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Course Criteria
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3.00 Credits
M 163. Calculus II. 3(3.0). The definite and indefinite integral; techniques of integration; differentiation and integration of transcendental functions; applications of integration. Prerequisite: M 153. (F,S)
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4.00 Credits
M 168. Calculus II. 4(4,0). A study of how calculus is used to formulate and solve application problems in science and engineering. Topics in this course are as follows: Differential Equations (Slope Fields and Euler's Method, First-Order Linear Differential Equations), Area of Plane Regions, Volume-of Solids, Arc Length, Surface of Revolution, Work, Moments, Center of Mass, Fluid Pressure, Fluid Force, Integration by Parts, Trigonometric Integrals, Partial Fractions, Improper Integrals, Sequences and Series, Convergence, Alternating Series, Ratio and Root Test, Taylor Series, Power Series, Parametric and Polar Coordinates, Kepler's Laws.
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3.00 Credits
M 208. Introduction to Statistics. 3(3,0). Descriptive statistical measures, discrete/continuous random variables, probability/sampling distributions, statistical inference to include hypothesis testing, point/interval estimation, correlation, and regression. A calculator is required. Prerequisite: M 152. (F,S)
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3.00 Credits
M 215. Logic, Sets, and Proofs. 3(3,0). An introduction to the language of logic and set theory, elementary set theory, properties of the real number system, symbolic logic and its relationship to theory, algorithms and their complexity, set counting methods and recurrence relations. Special attention will be given to proof of the various theorems and properties. Prerequisite: M 151. (F,S)
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3.00 Credits
M 250. Linear Algebra for Science and Engineering. 3(3,0). The course will cover the following fundamental topics: two and three dimensional vectors. Do not cross product with applications in physics and engineering; Matrices and their elementary properties, Linear systems and determinants, Matrix Decomposition, eigenvalues eigenfunctions. Prerequisites: M 153.
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4.00 Credits
M 278. Calculus III. 4(4,0). A study of how calculus is used to formulate and solve application problems in science and engineering. Topics in this course are as follows: Partial Derivatives, Differentials, Chain Rule, Directional Derivatives and Gradient, Maximum/Minimum, Applications of Minimum/Maximum, Lagrange Multipliers, Iterated Integrals, Change of Variables, Center of Mass and Moment of Inertia, Surface Area, Triple Integrals and Applications, Vector Fields, Line Integrals, Conservative Vector Fields, Green's Theorem, Parametric Surfaces, Surface Integrals, Divergence Theorem, Stokes Theorem.
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3.00 Credits
M 314. Linear Algebra. 3(3,0). This course covers vectors and linear spaces, operations on matrices, determinants, linear systems of equations, linear subspaces, linear transformations and canonical forms. Prerequisite: M163, M 215. (F,S)
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3.00 Credits
M 315 Discrete Mathematics. 3(3,0). An introduction to computer based mathematics including recursion, algorithms and their complexity, graph theory and the theory of formal languages. Prerequisite: M 215. (F,
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3.00 Credits
M 350. Applied Mathematics. 3(3,0). This course stresses the application of mathematics to problems drawn from engineering, physical, chemical and biological fundamentals. Course topics include the following: Advanced topics from fourier analysis, partial differential equations, boundary value problems, signal processing and wavelet analysis. Prerequisite: M 237.
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3.00 Credits
M 403. Differential Equations. 3(3,0). Ordinary differential equations with applications; series solutions; solution by Laplaces transform; numerical methods. Prerequisite: M 237. (F)
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