COURSES (MATH) 90 Intermediate Algebra (3) Rev iew of e lementary algebra, graph s a nd pol ynomials. S tud y of linear and quadratic equations and inequalities, factoring, frac tions. exponents and radicals. Prerequisite: o ne vear o f hi g h sc hool algebra. Not counted fo r ge neral education req uireme nt or toward grad uation . Fall. 101 Precalculus Mathematics (3) Sets. th e real number system, rela tions , fun ct ions, graphs, algeb raic processes, in equalities , trigono me tri C' fun ctions, exponential and logar ithmic functions, introd uc tion to seq ue nces. Prerequisite: three vears of high school math ematics o r co nsen t. Ca nnot be co unted toward the major. Spring. 102 Topics in Mathematics (1-2) Top ics in ma th e mati cs selected from gene ral ed ucation mathemat ics classes. Arranged in conjunc tion with the individual needs of the st11dent. Prerequisite: consent. 103 Calculus for Management Sciences (3) Fundamental princ iples nf differ e nti al and integral calc ulus . Appli cat ions c hosen mainl y from th e management sciences. Pre requisite: passing proficiency exa m ad mini ste red by Mathe ma ti cs Department or rece iving a "C'' or be tter g rade in Math 90 the prior year. Fa ll , spring. 105 Calculus I (4) Limits. differentiation and integra tion of rational and tri gonometric funct ions, with applications. Intro d uct ion m use of Mathemati c-a. Pre req ui site: four years nf high school mathematic-s or consent. Fall. 106 Calculus II ( 4) Differentiation and integration o f logar ith mi c , expo ne nti a l a nd in verse trigonometric fun c tion s: va ri o us me thods of integrat io n; infinite sequences and se ri es; parametric equations. polar coordi nates. Pre requi site: 10.'i. Spring. 112 Discrete Structures (3) Elementary properties of sets, di s crete probabili ty and combinarorial a nalys is, g raph s. relations. order ings, fun c ti ons. simple a lgeb ra ic struct11res. binary arithmetic a nd other bases. me thods nf pr<K>f. Pre requisite: three years of high school mathematic-s or conse nt. Spring.
plete: Math 105, 106, 112,205,291, 305 , 3 I 5, 32 I , 331, 332, 333, two units of 370, 435 or 440, one course (3 units ) at th e 3(Xl or 400 level in l\fath , and Computer Scie nce 105. Computer Science (53 units) This emph as is allows a mathe matics major the opportunity to foc us on the more mathemat ical aspects of computer science. This emphasi s mu st complete: Mach 105, 106, I 12, 205, 291, 305, 3 15, at leas t two of .12 1, 33 I, 332, 333, two units of 370: Computer Sci ence I 05, I 06, 202, 4(Xl; and three courses (9 units) at the 300 or 400 leve l in math or compmer science. Mathematics (47 units) T his emphas is allows the stu dent fl ex ibilitv in th e selection o f upper-div ision courses. The stu dent planning co pursue mathemat ics in grad uate sc hool wo uld find this particularly appropriate. A fac ulty advisor will aid th e srndent in mak ing these choices . This emphasis must complete: Math 10.'i, 106, I 12, 20.'i , 291, 305, 31.'i, two units of 370; Compute r Sci em:e 105: and six courses (18 units) in math at the 3(Xl or 4(Xl level. Mathematics Secondary Teaching (59 units) Swdent, who wish co prepare to teach mat hema t ics at the hi g h school leve l s houl d select this emphasi s. These stude nts work toward a preliminarv single-subject cred e ntial and should consult the Ed ucation Department. This emphasis must complete: Math 10.'i, 106, I 12. 205,291.305, 3 15, .'Bl , 332, 34 I. [WO unit, of 370, 41.'i, [WO courses (6 units) at the 3(Xl or 400 level ; Computer Science !OS, and Education 3(X), .'HO. 425, and 4.'15. A ll co nce n tra tion s must include 24 upper division units. Nott•: Tit ,• J!t!llr ro/ eil11rotio11 rn;11 irn11r111 for a fortig11 la11g1111J!e for tltosr fo/lowi11g o matltnnatico/ sr.i1•11crs major may br met by tfJ!!O years of ltiJ!n school /a11g11agt' or the fi ,:fl four 1111its r~f a co!ltf!t' l1111g11t1gt:. Tht• sr.imce/matltematic., req11iremt:11t may bt•met bv tltn·r 1111its 1is1.iena:.
