Biola University 2015–16 Catalog
numbers. When Offered: Fall, odd years. Prerequisite(s): 204. Grade Mode: A. Credit(s): 3. MATH 440 - Complex Variables Complex variables, analytic functions, complex integral theorems, power series, conformal mappings. When Offered: Alternate years. Prerequisite(s): 205 or consent. Grade Mode: A. Credit(s): 3. MATH 450 - Abstract Algebra II Topics from groups, ring and fields. Galois theory. When Offered: Alternate years. Prerequisite(s): 315. Grade Mode: A. Credit(s): 3. MATH 480 - Research Seminar Special studies in mathematics. Restriction(s): Must be Senior class. Note(s): May be taken multiple times for credit. Grade Mode: A. Credit(s): 1–3.
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): Approved for General Education Math credit. 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. 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. Grade Mode: A. Credit(s): 3. MATH 415 - Number Theory and 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
Music Faculty Director:
George Boespflug, Ph.D.
Professor(s):
Boespflug, Feller, Hulling, Hung, Liesch, Robison Denham, Owen, Park, Stewart, Zeller
Associate Professor(s):
Assistant Professor(s):
Larson
Artist in Residence Pianist:
Menahem Pressler
Courses MUSC 001 - Biola Chorale
Performance of standard choral literature representing a variety of styles and periods. Note(s): Membership by audition. Approved for General Education Fine Arts credit. Fee: $125. Grade Mode: A. Credit(s): 0–1. MUSC 002 - Chamber Music Ensemble Encompasses a wide variety of chamber grouping and chamber music literature. The following ensemble combinations are commonly organized under this heading: brass quintet, woodwind quintet, flute ensemble, string quartet, percussion ensemble, piano chamber ensembles, small vocal ensembles, and worship bands. Note(s): Open to vocal, keyboard and other instrumental students by audition. Piano accompanying is graded on a credit/no-credit basis. Approved for General Education Fine Arts credit. Grade Mode: A. Credit(s): 0–1. MUSC 003 - Symphony Orchestra Performance of standard orchestral music literature encompassing a wide variety of styles and periods. Note(s): Membership by audition. Approved for General Education Fine Arts credit. Grade Mode: A. Credit(s): 0–1. MUSC 005 - Chamber Choir Performance of standard chamber choir literature representing styles ranging from the Renaissance through the 20th century. Note(s): Membership by audition. Grade Mode: A. Credit(s): 0–1. MUSC 007 - Jazz Ensemble Provides music majors and other interested students experience in jazz techniques and literature. A large volume and wide variety of literature is played, discussed and evaluated as to its prospective use at the various levels of secondary and collegiate education. At least one public performance per semester is scheduled. Note(s): Membership by audition. Approved for General Education Fine Arts credit. Grade Mode: A. Credit(s): 0–1. MUSC 008 - Symphonic Winds Performance of standard wind ensemble literature. For advanced wind and percussion players. Note(s): Membership by audition. Fee: $100. Grade Mode: A. Credit(s): 0–1. MUSC 009 - Handbell Choir Performance of a wide spectrum of handbell literature as separate ensemble and in conjunction with other instrumental and vocal ensembles. Note(s): Membership by audition. Grade Mode: A. Credit(s): 0–1.
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