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Course Criteria
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4.00 Credits
4 credits Powers Introduction to functions and modeling; differentiation. There will be a particular focus on mathematical modeling and business applications. Applications include: break-even analysis; compound interest; elasticity; inventory and lot size; income streams; and supply and demand curves. The course will include the frequent use of Microsoft Excel. A TI-84 or TI-83 graphing calculator is required. Co-requisite: CSC 151. Prerequisite: MTH 101 or its equivalent.
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4.00 Credits
4 credits Powers Functions of various types: rational, trigonometric, exponential, logarithmic; limits and continuity; the derivative of a function and its interpretation; applications of derivatives including maxima and minima and curve sketching; antiderivatives, the definite integral and approximations; the fundamental theorem of calculus; integration using substitution. A TI-89 calculator is required for mathematics majors; a TI graphing calculator is required for other majors. Prerequisite: MTH 113 or its equivalent.
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3.00 Credits
3 credits Powers Overview of mathematical concepts that are essential tools in navigating life as an informed and contributing citizen; logical reasoning, uses and abuses of percentages, interpreting statistical studies and graphs, the basics of probability, descriptive statistics, and exponential growth. Applications of these topics include population statistics, opinion polling, voting and apportionment, statistics in disease diagnoses and health care, lotteries and games of chance, and financial mathematics.
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4.00 Credits
4 credits Differentiation and integration of inverse trigonometric and hyperbolic functions; applications of integration including area, volume, and arc length; techniques of integration including integration by parts, partial fraction decomposition, and trigonometric substitution; L’Hopital’s Rule; improper integrals; infinite series and convergence tests; Taylor series; parametric equations; polar coordinates; conic sections. A TI-89 calculator is required for Mathematics majors; a TI graphing calculator is required for other majors. Prerequisite : MTH 120.
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4.00 Credits
4 credits Three-dimensional geometry including equations of lines and planes in space, vectors. An introduction to multi-variable calculus including vector-valued functions, partial differentiation, optimization, and multiple integration. Applications of partial differentiation and multiple integration. A TI-89 calculator is required. Prerequisite: MTH 221.
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4.00 Credits
4 credits Systems of linear equations; matrices; determinants; real vector spaces; basis and dimension; linear transformations; eigenvalues and eigenvectors; orthogonality; applications in mathematics, computer science, the natural sciences, and economics. Prerequisite: MTH 221.
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3.00 Credits
3 credits This course is the first half of a two-semester course in discrete mathematics. The intended audience of the course consists of computer science majors (both B.A. and B.S.) and IT majors. Topics in the course include logic, sets, functions, relations and equivalence relations, graphs, and trees. There will be an emphasis on applications to computer science.
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3.00 Credits
3 credits This course is the second half of a two-semester course in discrete mathematics. The intended audience of the course consists of computer science majors (both B.A. and B.S.) and IT majors. Topics in the course include number theory, matrix arithmetic, induction, counting, discrete probability, recurrence relations, and Boolean algebra. There will be an emphasis on applications to computer science. Prerequisite: MTH 260
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3.00 Credits
3 credits Propositional logic; methods of proof; sets and cardinality; basic properties of integers; elementary number theory; structure of the real numbers; sequences; functions and relations. Prerequisite: MTH 221.
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3.00 Credits
3 credits Theory behind calculus topics such as continuity, differentiation, integration, and sequences and series (both of numbers and of functions); basic topology, Fourier Series. Prerequisites: MTH 222 and 302
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