《LinearAlgebra》课程教学大纲.docx

OverseasChineseCollege–CourseSyllabusPagePAGE1ofNUMPAGES6

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CapitalUniversityofEconomicsandBusiness

OverseasChineseCollege

CourseSyllabus

YearandSemester

Fall(Sophomores)

CourseName

LinearAlgebra

CourseCode

MAT221

CourseType

√GeneralEducation(Required)?GeneralEducation(Elective)

?BasicDisciplinaryCourse?ProfessionalCourse(Required)

?ProfessionalCourse(Elective)?ProfessionalCourse(Expanded)

CourseCredits

3

CourseHours

48

Prerequisites

MAT111,MAT112

Instructor

ContactInformation

OfficeHour

LearningCentre

Grade/Section

CourseTime/Place

Textbook

LeeW.Johnson,R.DeanRiess,JimmyT.Arnold.IntroductiontoLinearAlgebra,5thEdition.ChinaMachinePress,ISBN:7-111-10628-8

ReferenceBook

GilbertStrang.LinearAlgebraandItsApplications,4thEdition.BrooksCole,ISBN:978-0030105678

CarlD.Meyer.MatrixAnalysisandAppliedLinearAlgebra.SocietyforIndustrialandAppliedMathematics(SIAM),ISBN:978-0898714548

CourseDescription

Linearalgebrastudieslinearity,thesimplestformofquantitativerelationshipandprovidesabasisforthestudyofmanyareasofpureandappliedmathematics,aswellaskeyapplicationsinthephysical,biologicalandsocialsciences.Topicsincludesystemsoflinearequations,vectors,vectorequations,matrices,determinants,vectorspaces,bases,andlineartransformations.Thiscoursealsohelpsstudentsdevelopabasicunderstandingoflinearalgebratheoriesandprovidesthembasiclinearalgebramethodsandtoolsforapplications.

StudentLearningOutcomes

Afterlearningthiscourse,thestudentswillbeableto:

Knowledge:

?solveanysystemoflinearequations

?graspmatrixoperationsandcomputedeterminants

?understandvectorspacesandlineartransformations

?resolvetheeigenvalueproblemanddiagonalization

Capability

?Establishtheconnectionbetweenlinearalgebraandgeometry