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Course Criteria
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0.00 Credits
Open only to students in Focus:HOPE/Greenfield Coalition B.S.M.F.T. Program. Arithmetic, including fractions, decimals, percentage, conversion of units; geometry; equations in one unknown and graphing of lines; ratios and proportions; operations with polynomials; factoring; radicals and exponents. (Y)
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3.00 Credits
Prereq: GCM 1010. Open only to students in Focus:HOPE/Greenfield Coalition B.S.M.F.T. Program. Functions and graphs; systems of linear equations; quadratic equations; exponential and logarithmic functions; introduction to matrices; determinants; Cramer's rule; linear inequality; introduction to conic sections. (Y)
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2.00 Credits
Prereq: GCM 1013. Open only to students in Focus:HOPE/Greenfield Coalition B.S.M.F.T. Program. Trigonometric functions with right angle application; radian measure; general trigonometric functions; graphing of trigonometric functions; identities; trigonometric equations; vectors in two- and three-dimensional space; oblique triangles; complex numbers and polar coordinates. (Y)
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4.00 Credits
Prereq: GCM 1022. Open only to students in Focus:HOPE/Greenfield Coalition B.S.M.F.T. Program. Limits, continuity, tangents, derivatives, curve sketching, indefinite and definite integrals, applications of derivatives, related rates, area between two curves, derivatives and integration of transcendental functions, use of computer-based tools (such as Maple/Mathpert). (Y)
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3.00 Credits
Prereq: GCM 1013. Open only to students in Focus:HOPE/Greenfield Coalition B.S.M.F.T. Program. Introduction to theory of statistics. Prediction, data representation, probability, sampling theorem, estimating, correlation, tools for quality control, descriptive statistics, data collection systems, control charts, process capability, tolerance analysis, hypothesis testing and regression analysis. (Y)
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4.00 Credits
Prereq: GCM 2114. Open only to students in Focus:HOPE/Greenfield Coalition B.S.M.F.T. Program. Calculus of transcendental functions; L'Hopital's rule; application of derivatives and integration of transcendental functions; techniques of integration; application of integrals; sequences and series including power, Taylor and Fourier; integration of compound functions; trigononetric and inverse trigonometric functions. (T)
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4.00 Credits
Prereq: GCM 3214. Open only to students in Focus:HOPE/Greenfield Coalition B.S.M.F.T. Program. Analytic geometry in two and three dimensions; plane curves; calculus of vectors; functions of several variables; differentiation and integration of several variables and applications; linear algebra; characteristic equations; applications to moment and force. (T)
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2.00 Credits
Prereq: GCM 3214. Open only to students in Focus:HOPE/Greenfield Coalition B.S.M.F.T. Program. Ordinary differential equations; solutions to higher order differential equations with constant coefficients; applications of first order differential equations; matrix algebra; Laplace transform; systems of linear differential equations and applications. (T)
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2.00 Credits
Prereq: GCM 3312. Open only to students in Focus:HOPE/Greenfield Coalition B.S.M.F.T. Program. Higher order differential equations; series solution of linear equations; modeling with higher order differential equations; Laplace operator; systems of differential equations; and applications. (T)
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1.00 Credits
Prereq: GCM 2413. Open only to students in Focus:HOPE/Greenfield Coalition B.S.M.F.T. Program. Introduction to the key aspects of designing, executing, and analyzing data from a designed experiment. Basic principles will include randomization, replication, and blocking. Types of experiments will include single factor experiments, full factorials, and factional factorials. Analysis techniques will include analysis of variance (using a statistical software package) and graphical techniques. Material will be presented using numerous examples and by planning and conducting several in-class experiments. A group project involving the design, execution, and analysis of an experiment is required. (T)
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