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LTCY 592 - Special Topics in Literacy Education
Topics announced. May be repeated when subject varies; however, no more than 6 semester hours may be applied toward the M.S.Ed. degree in literacy education.
Prerequisites & Notes
PRQ: Consent of department.
Credits: 1-3
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LTCY 597 - Independent Research in Literacy Education
Research at the master’s level under faculty supervision. May be repeated when subject varies; however, no more than 6 semester hours may be applied toward the M.S.Ed. degree in literacy education.
Prerequisites & Notes
PRQ: Acceptance by the faculty member who will direct the research.
Credits: 1-3
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LTCY 699 - Master’s Thesis
Open only to students who elect to write a thesis for the M.S.Ed. degree in literacy education. Student enrolls with faculty member directing the thesis. May be repeated to a maximum of 6 semester hours.
Prerequisites & Notes
PRQ: Consent of department. Recommended: ETR 520.
Credits: 3-6
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LTCY 786 - Internship in Literacy Education
Work individually or in small groups in a practical situation under guidance of a staff member of that setting and a university supervisor. May be repeated to a maximum of 12 semester hours.
Prerequisites & Notes
PRQ: Admission to doctoral program or consent of department.
Credits: 1-12
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LTCY 797 - Independent Research in Literacy Education
Independent research at post-master’s degree levels under faculty supervision. May be repeated to a maximum of 6 semester hours.
Credits: 1-3
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LTCY 799 - Doctoral Research and Dissertation
Student must accumulate a minimum of 15 semester hours prior to graduation. May be repeated to a maximum of 30 semester hours.
Prerequisites & Notes
PRQ: Candidacy for the doctoral degree and consent of chair of doctoral committee.
Credits: 1-15
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LTIC 501 - Multicultural Education: Methods and Materials
Crosslisted as TLRN 501X. Designed to aid students to identify content materials and devise methods for implementing multicultural education. Emphasis on the relationships among culture, classroom procedure, and educational policy.
Credits: 3
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LTIC 515 - Bilingualism and Reading
Theoretical bases, approaches, materials, and activities facilitating assessment and development of second-language reading for elementary and secondary bilingual students.
Credits: 3
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LTIC 520 - Methods and Materials for Teaching English as a Second Language in Content Areas
Examination and application of instructional approaches and materials for teaching English as a second language in elementary and middle school settings. Focus on collaborative teaching across content areas, such as mathematics, science, language arts, and social studies.
Credits: 3
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LTIC 535 - Teaching Language-Minority Students in Bilingual Programs: Methods and Materials
Examination and application of instructional approaches and materials in bilingual programs in elementary, middle, and high schools.
Credits: 3
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LTIC 545 - Applied Linguistics for Teachers in Multilingual Classrooms
Classroom-oriented applications of linguistic principles for effective instruction in multicultural, multilingual classrooms.
Credits: 3
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LTIC 547 - Assessment of Language-Minority Students
Examination and application of instruments and techniques for assessing oral and written language of language-minority children in schools; identifying language needs and differentiating them from developmental needs.
Prerequisites & Notes
PRQ: LTIC 545 or consent of department.
Credits: 3
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LTIC 550 - Teaching Oral Skills to Adult English Language Learners: Methods and Materials
Crosslisted as CAHA 550X. Examination and application of methods and materials used to teach oral communication skills (listening and speaking) to English-language learners in adult education settings.
Credits: 3
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LTIC 551 - Teaching Literacy Skills to Adult English Language Learners: Methods and Materials
Crosslisted as CAHA 551X. Examination and application of methods and materials used to teach literacy skills (reading and writing) to English-language learners in adult education settings.
Credits: 3
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LTIC 552 - Curriculum Development for Adult English Language Learners
Crosslisted as CAHA 552X. Examination of current practices in teaching English language learners in adult education settings with focus on issues in program and curriculum design, including the curriculum as process, student and teacher assessment, teaching methodology, and professional development.
Credits: 3
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LTIC 553 - Crosscultural Issues in the Adult ESL Classroom
Crosslisted as CAHA 553X. Examination of cultural differences and their influences on adults learning English language skills and acquiring general perceptions of their social environment.
