COURSE DESCRIPTIONS
Chair:Walter Stangl, Ph.D. FACULTY Professor: Thurber Associate Professors : Stangl, Woo OBJECTIVES
course (3 uni ts) at the 300 or 400 level in Math , and Computer Science I 05. Computer Science (53 units) This emphasis al lows a mathematics major the opportuni ty to focus on the more mathemati cal aspects of computer science. This emphasis must complete: Math 105, 106, 11 2, 205, 291 , 305, 315, at least two of 321, 331 , 332, 333, two units of 370; Compu ter Science I05 , I 06, 202, 400; and three courses (9 uni ts) at the 300 or 400 level in math or computer science. Mathematics (47 units) This emph as is all ows the student fl exibili ty in the selection of upper division courses . The student plan ning to pursue mathemati cs in gradu ate school would find this particularly appropriate. A fac ulty advisor will aid the student in making these choices. This emphasis must complete: Math 105, 106, 112, 205 , 291, 305, 315, two uni ts of 370; Computer Science 105; and six courses ( 18 uni ts) in math at the 300 or 400 level. Mathematics Secondary Teaching (59 units) Studems 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-s ubj ec t credential and should consult the Education Depart menl. This emphas is must complete: Math 105, 106, 11 2, 205 , 29 1, 305, 315, 331, 332, 341, two uni ts of 370, 415, two courses (6 uni ts) at the 300 or 400 level; Computer Sci ence 105, and Education 300, 330, 425, and 435 . Those students interested in a teaching credential should be advised that a new pw gram Jor the single su/Jject teaching creden tial in mathematics has been apt1roved. Consult the Education Department for details on cwrent f1rograms. All concentrations must include 24 upper division uni ts. Note: The general education require ment for a Joreign language Jor those Jol i.owing a 11wthematical sciences major may be met /Jy two years of high school language or the fi rst four units of a college language. The science/mathematics requirement may be met /Jy threeunits ofscience. MINOR A Mathematical Sciences Minor is offered with the completion of 27 units, six of which must be upper division. Students must consult with a depart ment advise r. The basic curricu lum 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) Revi ew of elementary algebra, graphs and polynomi als. Study of linear and quadratic equati ons and inequali ties, fac toring, frac ti ons, exponents and radi ca ls. Prerequi site: one year of high school algebra. Not counted for ge neral ed uca ti on requirement or toward graduation. Fall. 101 Precalculus Mathematics (3) Sets, the real number system, relations, functions, graphs, algebraic processes, inequali ties, trigonome tric fu nctions, exponential and logari thmic functions, introduction to sequences. Prerequi site: three years of high school mathe matics or consenl. Cannot be counted toward the major. Spring. 102 Topics in Mathematics (1-2) Se lecte d to pi cs in math ema tics. Arranged in conjun ct ion with the individual needs of the student. Pre requisite : consent. 103 Calculus for Management Sciences (3) Fundamental principles of di fferential and integral ca lcu lu s. Appli cations chosen mainly from the management sciences. Prerequisite: pass ing profi ciency exam admini stered by Mathe mati cs Deparunelll or receiving a "C" or better grade in Math 90 the prior
112 Discrete Structures (3) Elementary properties of sets, discrete probabili ty and combinatorial analy sis, graphs, relations, order ings, func ti ons, si mpl e algebra ic st ru ct ures , binary ari thmeti c and other bases , methods of proof. Prerequisite: three years of high school mathemati cs or consent. Spring. 120 The Nature of Mathematics (3) Selected topi cs in mathemati cs with consideration of histori cal deve lop ment and related philosophical issues. Designed to meet the general educa tion requiremenl in mathemati cs for liberal arts stud ents. Ca nn ot be co unted toward the math ematics major. Fall , spring. 