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Course Criteria
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1.00 Credits
Prerequisite: Three years of college-preparatory mathematics (or its equivalent). Priority given to students in the elementary education program. An investigation of mathematics (arithmetic, geometry, algebra, problem solving) for elementary school teachers. Topics are selected from: sets, relations and functions; numeration systems; whole numbers and their operations; number theory; rational numbers and fractions; decimals and real numbers; geometry and measurement; and probability and statistics. Emphasizes doing mathematics, using manipulatives, and developing intuition and problem-solving skills. Laboratory. Bollman.
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1.00 Credits
Prerequisite: Permission of instructor. Descriptive statistics, probability, sampling distributions, hypothesis testing, parameter estimation, confidence intervals, linear regression, curve fitting and analysis of variance are discussed. Uses the Minitab statistics package to display and analyze data. Students may not receive credit for both Mathematics 109 and 210. Usually not open to students who have had Mathematics 141. Anderson.
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1.00 Credits
An introduction to discrete mathematics. Applications are drawn from diverse areas including biological sciences, economics, political science and personal finance. Topics typically include graph theory, management science, statistics, the mathematics of social choice, game theory and the logical foundations of mathematics. Investigation and creation of mathematical models. Intended for non-majors. Staff.
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1.00 Credits
Prerequisite: Permission of department. A modern, unified approach to algebra, trigonometry, logarithms and analytical geometry based on the concept of a function. Linear equations and inequalities, quadratic equations and inequalities, polynomials and rational functions, logarithms and exponential functions, trigonometric and inverse trigonometric functions, and analytic geometry (the circle, the parabola, the ellipse and the hyperbola) are normally covered. Emphasizes the use of graphing calculators and the use of mathematics as a problem-solving tool. Covers applications in natural science, social science and business. Serves as a preparation for calculus. Well-prepared students who already have a strong working knowledge of algebra, trigonometry and logarithms should elect Mathematics 141 in place of Mathematics 125. A graphing calculator is required. Staff.
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1.00 Credits
Prerequisite: Mathematics 125 or permission of department. Mathematics 141 and 143 constitute a thorough introduction to calculus for students who intend to continue in mathematics and for those who will use calculus in other fields such as science and engineering. Mathematics 141 covers limits, continuity, derivatives and a brief introduction to integration, as well as applications to problems in related rates, optimization, solid geometry and elementary mechanics. Requires a strong working knowledge of algebra and trigonometry. Students who are weak in these areas should elect Mathematics 125. A graphing calculator is required. Staff.
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1.00 Credits
Prerequisite: Mathematics 141 or permission of department. Second half of the standard one-year calculus sequence (see Mathematics 141 above). Mathematics 143 covers techniques of integration, applications of the integral, simple differential equations with their associated mathematical models, and sequences and series. Requires a strong working knowledge of algebra, trigonometry, derivatives, and some familiarity with integration, including Riemann sums and the Fundamental Theorem of Calculus. Students with a calculus background who are weak in these areas should elect Mathematics 141. A graphing calculator is required. Staff.
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1.00 Credits
Prerequisite: Mathematics 141 or equivalent. Topics include descriptive statistics, principles of probability, random variables, sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, regression and non-parametric statistics. Uses Minitab statistics program to analyze data. Students may not receive credit for both Mathematics 109 and 210. Anderson.
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1.00 Credits
Prerequisite: Mathematics 143 or 239, or permission of instructor. Vector spaces, matrices, Gauss-Jordan reduction, products, dimension, linear transformations, eigenvalues and eigenvectors, and a selection of applications of linear algebra to other disciplines. Develops skills in mathematical writing and creating mathematical proofs. Properties of equality, logical implication, proof by contradiction, quantification and proof by induction are illustrated in context. Messer.
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1.00 Credits
Prerequisite: Mathematics 141. A survey of discrete mathematics with topics selected from set theory, functions and relations, number theory, combinatorics, graph theory, logic (predicate calculus, quantifiers), introduction to proof techniques, and probability. Staff.
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1.00 Credits
Prerequisite: Mathematics 143. Vectors, inner and cross products, and vector-valued functions including parametric representations of curves and surfaces in space. Partial differentiation, the chain rule, function gradients, implicit differentiation, multivariate optimization, and Lagrange multipliers, multiple integrals and vector analysis, including divergence and curl of vector fields, as well as the theorems of Green, Stokes and Gauss. Mason.
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