Credits: 3
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LTIC 555 - Methods and Materials for English Learners with Disabilities
Crosslisted as SESE 555X. Issues of learning English as a new language for students with special needs. Addresses theoretical bases, instructional strategies, materials, and activities facilitating individualized education plans and interventions for English Learners with disabilities, particularly those with learning disabilities.
Credits: 3
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LTIC 589 - Practicum in Multilingual/Multicultural Education
Crosslisted as TLCI 589X. Selected field experiences and instructional design projects in multilingual/multicultural education for those who are interested in improving professional skills for serving diverse populations of learners. May be repeated to a maximum of 6 semester hours. Does not satisfy student teaching requirement.
Credits: 1-6
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LTIC 598 - Issues in Teaching English Language Learners
Integration and synthesis of the concepts, principles, trends, and issues in literacy education for English language learners. Open only to master’s students in literacy education who are focusing on English language learners.
Prerequisites & Notes
PRQ: Completion of 24 semester hours in an approved master’s level program, or consent of department.
Credits: 3
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LTIC 700 - Seminar in Educating English Language Learners
Study of research on and theory of educating English language learners across the life span. May be repeated to a maximum of 9 semester hours when topic varies.
Credits: 3
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LTIC 701 - Supervision of Programs for English Language Learners
Procedures for developing a Bilingual/English as a Second Language (ESL) K-12 curriculum and examination of the knowledge base required of educators to understand and improve instruction for Bilingual/English Language Learners (ELLs) in the schools.
Prerequisites & Notes
PRQ: The candidate should hold the ISBE teaching approval or endorsement for English as a Second Language or bilingual education, or consent of department.
Credits: 3
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LTIC 720 - Review of Research in Teaching English Language Learners
Comprehensive study of research literature in teaching English language learners across the life span. Designed for advanced graduate students preparing literature reviews for the thesis or dissertation.
Credits: 3
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LTLA 520X - Language Arts in Early Childhood Education
Crosslisted with SEEC 520. Focus on language arts and associated experiences as an integral part of the young child’s growth and development.
Credits: 3
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LTLA 530 - Contemporary Language Arts
Introduction to contemporary applied language arts programs. Emphasis on methods, materials, and instructional procedures for elementary school children.
Credits: 3
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LTLA 537 - Acquisition of Spoken and Written Language
Study of language development in young children (ages 0-8). Includes indepth treatment of theories in developmental psycholinguistics. Emphases on parallels between oral development and literacy acquisition and on consequent preschool and elementary school teaching strategies.
Credits: 3
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LTLA 538 - Evaluating Children’s Literature
Children’s books considered in relation to literary merit and their potential for meeting developmental and ethnic needs of children. Attention given to classroom application.
Credits: 3
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LTLA 539 - Children’s Literature in a Multicultural Society
A historical and current perspective of multicultural influences in children’s literature. Implications for classroom programs are considered.
Credits: 3
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LTLA 540 - Teaching Language Arts in the Elementary School
Emphasis on principles of instruction and curriculum development in the language arts.
Credits: 3
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LTLA 541 - Teaching Young Adult Literature
Survey of young adult literature considered in relation to classroom applications and issues relevant to the developmental and diverse needs of middle and high school students.
Credits: 3
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LTLA 542 - Design and Production of Picture Books for Children and Young Adults
Close investigation of the picture book including basic reading and language arts methodologies and the creation of an original picture book. Skills for elementary and middle school classroom teachers to use in making aesthetic connections to reading and in creating specific instructional materials for children with special needs.
Credits: 3
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LTLA 543 - Writing in the Elementary School
Methods of developing writing skills of elementary students based on current theory and research.
Credits: 3
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LTLA 544 - Exploring Children’s Literature
An introduction to children’s literature with attention to literary merit, potential to meet the academic, cultural, emotional, and social needs of all children, and to prepare children as citizens of a diverse, democratic society. Attention given to classroom application. Designed for Master of Arts in Teaching candidates.
Credits: 1
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LTLA 550 - Teaching Language Arts in the Middle School
Practical applications and experiences for development of language arts teaching techniques and strategies. Evaluation of theoretical bases, approaches, activities, and materials facilitating development and assessment of language arts at the middle-school level.
Credits: 3
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LTLA 733 - Children’s Literature Research in Elementary Education
Examination of selected research in children’s literature and implications for instruction and curricular needs.
