COURSE DESCRIPTIONS
■ :t•ill:I 4:tt i [4» Chai r: Edward Thurber, Ph.D. FACULTY Professor:Thurber Assoc iate Professors Stangl, Woo OBJECTIVES The Department of Mathemat ics at Biola Uni l'ersity provides several areas or concentration in addition to a basic co re cur ri cu lum . The m1den t is allowed considerable nexibili ty in the major, depending upon vocat ional or professio nal goals. Our student labs are equipped with numerous Pent ium and Apple PowerPC workstations. We also have a Computer Science Alcove equipped with the latest Pentium, Pen tium Pro and Pentium II platforms nm ning either Windows NT or Linux. The department endeavors to pro- 1~de (I ) a strong fo undational core cur rirnlum for the student desiring to pur sue graduate smdy in both the pure and applied fi elds of mathematical science, (2) course work and training to prepare students for app lied mathematical sc i ences (s tati stics , computer sc ienc e, operations research and aclllaria l sci ence) and the fi eld of teaching, (3) sup port courses for the curriculum of other majors (biological science, physical sc i ence, engineer ing, business and nurs ing) and (4) courses bas ic to gaining some knowledge of mathematics as part of a liberal arts education. The depart ment provides an attrac tive and thor ough offering in mathematics as part of God 's creation and there is a concerted effon to integrate faith and learn ing. DEGREE PROGRAM A Baawr ofScience degree in Mathemat ical Scienas is offered upon completion of the university baccalaureate and the math major in one of the emphases. Those who plan to pursue graduate studies should take at least two of410, 450 or 480 regard less of thearea of concentration. MAJORS Applied Math (47 units) Students wh o are int ereste d in preparing for careers in business or industry should choose this emphasis. Courses introduce a variety of areas of applied mathematics. This emphasis must complete : Math 105, 106, 112, 205, 291, 305, 315, 321, 331 , 332, 333, two units of 370, 435 or 440 , one course (3 units) at the 300 or 400 level in Math, and Computer Science I05.
Computer Science (53 units)
ized int o phrases, clauses, and se n tences. Prerequi si te: 300. 437 Introduction to Literacy (3) An O\'e rview of literacy in neoliterate societ ies, including motivation, local authorshi p, orthography dtsign, read ing me thodo logy, strategies for liter acy programs and the relationship of literacy to social context. 446 Introduction to Sociolinguistics (3) Over,iew of the relationsh ip between language and society. Topics cove red include language and culture, lan guage and social change, ethnicity, lan guage conta ct, language polic y, ethnography of communica tion, and social aspec ts of conversation. Prereq uisites: 300, English 35 1, lntercultural Studies 310 or equivalenL 452 Field Methods in Linguistics (3) Practical aspects of linguistics fi eld work with application to a non-Indo European language to deve lop ski ll in data elicitation and management, lan guage learn ing, and the analysis of semantic, grammatical, and phonolog ica l st ructures of human languages. Prerequisites: INAL 300, 30 I , 403, 405, or equivalents. 453 Introduction to Bible Translation (3) An introduction to the principles and problems of cross-language and cross cultural communication with spec ial emphasis on translating the Bible into indigenous languages. 454 Field Methods in Second Language & Culture Learning (3) Field experience in independent lan guage learning and rnltural investiga tion, using student-developed language texts and ethnographic interviewi ng. 480 Directed Research (1 -3) Independent study in areas. Each stu dent assigned to a faculty member for guidiance and evaluation . Prerequi sites: junior and senior standing and consent of instructor.
quadrati c equations and inequa liti es, fac toring, fr ac tions , exponen ts and rad ica ls. Prerequi si te: one year of high school algebra. Not counted for ge nera l education requirem ent or toward graduation. Fall. 101 Precalculus Mathematics (3) Sets, the real number system, relat ions, functions, graphs, algebraic processes, inequalit ies, tri gonometric func ti ons , exponential and logarithmic functions, introduction to sequences. Prerequi site: three years of high sc hool mathe matics or consent. Cannot be counted toward the major. Spri ng. 102 Topics in Mathematics (1-2) Topics in mathemati cs se lected from general educa ti on math emati cs classes. Arranged in conjunction with the individual needs of the student. Prerequisite: consent. 103 Calculus for Management Sciences (3) Fundamental principles of differential and integral ca lculus. App li ca tions chosen mainly from the management sc iences. Prerequisite: pass ing profi ciency exam administered by Mathe mat ics Department or receiving a "C" or better grade in Math 90 the prior
Th is emphasis allows a mathematics major the opport unity to fows 011 the more mathematical aspects of computer science. This emph as is must complete: Math 105, 106, 112, 205, 291, 305, 315, at least two of 321, 33 1, 332, 333, two units of 370; Comput er Sc ience 105, 106, 202 , 400; and three co ur ses (9 units) at the 300 or 400 level in mat h or computer science. Mathematics (47 units) Thi s emphasis allows the student Oexibil it)' in th e se lect ion of upper division courses. Th e student plan ning to pursue mat hemati cs in gradu ate sc hoo l would find this part irnlarly appropriate. A fac ulty advisor will aid the studen t in making these choices. This emphasis must complete: Math 105, 106, 11 2,205,291, 305,315, two units of 370; Computer Sc ience 105; and six courses ( 18 uni ts) in mat h at the 300 or 400 level. Mathematics Secondary Teaching (59 units) Students who wish to prepare to teach mathematics at the high-school leve l should se lect thi s emph as is. These students work toward a prelimi nary sin gle-subj ec t crede ntial and should consult the Education Depart ment. This emphas is must complete: Math 105, 106, 112, 205, 291, 305 , 315, 33 1, 332, 34 1, two units of 370, 415, two courses (6 units) at the 300 or 400 level ; Computer Sc ience 105, and Education 300, 330, 425, and 435. All concentrations must include 24 upper division units. Note: The general education require ment for a foreign languagefor thosefol lowing a mathematical sciences majur may be met by two years of high school language or the first four units of a colkge language. The science/ mathematics requirement may be met by three units of science. MINOR A Mathemati cal Sciences Minor is offered with the completion of 27 units, six of which must be upper division . Students must consult with a depart ment adviser. The basic curriwlum for a minor is 105, 106, 112, 205, 291, two courses (6 units) at the 300 or 400 level and Computer Science 105. COURSES 90 Intermediate Algebra (3) Review of elementary algebra, graphs and polynomial s. Study of linear and
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year. Fall , spring. 105 Calculus I (4)
Limits, differentiation and integration of ration al and trigonometric fun c tions, wi th applications. Introduction to use of Mathematica. Prerequisite: four years of high school mathemati cs
or conse nt. Fall. 106 Calculus II (4)
Diffe rentiation and integration of loga rithmic, exponential and inverse trigono metric functions; various methods of integration; infinite sequences and series; parametric equations, polar coordinates. Prerequisite: 105. Spring. 111 Fundamentals of Mathematics for Elementary Teachers (3) Set theory, rel ations an d functions, number systems and algebraic struc tures, numeration systems, elementary number theory, informal geometry, use of manipulatives. For elementary edu cation majors only. Cannot be counted toward the mathematics major. Fall. 112 Discrete Structures (3) Elementary properties of sets, discrete probability and combinatorial analysis, graphs, relations, orderings, fun ctions, simple algebraic structures, binary arith meti c and other bases, meth ods of proof. Prerequisite: three years of high school mathematics or consent. Spring.
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