Biola_Catalog_19930101NA

COURSE DESCRIPTIONS

Mathematics

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Computer Science (54 units)

quadratic equations and inequaliti es, factor ing, fractions, exponents and rad icals. Prerequi site: one year of high school algebra. Not counted fo r general educat ion requirement or toward graduation. Fall. 101 Precalculus Mathematics (3) Sets, the real number system, relation s, functions, graphs, algebraic processes, inequalities, trigonometric functions , matrices and determinants, compl ex numbers, exponential and logarithmic functions, introduction to sequences. Prerequisite: three years of high school mathematics or consent. Canno t be counted toward the major. Spring. 102 Topics in Mathematics (1 -2) Selected topics in mathematics. Arrange d in co njun cti on with the individual needs of the student. Pre- req uisite: consent. 103 Calculus for Management Sciences (3) Fundamental principles of differential and integral ca lcul us. Appli cations chosen mainly from the management sciences. Prerequisite: passing profi- ciency exam administered by Mathe- matics Department or rece i11ng a "C" or better grade in math I00 the prior yea r. Fall , spring. 105 Analytic Geometry and Calculus I (4) An introduction to analytic geometry, differe nti at ion and integration of polynomial func ti ons, with applica- tions. Prerequisite: fo ur years of high school mathematics or consent. Fall. 106 Analytic Geometry and Calculus II (4) Differenti ation and in teg rati on of uigonometric; logari thmic and exponen- tial functions;variousmethods of integra- tion, sequences and series; and vectors in the plane. Prerequisite: I05. Spring. 111 Fundamentals of Mathematics for Elementary Teachers (3) Set theory, relati ons and fun cti ons, number systems and algebraic st ru c- tures, nume1-a tion systems, elemental)' number them)', infonnal geomeU)', use of manipulatives. For elementary edu- cation majors only. Cannot be counted toward the mathemati cs major. Fall. 112 Discrete Structures (3) Elementary properties of sets, discrete probability and combi nato rial analy- sis, graph s, relations, orderings, fu nc- tions, simpl e alge brai c stru ct ur es, bin ary ar ithmeti c and other bases, methods of proof. Prerequi site: three yea rs of high school mathematics or conse nt. Spring.

Chair: Walter Stangl, Ph. D. FACULTY Professor:Thurber Associate Professors: Stangl, Woo OBJECTIVES The Department of Mathematics at Bi ola University provides seve ral areas of concentration in addi tion to a basic core curriculum. The swdent is allowed considerable nexibili ty in the major, depending upon voca tional or professional goals. Resources avail- able to the department include two Digital Equipmelll Corporation VAX 3100 workstations , three Hewlett Packard 9000 workstations, and a Digi- ta l Equ ipment Corpora ti on Decsta- tion 2100 all networked toge ther. We also have I BM, PC PC-AT and Macin- tosh microcomputers. Operating sys- tems include VMS, UNIXand DOS. The department endeavors to pro- 1 de (I) a strong fo undational core cur- riculum for the student desiring to pur- sue graduate su1dyin both the pure and applied fields of mathematical science, (2) course work and train ing to prepare students for applied mathematical sc i- ences (statistics, compu ter science, operations research and ac tuarial sc i- ence) and the fi eld of teaching, (3) sup- port courses for the curriculum of other majors (biological science, physical sci- ence, engineering, business and nurs- ing) and (4) courses basic to gaining some knowledge of mathematics as pan of a liberal ans education. The depan- men l provides an attractive and thor- ough offering in mathematics as part of God's creation and th ere is a concerted effort to illlegrate faith and learning. DEGREE PROGRAM A &ffhelor of Science degree in Mathemat- iml Sciences is offered upon completion of the university baccalaureate and the math rmtjor in one of the emphases. TI1ose who plan to pursue graduate studies should take at least two of410, 450 or 480 regard- less of tJ1e ,u-ea ofconcen u-ation . MAJORS Applied Math (48 units) Studen ts who are interes ted in preparing for careers in business or indus- try should choose this emphasis. Courses introduce a variety of areas of applied mathematics. This emphasis must com- plete: MatJ1 105, 106, I12, 131, 205, 291 , 302, 305, 315, 321, 331, 332, 333, 435 or 440, and Computer Science 105.

458 Peasant and Tribal Cultures (3) Ana lys is of the cul tu ral inst itution s and va lues in tribal, peasant and newly eme rging economi es, with spec ial consideration as to their openness or resistance to change . 460 Urban Practicum (3) A prog ram of crosscu ltural intern- shi ps in the urban metropoli tan area of Los Ange les. By permission of instructor only. 461 Sex Roles in Society (3) The dyna mi cs of male and fe male ro les in Wes tern, non -Western and bibli cal cultures. Focus on respons i- bi liti es, ob li gatio ns, expectat ions, leade rship and interrelati onsh ips as they relate to the society as a whole. 470 Seminar/lntercultural Studies: Selected Topics and Issues in Missions (1-3) Women in !slam: The th eo retical and practical concerns of Arab women. \Vomen in Missions: The theoreti- cal and prac ti cal concerns of women today in the world of mi ssions. Shor/ Term Mi ssions Preparation: Orientation for short term mi ssions program. 473-474 Practicum Seminar (1-3 , 1-3) 475 Multicultural Education (3) Focuses on the need to understand the techn iques of teac hing the multi- cultural populations which our urban schools serve. 480 Directed Research (1-3) 490 Practical Mission Training (1-6) Top ics in mi ss ionary preparation. Will not credit to maj or.

This emphasis all ows a mathemat- ics major the opportunity to focus on the more mathemati ca l as pects of comput er science. Thi s emph as is must complete: Math I05 , I06, II2, 131, 205 , 29 1, 302, 305, 315, at least two of 321 , 33 1, 332, 333; Computer Science I 05, I06, 202, 400; and two courses at the 300 or 400 level in math or computer science. Mathematics (48 units) This emphasis all ows the student nex ibility in the se lect ion of upper- division courses. The swdent plan- ni ng to pursue math emati cs in gradu- ate school would find th is particularly appropriate. Afaculty advisor will aid the student in mak ing these choices. Thi s emph as is must compl ete: Math 105, 106, 11 2,131 ,205 ,29 1,302,305, 315; Computer Science 105; and five courses (15 units) in math at the 300 or 400 level. Mathematics Secondary Teaching (60 units) Studen ts who wish to prepare to teach mathematics at th e high-school leve l should se lect thi s emp has is. Th ese students work toward a prelim i- nary sin gle-subj ec t credential and should consult th e Education Depart- ment. This emph asis must complete: Math 105, 106 , 11 2, 131, 205,29 1, 302,305,315, 33 1, 332,4 15,420, one course at the 300 or 400 level; Com- puter Science 105, and Education 300, 330, 425, and 435. All concentrat ions must include 24 upper di11sion units. Note: The general education require- ment for a foreign language for those fol- lowing a malhemaliral sciences nuqor may be me/ /Jy two years of high school language or thefirs/ fou runits of a college language. The science/mathematics requirement may be me/ /Jy three units of science. MINOR A Mathematica.I Sciences Minor is offered with the completion of 27 units, six of which must be upper division. Students must consult with a deparunent ad11ser. The basic curricu- lum for a minor is 105, 106, 131, 205, 29 1, 302, one course at the 300 level or above and Computer Science I 05. COURSES 100 Intermediate Algebra (3) Review of elemental)' algebra, graphs and polynomials. Studyof linear and

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