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Course Criteria
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3.00 Credits
3 FS MATH 110, MATH 111. An intuitive investigation into mathematics to find recurrent themes. Problem-solving techniques and a search for patterns will be used throughout a discussion of topics such as modular arithmetic, complex numbers, mathematical sequences and their applications. Not acceptable for a mathematics major or minor.
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3.00 Credits
3 FS MATH 110, MATH 111. An intuitive approach to problem-solving in coordinate geometry, motion geometry, and space geometry. Concrete models will be used for analyzing abstract ideas. Not acceptable for a mathematics major or minor.
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3.00 Credits
4 SP MATH 121. Basic concepts of probability and statistics with emphasis on models used in science and technology. Probability models for statistical estimation and hypothesis testing. Confidence limits. One- and two-sample inference, simple regression, one- and two-way analysis of variance. Credit cannot be received for both MATH 350 and MATH 314.
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3.00 Credits
3 FA Completion of ELM requirement. Interpretation of biomedical data, elementary probability and its application to the biological sciences, and statistical inference in the biomedical fields. This course may not be counted toward either a mathematics major or upper-division units of a minor. Intended for students in the biological sciences and health-related fields.
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3.00 Credits
3 FA MATH 120. A formal introduction to discrete structures which are relevant to mathematics and computer science. Structures studied include sets, cosets, graphs, trees, groups, vector spaces, fields, lattices, and Boolean algebras. Properties of these structures will be developed using methods such as logical deduction, induction, recursion, and combinatorial computing. Applications include program structures, data structures, network optimization, decision trees, tree searches, binary codes, automata, and the algebra of switching.
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3.00 Credits
3 FS MATH 121. A survey of elementary principles of logic, emphasizing the nature of proof. Standard methods of proof will be illustrated with examples from various branches of mathematics, including set theory and the theory of functions and relations. Other possible sources of examples include the calculus, number theory, theory of equations, topology of the real line.
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3.00 Credits
3 SP MATH 220 and at least one upper-division mathematics course. MATH 330 is recommended. Study of the historical development of mathematics, with particular emphasis on the relationship between mathematics and society.
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3.00 Credits
3 FS MATH 121. Matrices, determinants, cartesian n-space (basis and dimension of a subspace, rank, change of basis), linear transformations, eigenvalues. Numerical problems will be emphasized.
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3.00 Credits
3 FA MATH 121, MATH 330. Basic properties of the integers, division algorithm, fundamental theorem of arithmetic, number-theoretic functions, Diophantine equations, congruences, quadratic residues, continued fractions.
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3.00 Credits
3 FA MATH 121. This course is designed to supplement the mathematical background of the candidate for the single subject credential in mathematics. The mathematical topics will be discussed from the student's and the teacher's points of view to aid the candidate in making the transition to secondary school mathematics. Topics include mathematical problem-solving, conceptual ideas using algebra, geometry, and functions, incorporating technology into the mathematics curriculum, and finite systems.
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