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Course Criteria
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4.00 Credits
(4 Units) Covers California Subject Matter Requirements in linear and abstract algebra, including algebra of vectors and matrices and building blocks in abstract algebra (emphasizing groups and extending to rings and fields). Prerequisites: MATH 1070 with a grade of C or better.
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1.00 - 5.00 Credits
(1-5 Units) Development of a selected branch of mathematics. (Topics to be specified in the class schedule) Topics may vary each term.
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3.00 Credits
(3 Units) Mathematical connections across the curriculum. Real numbers and geometry. Number patterns and geometric patterns. Geometry and algebra. Transformational geometry. Geometric probability and statistics. Recommended for students seeking a multiple subject teaching credential. Not applicable to the major or minor in mathematics. Satisfies G.E. area F1. Prerequisites: MATH 1030 and 1040 with a grade of C- or better, junior standing, or consent of instructor.
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3.00 Credits
(3 Units) Mathematical connections across the disciplines. Mathematical topics selected from various disciplines such as art, music, philosophy, politics, and the natural sciences. Not applicable to the requirements for the majors or minor in mathematics. Designed specifically for future teachers. (LIBS Integrative: Scientific/ Mathematical Inquiry) Prerequisites: Completion of all lower division math and science requirements in the Liberal Studies major and upper division G.E. F1, with grades of C- or better.
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3.00 Credits
(3 Units) Logic of proofs, Hilbert's Axiom System. Incidence, separation, congruence, and continuity. Geometry and real numbers. Neutral Geometry, Non-Euclidean Geometry. Transformations. Prerequisites: MATH 1420 with a grade of C- or better.
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3.00 Credits
(3 Units) Origin and development of mathematical ideas from early civilization to the present time. Recommended for prospective and in-service teachers. Prerequisites: MATH 1420 with a grade of C- or better.
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3.00 Credits
(3 Units) Topics selected from linear systems, existence and uniqueness theorems, singular points, stability theory, transform analysis, and partial differential equations. Prerequisites: MATH 2460 and 2530 with grades of C- or better, or consent of instructor.
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3.00 Credits
(3 Units) Roles of mathematical models in society. Use of mathematical models to solve real world problems. Models in behavioral, life, management, and social sciences will be emphasized. Not applicable to the requirements for the majors or minor in mathematics. Satisfies G.E. area F1. Prerequisites: MATH 1040, 1500, 1600, 1610, or 1620 with a grade of C- or better.
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3.00 Credits
(3 Units) Basic set theory and logic (especially as they apply to writing and understanding mathematical proofs), relations, functions, the Well-Ordering Theorem, and mathematical induction. (Formerly MATH 3420) Prerequisites: MATH 1420 with a grade of "C-" or better.
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3.00 Credits
(3 Units) Study of the properties of integers including mathematical induction, well ordering principle, Euclid's algorithm, divisibility properties, prime numbers, congruence of numbers, calculations, conjectures, selected advanced topics, and selected applications. (Formerly MATH 4500) Prerequisites: MATH 1420 with a grade of C- or better.
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