically correct arguments, abstract thinking, and problem solving ability. Not intended as preparation for MATH 110 or for courses numbered above MATH 110. Not available for credit to students who have previously received credit with a grade of C or better in a MATH course numbered above 110 except MATH 201. Not open for credit toward the major or minor in mathematical sciences. Not used in major or minor GPA calculation for mathematical sciences majors or minors.
Prerequisites & Notes
PRQ: Intermediate algebra and geometry.
Credits: 3
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MATH 108 - Fundamentals of Mathematics I
Designed for and restricted to first-semester freshmen, specially admitted students. Does not count as credit for graduation.
Credits: 3
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MATH 109 - Fundamentals of Mathematics II
Designed for and restricted to first-year, specially admitted students. May be used to continue MATH 108. Does not count as credit for graduation. Used as preparation for MATH 101, MATH 110, or MATH 201.
Credits: 3
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MATH 110 - College Algebra
Algebraic and exponential functions, basic linear algebra. Requires skills and knowledge of intermediate algebra and plane geometry. Does not count for credit toward the major or minor in mathematical sciences. Not open for credit to students having credit in MATH 155 or MATH 211 or MATH 229. Not used in major or minor GPA calculation for mathematical sciences majors or minors.
Prerequisites & Notes
PRQ: KCMA 098 with a grade of C or better, or MATH 109 with a grade of C or better, or previous credit in MATH 110, or satisfactory performance on the Mathematics Placement Examination.
Credits: 3
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MATH 155 - Trigonometry and Elementary Functions
Polynomials and rational functions, review of exponential and logarithmic functions, trigonometry, and complex numbers. Does not count for credit toward the major or minor in mathematical sciences. Not open for credit to students who have obtained a grade of C or better in MATH 229.
Prerequisites & Notes
PRQ: MATH 110 with a grade of C or better, or previous credit in MATH 155, or satisfactory performance on the Mathematics Placement Examination.
Credits: 3
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MATH 201 - Foundations of Elementary School Mathematics
Introduction to sets, geometry, measurement, logic, structure of mathematical systems, and the real number system. Open for credit only toward the majors in early childhood studies, elementary education, and special education. Does not count for credit toward the major or minor in mathematical sciences. Not used in major or minor GPA calculation for mathematical sciences majors or minors.
Prerequisites & Notes
PRQ: One year of high school algebra and one year of high school geometry.
Credits: 3
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MATH 206 - Introductory Discrete Mathematics
Introduction to sets, algorithms, induction, recursion, relations, graphs, trees, and algebraic structure, with applications, many of which are in computer science. Not used in major or minor GPA calculation for mathematical sciences majors or minors.
Prerequisites & Notes
PRQ: MATH 110 or satisfactory performance on the Mathematics Placement Examination.
Credits: 3
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MATH 210 - Finite Mathematics
Introduction to mathematical topics with applications to business, social science, and other fields. Includes such topics as functions and graphs, matrix algebra and solutions of systems of linear equations, inequalities and linear programming, elementary combinatorics, and probability. Not used in major or minor GPA calculation for mathematical sciences majors or minors.
Prerequisites & Notes
PRQ: MATH 110 with a grade of C or better, or previous credit in MATH 210, or satisfactory performance on the Mathematics Placement Examination.
Credits: 3
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MATH 211 - Calculus for Business and Social Science
An elementary treatment of topics from differential and integral calculus, with applications in social science and business. Students may receive credit for both MATH 211 and MATH 229, but only one of them will count toward the minimum number of hours required for graduation. Not used in major or minor GPA calculation for mathematical sciences majors or minors.
Prerequisites & Notes
PRQ: MATH 110 with a grade of C or better, or previous credit in MATH 211, or satisfactory performance on the Mathematics Placement Examination.
Credits: 4
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MATH 229 - Calculus I
A first course in calculus. Students may receive credit for both MATH 211 and MATH 229, but only one of them will count toward the minimum number of hours required for graduation.
Prerequisites & Notes
PRQ: MATH 155 with a grade of C or better or satisfactory performance on the Mathematics Placement Examination.
Credits: 4
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MATH 230 - Calculus II
Continuation of MATH 229. Techniques of integration and applications of integrals, transcendental functions, and applications of series.
Prerequisites & Notes
PRQ: MATH 229 with a grade of C or better.
Credits: 4
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MATH 232 - Calculus III
Continuation of MATH 230. Multivariable and vector calculus.
Prerequisites & Notes
PRQ: MATH 230 with a grade of C or better.
