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  • 5.00 Credits

    Introductory concepts of calculus presented: limits, continuity, derivatives, techniques of differentiation, applications of derivatives to related rates and extrema problems, Rolle's Theorem and Mean Value Theorem, antiderivatives, and Fundamental Theorem of Calculus. This course applies toward the mathematics concentration. Prerequisite: LAM310. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours
  • 5.00 Credits

    Continued applications of the Fundamental Theorem of Calculus: arc length, surface area, centroids, fluid pressure, and work. Other topics include integration formulae, sequences and Riemann sums, transcendental functions, hyperbolic functions, and indeterminate forms. This course applies toward the mathematics concentration. Prerequisite: LAM311. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours
  • 5.00 Credits

    This course examines advanced techniques of integration, the derivatives and integrals of inverse trigonometric functions and hyperbolic functions, improper integrals, and infinite series. Topics include integration by parts, substitution, partial fractions, trigonometric substitution, and integration with tables. Infinite series, convergence, power series, and Taylor series are also included. This course applies toward the math concentration. Prerequisites: LAM311 Calculus I and LAM312 Calculus II or equivalent. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours
  • 5.00 Credits

    A Problem Solving Approach A study of the historical development of mathematics and certain mathematical concepts from early times to the present with considerations of the problems that mathematicians have faced. The mathematical emphasis will be on famous theorems from each era. Biographies of mathematicians and historical analyses of each period will be included. This course applies toward the mathematics concentration. Prerequisite: at least one LAM112 or LAM213 and a 200-level mathematics course or equivalent. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours
  • 5.00 Credits

    This course provides an introduction to the topics and techniques of discrete methods, combinatorial reasoning, and finite algebraic structures. Set theory, logic, and functions provide the unifying themes as finite systems are studied. Topics include sets, counting, recursion, graph theory, trees, nets, Boolean Algebra, automata, and formal grammars and languages. The nature and importance of the algorithmic approach to problem solving is stressed. This course applies toward the mathematics concentration. Prerequisite: At least one 200-level mathematics course or consent of department. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours
  • 5.00 Credits

    This course deals with the problem of minimizing or maximizing a linear function in the presence of linear inequalities. Linear programming is used by decision makers to solve multi-variable, multi-goal problems commonly found in accounting, finance, management, marketing, industry, government, military, and urban planning. Topics include the study of linear inequalities, linear programming problems, and solving problems by the simplex method. This course applies toward the mathematics concentration. Prerequisite: LAM214 or LAM220 or consent of department. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours
  • 5.00 Credits

    This course presents the most basic laws of matrix algebra. Methods for obtaining a complete solution of any given system of linear equations, homogeneous or nonhomogeneous, are introduced. This method allows extensive use of concrete examples and exercises to facilitate the learning of abstract concepts. This course applies toward the mathematics concentration. Prerequisite: LAM220 or consent of department. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours
  • 5.00 Credits

    Through a development of the real number system and its subsystems, the structural ideas that underlie arithmetic and algebra are examined. When appropriate, calculators are used to illustrate and apply the properties of real numbers. Roles of symbolic logic, proof, and functions are explored. This course applies toward the mathematics concentration. Prerequisite: LAM311. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours
  • 5.00 Credits

    This course develops the theories of probability and statistics from a theoretical standpoint. Topics include: mutually exclusive events, independent and dependent events, conditional probability, combinatorics, discrete and continuous random variables, sampling methods, confidence intervals, hypothesis testing, and analysis of variance. This course applies toward the mathematics concentration. Counts in the Quantitative Reasoning Area of General Education requirements. Prerequisite(s): LAM308 recommended and LAM311 required. 5 quarter hours
  • 5.00 Credits

    Major concepts of Euclidean geometry and selected non- Euclidean geometries are examined. Theorems of the reals, incidence, congruence, and distance are proved using a variety of methods. Various interpretations of geometry through numbers, vectors, and transformations of the plane are explored. This course applies toward the mathematics concentration. Prerequisite: LAM311 required; LAM307 recommended. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours
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