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Course Criteria
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3.00 Credits
A study of divisibility, congruence, quadratic reciprocity, arithmetic functions, diophantine equations, and introductory elements of algebraic number theory. The course will include the application of number theory to real-world problems. (Prerequisite: MATH 2030 or consent of the instructor)
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3.00 Credits
(3, Spring) A study of probability, random variables and their distributions, estimation, statistical inference, regression and correlation, and the analysis of variance. The concepts in this course will be applied to the experimental process. (Prerequisite: MATH 2530)
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3.00 Credits
A study of the history of the development of mathematical thought. This course will consist of a survey of topics such as numeration systems, number theory, algebra, calculus and geometry. Students will research, prepare and present papers investigating the lives of historical mathematical figures, historical mathematical events, and mathematical topics, as well as the role of the mathematician's faith. There will be a discussion of the multicultural nature of mathematics history. (Prerequisites: MATH 2430 and a passing score on the English Proficiency Exam, or consent of instructor. It is recommended that student also have earned credit in MATH 2030.)
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3.00 Credits
A study of linear ordinary differential equations, their solutions and applications. Additional topics may include constant coefficient equations, power series solutions, Laplace transformations, numerical methods, and boundary value problems. (Prerequisite: MATH 2530)
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2.00 - 3.00 Credits
Provides students with opportunities to conduct research using scholarly journals, summarize articles, communicate quantitatively with their peers, and develop plans for senior projects. Taken together with MATH 4120, this course will integrate all aspects of the student's work and will involve a summative evaluation of the student's education. (Prerequisite: Consent of instructor)
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3.00 Credits
A study of groups, rings, fields, homomorphisms, polynomial theory, quotient structures, and isomorphism theorems. (Prerequisite: MATH 2030 and MATH 2730, or consent of instructor)
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2.00 - 3.00 Credits
Provides students with opportunities to apply what they have learned in previous mathematics courses to new topics of interest. Taken together with MATH 4020, this course will integrate all aspects of the student's work and will involve a summative evaluation of the student's education. (Prerequisite: MATH 4020)
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2.00 - 3.00 Credits
Provides students with opportunities to visit high school teachers, community college instructors, engineering consultants, and other professionals who use mathematics. (Prerequisite: Consent of instructor)
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3.00 Credits
A rigorous study of calculus over the real numbers. The concepts of continuity, sequences, differentiation, and integration are defined in more general terms, and new topics such as compactness, sequences of functions, density and completeness are introduced. (Prerequisites: MATH 2030 and MATH 2630, or consent of instructor)
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3.00 Credits
A study of complex numbers, analytic functions and the Cauchy-Riemann equations, complex integration, Cauchy's theorem, Cauchy's integral formula, power and Laurent series, residues and poles, conformal maps, and applications. (Prerequisite: MATH 2030 and MATH 2630, or consent of instructor.)
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