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MA 261: Calculus I
4.00 Credits
Capitol Technology University
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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MA 261 - Calculus I
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MA 262: Calculus II
4.00 Credits
Capitol Technology University
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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MA 262 - Calculus II
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MA 263: Calculus III
4.00 Credits
Capitol Technology University
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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MA 263 - Calculus III
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MA 300: Mathematical Methods for Engineering
3.00 Credits
Capitol Technology University
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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MA 300 - Mathematical Methods for Engineering
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MA 330: Linear Algebra
3.00 Credits
Capitol Technology University
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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MA 330 - Linear Algebra
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MA 340: Ordinary Differential Equations
3.00 Credits
Capitol Technology University
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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MA 340 - Ordinary Differential Equations
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MA 345: Probability and Statistics for Engineers
3.00 Credits
Capitol Technology University
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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MA 345 - Probability and Statistics for Engineers
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MA 35: Numerical Analysis
3.00 Credits
Capitol Technology University
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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MA 35 - Numerical Analysis
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MA 360: Laplace and Fourier Analysis
3.00 Credits
Capitol Technology University
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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MA 360 - Laplace and Fourier Analysis
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MAH 360: Honors Laplace and Fourier Analysis
3.00 Credits
Capitol Technology University
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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MAH 360 - Honors Laplace and Fourier Analysis
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