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MTH 1003A: Elements of Mathematics I
3.00 Credits
Dowling College (Closed)
3 credits For non-science majors, particularly Elementary Education students. The emphasis is on mathematical structure. Informal logic and set theory, numeration systems, number theory and development of the real number system. Basic concepts of algebraic structures, including finite and mod ulo arithmetic systems. Offered: 2008 - 2010.
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MTH 1004A: Elements of Mathematics II
3.00 Credits
Dowling College (Closed)
3 credits Fundamental demonstrations of plane geometry theorems concern ing congruence, parallelism, similarity and angle measurement. Graphing of non-linear equations and principles of analytic geometry. Applications of network analysis such as Euler and Hamiltonian circuits. Prerequisite: MTH 1003A. Offered: 2008 - 2010.
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MTH 1006A: Statistics
3.00 Credits
Dowling College (Closed)
3 credits Descriptive statistics including measures of central tendency and vari ation of data. Definition of probability, rules of probability and probabili ty functions, including the Binomial, Poisson, and Normal distributions. Topics include confidence intervals, hypothesis testing, linear regression, and correlation. Prerequisite: MTH 1002A or MTH 1014A. Offered: 2008 - 2010.
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MTH 1007A: Operations Research
3.00 Credits
Dowling College (Closed)
3 credits An introduction to the quantitative techniques in current use in the business world. Considered in turn are break-even analysis, applications of probability, decision making under uncertainty, replacement analysis, linear programming and simulation. Prerequisites: MTH 1002A and MTH 1006A. Offered: 2008 - 2010.
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MTH 1017A: Discrete Mathematics
3.00 Credits
Dowling College (Closed)
3 credits Topics in Discrete Mathematics relating to computer science are stud ied: logic, functions, algorithms, proofs, induction, recursive functions, counting, graphs, and combinatorial problem solving. Prerequisite: MTH 1014A or equivalent. Offered: 2008 - 2010.
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MTH 1020A: Applied Calculus
4.00 Credits
Dowling College (Closed)
4 credits This course deals with the techniques and applications of differential and integral calculus. Topics include derivatives and integrals of algebraic, exponential, logarithmic and trigonometric functions. Applications include optimization problems, related rates, area under a curve and growth and decay problems. Prerequisite: C- or better in MTH 1014A. Note: A student may not receive credit for both this course and MTH 1020A. Offered: 2008 - 2010.
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MTH 1021A: Calculus I
4.00 Credits
Dowling College (Closed)
4 credits The fundamental ideas and techniques of differential calculus with the relevant analytic geometry and an introduction to some concepts of integral calculus. Topics include: functions, limits, continuity, and the derivative of algebraic and trigonometric functions, implicit differentia tion, and extensive applications including tangent lines and velocity, extrema, errors in measurement, and linear approximations. Technology is used extensively. Graphic programmable calculators are required. Prerequisite: C- or better in MTH 1014A or equivalent or challenge exam. Note: A student may not receive credit for both this course and MTH 1020A. Offered: 2008 - 2010.
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MTH 1022A: Calculus II
4.00 Credits
Dowling College (Closed)
4 credits A continuation of Mathematics 021. The fundamentals of integral cal culus, with special emphasis on problem solving. Topics include a study of logarithms and inverse trigonometric functions; antidifferentiation, introduction to differential equations; the definite integral; improper inte grals; Riemann sums, area, volumes, and surfaces of revolution; methods of integration, sequences, and series. Technology is used extensively. Graphic programmable calculators are required. Prerequisite: C- or better in MTH 1020A or MTH 1021A or equivalent or challenge exam. Offered: 2008 - 2010.
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MTH 2023A: Calculus III
4.00 Credits
Dowling College (Closed)
4 credits A continuation of Mathematics 022. Topics include power series, vec tors, polar coordinates, parametric equations, partial differentiation, mul tiple integration and applications. Technology is used extensively. Graphic programmable calculators are required. Prerequisite: C- or better in MTH 1022A or a challenge exam. Offered: 2008 - 2010.
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MTH 2101A: Network Flows
3.00 Credits
Dowling College (Closed)
3 credits This course is a survey of quantitative methods used to analyze net works in transportation planning and management. Students are intro duced to problems related to: shortest path and network flow algorithms, transshipment and transportation, minimum cost and maximum flow, fleet utilization, routing and scheduling, assignment, multi-objective rout ing, spanning tree, traveling salesman, and the use of the computer in solving case study projects. Prerequisite: MTH 1007A or MTH 1017A or MTH 1020A. Offered: 2008 - 2010.
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