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Course Criteria
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3.00 Credits
Presents the development of some major mathematical achievements throughout history. The course addresses both how mathematics has been developed throughout history and under what conditions it was developed. Emphasis is placed on great mathematicians, their contributions, and their methods of reasoning, including the contributions of underrepresented groups and diverse cultures. It is designed for math and math education majors, but it is suitable for students in any major.
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3.00 Credits
Presents an introduction to the language of mathematics, symbolic logic, modular arithmetic, combinatorics, graphs, and ciphers. This course will discuss how these structures relate to the field of digital forensics with emphasis on students being able to express clearly the ideas of discrete mathematics and logically explain solutions. Prerequisites: MATH 130 - Finite Math and MATH 141 - Introduction to Statistics.
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3.00 Credits
Introduces the language of mathematics and proof, symbolic logic, set theory, relations, functions, combinatorics, and mathematical induction for students majoring in mathematics or computer science. Prerequisites: MATH 160 - Calculus 1.
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3.00 Credits
Presents elementary geometry from an advanced standpoint using axiomatic, intuitive, analytic, and vector approaches. This course develops the skills of problem solving and precise thinking, and also prepares the student to teach geometry in a high school curriculum. Topics include incidence in the plane and in space, congruence, similarity, and properties of circles, polygons and spheres.
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4.00 Credits
Examines three-dimensional analytic geometry and vectors, vector-valued functions, vector calculus, partial derivatives, multiple integrals, Green's theorem, Stokes' theorem and their applications. The course is designed for students majoring in mathematics and other disciplines that require calculus. The third in a three-semester calculus sequence, this course examines differentiation and integration of vector-valued functions and functions of several variables.
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3.00 Credits
Studies linear systems from applied and theoretical points of view. The contents include systems of equations, matrix properties and equations, determinants, vector spaces including: column, row, and null spaces, eigenvalues and eigenspaces, and linear transformations.
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3.00 Credits
Presents an in-depth introduction to enumeration, discrete structures, and graphs. Topics include permutations, combinations, inclusion-exclusion, generating functions, graph structures, vulnerability, circuits, and trees.
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3.00 Credits
Presents a mathematical approach to codes, ciphers and computer and network security. Course topics include security codes, coding for efficiency in computer storage, and error-correcting codes. Students will be required to complete a course project that includes a presentation.
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3.00 Credits
Presents non-Euclidean geometries and their development from postulate systems, and an introduction to modern developments in geometry. This course will develop the students' understanding of geometric concepts and expose them to the rigors of proof necessary in today's mathematics. The content of the course will also include the history and applications of modern geometry.
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3.00 Credits
Studies elementary ordinary differential equations, higher-order differential equations, some numerical methods of solution, non-homogeneous equations, and Laplace transforms. Applications of these concepts in science and engineering will be considered. The course is intended for mathematics, science, and engineering majors.
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