BiolaCatalog2014-2015NA

Mathematics

MATH 102 - Topics in Mathematics Topics in mathematics selected from general education mathematics classes. Arranged in conjunction with the individual needs of the student. Grade Mode: A. Credit(s): 1–2. MATH 103 - Calculus for Management Sciences Fundamental principles of differential and integral calculus. Applications chosen mainly from the management sciences. When Offered: Fall, Spring. Prerequisite(s): Passing proficiency exam administered by Mathematics Department. Grade Mode: A. Credit(s): 3. MATH 105 - Calculus I Limits, differentiation and integration of rational and trigonometric functions, with applications. When Offered: Fall. Prerequisite(s): Four years of high school mathematics. Grade Mode: A. Credit(s): 4. MATH 106 - Calculus II Differentiation and integration of logarithmic, exponential and inverse trigonometric functions; various methods of integration; infinite sequences and series; parametric equations, polar coordinates. When Offered: Spring. Prerequisite(s): 105. Grade Mode: A. Credit(s): 4. MATH 112 - Discrete Structures Elementary properties of sets, discrete probability and combinatorial analysis, graphs, relations, orderings, functions, simple algebraic structures, binary arithmetic and other bases, methods of proof. When Offered: Spring. Prerequisite(s): Three years of high school mathematics. Grade Mode: A. Credit(s): 3. MATH 117 - Fundamentals of Mathematics for Elementary Teachers I Problem solving, set theory, whole numbers, number theory, integers, rational numbers as fractions, decimals, percents, and real numbers. Use of manipulatives. Restriction(s): Must be Elementary Education (LSEE) major. Note(s): Cannot be counted toward the Mathematics major. Grade Mode: A. Credit(s): 3. MATH 118 - Fundamentals of Mathematics for Elementary Teachers II Introductory geometry, congruence, symmetry, measurement, algebra and coordinate geometry, statistics, probability. Use of manipulatives. Restriction(s): Must be Elementary Education (LSEE) major. Note(s): Cannot be counted toward the Mathematics major. Grade Mode: A. Credit(s): 3. MATH 120 - The Nature of Mathematics Selected topics in mathematics with consideration of historical development and related philosophical issues. Designed to meet the general education requirement in mathematics for liberal arts students. When Offered: Fall, spring. Note(s): Cannot be counted toward the Mathematics major. Credit given for either 120 or 130, not both. Grade Mode: A. Credit(s): 3. MATH 130 - Honors Nature of Mathematics A historical, thematic and integrative study of the nature of mathematics using selected topics. Readings in primary source material. Mathematical content includes number theory, geometries and concepts of calculus. Prerequisite(s): 101 or equivalent. Note(s): May be counted toward the Mathematics minor. Credit given for either 120 or 130, not both. Grade Mode: A. Credit(s): 3. MATH 190 - Business Statistics Collection and presentation of business data, central tendency and dispersion measures for business analysis, sampling and inference for confidence intervals and hypothesis testing, business forecasting with simple and multiple regression, index numbers. When Offered: Fall, Spring. Restriction(s): Must be Business Administration (BUSN) major. Grade Mode: A. Credit(s): 3. MATH 204 - Introduction to Abstract Math Set theory, Cartesian products, equivalence relations, images and inverse images, induction, recursions, inequalities, and field axioms. Emphasis on how to discover, write and present proofs. When Offered: Spring. Prerequisite(s): 105. Grade Mode: A. Credit(s): 3. MATH 205 - Calculus III Functions of two and three variables, partial differentiation, multiple integration, curves and surfaces in three dimensional space. When Offered: Fall. Prerequisite(s): 106. Grade Mode: A. Credit(s): 4. MATH 210 - Introduction to Probability and Statistics Nature of statistical methods, description of sample data, fundamental concepts of probability, probability distributions, sampling, estimation, correlation and regression, application of same. When Offered: Fall, Spring. Grade Mode: A. Credit(s): 3.