Credits: 4
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MATH 239 - Matrices, Vectors and Applications
Systems of linear equations, matrix algebra, determinants, n-dimensional real vector spaces, eigenvalues and eigenvectors. Least squares problems and the singular value decompositions. Except with departmental approval students may not receive credit for both MATH 239 and MATH 240. Not used in major GPA calculation for mathematical sciences majors.
Prerequisites & Notes
PRQ: MATH 232 or consent of department.
Credits: 3
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MATH 240 - Linear Algebra and Applications
Matrix algebra and solutions of systems of linear equations, matrix inversion, determinants. Vector spaces, linear dependence, basis and dimension, subspaces. Inner products, Gram-Schmidt process. Linear transformations, matrices of a linear transformation. Eigenvalues and eigenvectors. Applications. Constructing and writing mathematical proofs. A transition between beginning calculus courses and upper-level mathematics courses.
Prerequisites & Notes
PRQ: MATH 232.
Credits: 4
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MATH 280 - Introduction to Mathematical Reasoning
An introduction to the idea of mathematical proof. Emphasis on improving students’ ability to construct, explain, and justify mathematical arguments. Assists in the transition from the calculus sequence to more abstract, proof-oriented courses.
Prerequisites & Notes
PRQ: MATH 230.
Credits: 3
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MATH 297 - Directed Study
Selected readings to supplement lower-division mathematical sciences courses. May be repeated to a maximum of 6 semester hours.
Prerequisites & Notes
PRQ: Consent of department.
Credits: 1-5
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MATH 302 - Introduction to Geometry
Basic concepts in plane and solid geometry, measurement, congruence and similarity, constructions, coordinate geometry, transformations and tessellations, topology, and selected topics. Not used in major or minor GPA calculations for mathematical sciences majors or minors.
Prerequisites & Notes
PRQ: MATH 229 or consent of department.
Credits: 3
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MATH 303 - Introduction to Number Theory
Problem solving, methods of proof, divisibility, primes, congruences, Diophantine equations, integer sequences, number-theoretic functions, and selected topics. Not used in major or minor GPA calculation for mathematical sciences majors or minors.
Prerequisites & Notes
PRQ: MATH 229 or consent of department.
Credits: 3
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MATH 304 - History of Mathematics Through the 17th Century
Mathematical developments from the ancients through the 17th century. Emphasis on the development of an interrelationship among special topics from arithmetic, algebra, geometry and calculus, across different cultures and through time. Not used in major or minor GPA calculation for mathematical sciences majors or minors.
Prerequisites & Notes
PRQ: MATH 229 or consent of department.
Credits: 3
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MATH 334 - Foundations of Applied Mathematics
Solution techniques for ordinary differential equations. Topics include hyperbolic functions, Laplace transforms, Fourier series, partial differential equations, and special functions. Not open for credit to students who have received credit for MATH 336.
Prerequisites & Notes
PRQ: MATH 232.
Credits: 4
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MATH 336 - Ordinary Differential Equations
Rudiments of the theory of ordinary differential equations and techniques of solution. Applications. Not available for credit to students who have received credit for MATH 334.
Prerequisites & Notes
PRQ: MATH 230.
Credits: 3
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MATH 353 - Axiomatic Geometry
The study and development of geometric axiomatic systems. Topics selected from Hilbert’s axioms for Euclidean geometry; projective, affine and Euclidean spaces over real vector spaces; convexity. Primarily intended for students preparing to teach mathematics.
Prerequisites & Notes
PRQ: MATH 240 or consent of department.
Credits: 3
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MATH 360 - Model Building in Applied Mathematics
An introduction to the formulation, analysis and interpretation of mathematical models in the study of selected problems in the natural sciences, the social sciences, and management science. Not open for credit to students having credit in MATH or STAT courses numbered 420 or above, except by consent of department.
Prerequisites & Notes
PRQ: MATH 230.
Credits: 3
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MATH 380 - Elementary Combinatorics
Permutations, combinations, generating functions, Dirichlet principle, Ramsey’s theorem, principle of inclusion-exclusion. Graphs, trees, circuits, Latin squares.
Prerequisites & Notes
PRQ: MATH 230.
Credits: 3
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MATH 401 - Clinical Secondary School Experience in Mathematics
A discipline-based clinical experience for students seeking initial secondary licensure in mathematics. Includes observations, evaluation, methods, and problems practicum as a part of a minimum of 40 clock hours of supervised and formally evaluated experiences in the particular setting likely for the student teaching experience. S/U grading.
Prerequisites & Notes
PRQ: Consent of department.
