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Course Criteria
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4.00 Credits
Lines, circles, ellipses. Functions and limits, differentiation, power rule, higherorder derivatives, product, quotient and chain rules, implicit differentiation, applications. Integration: definite integrals; indeterminate forms; exponential, logarithmic, trigonometric and hyperbolic functions; differentiation and integration, graphing. Fall–daytime only; spring–evening only.Prerequisite: MA-114.
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4.00 Credits
Methods of integration: completing the square, substitution, partial fractions, integration by parts, trigonometric integrals, power series, parametric equations. Partial derivatives. Introduction to multiple integrals. Prerequisite: MA-261. Fall-evening only; Spring-daytime only.
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4.00 Credits
Multivariable and vector calculus. Integrals in two and three dimensional coordinate systems. Cylindrical and spherical coordinates. Vector functions and their derivatives, directional derivatives. Gradients, divergence and curl. Stokes theorem, Green's theorem, Gausses theorem. Prerequisite: MA-262.
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3.00 Credits
This course covers the use of standard software tools such as Matlab and other applications to the solution of engineering problems. Solutions to linear equations, numerical methods and applications to integration are covered. Prerequisites: MA-261 and junior status.
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3.00 Credits
Solutions of systems of equations by Gauss elimination, inverse matrix and determinant methods. Matrix properties and operations; elementary matrices. Vector spaces and similarity transformations. Linear transformations. Eigenvalues and eigenvectors. Prerequisite: MA-262.
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3.00 Credits
Methods of solving first order equations with applications to mechanics and rate problems. Solutions of second order equations by undetermined coefficients and variations of parameters. Applications to circuits. Introduction to systems of equations and operational and numerical methods. Prerequisite: MA-262.
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3.00 Credits
Sets and methods of counting. Probability density functions, expected values and correlations. Binomial, Poisson, exponential and normal distribution. Central limit theorem and statistical estimation. Introduction to stochastic processes. Applications to noise and reliability. Prerequisite: MA-262.
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3.00 Credits
Number systems, floating-point arithmetic and error analysis. Taylor, interpolating and minimax polynomials. Integration and differentiation. Methods of solving equations, systems of linear equations. Prerequisites: MA-262 and CT-115 or CS-130.
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3.00 Credits
Definition of transform: Laplace transform of algebraic, exponential and trigonometric functions; basic theorems including shifting, initial and final-value theorems; unit-step, periodic and delta functions; methods of inverting transforms; solutions of differential equations by transform methods; applications to network problems; Fourier series and coefficients; expansion of functions in Fourier series; complex Fourier coefficients; Parseval's Theorem; Fourier transform and its properties. Prerequisite: MA-340.
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3.00 Credits
Definition of the Laplace and Fourier Transform. Laplace transform solution of differential equations, applications of the Laplace Transform and Fourier analysis to signal processing, control systems, filters, and AM modulation. Fourier Series and Partial differential equations. Properties and theorems of the Laplace and Fourier transforms. Delta function, expansion of functions in Fourier Series. Inverse transform methods. Prerequisite: MA-340.
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