MATH 291 - Linear Algebra Topics from matrices, determinants, linear transformations and vector spaces. When Offered: Fall. Prerequisite(s): 106 or consent. Grade Mode: A. Credit(s): 3. MATH 305 - Introduction to Real Analysis I The real number system, elementary topological concepts in Cartesian spaces, convergence, continuity, derivatives and integrals. When Offered: Alternate years. Prerequisite(s): 204 and 205. Grade Mode: A. Credit(s): 3. MATH 315 - Abstract Algebra I Introduction to abstract algebra with topics from elementary ring, field and group theories. Emphasis on ring of integers, congruences, polynomial domains, permutation groups. When Offered: Alternate years. Prerequisite(s): 204 and 291. Grade Mode: A. Credit(s): 3. MATH 318 - Biostatistics Prepares the student for biostatistical application essential to practice in evidence-based professions. Content includes: descriptive statistics; probability theory and rules; discrete and continuous probability distributions; sampling distributions; confidence intervals; hypothesis testing; experimental design; ANOVA; linear and multiple regression; contingency table analysis; non-parametrics; survival analysis; discussion of the use of statistics in journal articles. Note(s): Credit given for only one of 210 and 318. Grade Mode: A. Credit(s): 3. MATH 321 - Numerical Analysis Functions of one variable, approximate numerical solutions of non-linear equations and systems of linear equations, interpolation theory, numerical differentiation and integration, numerical solutions of ordinary differential equations. When Offered: Alternate years. Prerequisite(s): 291, CSCI 105. Grade Mode: A. Credit(s): 3. MATH 326 - Mathematics CSET Preparation Review of the subject matter of the Subtests of the CSET Mathematics exam. Test-taking strategies. Note(s): May be taken multiple times for credit. Does not count toward the major. Grade Mode: A. Credit(s): 1. MATH 331 - Probability Samples spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes’ Theorem, one and higher dimensional random variables, special and multivariate distributions. When Offered: Alternate years. Prerequisite(s): 204 and 205. Grade Mode: A. Credit(s): 3. MATH 332 - Statistics Estimation: consistency, unbiasedness, maximum likelihood, confidence intervals. Hypothesis-testing; type I and II errors, likelihood ratio tests, test for means and variances; regression and correlation, Chi-square tests, decision theory, nonparametric statistics; application of statistical methods. When Offered: Alternate years. Prerequisite(s): 331. Grade Mode: A. Credit(s): 3. MATH 333 - Operations Research Mathematical foundations of model building, optimization, linear programming models, game theoretic models. Prerequisite(s): 105, CSCI 105. Grade Mode: A. Credit(s): 3. MATH 335 - Ordinary Differential Equations First order differential equations, second order linear differential equations, power series solutions, Laplace transforms, systems of first order linear equations. When Offered: Spring. Prerequisite(s): MATH 205; and MATH 291 or PHSC 311. Grade Mode: A. Credit(s): 3. MATH 336 - Mathematical Methods in Physics This course covers a variety of advanced mathematical techniques essential to the solution of problems in the physical sciences and engineering. Topics include tensors, complex variables, contour integrals, solutions of partial differential equations, boundary-value problems, special functions (such as Bessel functions and Legendre functions), and Fourier series and Fourier and Laplace transforms. Cross-listed: PHSC 336. Prerequisite(s): MATH 335. Grade Mode: A. Credit(s): 3. MATH 341 - Classical Geometry Theorems of Pythagoras, incenters, circumcenters, circles, Euler line, Fermat center. Compass constructions. Solid geometry. Spherical geometry of arcs. Coordinate geometry. When Offered: Alternate years. Grade Mode: A. Credit(s): 3. MATH 370 - Readings in Mathematics Reading of material in a special topic. Colloquium participation. Writing and oral presentation of a research paper. Note(s): May be repeated for credit. Grade Mode: A. Credit(s): 1.

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