2005/2006 - Registrar - McMaster University

MATH 1C03 ' ,INQUIRY IN MATHEMA"{,ICSIMaterial covered in the course may include topics from: 'geometry, discretemath, number 'theory, algebra. 'Three hours; one term , ,Prerequisite: Grade 12 Advanced Functions and Introductory Calculus U .,(or OAC 'Calculus); and one of Grade 12 Geometry an'd Discrete U (orOAC Algebra and Geometry) orGrade~12 Mathematics of Data Manage~ment U (or OAC Finite Mathematics):: and registration in Science I or 'Mathematics and Statistics I. ,-''Enrolment is limited. See the heading Limited Enrolment Courses in the 'Facultyof Scienge section .of the Calepdar.MATH 1 H03 LINEAR ALGEBRA FOR ENGINEERINGLinear systems of equations, matrices, determinants, vectors and, vectorspaces, complex numbers, eigenvalues and eigenvectors.'. Three lectures, one tutoriai; first term', Prerequisite: RegistratiQn in, Engineering I- Antirequisite:MATH 1"B03, 1 H05MATH 1a03·, MATHEMATICAL COMPUTINGIntroduction/to scientific programming; the Matlab env'ironment, statemen,tsand control structwes, scripts and functions;' matrix computations,symbolic algebra, numerical differentiation and integration, plotting,'data analysis, applications to modelling problems. 'Two, lectures; orie lab (two hours); one termPrerequisite: Credit or registration in MATH 1A03 and 1 B03'Enrolment is limited. See the heading Limited Enrolment Courses fnthe 'Faculty of Science section 'of the Calendar. .MATH 1 K03 ' INTRODUCTORY CALCULUS FORBUSINESS,, HUMANITIES AND THE SOCIAL'SCIENCESAn introduction to differential calculus and its applications.Three lectures, one tutorial; one term'Prerequisite: OSS Graqe 11 Mathematics o(OSIS Grade 12 MatHematics(Advanced) ,'Normally n.otopeh to students who haye completed Grade 12 Advanced,'Functions and Introductory Calculus/) (orOAC C~/culus).Students transferring to .the Faculty of Science do not retaincreditforthis course. ' , " , .MATH 1 M03 CALCULUS FOR BUSINESS,HUMANITIESAND THE SOCIAL SCIENCESDifferential and 'integral- calculus:Three lectures, one tutorial; one termPrerequisite: MATH 1 K03 or Grade 12 Advanced Functions and Intr:oductoryCalculus U (orOAC Calculus) ,'Nat o'pim, to students with credit or registration in'MATH 1A03, 1 N03,ARTS&SCI 1006. " " .' ,Stu,dents transferring to the, Faculty bf S9iEmce do not retain credit for'this 'course. Students considering upperwear mathematics courses,'should take 'MA TH 1 A 03. ., ', ,MATH 1 N03 CALCULUS FOR ENGI'NEERING IDifferential calculus, the det'inite integral, techniques of integration,applications. 'Three lectures, one tutorial; one terillPrerequisite: Registration in Engineering IAntirequisite:' MATH 1 A03MATH,1NN3 'CALCUL.US FOR ENGINEERING II , .Applications of integration, differential equations, sequences ,and series,differential 'calculus of several variables, i;l.pplications.Three~ lectures,one tutorial; one term'Prerequisite: MATH 1 N03 'Antirequisite:MATH1 AA3MATH '2A03 'CALCULUS III, Functions of several variables, chain rule; Taylor's formula, extremal problems,Lagrange multipliers; multiple integrals, change of variables formula,line and surface integrals, Green's, Gauss' and Stokes' theorems. 'Three lectures; one term 'Prerequisite: One of MATH 1AA3, 1NN3, ARTS&SCI1.D06; and credit or,registration in one of MATH1B03, 1H03, 11;105:or 1HH3Antirequisite: MATH 2M06,'2004MATH 2AB3 , INTRODUCTION TO REAL ANALYSIS,Fundamental topics in analysis; properties of reai numbers, sequencesand series, power series, uniform continuity, uniform convergence., 'Three lectures; one term , ,'.'Prerequisite: MATH 1AA3. and credit or registration in MATH·1 B03, Antirequisite: MATH2AA3 . 