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Course Criteria
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3.00 Credits
3 credits Systems of equations, independence and dimension, linear transfor mations, matrix theory, determinants, representation of linear transforma tions, linear operators, and vector spaces are studied. Prerequisite: C- or better in either MTH 1017A or MTH 1020A or MTH 1022A or a challenge exam. Offered: 2008 - 2010.
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3.00 Credits
3 credits The historical development of Mathematics, including the develop ment of numerical systems and contributions of the ancient Babylonian, Egyptian, Greek, Hindu, and Arabic cultures. The development of mathe matics in Europe is traced up to the twentieth century. Prerequisite: C- or better in MTH 1020A or MTH 1022A or a challenge exam. Offered: 2008 - 2010.
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3.00 Credits
3 credits Topics from the theory of first and second order differential equations, separable equations, exact equations, substitutions, geometric methods, Laplace transforms, power series methods, and numerical methods. Prerequisite: C- or better in MTH 2023A or a challenge exam. Offered: 2008 - 2010.
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3.00 Credits
3 credits Informal survey of the arithmetic of whole numbers; well-ordering; Euclid's algorithm; discussion of arithmetic processes; prime numbers, congruences, and Diophantine equations. Prerequisite: C- or better in either MTH 1017A or MTH 1020A or MTH 1022A or a challenge exam. Offered: 2008 - 2010.
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3.00 Credits
3 credits Mathematical development of probability theory and statistical mod els, including frequency distributions; discrete and continuous distribu tions; mathematical expectation, mean, variance, interval, and point esti mation; correlation; testing of hypotheses; small-sample methods; and the chi square test. Prerequisites: C- or better in MTH 1017A and MTH 1022A or a challenge exam. Offered: 2008 - 2010.
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3.00 Credits
3 credits A course in numerical computation methods. This course will explore the mathematical background of various computer programming tech niques. It will cover numerical methods for solution of various types of mathematical problems. It will study error analysis, solutions of equations and systems of equations, interpretation techniques, series representa tions, computer integration, and computer solution of differential equa tions. Prerequisites: CSC 1009N or CSC 1012N; C- or better in MTH 1017A and MTH 1022A or a challenge exam. Offered: 2008 - 2010.
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3.00 Credits
3 credits The course includes the study of higher algebraic structures such as groups, ring, ideals, integral domains, fields, field extensions, and com pass and ruler constructions. Prerequisite: MTH 2103A. Offered: 2008 - 2010.
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3.00 Credits
3 credits Topological properties of real numbers; limits; functions; continuity; sequences and series; Taylor's theorem; mean value theorems; functions of several variables; multiple integrals, improper integrals; infinite series of functions, uniform convergence; and partial derivatives. Prerequisites: C- or better in MTH 1017A and MTH 2023A or a challenge exam. Offered: 2008 - 2010.
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3.00 Credits
3 credits This course is a continuation of MTH 3140A. It will cover numerical methods for approximating the solution of various types of mathematical problems that cannot be solved with analytical techniques learned in other classes which give the exact answer. This semester will feature methods for solving initial-value problems, linear systems, matrix algebra, non-linear systems of equations, boundary-value problems and partial differential equations. Prerequisites: A grade of C- or better in MTH 3140A, MTH 2103A and MTH 2121A. Offered: 2008 - 2010.
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3.00 Credits
3 credits Topics in Euclidean geometry are studied from an advanced stand point. The approach will be axiomatic, and proofs will be required. Elements of non-Euclidean geometries will be explored. Prerequisite: C- or better in either MTH 1017A or MTH 1022A or a challenge exam. Offered: 2008 - 2010.
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