117 Fundamentals of Mathematics for Elementary Teachers I (3) Probl e m solving , set th eo ry, whole numbe rs , number theory , integers, rat ional numbers as frac ti o ns, decimals, percents, and real numbers. Use of manipul atives. For elementary education majors onl y. Ca nnot be cou nted toward th e mathematics major. 118 Fundamentals of Mathematics for Elementary Teachers II (3) Introductory geometry. congrue nce, symmetry, meas ureme nt , algebra and coordinate geometry, statistic-s, probability. Use of manipulati ves. For e lementa ry ed ucation majors on ly. Cannot be counted toward the mathematic-s major. 120 The Nature of Mathematics (3) Selected topic-s in mathemat ic-s with consideration of hisrorical develop m e n t and rel ated philosophical issues. Designed to meet the gen eral education requirement in math ematics for liberal arts students. Ca nnot be counted coward the mathematic-s major. Fall , spring. 190 Business Statistics (3) Co ll ec tion and pr ese ntati o n of bus iness data , centra l tend e ncy and dispersio n meas ures for busi ness analysis, sampling and infe r e nce for confidence inrervals and hypothes is testing, business fore casting with simpl e and multiple regression, index numbe rs. Pre requ isite: co nsent. Fall, spring. Fnr business majors onl y. 205 Calculus Ill (4) F un ction s of two a nd three vari ables, partial differentiation. mul tiple integration . c urves and sur faces in three dimensional space . Prerequisite: 106. Fall. 210 Introduction to Probability and Statistics (3) Nature of statistical methods , d escription nf sample data, fun damental rnncepts of probability, probab ilit y distributions , s a m pling, estimat ion, correlation a nd regress ion , appli cation of same. Fall, spring. 291 Linear Algebra (3) Topics from matrices, determi nants, lin ea r transformations a nd vector spaces. Pre requi s ite : 106 o r consent. Fall. 305 Advanced Calculus (3) T he real number s ystem , ele me ntary topo logical concepts in Ca rtesi a n spaces , co nve rge nce, cont inuity, derivatives and inte grals. Prerequisite: I I 2 a nd 20.'i or consent. Alternate years.
315 Modern Algebra (3) Introduc tion co ab s trac t a lgebra with ropics from elementary ring. fi e ld and group theories. Emphasis on ring of intege rs, congr uen ces, pol ynomial domain s, permutation groups. Prerequisite: I 12 and 291
or consent. Alternate vears. 321 Numerical Analysis (3)
F II nctions of one variable. approxi ma te numerical sol utions of non linea r equations a nd svs te ms of linear eq uation s, interpolation the ory, numer ical differentiation and integration, numer ica l snlmions of ordinary differential equations. Prereq ui s ites: 291, Computer Sci ence 10.'i. Alternate years . 331 Probability (3) Samples spaces. axioms a nd ele me ntary theorems of probability. combinatori cs, indepe nde nce. con ditional probabi lity, Bayes· T heo rem. one and higher dime nsi onal random variables, special and mul ti va ria te d iscr ibu tions. Prereq u i sites: 11 2. 205. Alternate years. 332 Statistics (3) Estimation: consistency. unbiased ness, max imum likelihood. confi dence interva ls. Hypothesis-test ing: type I and II errors. likelihood ratio test.~. test for means and vari ances: regression a nd corre lat ion , C hi-square tests, d ecision theory, nonparametric statistics: application of statistic-a l methods. Prereq ui site: 33 1 or consent. Alternate years. 333 Operations Research (3) Mathemati ca l found at ion s of mode l building. optimization. lin e ar prog rammin g model s, ga me theoretic mode ls. Prere qui s ites:
105, Compu ter Science JOS. 341 Classical Geometry (3)
Theorems of Pythagoras. ince n ters , ci rcumcenrers, c ircles. Eu ler lin e. Fe rmat center . Compass co nstru ct ions . So lid geometry. Sp heri ca l geome tr y of arcs. Coo rdin ate geometry. Prereq ui site: Co nsent. Alternate yea rs . 370 Readings in Mathematics (1) Reading of materi al in a special topi c. Colloquium participation . Writing and oral presentation of a researc h paper. Prereq II is i te: Consent of th e department. May be repeated fo r credit. 410 Topics in Advanced Calculus (3) Implicit fun ction theorems, main theorems in integral calculus. Jaco bian transformations, infinite series. Prerequisite: 30S. Alternate years.
MINOR
A AfatltnnatiaJ/ St:imcrs Afi11or is offered with t he completion of 27 units, six of which must be upper division. S tude nts must consult with a department adv iser. The basic c urri c ulum for a minor is !OS , 106, 11 2, zos , 29 1, [WO courses (6 units ) at the 300 or 400 level and Computer Science 105.
Course Descriptions· 79
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