In the event of a discrepency between this document and the official KPU 2017-18 Calendar (available at www.kpu.ca/calendar/2017-18), the official calendar shall be deemed correct.

2017-18 Calendar www.kpu.ca/calendar/2017-18

MATHEMATICS (MATH)This is a list of the Mathematics (MATH) courses available atKPU.

For information about transfer of credit amongst institutions inB.C. and to see how individual courses transfer, go to the BCTransfer Guide bctransferguide.ca

MATH 1102 3 CreditsPrecalculus AlgebraStudents will develop the computational skills and conceptualunderstanding of algebra, functions, and graphs necessaryto proceed to more advanced mathematics thinking. They willstudy equations, inequalities, graphs, functions, right angletrigonometry, and applications to problem solving. Note: Studentsmay not use this course as science or math credit towards a BScdegree.

Prerequisites: Level E1 as defined in the Math Alternatives TableAttributes: PATH-3

MATH 1112 3 CreditsPre-CalculusStudents will develop the conceptual understanding andcomputation skills that will provide a solid foundation for thestudy of calculus. They will study functions, their graphs, andtheir applications to problem solving. In particular they will study,polynomial, rational, exponential, logarithmic, and trigonometricfunctions. They will develop their ability to use and understand theconcepts and language of mathematics.

Prerequisites: Level C1 as defined in the Math Alternatives TableAttributes: QUAN, PATH-3

MATH 1115 3 CreditsStatistics IStudents will summarize and display data and perform inferencesabout proportions, means and standard deviations for one andtwo populations. Students will summarize and display data, findconfidence intervals, and perform hypothesis tests for proportions,means, and standard deviations, for one and two populations,both large and small. They will also perform regression analysis,and determine probabilities.

Prerequisites: Level C1 as defined in the Math Alternatives TableAttributes: QUAN

MATH 1116 3 CreditsMathematical ExplorationsStudents will study the structure and development of Mathematicsfrom the point of view of the non-mathematician. They willstudy historical material on the development of classicalmathematical ideas as well as the evolution and structureof more recent mathematics, gaining an appreciation ofhistorical and contemporary mathematical thinking. This is anexploratory course in mathematics for students who have minimalmathematical background and whose major interests lie outsideof the sciences. This course can be used to partially fulfill thequantitative requirement of the BA degree. It may not be used asa prerequisite for further Mathematics courses.

Prerequisites: Level E1 as defined in the Math Alternatives TableAttributes: QUAN

MATH 1117 3 CreditsEnvironmental MathematicsStudents will study algebraic concepts and methods, makinguse of them in general and environmental problem solving. Theywill study basic trigonometry, sequences and series, as well asfunctions (polynomial, rational, exponential, and logarithmic), andusing functions to model data.

Prerequisites: Level E1 as defined in the Math Alternatives TableAttributes: PATH-3

MATH 1120 3 CreditsDifferential CalculusStudents will learn to differentiate algebraic and elementarytranscendental functions and to apply these skills to graphing,maxima and minima, related rates, and rectilinear motion. Theywill be introduced to parametric curves and their differentialcalculus. Students with credit for MATH 1130 may not take thiscourse for further credit.

Prerequisites: Level A1 as defined in the Math Alternatives TableAttributes: PATH-3, QUAN

MATH 1130 3 CreditsCalculus for Life Sciences IStudents will study differential calculus and its applicationsto biological sciences. In particular, they will study limits anddifferentiation of algebraic and elementary transcendentalfunctions, with applications to graphing and optimization. Studentswith credit for MATH 1120 may not take MATH 1130 for furthercredit.

Prerequisites: Level B1 as defined in the Math Alternatives TableAttributes: PATH-3, QUAN

MATH 1135 3 CreditsProblems and ConceptsStudents will develop skills in solving mathematical problems.They will study propositional and quantifier logic and apply thisknowledge to solving problems and to elementary set theory,including relations and functions.

Prerequisites: Level C1 as defined in the Math Alternatives TableAttributes: QUAN

MATH 1140 3 CreditsCalculus I (Business Applications)Students will study the differentiation of algebraic and elementarytranscendental functions and apply these skills to graphing,finding maxima and minima and solving problems in business,economics and social sciences. Students will also study first andsecond order partial derivatives

Prerequisites: Level B1 as defined in the Math Alternatives TableAttributes: PATH-3

In the event of a discrepency between this document and the official KPU 2017-18 Calendar (available at www.kpu.ca/calendar/2017-18), the official calendar shall be deemed correct.