Prerequisites & Notes
PRQ: Recommended introductory children’s literature course and consent of department.
Credits: 3
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LTLA 760 - Advanced Seminar in Language Arts
Identification and analysis of problems and current issues in language arts education.
Credits: 3
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LTRE 500 - Improvement of Reading in the Elementary School
Advanced course in the teaching of developmental reading at the elementary level. Criteria for a desirable reading program and a consideration of innovative procedures in relation to the findings of research.
Credits: 3
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LTRE 501 - 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.
Credits: 3
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LTRE 505 - Teaching Reading in the Middle School
Theories and models. Practical applications and experiences for the development of teaching techniques and strategies to improve academic and recreational reading. Study strategies for middle school students. Evaluation of current approaches, programs, and young adolescent literature for teaching reading in the middle school.
Credits: 3
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LTRE 510 - Improvement of Reading in the Secondary School
Extension of reading skills and interests for all learners in the junior and senior high school. Role of reading in the instructional process.
Credits: 3
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LTRE 511 - Teaching Reading in the Content Areas
Adaptation of materials, reading skills, and study strategies to the content areas. Role of reading personnel as learning facilitators within the school setting.
Credits: 3
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LTRE 512 - Disciplinary Reading Instruction at the Postsecondary Level
Emphasis on the history, current scholarship, and best practices for disciplinary reading instruction at the postsecondary level.
Credits: 3
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LTRE 516 - Emerging Literacy Development
Emphasis on children’s developing literacy. Assessment techniques and organizational approaches to literacy instruction across the preschool and primary years.
Credits: 3
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LTRE 518 - Curriculum and Program-level Design in Postsecondary Reading
Emphasis on research, policy, and best practices related to curriculum and program-level design and implementation for postsecondary reading.
Credits: 3
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LTRE 519 - Teaching Postsecondary Reading
Emphasis on historical, theoretical, and pedagogical models relevant to methods of teaching postsecondary reading.
Credits: 3
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LTRE 520 - Diagnosis and Treatment of Reading Difficulties
Causes of reading difficulties, their diagnosis and correction in grades K-12. Current evaluative instruments.
Prerequisites & Notes
PRQ: LTRE 500, LTRE 505, LTRE 510, or LTRE 511; or consent of department.
Credits: 3
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LTRE 521 - Postsecondary Reading Assessment
Emphasis on the history, theory, research, policy, and practice related to reading assessment at the postsecondary level. Survey of various placement, diagnostic, informal, affective and non-cognitive, and exit-level measures.
Credits: 3
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LTRE 525 - Reading Interests of Adults
Exploration of reading interest of adults, including demographic aspects; popular nonfiction and fiction (bestsellers, genre fiction) books and periodicals; media tie-ins; reading promotion and readers advisory services in libraries.
Credits: 3
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LTRE 530 - Practicum in Diagnosis of Reading Difficulties
Case study techniques in the diagnosis of reading problems. Administration of various formal and informal tests and the interpretation of the test results. Making case studies, followed by the preparation of case reports. Written permission of department required.
Prerequisites & Notes
PRQ: LTRE 520, or consent of department.
Credits: 3
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LTRE 531 - Practicum in Problems of Teaching Reading
Clinical experience in applying procedures with severely disabled readers at the elementary and/or secondary level.
Prerequisites & Notes
PRQ: Consent of department. Recommended: LTRE 530.
Credits: 3
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LTRE 540 - Practicum in Corrective Reading in the Elementary School
Diagnostic techniques and corrective procedures suitable for testing and teaching the less severe reading disability cases among elementary school children. Supervised laboratory practice with children in a school setting required.
Prerequisites & Notes
PRQ: Consent of department. Recommended: LTRE 530.
Credits: 3
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LTRE 550 - Practicum in Corrective Reading in the Secondary School
Diagnostic techniques and corrective procedures suitable for testing and teaching the less severe reading disability cases among secondary school students. Supervised laboratory practice with students in a school setting required.
Prerequisites & Notes
PRQ: Consent of department. Recommended: LTRE 530.
Credits: 3
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LTRE 591 - Reading Institute
Basic reading problems and issues at all levels of reading instruction. May be repeated when subject varies; however, no more than 6 semester hours may be applied toward the M.S.Ed. degree in literacy education.
