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 Dependent Variable

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# Mathematics Courses

MATH 100, INTERMEDIATE ALGEBRA, 4 credits, non-degree only. This course is for students with less than a 2-year algebra sequence from high school or whose score on the mathematics placement test is not satisfactory for CORE 130 or MATH 101. Review of basic concepts with emphasis on equations and inequalities, functions and graphing, systems of linear equations and graphing, exponential and logarithmic functions, and the conic sections. The above topics are introduced in their basic setting.

MATH 101, 101S, COLLEGE ALGEBRA, 4 credits. This course presents fundamental concepts of algebra are reviewed, but emphasis is on advanced study of algebraic equations and inequalities, algebraic functions and their graphs, exponential and logarithmic functions, and systems of equations and inequalities. Additional topics will be covered following completion of the topics listed above. The course will make use of technology (calculators and computers) and mathematical modeling for solving both hypothetical and real-life problems. The course is recommended for students needing more algebraic experience before taking advanced courses in their discipline (for example, quantitative courses not requiring trigonometry). Prerequisites: MATH 100 or successful completion of a 2-year sequence in high school algebra and a suitable score on a mathematics placement test.

MATH 110, PRECALCULUS, 4 credits. This course emphasizes functions and their graphs, exponential and logarithmic functions, trigonometry, trigonometric functions and applications, systems of equations and inequalities, matrices and determinants, series, counting, and probability. The course will make use of technology and mathematical modeling for problem solving. This is a one semester preparation for calculus, involving all of the elementary functions. Prerequisites: MATH 101 or successful completion of at least a 2-year sequence of high school algebra and an adequate score on a mathematics placement test.

MATH 115, DISCRETE MATHEMATICS, 4 credits. This course is a non-calculus based course designed for students interested in computer science. No previous experience is required. The course will provide the mathematical foundations necessary for other computer science courses. Topics covered include introduction to formal logic, techniques of proofs, recursion and recurrence relations, elementary analysis of algorithms, counting principles, relations and functions, graphs and trees, and graph algorithms. Prerequisite: MATH 110 or eligibility to enroll in MATH 120.

MATH 120, CALCULUS I, 4 credits. Topics of this course include limits, derivatives, and integration of algebraic, trigonometric, exponential, and logarithmic functions, with applications. The course will use technology for exploration and problem-solving. Prerequisites: MATH 110 or successful completion of at least a two year sequence in high school algebra and high school trigonometry, and an adequate score on the mathematics placement test.

MATH 130, CALCULUS II, 4 credits. This course is the second of a three-semester course sequence. Topics included are techniques of integrations, improper integrals, conic sections, polar coordinates, parametric equations, solid analytic geometry and vectors in space, and applications. Prerequisite: MATH 120.

MATH 200, MATHEMATICS FOR ELEMENTARY TEACHERS, 4 credits. This course introduces students to the algorithms of arithmetic, number bases, mensuration and convergence factors. Divisibility properties of the integers, primes and composites, sets and numbers, logic and sets and techniques of proof. Prerequisite: MATH 101 or Core 130. Not open to students who have completed MATH 220.

MATH 210, CALCULUS III, 4 credits. This course is the third in a three-semester sequence. Topics included are infinite series, vector valued-functions, partial differentiation, multiple integration, and topics in vector calculus (line integrals, surface integrals, Green’s Theorem, Divergence Theorem, and Stokes’ Theorem). A computer algebra system will be used for problem-solving and to gain new insight and understanding. This three course sequence is very important for advanced studies in mathematics and many other disciplines. Prerequisite: MATH 130.

MATH 220, INTRODUCTION TO HIGHER ALGEBRA, 4 credits. This course is an introduction to fundamental mathematical techniques used in upper-level mathematics courses and other disciplines. The course presents the principles of mathematical logic and uses them to examine standard methods of direct and indirect proof, including mathematical induction. Topics include techniques from elementary number theory and the naive set theoretic approach to functions and relations. An axiomatic development of some structures is introduced, as well as systems of linear equations and matrices. Prerequisite: MATH 120 or permission of the instructor.

MATH 240, LINEAR ALGEBRA, 4 credits. This course introduces students to systems of linear equations and matrices, abstract vector spaces and linear transformations, orthogonality, eigenvalues, eigenvectors, and diagonalization. Some attention is given to the development of abstract reasoning and a variety of applications of linear algebra in natural and social science. Prerequisite: MATH 130 or concurrent enrollment in MATH 130.

MATH 270, ORDINARY DIFFERENTIAL EQUATIONS, 4 credits. This course is on linear differential equations, Integral transforms, integrating in series and system of linear differential equations with applications. Prerequisite: MATH 130.

MATH 320, ALGEBRAIC STRUCTURES, 4 credits. This course is a systematic study of groups, rings and fields complete with substructures, homorphisms, endomorphism, isomorphisms and automorphism and field extensions. Prerequisite: MATH 240.

MATH 353, INTRODUCTION TO REAL ANALYSIS, 4 credits. This course represents a rigorous treatment of limits and continuity with an introduction to a topology for the reals, completeness of the reals, differentiability and integrability and sequences, series and the theory of convergence. Prerequisite: MATH 240.

MATH 390, SPECIAL TOPICS IN MATHEMATICS, 4 credits. Topics vary, depending on the interest of students and staff. Prerequisite: Permission of the instructor.

MATH 395, SENIOR SEMINAR, 1 credit. This course is open only to senior mathematics majors. Under the supervision of a full time member of the mathematics faculty, the student will prepare a seminar to be presented orally and in writing.

MATH 398, INDEPENDENT STUDY, 3-4 credits. In this course, the student may complete any mathematics requirement by independent study and periodic evaluations by a full-time member of the Mathematics faculty. Prerequisite: Approval of Program Coordinator.