Mathematics

TheCheverusMathematicsDepartmentbe lievesmathshouldbestudiedforitsbeautyaswe llasitsutility.Themysteriesof sc iencearewritteninthelanguageof mathematicsandthedepartmenthopestoopenthe irstudents?eyestothepowerof math,as we llasdeve lopacatalogof skillsfordailyliving .Techno logywillbeusedwhereappropriateandthedepartmentrequiresthe purchaseof aTI-83/ 84graphingcalculatorforitsupper-leve lcourses .

Algebra IA

1credit

Thisalgebracourseisdesigned for thestudent who needsextratimeto understand mathematical concepts, such aspolynomialsand linear/quadratic equations. Thecourseisinformal, inductive, and the paceslowed so that fewer topicsarecovered, but they aremastered in preparation for Geometry.

Algebra I

1credit

Thisalgebracourseisdesigned for thestudent who needsextratimeto understand mathematical concepts, such aspolynomialsand linear/quadratic equations. Thecourseisinformal, inductive, and the paceslowed so that fewer topicsarecovered, but they aremastered in preparation for Geometry.

Algebra I Honors

1credit

Designed for thestudent takingfirst-year algebra who wantsto challengehim/herself, thiscourse coversall theessentialsof elementary algebra included in theregular program aswell aschallenges thestudent to grasp advanced concepts. Thesubject matter enhancestheproblem-solvingcapabilitiesof thestudent. Studentsselected for thiscoursemust behighly motivated and haveahistory of outstandinggradesin mathematics.

Geometry A

1credit

Thiscoursecoverstheessential topicsof geometry from an inductivepoint of view. Algebraskillsare continuously reinforced whiletopicssuch as parallelism, congruent triangles, parallelograms, similarity, right triangles, area, and volumeare examined. Geometry

1credit

Thiscoursecoverstheessentialsof planegeometry from aformal point of view. Topicscovered in this courseincludeparallelism, congruent triangles, parallelograms, similarity, right triangles, circles, areas, volumes, and coordinategeometry. An introduction to someconceptsin elementary logicis included.

Geometry Honors

1credit Prerequis ite:AlgebraI Honors

Geometry Honorspresentsacompletecoursein planegeometry for thewell-prepared mathematics student. Thecourseistheoretical and an introduction to formal, deductiveproof beginsvery early. Algebraic skillswill beconstantly reviewed and strengthened through application to solving geometric problems. Supplemental material will be used to enrich thetext. Freshmen selected for this coursemust behighly motivated, haveahistory of outstandinggradesin mathematics, and scorewell on theCheverusmath assessment.

Algebra II

1credit

Thiscourseisdesigned to providethestudent with areviewof skillsfrom first year algebraand then to study trigonometric, logarithmic, and exponential functionsaswell asother topicsastimeallows. The emphasisison equation solvingand itsapplication to thesolution of word problems.

Algebra II Honorswith Trigonometry

1credit Prerequis ite:GeometryandAlgebraI H

Thiscourseisdesigned for highly motivated math studentswho havetaken AlgebraI Honorsand Geometry or Geometry Honors. Theusual Algebra II topicsarestudied in greater detail and depth. The next coursein thesequenceisPre-CalculusHonors.

1credit Prerequis ite:GeometryH andAlgebraI H

Thiscourseisdesigned for highly motivated math studentswho haveexcelled in AlgebraI Honorsand Geometry Honors. AlgebraII and trigonometry topicsarestudied in great detail and depth. Conic sectionsand matrices, typically covered in Pre-Calculusclasses, areexamined. Thenext course in thesequenceisAPCalculusAB.

Pre-Calculus

1credit Prerequis ite:AlgebraII

Thiscoursedevelopsafoundation so studentswill bewell-prepared for acollegecalculuscourse, such asin an economicsor businessprogram. Trigonometric, logarithmic, and exponential functionswill bestudied in detail. Limitswill be introduced in thesecond semester.

AP CalculusAB

1credit Prerequis ite:AlgebraII Honors

Thisisacollege-level coursefor studentswho have completed AlgebraII Honorswith Pre-Calculus. Sometimeisspent strengtheningthestudent?s pre-calculusbackground, but thefocusof thecourse isdifferential and integral calculus. Studentswill grapplewith theideaof instantaneouschangeand theareaunder acurve, and thenumerous applicationsof theseconcepts.

AP CalculusBC

1credit Prerequis ite:CalculusAB

Thiscourseisboth amorerigorousexamination and an extension of thetopicsstudied in AP CalculusAB. Thecalculusof parametricand polar functionsareintroduced and seriesas approximationsfor functionsarestudied in detail.

Statistics

1credit Prerequis ite:AlgebraII

Thiscourseintroducesstudentsto thefundamentals of statistical thought. Methodsto describedata, both visually and numerically, areexamined aswell astopicsfrom linear regression, survey and experimental design, probability, and basic hypothesistesting. Topicsin consumer mathematics, such asinterest and personal finance, will be considered in thesecond semester if timepermits.

AP Statistics

1credit Prerequis ite:AlgebraII

Thefocusof thecourseison thefour critical ideas of elementary statistics: planningasurvey, probability, describingdata, and makinginferences about apopulation from asurvey. Thiscourseis equivalent to aonesemester collegestatisticsclass. Dual enrollment credit with St. Joseph?sCollegeis available.

CalculusC

1credit Prerequis ite:CalculusBCandDepartmentapproval

Thiscourseextendsthetopicslearned in AP CalculusBC into multipledimensions. Thesame conceptsof limits, differentiation, and integration arestudied, but areno longer restricted to the Cartesian plane. Partial derivatives, multiple integrals, and lineintegralsareamongthenewideas introduced. Thiscourseishonorslevel.

Linear Algebra

1credit Prerequis ite:Departmentapproval

Thetopicsin thiscourseincludematrix operations, determinants, vector spaces, inner product spaces, eigenvalues, and linear transformations. Thiscourse ishonorslevel.