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Course Criteria
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5.00 Credits
Introduction to the geometry of plane and solid shapes. Networks and applications. Constructions, congruence, and similarity. Concepts of measurement. Motion geometry and tessellations. The use of calculators and/or dynamical geometry software in discovery and problem solving. This course involves substantial use of 2- and 3-dimensional concrete materials in a cooperative learning laboratory setting. Required for entry into the CSUB Multiple Subjects Credential Program. Prerequisites: A grade of C- or better in Math 221.
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2.00 Credits
No course description available.
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5.00 Credits
Matrices and systems of linear equations; vector spaces, dimensions, linear independence; spaces associated with matrices; bases, change of basis, orthogonal bases; linear transformations, matrix representation; eigenvalues and eigenvectors, diagonalization; selected applications. Prerequisite: MATH 203. Prerequisite or co-requisite: MATH 300 or CMPS 295. (3 units lecture and 2 unit lab)
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5.00 Credits
Introduction to binary operations and algebraic structures; groups, rings, integral domains, and fields. Prerequisite: (1) MATH 300, and (2) 330 (MATH 330 may be taken concurrently). (4 units lecture and 1 unit lab)
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5.00 Credits
Single-factor ANOVA; multiple comparisons; completely randomized design; fixed and random effects; two-factor ANOVA; randomized complete block design; factorial models; fixed, random, and mixed models; nested models. Use of statistical packages. Prerequisite; MATH 140. (4 units lecture and 1 unit lab)
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5.00 Credits
Least squares; simple linear regression; correlation analysis; residual analysis; multiple regression; model selection techniques; logistic regression. Use of statistical packages. Prerequisite: MATH 140. (4 units lecture and 1 unit lab)
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5.00 Credits
Sample spaces and events; counting problems, permutations and combinations; conditional probability; independence; Bayes theorem; discrete and continuous random variables; bivariate, multivariate, marginal, and conditional distributions; functions of random variables; expected value, moments, variance, covariance, and correlation; distribution theory including Bernoulli, binomial, hypergeometric, Poisson, uniform, normal, exponential, gamma, and beta distributions; central limit theorem. Prerequisite: MATH 203. Prerequisite or co-requisite: MATH 300 or CMPS 295. (3 units lecture and 2 unit lab)
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5.00 Credits
Course designed to give the student an early introduction to the construction and use of empirical and analytic mathematical models from areas such as economics, game theory, integer programming, mathematical biology and mathematical physics (topics depend on instructor). Course evaluation will involve at least one extended project. Prerequisite: MATH 205 (4 units lecture and 1 unit lab)
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5.00 Credits
Elaboration of concepts in Euclidean geometry and 19th- and 20th-century expansions of Euclid's work. Topics include concurrency of lines in a triangle, collinearity of some points in a triangle, symmetric points in a triangle, some properties of triangles and quadrilaterals, equicircles and the nine-point circle. Additional topics may be included. Ability to write formal synthetic and analytic proofs is stressed. Dynamical Geometry software is used for exploration and discovery. This course provides a survey of material needed to prepare students to teach high school geometry courses. Prerequisites: (1) MATH 300, and (2) 330 (MATH 330 may be taken concurrently). (4 units lecture and 1 unit lab)
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5.00 Credits
Development of a rigorous foundation for analysis; axioms for the real numbers; sequences and series; continuity; introduction to differentiability and integration. Prerequisites: (1) MATH 203, and (2) MATH 300. (4 units lecture and 1 unit lab)
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