'I, ,MATHEMATICS AND STATISTICS 243MATH 2C03 DIFFERENTIAL EQUATIONS,Ordinary d'ifferential equations, Laplace'transforms, series solutions,, partiai differential equations, separation of variables, Fouriers,eries. 'Three lectures; one ,term. " , ,Prerequisite: One of MATH 1 AA3" 1 NN3, ARTS&SCI1 006; and one ofMATH 1 B03, 1 H03"1 H05; 1 HH3 . ,..Antirequisite: MATH 2003, 2M06, 2P04MATH 2E03 ,INTRODUCTION TO MOD~LLlNG, General features oftnodelling. Selected examples 'from biology, chemistry,economics and ,physics are treated by a variety of elementary me~hods.',Cpmputer packages are used when 'appropriate.' ,, Three lectures, one lab (one hour); qne termPrerequisite: One of MATH 1 AA3, 1 NN3, ARTS&SCI 1006; and credit orregistration in onE) of MATH 1 B03; 1 H03, 1 H05:, 1 HH3'~nrolment is 'limited. However,all students in programs reqUiring thiscourse' will be admitted. See the heading Limited Enrolment Courses inthe, Faculty of Science section of the Calendar.' '"MATH 2K03 'FINANCIAL MAT~EMATICSNominal and effective rates of interest and discount, forces, of, interestand discount,compound interest, annuit(es certain; amortization, sinkingfunds; bonds, security, eValuation, determination of yields:Three lectures; one term" ~rerequisi~e: On~ of MATH 1 A03, '1 M03, 1 N03, ARTS&SCllD06MATH 2L03MATHEMATICALMETHO'DS FORBUSINESS AND SOCIAL SCIENCES,Selected topics from: linear programming" Markov chains, game theory, .'differential equations, and, the calculus of several Variables. "fihree lectures; one term'Prerequisite: Orie of MATH 1A03; 1M03, 1 NN3, ARTS&SCI1D06;andoneof MATH 1 B03, 1 LOa, STATS 1 L03" Grade 12 Mathematics of Data Man~,agemerit U'(orOAC Finite Mathematics) '.' ,Not ope,n, to student~ registered 1(1, Science or Engineering programs.'MATH 2M06 . " ENGINEERING MATHEMATICS II "'Ordinary differential equations, Laplace'transfo'rms, Fourier, series, vectorcalculus,brthogonal curvilinear coordihates4 integral theorems,w,ith'engineering applications.Three lectures;' two terms, , ' ,Prerequisite: MATH 1 NN3; and one of MATH 1 H03, 1 H05, 1 HH3. Antirequisite: MATH 2A03, 2C03, 2P04, 2004, MATH 2P04 DIFFERENTIAL EQUATIONS FOR ENGINEERINGOrdinary differential equations, systems of linear ordinary differentialequations, ·Laplace transform, power series _ solutions" Fourier series'with engineering applications.:'Huee lectures and two tutorials; one term'Prerequisite: MATH 1 NN3 and one of, MATH 1 H03, 1 H05, 1 HH3; or registrationin Honours Neural Computation and creditor registration in MATH1,l303'-Antirequisite:MATH 2C03, 2M06 ,',' , 'MATH 2Q04, ADVANCED CALCULUS FOR ENGINEERINGVector algebra, curves, partial differentiation, multij:>l~ integrals, Green'sThebrem,line arid surface integrals, integral theorems, scalar and vectorpotentials; orthogonal curvilinear ,coordinates, introduction to partial dif-,ferentia"1 equations. - ~Three lectures and two tutorials; one term, Prerequisite: MATH 1 NN3 and one of MATH 1 H03, 1 H05, 1 HH3; or registrationin Honours Neural Computation and credit or registration in MATH '10803Antirequisite: MATH 2A03, '2M06', ,MATH2R03' LINEAR ALGEBRA IIAbstract vector spaces, basis and, ejimension, -linear transformations, 'I.!near equations, inner product spaces, eigenvalues, spectral theorems. ,. Three lectures; one term , ' , ' , 'Prerequisite: One of MATH 1 AA3, 1 NN3, ARTS&SCI 1006; an