Biola University 2012-2013 Catalog
be counted toward the mathematics major. Credit given for either 120 or 130, not both. Credit(s): 3.
numerical solutions of ordinary differential equations. When Offered: Alternate years. Prerequisite(s): 291, CSCI 105. 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 repeated for credit. Does not count toward the Major. 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): 112, 205. 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. Credit(s): 3. MATH 333 - Operations Research Mathematical foundations of model building, optimization, linear programming models, game theoretic models. Prerequisite(s): 105, CSCI 105. 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. 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. Credit(s): 1. MATH 410 - Introduction to Real Analysis II Main theorems in integral calculus. Infinite series of numbers and functions. When Offered: Alternate years. Prerequisite(s): 305. Credit(s): 3. MATH 415 - Number Theory & the History of Mathematics The history of mathematics from Euclid through the 19th century as seen by exploring developments in number theory including congruences, Diophantine equations, divisibility, theorems of Fermat and Wilson, primitive roots, indices, quadratic reciprocity and the distribution of prime numbers. When Offered: Alternate years. Prerequisite(s): 112. Credit(s): 3. MATH 420 - Modern Geometry Projective geometry, cross ratios theorems of Menelaus, Cevas, Pappus, Desargues and Brianchon. Hyperbolic and elliptic geometries. Differential geometry, curvature, torsion. When Offered: Alternate years. Prerequisite(s): 341. Credit(s): 3. MATH 435 - Differential Equations First order differential equations and second order linear equations, series solutions, Laplace transforms, numerical methods, partial differential equations and Fourier series,
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, or consent of the instructor. Note(s): May be counted toward the mathematics minor. Credit given for either 120 or 130, not both. 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. Prerequisite(s): For business majors only. Consent. 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. Credit(s): 4. MATH 210 - Introduction to Probability & 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. Credit(s): 3. MATH 291 - Linear Algebra Topics from matrices, determinants, linear transformations and vector spaces. When Offered: Fall. Prerequisite(s): 106 or consent. 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): 112 and 205. 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): 112 and 291. 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. 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,
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