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Mathematics Course Descriptions

MATH120 - BASIC ALGEBRA (4-0-4)
Algebraic operations and equations, exponents and radicals, polynomials and factoring, and introduction to the geometry of angles and triangles. Prerequisite: Placement by the The Arioch Center Admissions Office. The Arioch Center Course.

MATH130 - STATISTICS AND APPLICATIONS (3-2-4)
This course is designed to introduce students to statistical concepts relating to engineering design, inspection, and quality assurance. Topics covered include prob-ability, normality, sampling, regression, correlation, and confidence intervals in reliability. Sampling plans, including MIL-STD-105 and MIL-ST-D-4, will be examined. Day Course.

MATH205 - COLLEGE MATHEMATICS I (3-2-4)
Algebra and trigonometry, including algebraic fractions, systems of linear equations, quadratic equations, literal equations, word problems and their solutions, right triangles, and vectors. Applications will be stressed. Prerequisite: High School Algebra II.

MATH211 - PLANE AND SOLID GEOMETRY (4-0-4)
A survey of elementary Euclidean geometry including lines and angles, measurement and units, properties of triangles, parallelograms, trapezoids, regular polygons, circles, conic sections, spheres, cylinders, pyramids, polyhedra, areas, and volumes. Day Course.

MATH225 - COLLEGE MATHEMATICS A (3-0-3)
Topics in college algebra including exponents, radicals, complex numbers, polynomials, factoring, algebraic fractions, equation solving techniques, an introduction to functions and their graphs, and linear functions. The Arioch Center Course.

MATH230 - COLLEGE MATHEMATICS B (3-0-3)
Topics in college algebra including functions and their graphs, composite and inverse functions, applied functions and variation, quadratic functions, exponential functions, logarithmic functions, systems of equations, and applications. Prerequisite: MATH225 College Math A. The Arioch Center Course.

MATH235 - COLLEGE MATHEMATICS C (3-0-3)
Topics in college algebra and trigonometry including the trigonometric functions, inverse trigonometric functions, trigonometric identities, trigonometric equations, and applications. Prerequisite: MATH230 College Math B. The Arioch Center Course.

MATH250 - PRECALCULUS (3-2-4)
Topics include: polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, parametric equations, analytic trigonometry, multivariable systems, and applications and modeling. Prerequisite: MATH205 College Math I. Day Course.

MATH265 - ENGINEERING MATHEMATICS (3-2-4)
Applied engineering applications of logarithms and exponentials, complex numbers, two and three dimensional vectors, matrix algebra and transformations, and basic statistics. Data collection, modeling and analysis of models using contemporary technological methods. Prerequisite: High school Trigonometry or Advanced Mathematics; Mathematics Placement Test. Day Course.

MATH280 - CALCULUS I (4-0-4)
Introduction to limits, definition of the derivative, differentiation of algebraic functions, rules of differentiation, implicit differentiation, application of the derivative, and integration of algebraic functions by substitution. Fundamental theorem of calculus, area, plus other applications of integration. Prerequisite: MATH235 College Mathematics C, MATH250 Precalculus or MATH265 Engineering Mathematics. Day and The Arioch Center Course.

MATH290 - CALCULUS II (4-0-4)
Differentiation of transcendental functions, and integration involving transcendental functions, techniques of integration and integration by using tables. Prerequisite: MATH280 Calculus I. Day and The Arioch Center Course.

MATH370 - MATHEMATICS: HISTORY AND APPLICATIONS (3-0-3)
This course will present important mathematical ideas that arose during a vast sweep of time. Ideas will be discussed in terms of intellect, impact on society, and their ultimate application to future engineering and science. Prerequisite: MATH250 Precalculus. Day Course.

MATH410 - DISCRETE MATHEMATICS (4-0-4)
Topics of this course to be chosen from: elementary logic, sets, permutations and combinations, induction, relations, digraphs, functions, trees, Warshall's Algorithm, and Boolean algebra. Prerequisite: MATH250 Precalculus or MATH235 College Math C. Day Course.

MATH425 - QUANTITATIVE METHODS (3-0-3)
Set theory and logic, basic matrix notation and manipulation, linear programming, and simplex method are studied. An introduction to probability and statistics is provided. Applications of these concepts are then applied to management problems with a survey of inventory problems, forecasting, and decision-making. Prerequisites: MATH235 College Math C. The Arioch Center Course.

MATH430 - FINITE MATHEMATICS (4-0-4)
Set theory and logic, matrix notation and manipulation, linear programming and simplex method are studied. An introduction to probability and statistics is provided. Problem-solving by computer. Prerequisite: MATH250 Precalculus. Day Course.

MATH435 - DISCRETE MATHEMATICS (3-0-3)
Topics of this course to be chosen from: elementary logic, sets, permutations and combinations, induction, relations, digraphs, functions, trees, Warshall's Algorithm, and Boolean algebra. Prerequisites: MATH235 College Mathematics C. The Arioch Center Course.

MATH450 - MATHEMATICAL MODELING AND NUMERICAL ANALYSIS (3-2-4)
This course is an introduction to computational techniques used in science and industry. Topics include: root-finding, interpolation, linear systems, numerical integration, solution of initial value problems. Prerequisite: MATH290 Calculus II or equivalent; Junior status. Day Course.

MATH460 - OPERATIONS RESEARCH (3-2-4)
An introduction to Operations Research including linear programming, scheduling, queuing and network theory. Other areas of interest are transportation and assignment methods, allocation problems and simulation (if  time permits). Prerequisite: MATH430 Finite Mathematics. Day Course.

MATH495 - APPLIED CALCULUS AND DIFFERENTIAL EQUATIONS (4-0-4)
Topics are chosen from multivariable calculus and ordinary differential equations of first and second order. Applications to physical systems will be emphasized. Prerequisite: MATH290 Calculus II. Day and The Arioch Center Course.

MATH505 - PROBABILITY AND STATISTICS FOR ENGINEERS (3-2-4)
Topics studied are basic probability and a variety of probability distributions used in engineering modeling and reliability (expected life of products); linear regression and correlation; and hypothesis testing. Prerequisite: MATH290 Calculus II.

MATH510 - CALCULUS III (4-0-4)
L'Hopital Rule, improper integrals, vectors, three-dimensional analytic geometry, partial differentiation, multiple integrals. Prerequisite: MATH290 Calculus II. Day and The Arioch Center Course.

MATH620 - APPLIED DIFFERENTIAL EQUATIONS I (4-0-4)
Introduction to the solution of differential equations. First order: separable, linear with applications. Second order: linear, constant coefficients, homogeneous, and non-homogeneous. Methods: undetermined coefficients, and Laplace transform. Other selected topics and applications are studied. Prerequisite: MATH510 Calculus III. Day and The Arioch Center Course.

MATH640 - APPLIED DIFFERENTIAL EQUATIONS II (4-0-4)
Solutions of linear systems of ordinary differential equations with applications. Numerical methods for solving differential equations are developed and implemented on a computer. Solutions of separable partial differential equations with boundary-value problems applications, power series solutions of ordinary differential equations. Prerequisites: MATH620 Applied Differential Equations I; an introduction to computer programming course. Day Course.

MATH890 - LINEAR ALGEBRA AND MATRIX THEORY (4-0-4)
Topics include the basic operations of n-tuples and matrices, geometric vectors, equations of lines and planes, systems of linear equations, row reduction of matrices, linear independence, determinants, and an introduction to basis, dimension, eigenvalues, eigenvectors, and vector spaces. Prerequisite: MATH510 Calculus III. Day Course.

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