Credits: 1-2
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MATH 402 - Methods of Instruction in the Mathematics Curriculum for Elementary School I
Crosslisted as TLEE 402X. Methods, techniques, materials, curricular issues, learning theories, and research utilized in the teaching of elementary school mathematics. Intended for students in the elementary educator licensure program. Accepted for credit as an elementary mathematics methods course, but not as an upper-division mathematics content course. Not open for credit toward the major or minor in mathematical sciences. Not used in major or minor GPA calculation for mathematical sciences majors or minors.
Prerequisites & Notes
PRQ: MATH 201 with a grade of C or better.
Credits: 3
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MATH 403 - Methods of Instruction in the Mathematics Curriculum for Elementary School II
Methods, materials, curricular issues, learning theories, and research utilized in the teaching of upper elementary school mathematics, particularly relating to instruction in grades 5 and 6. Intended for students in the elementary educator licensure program. Accepted for credit as a mathematics methods course, but not as an upper-division mathematics content course. Not open for credit toward the major or minor in mathematical sciences. Not used in major or minor GPA calculation for mathematical sciences majors or minors.
Prerequisites & Notes
PRQ: MATH 402.
Credits: 3
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MATH 404 - Methods of Instruction in the Mathematics Curriculum for Middle School I
Methods, materials, curricular issues, learning theories, and research utilized in the teaching of middle school mathematics, particularly relating to instruction in grades 5 and 6. Intended for students in the middle level teacher licensure program. Accepted for credit as a middle school mathematics methods course, but not as an upper-division mathematics content course. Not open for credit toward the major or minor in mathematical sciences. Not used in major or minor GPA calculation for mathematical sciences major or minors.
Prerequisites & Notes
PRQ: Consent of department.
Credits: 3
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MATH 410 - Methods of Instruction in the Mathematics Curriculum for the Middle School II
Objectives, problems, strategies, and trends in teaching middle school mathematics. Applications of learning theory and research focusing on remediation, presentation of new concepts, and the use of manipulatives. Accepted for credit as a middle school mathematics methods course, but not as an upper-division mathematical content course. Accepted as mathematical sciences credit only for those preparing to teach middle grades. Not used in major or minor GPA calculations for mathematical sciences majors or minors. For those seeking or holding middle grades education licensure.
Prerequisites & Notes
PRQ: MATH 229 and consent of the department.
Credits: 3
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MATH 411 - Methods of Instruction in the Mathematics Curriculum for Secondary School I
Methods and trends of instruction in the pre-secondary school mathematics with particular focus on mathematical practices and processes. Covers the teaching and learning of rational numbers, algebraic reasoning, patterns, functions, measurement, geometric concepts, and statistics and probability. Accepted for credit toward the major or minor only for those preparing to teach. Accepted for credit as a methods course for secondary school, but not as an upper-division mathematical content course. Not used in major or minor GPA calculation except for mathematics education majors and minors.
Prerequisites & Notes
PRQ: MATH 229 and consent of department.
Credits: 3
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MATH 412 - Methods of Instruction in the Mathematics Curriculum for Secondary School II
Objectives and organization of the curriculum and instructional materials for mathematics programs for secondary school with attention to methods of instruction, use of various representations and technology, and engaging students in mathematical practices. Accepted for credit toward the major or minor only for those preparing to teach. Accepted for credit as a methods course for secondary school, but not as an upper-division mathematical content course. Not used in major or minor GPA calculation except for mathematics education majors and minors.
Prerequisites & Notes
CRQ: MATH 401 and consent of department.
Credits: 3
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MATH 413 - Student Teaching (Secondary) in Mathematics
Student teaching for 10 weeks or for one semester. Assignments to be arranged with the Office of Educator Licensure in the College of Liberal Arts and Sciences after approval by the Department of Mathematical Sciences. Not available for credit in the major. See “Educator Licensure Requirements.” S/U grading.
Prerequisites & Notes
PRQ: MATH 412 and consent of department.
Credits: 7-12
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MATH 415 - Uses of Technology in the Mathematics Curriculum for Grades K-12
Hands-on experiences working with current technology (scientific calculators, graphics calculators, computers, and computer software) for elementary, middle school, and secondary school mathematics. Presentation and evaluation of methods and strategies for employing technology as a regular part of instruction and assessment, including discussion of educational foundations. Accepted as mathematical sciences credit only for those preparing to teach. Not accepted for credit as an upper-division mathematical content course for licensure purposes. Not used in major or minor GPA calculations.
Prerequisites & Notes
CRQ: MATH 402, MATH 410, or MATH 412.
Credits: 3
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MATH 416 - Topics in Mathematics for Teachers
Selected topics in mathematical sciences. Intended primarily for students preparing to teach mathematics. Not used in major or minor GPA calculation except for mathematics education majors and minors.