2017-18 Calendar www.kpu.ca/calendar/2017-18

MATH 1152 3 CreditsMatrix Algebra for EngineersStudents will solve systems of linear equations, and study thealgebra of matrices, determinants, invertibility, eigenvalues andeigenvectors, diagonalizability and systems of linear OrdinaryDifferential Equations (ODE's). They will study the geometryof Euclidean space, dot and cross products, the arithmetic ofcomplex numbers, exponentials and logarithms of complexnumbers, and the complex plane. Students will use a ComputerAlgebra System to solve problems in matrix algebra.

Prerequisites: One of: MATH 1120, MATH 1130 (C+), MATH1140 (B-), MATH 1230 or MATH 1240Attributes: QUAN

MATH 1190 4 CreditsMathematics for Elementary School TeachersStudents will study the theory and applications of arithmetic,geometry and data analysis (statistics). This course is designedfor students planning a career as an elementary school teacher.

Prerequisites: Level E1 as defined in the Math Alternatives Table,and at least 9 credits numbered 1100 or higherAttributes: QUAN

MATH 1216 3 CreditsMathematics in the Visual ArtsStudents will study the mathematical principles, methods, andstructures used in the visual arts. They will study Euclidean andnon-Euclidean geometry, symmetry, tilings in the plane, fractalgeometry, and perspective. Note: this course may not be used asa prerequisite for further mathematics courses.

Prerequisites: Level E1 as defined in the Math Alternatives Table.Attributes: QUAN

MATH 1220 3 CreditsIntegral CalculusStudents will learn to integrate algebraic and elementarytranscendental functions and to apply these skills to appropriateproblems. In addition, they will learn the fundamental theorem ofcalculus, Taylor polynomials, sequences and series and simpledifferential equations.

Prerequisites: One of: MATH 1120 (C), MATH 1130 (C+), MATH1140 (B-)Attributes: QUAN

MATH 1230 3 CreditsCalculus for Life Sciences IIStudents will study integral calculus and its applications tobiological sciences. In particular, they will study the techniquesof integration, including integration by parts and partial fractions;differential equations, including systems of linear differentialequations; and mathematical models in the biological sciences.

Prerequisites: MATH 1120, MATH 1130, or MATH 1140 (C+).Attributes: QUAN

MATH 1240 3 CreditsCalculus II (Business Applications)Students will study the integration of algebraic and elementarytranscendental functions and apply these skills to solvingproblems in business, economics and social sciences. They willalso study multivariate differential calculus, differential equations,matrix algebra and linear programming.

Prerequisites: MATH 1120, MATH 1130 or MATH 1140.Attributes: QUAN

MATH 2232 3 CreditsLinear AlgebraStudents will study systems of linear equations, matrices,determinants, eigenvalues and eigenvectors, dot products,cross products, the Gram-Schmidt process, vector and scalarprojections, lines and planes in Euclidean space. Students willalso study vector spaces, including general vector spaces andsubspaces, linear independence, spanning sets, bases, and lineartransformations. Students will write simple proofs.

Prerequisites: One of the following: MATH 1120 (C), MATH 1130(C+), MATH 1140 (B-), MATH 1220 (C), MATH 1230 (C) or MATH1240 (C).Attributes: QUAN

MATH 2315 3 CreditsProbability and StatisticsStudents will study introductory probability and statisticsusing a background of calculus. Topics include concepts ofrandomness, probability, probability distributions for discrete andcontinuous random variables, descriptive statistics, multivariatedistributions, laws of expectation, functions of random variables,statistical inference, and hypothesis testing. Distributionsstudied will include binominal, normal, t, chi-square, geometric,hypergeometry, exponential and Poisson distributions.

Prerequisites: MATH 1220, MATH 1230 or MATH 1240.Attributes: QUAN

MATH 2321 3 CreditsMultivariate Calculus (Calculus III)Students will study the calculus of three dimensions. They willstudy vectors, lines, planes, cylinders and surfaces; vectorfunctions, space curves and motion in space; and diferential andintegral calculus of functions of several variables. Students willstudy optimization, including Lagrange Multipliers. They will studyrectangular, polar, cylindrical, spherical and general coordinatesystems. Students will study applied problems and use of acomputer algebra system. Students with credit for MATH 2821may not take this course for further credit.

