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MATH 2050: APPLIED CALCULUS I
3.00 Credits
Robert Morris University
This course introduces students to the basic ideas of calculus. Topics covered include functions and graphs; differentiation, integration, and optimization of algebraic, exponential, and logarithmic functions of one independent variable; cost revenue and profit functions along with elasticity of demand and consumer surplus; and exponential growth and decay. The graphing calculator (TI83) is used throughout the course to discover and to gain insights into the fundamental concepts of calculus. Prerequisite -- MATH1010 or Advanced Placement
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MATH 2050 - APPLIED CALCULUS I
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MATH 2070: CALCULUS W/ANALYTIC GEOM I
4.00 Credits
Robert Morris University
This is the first in a three-course calculus sequence. Topics covered include limits, continuity, derivatives, rules for derivation, applications, and related rates; optimization techniques for extrema including Rolle's and mean value theorems; first and second derivative tests; curve sketching; differentials and indefinite integrals; Riemann Sums; integration techniques, and the Fundamental Theorem of Calculus. The TI-83 (or higher) graphing calculator is required. Prerequisite: MATH1020 or content evidence by placement examination
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MATH 2070 - CALCULUS W/ANALYTIC GEOM I
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MATH 2170: CALCULUS W/ANALYTIC GEOM II
4.00 Credits
Robert Morris University
This is the second course in a three-course calculus sequence. Topics covered include applications of the integral; area between curves; solids of revolution; moments and centroids; logarithmic and exponential functions; indeterminate forms; derivatives and integrals of trigonometric and inverse trigonometric functions; integration techniques and improper integrals; infinite series and sequences including Taylor and Maclaurin series. Prerequisite: MATH2070
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MATH 2170 - CALCULUS W/ANALYTIC GEOM II
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MATH 3030: OPERATIONS RESEARCH I
3.00 Credits
Robert Morris University
This course introduces students to quantitative methods and applications in business decision-making. The quantitative models studied in this course include matrix models, the Leontief input/output model, Markov chains, linear programming with shadow pricing and sensitivity analysis, transportation and assignment algorithms, and network models. Computer software is used as a practical implementation of these models. This course is usually offered only in the winter term. Prerequisites: STAT2110 or STAT3140 and MATH2070
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MATH 3030 - OPERATIONS RESEARCH I
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MATH 3040: OPERATIONS RESEARCH II
3.00 Credits
Robert Morris University
This course presents quantitative methods and business applications, most of which require a basic knowledge of probability and statistics. The topics of study include PERT/CPM, inventory control models, queuing systems, introduction to time series and forecasting, and introduction to simulation and Monte Carlo methods. Computer software is used as a practical implementation of the various models. This course is usually offered in the fall term. Prerequisite: MATH3030 (QS303)
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MATH 3040 - OPERATIONS RESEARCH II
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MATH 3090: CALCULUS W/ANALYTIC GEOM III
4.00 Credits
Robert Morris University
This course is the third in a three-course calculus sequence. Topics covered include conic sections, plane curves, parametric equations, vectors and curves in the plane, dot and cross products, applications, target and normal vectors, functions of several variables, partial derivatives, gradients, extrema of function of two variables, Lagrange multiples, multiple integrals, polar, cylindrical, and spherical coordinates. Software proficiency in word processing is required. Prerequisite: MATH2170 or equivalent.
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MATH 3090 - CALCULUS W/ANALYTIC GEOM III
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MATH 3200: GEOMETRY
3.00 Credits
Robert Morris University
This is a course designed primarily for students majoring in applied mathematics with teacher certification. Topics covered include classical Euclidean geometry, theorems of Ceva and Menelaus, varied sets of axioms, analytic and transformational geometry, non-Euclidean, and projective geometry. Finite geometries including nine point geometry of a circle and 25 point geometry are investigated. Software proficiency in word processing is required. Prerequisites: MATH2170 and COSK2220
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MATH 3200 - GEOMETRY
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MATH 3250: PRACTICUM TCHNG MATH WITH TECH
3.00 Credits
Robert Morris University
This course is designed to train students in the use of computer software, CD-ROM technology, and the graphing calculator for the teaching of mathematics and to allow these students to act as technology assistants in computer laboratories and as trainers of math tutors. Emphasis is placed on the use of the TI-83 graphing calculator in algebra, calculus, and finance, on the use of Excel software in statistics, and on CD-ROM technology used in elementary algebra. Training in the use of the equation editor in Microsoft Word will also be provided. Students are required to complete a minimum number of hours of tutor training and/or computer lab assisting and to review current mathematics software packages for secondary and post-secondary settings. Prerequisites: STAT2110 and MATH2070 with a grade of C or better.
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MATH 3250 - PRACTICUM TCHNG MATH WITH TECH
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MATH 3400: LINEAR ALGEBRA W/APPLICATIONS
3.00 Credits
Robert Morris University
This is a course designed for students with majors in several mathematics related areas. Topics covered include matrices, operations with matrices, inverses of matrices, singular and nonsingular matrices, determinants, cofactors, Cramer's rule, vectors and vector spaces, independence, basis and dimension, orthagonality, Gram Schmidt process, linear transformations, Eigen values, and Eigen vectors. Applications include linear programming, Markov chains, quadratic forms, theory of games, least squares, and linear economic models. Prerequisites: MATH2070 and COSK2220 or COSK2225
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MATH 3400 - LINEAR ALGEBRA W/APPLICATIONS
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MATH 3420: DIFFERENTIAL EQUATIONS
3.00 Credits
Robert Morris University
This is a course is designed primarily for students majoring in engineering, mathmatics, and other physical sciences. Topics covered include first and second order differential equations, boundry value problems, and methods of solution involving calculus, infinite series, Laplace transforms, and numeric procedures. Prerequisite: MATH2170
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MATH 3420 - DIFFERENTIAL EQUATIONS
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