Prerequisites & Notes
PRQ: MATH 229 or consent of department.
Credits: 3
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-
MATH 419 - Secondary School Mathematics Clinical Experience
Fifteen clock hours of pre-student teaching clinical experience.
Prerequisites & Notes
PRQ: Consent of department.
Credits: 0
|
| |
-
MATH 420 - Abstract Algebra I
Introduction to group theory. Properties of the integers, functions, and equivalence relations. A concrete approach to cyclic groups and permutation groups; isomorphisms and the theorems of Lagrange and Cayley.
Prerequisites & Notes
PRQ: MATH 240.
Credits: 3
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MATH 421 - Abstract Algebra II
Continuation of MATH 420. Homomorphisms and factor groups; introduction to commutative rings, with emphasis on polynomial rings; and fields, and algebraic extensions. Applications to classical geometric problems.
Prerequisites & Notes
PRQ: MATH 420.
Credits: 3
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MATH 423 - Linear and Multilinear Algebra
General theory of vector spaces, linear transformations, and matrices. Topics selected from determinants, tensor products, canonical forms, and bilinear and quadratic forms.
Prerequisites & Notes
PRQ: MATH 240 and MATH 420, or consent of department.
Credits: 3
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-
MATH 430 - Advanced Calculus I
Re-examination of the calculus of functions of one variable: convergence, continuity, differentiation, the mean-value theorem, and the Riemann integral.
Prerequisites & Notes
PRQ: MATH 232 and MATH 240, or MATH 334.
Credits: 3
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MATH 431 - Advanced Calculus II
Further study of sequences and series of functions; functions of several variables.
Prerequisites & Notes
PRQ: MATH 430.
Credits: 3
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MATH 432 - Advanced Calculus III
Line and surface integrals, the Riemann-Stieltjes integral, gamma and beta functions, and Fourier series and integrals. Applications to probability theory and mathematical physics.
Prerequisites & Notes
PRQ: MATH 431 or both MATH 334 and PHYS 385.
Credits: 3
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MATH 434 - Numerical Linear Algebra
Roundoff errors and computer arithmetic. Direct and iterative methods for solving linear systems; norms and condition numbers, iterative refinement. Linear least squares problems: the normal equations and QR approach for overdetermined systems. Numerical methods for eigenvalues: an introduction to the QR iteration. Extensive use of computers.
Prerequisites & Notes
PRQ: MATH 232; either MATH 239 or MATH 240; and either CSCI 230 or CSCI 240 or approved equivalent.
Credits: 3
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MATH 435 - Numerical Analysis
Polynomial interpolation, numerical solutions of nonlinear equations, least squares approximation by polynomials, orthogonal polynomials, economization of power series. Numerical integration including quadrature formulae, adaptive quadrature, composite quadrature formulae, and Romberg integration. Numerical methods for initial value problems including Taylor series methods, Runge-Kutta methods, and multistep methods. Extensive use of computers.
Prerequisites & Notes
PRQ: MATH 232, either MATH 239 or MATH 240, and either CSCI 230 or CSCI 240 or approved equivalent.
Credits: 3
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| |
-
MATH 438 - Theory of Differential Equations
Topics include linear systems, existence and uniqueness of solutions, nonlinear equations, and stability.
Prerequisites & Notes
PRQ: MATH 232, MATH 240, and either MATH 334 or MATH 336, or consent of department.
Credits: 3
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| |
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MATH 439 - Applied Mathematics for Sciences and Engineering
Designed mainly for science and engineering majors. Topics include the formulation of the basic partial differential equations from engineering and classical physics, separation of variables for the wave, heat, and Laplace equations, Fourier series and Sturm-Liouville theory, applications of Laplace and Fourier transform techniques to partial differential equation problems, eigenfunction expansions, method of characteristics, perturbation methods, Green’s functions, orthogonal expansions, and numerical methods.
Prerequisites & Notes
PRQ: MATH 232 and MATH 336.
Credits: 3
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MATH 440 - Elements of Complex Analysis
Beginning course in complex analysis emphasizing the applications of complex function theory.
Prerequisites & Notes
PRQ: MATH 232 and MATH 240, or MATH 334, or equivalent.
Credits: 3
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-
MATH 442 - Elements of Partial Differential Equations
Theory of partial differential equations emphasizing the basic nature of solutions of hyperbolic, parabolic, and elliptic equations as represented, respectively, by the wave, heat, and Laplace equations. Solution techniques covered include the method of characteristics, separation of variables, generalized eigenfunction expansions, and the Fourier integral and transform. Theoretical approaches are presented for the following topics: convergence and uniform convergence of Fourier series, Bessel’s inequality, Green’s identities, Sturm-Liouville theory, uniqueness of solutions, existence of fundamental solutions, and the maximum principle.