Prerequisites: One of: MATH 1220 (C), MATH 1230 (C+), MATH1240 (B-)Attributes: QUAN

MATH 2331 3 CreditsIntroduction to AnalysisStudents will study the theory that underlies differential andintegral calculus. In particular, they will study real numbers, limitsof sequences, limits of functions, continuity, and will learn how toconstruct proofs involving these concepts.

Prerequisites: One of MATH 1220, MATH 1230 (C+), MATH 1240(B-) or MATH 2232Attributes: QUAN

In the event of a discrepency between this document and the official KPU 2017-18 Calendar (available at www.kpu.ca/calendar/2017-18), the official calendar shall be deemed correct.

2017-18 Calendar www.kpu.ca/calendar/2017-18

MATH 2335 3 CreditsStatistics for Life SciencesStudents will learn statistical techniques and their application tolife sciences. They will study descriptive statistics, elementaryprobability, probability distributions, in particular, the binomial,normal, t and chi-square distributions, confidence intervals andhypothesis testing for population means, and proportions, as wellas for differences in population means and proportions. Studentswill also study linear regression, and the chi-square goodness-of-fit test. Students with credit for MATH 2341 may not take MATH2335 for further credit.

Prerequisites: One of: MATH 1120 (C), MATH 1130 (C), MATH1140 (C)Attributes: QUAN

MATH 2341 4 CreditsIntroduction to Statistics for BusinessStudents will learn statistical techniques and their application tobusiness and economics. They will study descriptive statistics,elementary probability, random variables, sampling distributions,linear regression, correlation, estimation and hypothesis testing.They will also learn how to apply statistical software to descriptiveand inferential statistics. Distributions studied will includebinominal, normal, t- and chi-square distributions. Students withcredit for MATH 2335 may not take MATH 2341 for further credit.

Prerequisites: Level C1 as defined in the Math Alternatives Table,and 9 credits from courses at the 1100 level or higherAttributes: QUAN

MATH 2410 3 CreditsDiscrete MathematicsStudents will study the basic techniques of discrete mathematics,including methods of logic, formal reasoning, induction, recursion,counting, functions and relations, modular arithmetic, andstructures such as graphs and trees.

Prerequisites: CPSC 1103, MATH 1120, MATH 1130 or MATH1140.Attributes: QUAN

MATH 2721 3 CreditsComplex Numbers and Linear AlgebraStudents will use row reduction to solve systems of linearequations. They will study the algorithms for matrix multiplication,inversion, transposition, determinants, eigenvalues andeigenvectors, and diagonalization, and apply these skills topractical problems. They will study the geometry of Euclideanspace. They will study the arithmetic, exponentials and logarithmsof complex numbers, and use them to solve a variety of appliedproblems in physics and engineering. Students will use aComputer Algebra System to solve problems in matrix algebra.

Prerequisites: MATH 1220 or MATH 1230Attributes: QUAN

MATH 2821 3 CreditsMultivariate and Vector CalculusStudents will study the principles of multivariate and vectorcalculus. They will study surfaces, partial derivatives, gradients,and multiple integrals in polar, cylindrical, and spherical co-ordinate systems. Students will also study derivatives of vector-valued functions, differential operators, line integrals and Green’stheorem, surface integrals including the divergence and Stokes’theorems, conservative fields, and potentials, with an emphasison applications. Students with credit for MATH 2321 may not takeMATH 2821 for further credit.

Prerequisites: (MATH 1220 or MATH 1230) and (MATH 2721 orMATH 1152)Attributes: QUAN

MATH 3120 3 CreditsIntroduction to Applied MathematicsStudents will learn a wide range of mathematical techniques andmethods useful in applied mathematics. They will study Fourierseries, Fourier integrals, Laplace and Fourier transforms; thegamma, beta, and error functions; Bessel functions, Dirac deltafunction, Legendre, Hermite, and Laguerre polynomials.Theywill also study an introduction to higher-order partial differentialequations and their solutions by integral transforms and Green’sFunctions.

Prerequisites: MATH 2321 and (MATH 2232 or MATH 1152)Attributes: QUAN

MATH 3130 3 CreditsIntroduction to the Mathematics ClassroomStudents will study and implement theories related to the teachingof mathematics. They will review and investigate current and pastmathematics teaching practices. They will complete a projectthat integrates theory with practice and produce a portfolio ofwritten work. Students will be required to apply theory throughactivities such as tutoring mathematics, assisting in a classroom,or developing curriculum materials.

