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MATH 390: Mathematics Colloquium
1.00 Credits
California State University-San Marcos
Guest lecturers present seminars on mathematical topics, e.g., recent advances in mathematics research, interesting applications of mathematics, or fun and challenging math problems. Students must attend each seminar, prepare a journal summarizing the content of each presentation, and write a follow up paper on one of the topics that they found particularly interesting. May be repeated for credit for a total of three (3) units. Graded Credit/No Credit. Enrollment Requirement: MATH 162 with a grade of C (2.0) or better.
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MATH 390 - Mathematics Colloquium
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MATH 401: Number Concepts for Teachers
3.00 Credits
California State University-San Marcos
Designed to reinforce mathematical concepts for those teaching in middle school. Properties, relations, and extensions of the natural numbers, integers, rational, irrational, real, and complex numbers. Subjects include number sequences, patterns, functional relationships, some number theory, meaning of infinity, applications, historical/cultural perspectives. Will use appropriate technology and physical materials. Credit may not be counted toward the mathematics major. Enrollment Requirement: MATH 210 and 212 with a grade of C (2.0) or better.
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MATH 401 - Number Concepts for Teachers
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MATH 403: Geometry for Teachers
3.00 Credits
California State University-San Marcos
Designed to reinforce mathematical concepts for those teaching in middle school. Geometry and measurement. Properties and relationships of shape, size, and symmetry in two- and three-dimensional space: points, lines, planes, curves, triangles, convex figures, parallelism, congruence, similarity, symmetry, rotations, reflections, translations, perimeter, area, volume. Historical development of Euclidean and non-Euclidean geometries. Will use the appropriate technology and physical materials. Combines theoretical ideas with hands-on experience using appropriate computer software packages. Credit may not be counted toward the mathematics major. May not be taken for credit by students who have received credit for EDUC E596S. Enrollment Requirement: MATH 210 and 212 with a grade of C (2.0) or better.
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MATH 403 - Geometry for Teachers
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MATH 405: Statistics and Probability for Teachers
3.00 Credits
California State University-San Marcos
Designed to reinforce mathematical concepts for those teaching in middle school. Data collection, random experiments, data organization and interpretation, formulation of convincing arguments; inferences and informed decisions based on statistical methods; experimental probabilities; counting techniques; analysis of correct and incorrect uses of statistics. Combines theoretical ideas with hands-on experience using appropriate computer software packages. Credit may not be counted toward the mathematics major. Enrollment Requirement: MATH 210 and 212 with a grade of C (2.0) or better.
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MATH 405 - Statistics and Probability for Teachers
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MATH 407: Problem Solving for Teachers
3.00 Credits
California State University-San Marcos
Designed to reinforce mathematical concepts for those teaching in middle school. Problem strategies and approaches, in the context of problems from various fields in mathematics. Four step method; noticing patterns; reformulating the problem; decomposing and recombining; examine related problems; logic, valid arguments, and proof techniques; induction. Historical/cultural perspectives. Credit may not be counted toward the mathematics major. Enrollment Requirement: MATH 210 and 212 with a grade of C (2.0) or better.
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MATH 407 - Problem Solving for Teachers
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MATH 409: Topics in Mathematics for Teachers
1.00 - 3.00 Credits
California State University-San Marcos
Designed to reinforce mathematical concepts for those teaching in elementary, middle, or high school. May be repeated for credit as topics change for a total of six (6) units. Credit may not be counted toward the mathematics major. Enrollment Requirement: MATH 210 and 212 with a grade of C (2.0) or better.
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MATH 409 - Topics in Mathematics for Teachers
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MATH 410: Modern Geometry
3.00 Credits
California State University-San Marcos
Critical review of the foundations and basic structure of plane and solid Euclidean geometry, non-Euclidean geometries, incidence and affine geometries; convexity and applications. Prerequisite: MATH 350 or 370 with a grade of C (2.0) or better.
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MATH 410 - Modern Geometry
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MATH 422: Introduction to Number Theory
3.00 Credits
California State University-San Marcos
Divisibility, Euclidean algorithm, unique factorization, congruences, and quadratic reciprocity. May also cover some of the following: included primitive roots and indices, continued fractions, sum of squares, introduction to Diophantine equations, prime numbers, pseudo-primes, the prime number theorem, and factorization and primalitytesting algorithms. May not be taken for credit by students who have received credit for MATH 372. Prerequisite: MATH 378 with a grade of C (2.0) or better.
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MATH 422 - Introduction to Number Theory
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MATH 430: Foundations of Analysis
3.00 Credits
California State University-San Marcos
A classical treatment of the basic concepts of calculus of one variable: the real number system, limits, continuity, differentiability, the Riemann integral, sequences and series of numbers and functions. May not be taken for credit by students who have received credit for MATH 360. Prerequisite: MATH 378 with a grade of C (2.0) or better.
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MATH 430 - Foundations of Analysis
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MATH 440: Introduction to Mathematical Probability and Statistics
4.00 Credits
California State University-San Marcos
Basic concepts of probability: axiomatic formulation, combinatorics, conditional probability, independence, standard discrete and continuous random variables, expectation, variance, joint distributions, limit theorems. Statistical inference: tests of significance, point estimation methods, confidences intervals, simple linear regression. Combines theoretical ideas with hands-on experience using appropriate computer software packages. Enrollment Requirement: MATH 260 with a grade of C (2.0) or better.
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MATH 440 - Introduction to Mathematical Probability and Statistics
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