Credits: 1-3
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LTRE 701 - Supervisory Problems in Reading
Procedures for developing a K-12 curriculum in reading and the supervisory responsibilities of administrators and reading consultants in improving reading instruction in the schools.
Prerequisites & Notes
PRQ: Consent of department. Recommended: 12 graduate-level hours in reading.
Credits: 3
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LTRE 711 - Seminar in Research Studies in the Field of Reading
Designed for advanced student interested in the study of research reports in education, psychology, linguistics, and other disciplines which have a bearing on the problems of teaching reading.
Prerequisites & Notes
Recommended: ETR 520 and ETR 521; 12 graduate-level hours in reading.
Credits: 3
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LTRE 712 - Correlates of Effective Reading
The bases of methods in the teaching of reading and the reading process: word perception, reading readiness, personality and motivation variables, and other correlates.
Prerequisites & Notes
Recommended: 12 graduate-level hours in reading.
Credits: 3
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LTRE 713 - Seminar in Comparative Reading
Comparison of reading methods and related variables in different national and cultural groups.
Credits: 3
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LTRE 714 - Seminar in Reading
Identification and analysis of issues and problems in reading at all levels. May be repeated to a maximum of 9 semester hours.
Credits: 1-3
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LTRE 718 - Adult Reading Instruction
Emphasis on the teaching of reading to adults; strategies applicable to meet the needs of the adult learner; functional alternatives for instruction; preparation of volunteers and the role of the reading teacher with adults.
Credits: 3
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LTRE 719 - Principles and Methods of Teaching Postsecondary Reading
Emphasis on research, theoretical foundations, and philosophical models relevant to postsecondary reading instruction methods.
Credits: 3
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MATH 502 - Methods of Instruction in the Mathematics Curriculum for Elementary School
Crosslisted as TLEE 502X. Methods, techniques, materials, curricular issues, learning theories, and research utilized in the teaching of elementary school mathematics. Attention given to the teaching of exceptional students and to planning for multicultural learning situations. Intended for students in education. Accepted for credit as an elementary mathematics methods course, but not as an upper-division mathematical content course. Not open for credit toward the major or minor in mathematical sciences.
Prerequisites & Notes
PRQ: MATH 201 with a grade of C or better or consent of department.
Credits: 3
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MATH 509 - Methods of Instruction in the Middle School Mathematics Curriculum
Methods of instruction, manipulative materials, curricular issues, problems, and trends of teaching mathematics in the middle school. Learning theories and research in teaching mathematics for student understanding in grades 5-8, with attention to diversity issues and the needs of exceptional students. Assessment of student performance in mathematics at the middle school level. Accepted for credit as a middle school mathematics methods course.
Prerequisites & Notes
PRQ: Consent of department.
Credits: 3
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MATH 512 - Methods of Instruction in the Mathematics Curriculum for Secondary School
Objectives and organization of the curriculum and instructional materials for mathematics programs for secondary school with attention to methods of instruction, the needs of exceptional students, reading techniques in mathematics, and planning for multicultural learning situations. 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.
Prerequisites & Notes
CRQ: MATH 353 and consent of department.
Credits: 3
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MATH 515 - Uses of Technology in the Mathematics Curriculum for Grades K-12
Hands-on experiences working with current technology (scientific calculators, graphic 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 GPA calculations.
Prerequisites & Notes
CRQ: MATH 410, MATH 502, or MATH 512, or consent of department.
Credits: 3
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MATH 520 - 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 or consent of department.
Credits: 3
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MATH 521 - Abstract Algebra II
Continuation of MATH 520. 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 or MATH 520, or consent of department.
Credits: 3
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MATH 523 - 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, MATH 420 or MATH 520, or consent of department.
Credits: 3
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MATH 526 - Geometry, Numbers, and Algebra
Comparative survey of geometric and algebraic concepts; parallel lines and triangles in the Euclidean, hyperbolic, and spherical planes; similarity and trigonometry in the Euclidean plane; complex numbers and plane transformations; number fields, domains, and polynomials; division, prime factorization, and congruences for integers and polynomials; applications to cryptography and coding theory.
Prerequisites & Notes
PRQ: Admission to the graduate program in Middle School Mathematics Education, or consent of department.