190 Business Statistics (3) Co ll ec ti on and presentation of busi ness data, central te ndency and di s persion measures fo r busin ess analysis, samp lin g an d in fere nce for confi dence intervals and hypothesis tes ti ng, business forecas ting with simple and multi ple regression, index numbers. Prereq ui site : conse nt. Fa ll , sp ring. For busin ess majors only. 205 Intermediate Calculus (4) Functions of two and th ree variables, pa rti al di ffe rentiati on, mul tiple in tegrat ion, curves and surfaces in three dimensional space . Prerequi site: 106. Fall. 210 Introduction to Probability and Statistics (3) Na ture of statistical methods, descri p tion of sample data, fundamental con cepts of probability, probabili ty distri butions, sampling, estimation, correla tion and regression, appli cation of same. Fa ll , spring. 291 Linear Algebra (3) Topics frommauices, detenninants, li n ear transformations and vec tor spaces. Prerequisite: I 06 or consent. Fall. 305 Advanced Calculus (3) The real number system, elementa1-y topolog ica l co nce pts in Ca rtes ian spaces, convergence, continui ty, deriv ati ves and integrals. Prerequisite: 11 2 and 205 or consent. Alternate years. 315 Modern Algebra (3) In troduction to abstract algebra with topics from elementary ring, fie ld and group th eori es. Emphas is on ring of integers, congru ences, polynomi al domains, pe rmutati on groups. Pre requi site: 11 2 and 29 1 or consent. Al ternate years.
The Department of Mathematics at Biola University provides several areas of concentration in addition to a basic core cuniculum. The student is allowed con 2-J siderable flexibili ty in the major, depend ing upon voca ti onal or profess ional goals. Resources avai lable to the depart ment include Pentium workstations, a Decstation 2100 and two VAX 3100 work stations. Al so available are Intel 486- based microcomputers, Power PCs and Macintosh microcomputers. Operating systems include VMS, UNIX, DOS, Win dows and Macintosh. These computers are all networked together and provide easy access to the Inte rnet. The department endeavors to pro
vide (I) a strong foundational core cur riculum for the student desi1ing to pur sue graduate studyin both the pure and applied fi elds of mathematical science, (2) course work and training to prepare students fo r applied mathemati cal sci ences (sta tistics , computer sc ience , operations research and ac tuarial sci ence) and the field of teaching, (3) sup port courses for the cuniculum of other majors (biological science, physical sci ence, engineering, business and nurs ing) and (4) courses basic to gaini ng some knowledge of mathematics as part of a li beral arts education. The depart ment provides an attractive and thor ough offe1ing in mathematics as part of God's creation and there is a concerted effort to integrate faith and learning. DEGREE PROGRAM A Badie/or ofScience degree in MaJhemm ical Sciences is offered upon completion of the universi ty baccalaureate and the math major in one of the emphases. Those who plan to pursue graduate studies should take at least two of 410, 450 or 480 regard less of the area ofconcentration. MAJORS Applied Math (47 units) Students who are interes ted in preparing for ca ree rs in busin ess or industry shou ld choose this emphasis. Courses introduce a varie ty of areas of appli ed math emati cs. This emphas is must compl ete: Math 105 , 106 , 11 2, 205, 291, 305, 315, 32 1, 331, 332, 333, two units of 370, 435 or 440 , one
year. Fall , spring. 105 Calculus I (4)
Limi ts, differentiation and integration of rati onal and trigonomet ri c fun c tions, with applications. lmroduction to use of Mathematica. Prerequisite: fo ur years of high school mathematics
or consent. Fall. 106 Calculus II (4)
Differentiation and integration of loga rithmic, exponential and inve rse nigono metric fun ctions; various methods of integration; infinite sequences and se1ies; pararneuic equations, polar coordinates. Prerequisite: 105. Sp1ing. 111 Fundamentals of Mathematics for Elementary Teachers (3) Se t theo ry, relations and fun ctions, numbe r sys tems and algeb raic struc tures, numeration systems, elementary number theory, in fo1mal geomeu-y, use of manipulatives. For elementa1-y edu cation majors only. Cannot be counted toward the mathematics major. Fall .
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