Prerequisites & Notes
PRQ: MATH 232, MATH 240, and MATH 336.
Credits: 3
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| |
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MATH 444 - Linear Programming and Network Flows
Introduction to linear programming, network flows, and applications.
Prerequisites & Notes
PRQ: MATH 239 or MATH 240, or consent of department.
Credits: 3
|
| |
-
MATH 450 - Introduction to Topology
Basic notions of metric and topological spaces; additional topics from combinatorial and algebraic topology may be included.
Prerequisites & Notes
PRQ: MATH 430.
Credits: 3
|
| |
-
MATH 456 - Linear Geometry
Treatment of affine and related geometries using the techniques of linear algebra.
Prerequisites & Notes
PRQ: MATH 420.
Credits: 3
|
| |
-
MATH 460 - Modeling Dynamical Systems
Involves students in the process of translating some questions about the observed world into mathematical form, combining formal reasoning with intuitive insights. Phenomena susceptible to formulation in terms of difference equations and various kinds of differential equations are investigated. Concepts of equilibrium, stability, bifurcation, limit cycles, and chaos illustrated.
Prerequisites & Notes
PRQ: MATH 232, MATH 239 or MATH 240, MATH 336, PHYS 253, and PHYS 273, or consent of department.
Credits: 3
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| |
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MATH 480 - Number Theory
Divisibility, primes, congruences, quadratic reciprocity, Diophantine equations, continued fractions, and selected topics.
Prerequisites & Notes
PRQ: MATH 420 or consent of department.
Credits: 3
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MATH 490X - Topics in Computer Science
Crosslisted as CSCI 490. A. Algorithms C. Automata, Computability, and Formal Languages Selected topics from major areas in computer science. May be repeated when subject varies.
Prerequisites & Notes
PRQ: Senior standing and consent of department.
Credits: 3
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MATH 494 - Directed Research/Internship in Mathematical Sciences
May be either academic, consisting of a project guided by a faculty member; or industrial, consisting of an approved project in industry. May be repeated to a maximum of 3 semester hours. S/U grading.
Prerequisites & Notes
PRQ: Mathematical sciences majors, junior/senior standing, and consent of department.
Credits: 1-3
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MATH 496 - Seminar in Computational Mathematics
Builds on the required courses in the computational mathematics emphasis to give the student in-depth experience doing projects.
Prerequisites & Notes
PRQ: Consent of department.
Credits: 3
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MATH 497 - Undergraduate Readings in Mathematics
Selected readings from mathematical literature. May be repeated to a maximum of 6 semester hours.
Prerequisites & Notes
PRQ: Consent of department.
Credits: 1-3
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MCTR 210 - Programming for Mechatronics
Computer programming, focused on mechatronics applications. Object-oriented programming, analog-digital conversion, signal generation, elementary filtering algorithms, multi-threading, communication protocols, data logging and visualization. Development of microcontroller and single-board computer-based devices that interface with sensors, actuators, and the Internet.
Prerequisites & Notes
PRQ: CSCI 240. CRQ: ELE 210.
Credits: 3
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MCTR 320 - Fundamentals of Mechatronics
Basic knowledge and background for mechatronics systems, sensors and actuators, architecture and programming of microcontrollers, input/output interfacing, electric circuits and components, digital circuits, communication, data acquisition and measurement, basic concept of control, and case studies of mechatronics systems.
Prerequisites & Notes
PRQ: MCTR 210.
Credits: 3
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MCTR 420 - Introduction to Robotics and Automation
Configuration, dynamics, actuation, sensing, and perception in different types of robots including manipulators and wheeled robots. Intelligent manufacturing and teleoperation. Human factors in automation.
Prerequisites & Notes
PRQ: MCTR 320. CRQ: MEE 322 or ELE 380.
Credits: 3
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MCTR 421 - Human Machine Interaction Principles and Design
Design principles in Human-Computer interaction, Human-Robot interaction, Humanoid robots and exoskeleton control.
Prerequisites & Notes
PRQ: MCTR 420.
Credits: 3
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MCTR 422 - Servo Drives
Study of electric drives used in servo systems. Development of electric motor models through an understanding of electromagnetic systems. Discussion of power electronic circuits used in motor drives. Analysis and control of motor drive systems typically used in servo applications.
Prerequisites & Notes
PRQ: ELE 315 and ELE 330; and either MEE 209 or MEE 211.
Credits: 3
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