Credits: 3
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MATH 527 - Topics in Calculus and Analysis
Introduction to the general field of mathematical analysis. Builds on MATH 526. Topics include discrete mathematics, sequences, difference equations and their solutions, limits of functions, continuity, differentiation and some applications including differential equations. Properties of trigonometric functions. Integration.
Prerequisites & Notes
PRQ: MATH 526 or consent of department.
Credits: 3
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MATH 530 - Advanced Calculus I
Reexamination 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, or consent of department.
Credits: 3
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MATH 531 - Advanced Calculus II
Further study of sequences and series of functions; functions of several variables.
Prerequisites & Notes
PRQ: MATH 430 or MATH 530, or consent of department.
Credits: 3
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MATH 532 - 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 MATH 531, or both MATH 334 and PHYS 385, or consent of department.
Credits: 3
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MATH 534 - 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; or consent of department.
Credits: 3
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MATH 535 - 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; or consent of department.
Credits: 3
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MATH 538 - 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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MATH 540 - 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 consent of department.
Credits: 3
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MATH 542 - 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; or consent of department.
Credits: 3
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MATH 550 - 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 or MATH 530, or consent of department.
Credits: 3
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MATH 556 - Linear Geometry
Treatment of affine and related geometries using the techniques of linear algebra.
Prerequisites & Notes
PRQ: MATH 420 or MATH 520, or consent of department.
Credits: 3
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MATH 560 - 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 240, MATH 336, PHYS 253, and PHYS 273; or consent of department.
Credits: 3
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MATH 580 - Number Theory
Divisibility, primes, congruences, quadratic reciprocity, Diophantine equations, continued fractions, and selected topics.
Prerequisites & Notes
PRQ: MATH 420 or MATH 520, or consent of department.
Credits: 3
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MATH 592 - School Mathematics
A. Elementary School
B. Junior High–Middle School
C. Secondary School
Intensive study of selected mathematical topics in curriculum and instruction as they relate to the teaching of mathematics. Not open for credit toward the major in mathematical sciences. Course may be repeated to a maximum of 12 semester hours as topic changes.
Prerequisites & Notes
PRQ: Consent of department.
Credits: 1-6
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MATH 602 - Topics for Teachers of Elementary School Mathematics
Contemporary curricula, learning theories and strategies, materials of learning and supporting empirical evidence.
Prerequisites & Notes
PRQ: MATH 402 or MATH 502, or consent of department.
Credits: 3
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MATH 603 - Whole Number Sense and Numeration
Contemporary curricula, learning theories and strategies, and tools for learning how to help children develop meaning for whole numbers and whole number operations. Not open for credit for students in mathematical science graduate degree programs.
Prerequisites & Notes
PRQ: MATH 402 or MATH 502, or consent of department.
Credits: 3
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MATH 604 - Geometry, Spatial Sense, and Measurement
Contemporary curricula, learning theories and strategies, and tools for learning how children learn to think geometrically. Topics include spatial reasoning, measurement concepts, and logical reasoning. Not open for credit for students in mathematical science graduate degree programs.
Prerequisites & Notes
PRQ: MATH 402 or MATH 502, and MATH 603, or consent of department.
Credits: 3
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MATH 605 - Understanding Rational Numbers
Contemporary curricula, learning theories and strategies, and tools for learning how to help children develop meaning for rational numbers and rational number operations. Not open for credit for students in mathematical science graduate degree programs.
Prerequisites & Notes
PRQ: MATH 402 or MATH 502, MATH 603, and MATH 604, or consent of department.
Credits: 3
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MATH 606 - Algebraic Thinking
Contemporary curricula, learning theories and strategies, and tools for learning how to help children develop algebraic thinking. Topics include recognizing, describing, generalizing, and representing patterns in concrete situations. Not open for credit for students in mathematical science graduate degree programs.
Prerequisites & Notes
PRQ: MATH 402 or MATH 502, MATH 603, MATH 604, and MATH 605, or consent of department.
Credits: 3
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MATH 610 - Theoretical Foundations of Mathematics Education
Survey of current developments in areas of human learning that relate directly to mathematics curriculum and instruction. Consideration of curriculum concerns, and an introduction to methods of critical reading of research reports.
