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Course Criteria
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3.00 Credits
An introduction to computer programming and algorithm development, with specific focus on mathematical applications. Students will create programs to solve computationally difficult problems and to analyze mathematical models of real-world phenomena through simulation. All projects and assignments will require the use of a computer. Prerequisite: MTH 245 or permission of instructor.
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3.00 Credits
A study of a specialized subject area which may vary based on student/faculty interest. For non-major students only. The topic, course structure and instructor will be announced prior to pre-registration. There are no prerequisites.
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3.00 Credits
A continuation of MTH 246, topics include vectors in three-dimensional space, vector-valued functions, partial derivatives, multiple integrals and vector analysis. A TI 89 symbolic algebra system and graphing calculator is required for class assignments and testing. Some assignments will require computer use. Prerequisite: MTH 246.
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3.00 Credits
Introduction to methods of solution and applications of ordinary differential equations and systems of ordinary differential equations. A TI 89 symbolic algebra system and graphing calculator is required for class assignments and testing. Some assignments will require computer use. Prerequisite: MTH 235, 246.
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3.00 Credits
Historical development of geometry from Mesopotamian civilization to the present that includes axiom systems, Euclidean and non-Euclidean geometries, topology, and other related topics. Some assignments will require computer use. Prerequisite: MTH 235, 245, or permission of instructor
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3.00 Credits
This course includes prime numbers, divisibility and factorization, modular arithmetic, the Euclidean algorithm, linear Diophantine equations, congruencies, the Chinese remainder theorem, multiplicative orders, the Euler phi-function and primitive roots. A TI 89 graphing calculator is required for class assignments and testing. Many assignments will require computer use to generate data needed for making conjectures. Prerequisite: MTH 231, 245, 246.
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3.00 Credits
An introduction to the basic techniques of writing proofs. Application of proof writing techniques and an in-depth study of fundamental concepts and principles that are used throughout mathematics: logic, sets, relations, functions and infinity through topics such as Cartesian product, partitions, equivalence relations, mathematical induction, set indexing, special functions and transfinite numbers. Prerequisites: MTH 231 and MTH 246.
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3.00 Credits
An in-depth analysis of properties of the real number line, higher-dimensional Euclidean spaces and general metric spaces. Limits, sequences and series are studied. The basic theory of functions of a real variable is considered, including continuity, derivatives and integrals. Prerequisite: MTH 305
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4.00 Credits
(For description: BUS 341)
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3.00 Credits
Research on topics related to the student's study of mathematics or its related fields. Several projects/papers must be developed and presented. Prerequisite: Permission of the instructor.
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