Mathematics Courses:
CS 101: Introduction to Computing: Engineering and Science Fundamental principles, concepts, and methods of computing, with emphasis on applications in the physical sciences and engineering. Basic problem solving and programming techniques; fundamental algorithms and data structures; use of computers in solving engineering and scientific problems. Math 221: Calculus I First course in calculus and analytic geometry for students with some calculus background; basic techniques of differentiation and integration with applications including curve sketching; antidifferentation, the Riemann integral, fundamental theorem, exponential and trigonometric functions. Math 231: Calculus II Second course in calculus and analytic geometry: techniques of integration, conic sections, polar coordinates, and infinite series. Math 241: Calculus III Third course in calculus and analytic geometry including vector analysis: Euclidean space, partial differentiation, multiple integrals, line integrals and surface inegrals, the integral theorems of vector calculus. Math 347: Fundamentals of Mathematics Fundamental ideas used in many areas of mathematics. Topics will include: techniques of proof, mathematical induction, binomial coefficients, rational and irrational numbers, the least upper bound axiom for real numbers, and a rigorous treatment of convergence of sequences and series. This will be supplemented by the instructor from topics available in the various texts. Students will regularly write proofs emphasizing precise reasoning and clear exposition. Math 415: Applied Linear AlgebraIntroductory course emphasizing techniques of linear algebra with applications to engineering; topics include matrix operations, determinants, linear equations, vector spaces, linear transformations, eigenvalues, and eigenvectors, inner products and norms, orthogonality, equilibrium, and linear dynamical systems Math 402: Non-‐Euclidean Geometry Historical development of geometry; includes tacit assumptions made by Euclid; the discovery of non-‐Euclidean geometries; geometry as a mathematical structure; and an axiomatic development of plane geometry. Math 405: Teacher’s Course In‐depth, advanced perspective look at selected topics covered in the secondary curriculum. Connects mathematics learned at the university level to content introduced at the secondary level. Intended for students who plan to seek a secondary certificate in mathematics teaching. Math 416: Abstract Linear Algebra Rigorous proof-‐oriented course in linear algebra. Topics include determinants, vector spaces over field, linear transformations, inner product spaces, eigenvectors and eigenvalues, Hermitian matrices, Jordan Normal Form. Math 417: Introduction to Abstract Algebra Fundamental theorem of arithmetic, congruences. Permutations. Groups and subgroups, homomorphisms, Group actions with application. Polynomials. Rings, subrings, and ideals. Inegral domians and fields. Roots of polynomials. Maximal ideals, construction of fields. Math 453: Elementary Number Theory Basic introduction to the theory of numbers. Core topics include divisibility, primes and factorization, congruencies, arithmetic functions, quadratic residues and quadratic reciprocity, primitive roots and orders. Additional topics covered at the discretion of the instructor include sums of squares, Diophantine equations, continued fractions, Farey fractions, recurrences, and applications to primality testing and cryptography. Math 444: Elementary Real Analysis Careful treatment of the theoretical aspects of calculus of functions of a real variable; topics include the real number system, limits, continuity, derivatives, and the Riemann integral. Math 463: Statistics and Probability 1 Introduction to mathematical statistics that develops probability as needed; includes the calculus of probability, random variables, expectation, distribution functions, central limit theorem, point estimation, confidence intervals, and hypothesis testing. |
Education Courses:
EPS 202: Foundations of Education – ACP Studies some of the problems of formulating and justifying aims and policies in American education, of designing and systematizing the curriculum, of organization and social context of the public school system, and of the teaching-‐learning process; examined in terms of perspectives provided by social philosophy, history, sociology, and philosophy of education. EPSY 201: Educational Psychology Basic undergraduate course in psychology of education for prospective teachers; material and principles from the various areas of psychology (mental hygiene, psychology of learning, etc.) applied to the practical problems of teaching. CI 401: Introduction to Teaching in a Diverse Society Orients the student to ways in English, Mathematics, Science, or Social Studies in learned in middle school and senior high school settings. Integrates an introduction to the use of technology as both a tool and a context for teaching and learning. As participants in a series of learning activities, students will reflect on the teaching and learning of English, Mathematics, Science, or Social Studies from an inquiry oriented perspective. Coursework is integrated with a middle or high school field experience to connect theory with practice in an examination of research and current trends in English, Mathematics, Science, and Social Studies education. CI 335: Content Area Application of Educational Technologies Course will explre a wide range of educational technologies, investigation in detail those that can be effectively integrated into the full range of content areas in education. Course will cover the use of distributed information servers, multi-‐media collaborative network applications and other advanced instructional technologies to support learning and teaching. EOL 440: Professional Issues for Teachers Provides the basic common understanding of schools as social organizations and the professional role of teachers in public schools; analyzes selected legal issues relating to student rights, employment and teacher rights and collective bargaining in schools; and serves as an introduction to instructional supervision, teacher evaluation, and continuing professional development of teachers. CI 402: Teaching Diverse Middle Grade Students Examines the curriculum and philosophy of teaching students in the middle grades. Students will focus on a number of related topcs including teaching a diverse middle school student population, including all students in instruction, using technology for teaching middle school English, Mathematics, Science, and Social Studies and alternative means of assessing students’ learning. Seminar content will be integrated with coursework in adolescent development, and special education in middle school settings. CI 473: Literacy in Content Areas Provides secondary and K-‐12 level education majors with principles and practices of effective language and literacy instruction in their content areas, consistent with the Core Language Arts and Content Standards of the Illinois State Board of Education. EPSY 430: Early Adolescent Development Examines early adolescent development, covering biological, cognitive, and social transitions. Topics include identity, autonomy, peer and family relationships and the role of schooling and the media. CI 403: Teaching Diverse High School Students Examines the curriculum and philosophy of teaching students in high school grades. Students will focus on a number of related topics including teaching a diverse student population, including all students in instruction, using technology for teaching high school, English, Mathematics, Science, and Social Studies and alternative means of assessing students’ learning. Seminar content will be integrated with coursework in instructional technology, assessment, and special education with high school students. EPSY 485: Assessing Student Performance Designed especially for secondary education majors, this course introduces students to basic concepts and practices of assessment, measurement, and evaluation as they are used in school settings. Also covers current trends and issues in assessment including large scale standardized testing practices and cultural issues in assessment. Students also become familiar with using assessment and evaluation data to inform instructional decisions. SPED 205: Introduction to Special Needs Topics include the history of services for students with special needs, the legal bases for special education, the characteristics of students with special needs, the referral process for students who may be eligible for special services, and the nature of learning disabilities. SPED 405: General Educator’s Role in Special Education Examination of issues in education students with special needs: service delivery models, roles of teachers and related service providers, student assessment, curriculum individualization, instructional strategies, management of problem behaviors, and program evaluation. CI 404: Teaching and Assessing Secondary School Students Emphasizes the practical application of theory and recommended practices for developing curriculum, teaching, and assessing learning in the middle and senior high school years. EDPR 442: Educational Practice in Secondary Education Course in practice teaching to meet certification requirements for teaching in the secondary schools. |