Prerequisites & Notes
PRQ: Consent of department.
Credits: 3
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MATH 611 - Introduction to Mathematics Education Research
Introduction to the structure and scope of mathematics education research; reading and evaluation of original research; issues of validity and reliability in research; assembling components for the writing of research.
Prerequisites & Notes
PRQ: MATH 610 and at least one additional course numbered from MATH 602 through MATH 617, or consent of department.
Credits: 3
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MATH 612 - The Learning and Teaching of Mathematics, Grades 6-9
Curriculum goals and issues; recent developments in curriculum; learning research; alternate modes of presentation. Previous teaching experience recommended.
Prerequisites & Notes
PRQ: MATH 610 or consent of department.
Credits: 3
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MATH 613 - The Learning and Teaching of Algebra
Contemporary approaches to secondary school algebra; treatment of selected topics; instructional aids; individualized instruction; relevant research. Previous teaching experience recommended.
Prerequisites & Notes
PRQ: MATH 610 or consent of department.
Credits: 3
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MATH 614 - The Learning and Teaching of Geometry
Current programs, aims, issues, and trends in high school geometry; treatment of selected topics; instructional aids; relevant research. Previous teaching experience recommended.
Prerequisites & Notes
PRQ: MATH 610 or consent of department.
Credits: 3
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MATH 615 - Using Technology in the Teaching of Mathematics
Application of technology such as graphing calculators and microcomputers to the teaching of mathematics in secondary schools and the theoretical foundations of these applications; evaluation and analysis of software and graphing calculator activities designed to facilitate learning in such content areas as algebra, geometry, statistics, precalculus, and calculus.
Prerequisites & Notes
PRQ: MATH 610 and consent of department.
Credits: 3
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MATH 617 - Assessment and Evaluation in School Mathematics: Grades K-12
A balanced study of theoretical research-based foundations and classroom-reform-based perspectives on assessment and evaluation in school mathematics. Consideration of alternate forms of assessment and evaluation of mathematics teaching and of students’ mathematical learning. Topics include assessment standards, scoring rubrics, authentic and performance assessment, and portfolios.
Prerequisites & Notes
PRQ: MATH 610 or consent of department.
Credits: 3
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MATH 620 - Algebraic Structures I
Group theory including the Sylow theorems, the basis theorem for finite Abelian groups. Polynomial rings, field theory, Galois theory, solvable groups, and solvability of equations by radicals.
Prerequisites & Notes
PRQ: MATH 421 or MATH 521, or consent of department.
Credits: 3
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MATH 621 - Algebraic Structures II
Ring theory including the Artin- Wedderburn theorem, the Jacobson radical. Commutative algebra, Noetherian rings, and Dedekind domains.
Prerequisites & Notes
PRQ: MATH 620 or consent of department.
Credits: 3
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MATH 622 - Homological Algebra
Categories and functors, projective and injective modules, complexes and homology, Ext, Tor, and dimensions. Applications to cohomology of groups and ring theory.
Prerequisites & Notes
PRQ: MATH 621 or consent of department.
Credits: 3
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MATH 623 - Modern Applied Algebra
Concepts and techniques of modern algebra which are useful in applied mathematics. Topics include applications of group theory to coding, applications of lattice theory to switching theory, and applications of ring theory to linear automata.
Prerequisites & Notes
PRQ: MATH 420 or MATH 520, or consent of department.
Credits: 3
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MATH 630 - Real Analysis I
Theory of functions of a real variable, emphasizing Lebesgue measure and the Lebesgue integral. Basic properties of the classical Lebesgue function spaces are developed.
Prerequisites & Notes
PRQ: MATH 431 or MATH 531, or consent of department.
Credits: 3
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MATH 631 - Real Analysis II
Functional analysis; topics include normed linear spaces, general measure theory, Banach and Hilbert spaces, and operator theory.
Prerequisites & Notes
PRQ: MATH 450 or MATH 550, and MATH 630, or consent of department.
Credits: 3
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MATH 632 - Complex Analysis
Theory of functions of a complex variable including analytic functions and their properties, sequences and power series, Cauchy’s theorem on integration and its consequences, and evaluation of real integrals using residue theory.
Prerequisites & Notes
PRQ: MATH 431 or MATH 531, or consent of department.
Credits: 3
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