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Course Criteria
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3.00 Credits
Designed for elementary and middle school teachers, this course is a study of discrete mathematics with emphasis on its use in other areas of mathematics and in real world problems. Topics include selections from logic, proof, coding and cryptography, set theory, sequences, mathematical induction, combinatorics, graphs, and others as selected by the instructor. Prerequisite: A GE Mathematics class or consent of instructor.
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1.00 Credits
Introduction to propositional logic and methods of proof, including direct proof, indirect proof, proof by “pick-a-point,” and proof by mathematical induction. Studentsconstruct and analyze conjectures and counterexamples, and analyze and write proofs. Topics will include basic set theory, function theory, and equivalence relations, and may include examples from elementary number theory, algebra, and geometry. Does not count toward the mathematics major, but satisfies the MATH 220 prerequisite for certain upper-division mathematics courses. Cr/NC only. Prerequisite: GE math and consent of instructor.
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4.00 Credits
Calculus II includes single variable integration, numerical integration, techniques of integration, introduction to applications of integration including topics such as volumes and probability distributions, differential equations, Taylor polynomials, improper integrals, series, and introduction to multi-variable functions and their partial derivatives. Prerequisite: MATH 161 or consent of instructor. CAN MATH 20.
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2.00 Credits
First half of MATH 211. Prerequisites: MATH 161 or consent of instructor. Open only to students enrolled in programs that require MATH 211S.
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1.00 Credits
A workshop designed to be taken with MATH 211. Exploration of second-semester calculus concepts through problem solving in a group setting. Cr/NC only. Corequisite: MATH 211.
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3.00 Credits
This is a transitional course supplying background for students going from calculus to the more abstract upper-division mathematics courses. The principal aim of this course is to develop proficiency in reading and creating proofs. The following topics are included: elementary logic, methods of proof, set theory, relations, and functions. Topics that may be covered include: algebras, homomorphisms, cardinality, Boolean algebra, the integers, limits, and the real numbers. Transfer students are encouraged to take MATH 220 during their first semester here. Prerequisite: MATH 211 or equivalent, or consent of instructor.
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3.00 Credits
A course in vector and matrix algebra applied to science and computing. Topics include systems of linear equations, determinants, Euclidean and general vector spaces, eigenvalues and eigenvectors, linear transformations. Prerequisite: MATH 107 or consent of instructor. CAN MATH 26.
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4.00 Credits
A course in introduction to differential equations, introduction to vector and matrix algebra and applications of matrices in the study of systems of differential equations. Topics include first order differential equations (separable, linear, exact), vectors and matrices, linear independence, spanning, bases, linear transformations, higher order linear differential equations and linear systems of first order differential equations, eigenvalues and eigenvectors, phase planes, geometric and numerical methods. Prerequisite: MATH 211 or equivalent, or consent of instructor. Page 260 Mathematics Sonoma State University 2006-2008 Catalog
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3.00 Credits
A study of elementary probability and statistics and their uses in real-world contexts. Topics include: the binomial distribution, conditional probability, expected value, data collection and sampling, measures of location and variability, correlation and regression, estimation, and simple hypothesis testing. This course is designed for teachers and may not be substituted for MATH 165. Prerequisite: Any GE-level math course or consent of instructor.
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4.00 Credits
Calculus IV includes partial derivatives, multiple integrals, alternative coordinate systems, vector functions and their derivatives, line integrals, Green’s Theorem, Stoke’s Theorem, and Divergence Theorem. Prerequisites: MATH 241 or equivalent, or both PHYS 114 and MATH 211 or consent of instructor. CAN MATH 22.
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