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Course Criteria
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4.00 Credits
This course is designed especially for students in business, economics, social sciences and life sciences (with applications drawn from these fields). The course covers basic concepts of linear equations, linear inequalities, systems of linear equations and matrices, systems of inequalities and linear programming, simplex method, set and counting theory, probability theory, stochastic processes (Markov processes are presented), theory of games, the mathematics of finance and mathematical modeling. Course Information: Prerequisite: Geometry and college algebra with a grade of C or better. Placement test may be required to register for this course. This course fulfills a general education requirement at UIS in the area of Mathematics.
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4.00 Credits
Limits and their properties. Definitions and some techniques of differentiation and the evaluation of definite integrals, with applications. Course Information: Prerequisite: MAT 101 with a grade C or better. This course fulfills a general education requirement at UIS in the area of Mathematics (IAI Code: M1 900-1).
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4.00 Credits
Applications of integration, with some formal techniques and numerical methods. Calculus of further transcendental functions (inverse trigonometric functions, exponentials, logarithms). Improper integrals, infinite sequences and series. Course Information: Prerequisite: MAT 115 with a grade of C or better, or equivalent. This course fulfills a general education requirement at UIS in the area of Mathematics (IAI Code: M1 900-2).
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3.00 Credits
May be used to meet the mathematics general education requirement for admission to UIS. Topics may include descriptive statistics, elementary probability, basic probability distributions, sampling, estimation, testing of hypotheses, simple linear regression, and correlation. Course Information: Prerequisites: Intermediate algebra and geometry with grades of C or better. Placement test may be required to register for this course. This course fulfills a general education requirement at UIS in the area of Mathematics (IAI Code: M1 902).
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3.00 Credits
Emphasis on concepts and applications through the using of the computer. Topics include descriptive statistics, basic probability distributions, sampling, and estimation, testing of hypotheses, correlation, simple linear regression, and analysis of categorical data. Course Information: Prerequisites: Geometry and intermediate algebra with a grade of C or better. Placement test may be required to register for this course. This course fulfills a general education requirement at UIS in the area of Mathematics (IAI Code: M1 902).
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0.00 Credits
The Math Studio serves as supplemental instruction for the 100-level Mathematics courses in the UIS General Education Curriculum, including MAT 101, MAT 111, MAT 112, and MAT 121. Students must be enrolled in one of those Math courses to enroll in MAT 199. Course Information: Credit/No Credit grading only.
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4.00 Credits
Basic analytic geometry in three dimensions, using vectors. Real-valued functions of two and three variables, partial derivatives, gradient and directional derivatives, level curves and surfaces, and maxima and minima. Parametrized curves in space, line integrals. Multiple integrals, with applications. Course Information: Prerequisite: MAT 116 with a grade of C or better, or equivalent. This course fulfills a general education requirement at UIS in the area of Mathematics (IAI Code: M1 900-3).
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4.00 Credits
Topics include sets, functions, relations; propositional and predicate logic, including truth tables and valid reasoning; Boolean algebra, minimization with Karnaugh maps, and Quine McClusky method; integer, rational, real, modular arithmetic, different bases, and complementary number systems; mathematical induction; recurrence relations; graph theory; and automata theory. Course Information: Prerequisite: College algebra with a grade of C or better. This course fulfills a general education requirement at UIS in the area of Mathematics (IAI Code: M1 905).
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0.00 Credits
Evaluation of mathematical sciences knowledge upon entering the program. Must be taken during the student's first semester of study.
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3.00 Credits
A theoretical course involving systems of linear equations, matrices, vectors in n-space, vector spaces, linear transformations, eigenvalues and eigenvectors, diagonalization, quadratic forms, and canonical forms. Course Information: Prerequisite: MAT 116, or equivalent. 4.000 Credit Hours Levels: Undergrad - Springfield Schedule Types: Lecture-Discussion, Online Liberal Arts & Sciences College Mathematical Sciences Department
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