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MATH 3400: Calculus IV
3.00 Credits
Fitchburg State University
3 cr. 3 hr. The calculus of polar coordinates, parametric curves, vector valued functions, quadratic surfaces and directional derivatives are studied. Double integrals in polar coordinates, line integrals and differential equations may also be considered. Q Prerequisite: MATH 3300 or MATH 2400 and MATH 2600.
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MATH 3400 - Calculus IV
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MATH 3500:
3.00 Credits
Fitchburg State University
3 cr.3 hr. Methods of Applied Mathematics One of the core courses for students in the Applied Mathematics concentration of the Mathematics Department. Students in this course will learn the basic techniques necessary for performing research in an application of Mathematics to another field of study. Students will also learn to use a Computer Algebra System for analysis and visualization. Upon completion of this course, students should have a firm foundation for pursuing further study in Applied Mathematics, as well as have a good appreciation for the use of Computer Algebra Systems to aid the analysis and visualization of mathematical problems. Prerequisites MATH 2300, 2600.
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MATH 3500 -
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MATH 3550: Ordinary Differential Equations
3.00 Credits
Fitchburg State University
3 cr. 3 hr. Students examine linear first and second order differential equations, methods of solution and applications. Series solutions and higher order linear equations are considered. Prerequisites: MATH 2600 and 3300.
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MATH 3550 - Ordinary Differential Equations
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MATH 3600: Introduction to Mathematical Logic
3.00 Credits
Fitchburg State University
3 cr. 3 hr. This course serves as an elementary introduction to classical and symbolic logic, including standard sentential and first order predicate calculi. Prerequisite: MATH 2500 or MATH 2300.
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MATH 3600 - Introduction to Mathematical Logic
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MATH 3900: Mathematics Seminar
1.00 Credits
Fitchburg State University
1 cr. 1.5 hr. The Seminar provides the opportunity for problem solving and research on one or more topics outside the core curriculum areas. It may be repeated once. Prerequisite: MATH 2500 and MATH 3300
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MATH 3900 - Mathematics Seminar
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MATH 4000: Real Variable Theory
3.00 Credits
Fitchburg State University
3 cr. 3 hr. The course covers rigorous treatment of the foundations of differential and integral calculus with such topics as the real numbers, continuity, metric and Euclidean spaces. Prerequisites: MATH 2600 and MATH 3300.
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MATH 4000 - Real Variable Theory
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MATH 4050: Topology
3.00 Credits
Fitchburg State University
3 cr. 3 hr. Topics covered include point sets, metric spaces, topological spaces, connectedness and compactness.
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MATH 4050 - Topology
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MATH 4150: Advanced Multivariate Calculus
3.00 Credits
Fitchburg State University
3 cr. 3 hr. The differential and integral calculus of vector valued functions and functions of several variables are examined. Prerequisites: MATH 2600, 3400.
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MATH 4150 - Advanced Multivariate Calculus
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MATH 4200: Probability and Statistics I
3.00 Credits
Fitchburg State University
3 cr. 3 hr. The course involves a careful development of elementary probability theory with applications followed by the study of discrete and continuous random variables, including the binomial, Poisson and normal. Q Prerequisite: MATH 3300.
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MATH 4200 - Probability and Statistics I
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MATH 4250: Probability and Statistics II
3.00 Credits
Fitchburg State University
3 cr. 3 hr. Random variables and their probability distributions are used to study problems in estimation, hypothesis testing, regression and analysis of variance. Prerequisite: MATH 4200.
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MATH 4250 - Probability and Statistics II
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