Prerequisites: One of: MATH 2232 (C), MATH 2321 (C),MATH 2331 (C), MATH 2410 (C). Note: EDUC 2220 (C) isrecommended.

MATH 3140 3 CreditsMathematical ComputingStudents will study the use of mathematical software such asMATLAB and Maple, and spreadsheets such as Excel to solveproblems from mathematics and the applications of mathematics.They will be introduced to mathematical word-processing withLaTeX. Students are required to have a portable computer able torun software as designated by the instructor.

Prerequisites: Both (a) MATH 2315 and MATH 2321, and (b)MATH 1152 or MATH 2232.Attributes: QUAN

In the event of a discrepency between this document and the official KPU 2017-18 Calendar (available at www.kpu.ca/calendar/2017-18), the official calendar shall be deemed correct.

2017-18 Calendar www.kpu.ca/calendar/2017-18

MATH 3150 3 CreditsThe Structure of MathematicsStudents will study the underlying structure of mathematics,including mathematical symbolism, introduction to set theoryand introduction to logic. They will develop an understandingof methods of proof and an appreciation for the structure ofmathematics.

Prerequisites: MATH 2232 (C) and one of: MATH 1220 (C),MATH 1230 (C+), or MATH 1240 (B-).Attributes: QUAN

MATH 3160 3 CreditsGroup TheoryStudents will study the fundamental concepts and results ofgroup theory. They will study groups and subgroups, Lagrange'stheorem, homomorphisms, normal subgroups, factor groups,Cauchy's theorem and direct products.

Prerequisites: Both (a) MATH 1220, MATH 1230 (C+) or MATH1240 (B-), and (b) MATH 2232.

MATH 3170 3 CreditsComplex VariablesStudents will study complex numbers, functions of complexnumbers, analytic functions, Cauchy-Riemann equations,elementary functions, contour integration, Cauchy's integraltheorem and formula, series

representations of analytic functions, poles and residues, withapplications to physics and engineering.

Prerequisites: Both (a) MATH 1152, MATH 2232 or MATH 2721,and (b) MATH 2321 or MATH 2821.Attributes: QUAN

MATH 3250 3 CreditsGeometryStudents will study Euclidean and other geometries, and constructgeometrical proofs and objects. They will apply geometricconcepts and reasoning to practical problems.

Prerequisites: MATH 2232 (C) and one of the following: MATH1220 (C), 1230 (C+), or 1240 (B-)Attributes: QUAN

MATH 3315 3 CreditsApplied Inferential StatisticsStudents will be introduced to the standard techniques of multipleregression analysis. They will study simple regression, ANOVA,multivariable distributions, analysis of residuals and general linearmodels and their role in research.

Prerequisites: 15 credits from courses at the 1100 level or higherand one of: MATH 1115 (C), MATH 2335 (C), MATH 2341 (C), orMATH 2315 (C).Attributes: QUAN

MATH 3322 (formerly MATH 2322) 3 CreditsVector Calculus (Calculus IV)Students will study the calculus of vector valued functionsand vector fields. They will study derivatives of vector valuedfunctions, the chain rule, Jacobians and invertibility, differentialoperators, line integrals and Green's theorem, surface integralsincluding divergence and Stokes' theorems, path independenceand conservative fields and potentials.

Prerequisites: MATH 2321 (C) and one of: MATH 2232 (C),MATH 1152 (C)Attributes: QUAN

MATH 3421 3 CreditsOrdinary Differential EquationsStudents will study solving first order differential equations,second order linear differential equations with constantcoefficients, Laplace transforms, systems of linear differentialequations, and applications of differential equations. Students willalso be using a computer algebra system.

Prerequisites: Both (a) MATH 1152 or 2232, and (b) MATH 1220,MATH 1230 (C+) or MATH 1240 (B-).Attributes: QUAN

MATH 3431 3 CreditsPartial Differential EquationsStudents will study the wave equation, the heat equation,Laplace’s equation, and other classical equations of mathematicalphysics. They will study Fourier series and Fourier transforms,Sturm-Liouville Theory, Laplace transforms and partial differentialequations in polar coordinates.

Prerequisites: MATH 3421Attributes: QUAN

MATH 3450 3 CreditsHistory of MathematicsStudents will study the aspects of the history of mathematicsfrom its earliest beginnings in solving concrete problems throughthe development of abstraction and rigour in the nineteenth andearly twentieth centuries. They will examine and analyze both thegrowth of ideas and the context in which they developed, withemphasis on the mathematics taught in secondary school and thefirst two years of university study.

Prerequisites: Both (a) MATH 1220, MATH 1230 (C+) or MATH1240 (B-), and (b) MATH 2232.Attributes: QUAN

MATH 4130 3 CreditsTheory of Mathematics EducationStudents will explore theories and trends in mathematicseducation. They will survey significant historical, philosophical,psychological and societal factors influencing the developmentof mathematics education as a field of inquiry, and willcritically examine and discuss current theories and research inmathematics instruction. They will investigate problem solving,reasoning and communication in mathematics.

Prerequisites: One of: MATH 2232 (C), MATH 2321 (C),MATH 2331 (C), MATH 2410 (C). Note: EDUC 2220 (C) isrecommended.

In the event of a discrepency between this document and the official KPU 2017-18 Calendar (available at www.kpu.ca/calendar/2017-18), the official calendar shall be deemed correct.

2017-18 Calendar www.kpu.ca/calendar/2017-18

MATH 4150 3 CreditsNumber TheoryStudents will study the following topics: divisibility, propertiesof types of integer numbers, primes, congruences, Diophantineequations, primitive roots, and quadratic residues.

Prerequisites: Both (a) MATH 1220, MATH 1230 (C+) or MATH1240 (B-), and (b) MATH 2232.Attributes: QUAN

MATH 4190 3 CreditsIntroduction to Point-Set TopologyStudents will study the fundamental concepts and results ofpoint-set (general) topology. They will study sets, relations andfunctions, order, cardinality, Axiom of Choice, topological spaces,bases and subbases, continuity and homeomorphisms, metricspaces, countability and compactness.

Prerequisites: MATH 2232 (C) and MATH 2331 (C) and one ofthe following: MATH 1220 (C), 1230 (C+), or 1240 (B-)

MATH 4210 3 CreditsBiomathematicsStudents will study mathematical modelling and data analysis forbiological systems. They will focus on developing and analysingdynamic models of biological systems and processes. Theywill study the mathematics of population dynamics, models ofmetabolic processes, genomics and epidemiology.

Prerequisites: MATH 2315 and MATH 3421.Attributes: QUAN

MATH 4220 3 CreditsNumerical MethodsStudents will study the theory and practical application ofnumerical methods for approximating solutions of linear andnonlinear problems. They will study solutions to nonlinearequations, interpolation and splines, numerical differentiationand integration, solution of initial and boundary value problems,and error sources and analysis. Students are required to havea portable computer able to run software as designated by theinstructor.

Prerequisites: All of: (a) MATH 1152, MATH 2232 or MATH 2721,(b) MATH 2321, and (c) CPSC 1103 or MATH 3140.Attributes: QUAN

MATH 4240 3 CreditsMathematical ModellingStudents will study the formation, analysis, and interpretationof mathematical models drawn from the physical, biological,economic, and social sciences. They will study continuousand discrete, deterministic and stochastic models. Studentswill use techniques such as time series analysis, differentialand difference equations, matrix analysis, optimization, simplestochastic processes, and numerical methods. Note: Studentsare required to have a portable computer able to run software asdesignated by the instructor.

Prerequisites: Both (a) MATH 1152 or MATH 2232, and (b) MATH2315 and MATH 2321.Attributes: QUAN

MATH 4250 3 CreditsSpecial Topics in MathematicsStudents will study a particular advanced topic in mathematics,depending upon student interest and faculty availability.

Note: Students may take this course multiple times for furthercredit on different topics.

Prerequisites: MATH 2232 (C) and one of: MATH 1220 (C),MATH 1230 (C+), MATH 1240 (B-)Attributes: QUAN

MATH 4350 3 CreditsSenior ProjectStudents will complete a substantial research project under thesupervision of an instructor. They will identify relevant sourcesof information, in the form of a literature search and review, andsubmit a final paper investigating a research question.

Note: The student's topic must be approved by the MathematicsDepartment.

Prerequisites: 9 credits from courses in MATH at the 3000 level orhigher.Attributes: QUAN