Online Reviewers

College Algebra

Exponents and radicalsLogarithm and division by zeroQuadratic equation, quadratic formula, and roots of quadratic equationSpecial products and factoringArithmetic, geometric, and harmonic progressionsBinomial expansion and Pascal's triangleSystem of EquationsVariation and ProportionWord Problems in AlgebraNumber problemsDigit problemsMoney/Coin problemsGeometry problemsClock problemsAge problemsMixture problemsWork problemsMotion problems

Plane and Spherical Trigonometry

The six trigonometric functionsTrigonometric identitiesFunctions of a Right TriangleSum and difference of two anglesThe spherical triangleRight spherical triangleOblique spherical triangle

Plane Geometry

TriangleCenters of a TriangleProperties of TriangleQuadrilateralCommon quadrilateralsCyclic quadrilateralTangential quadrilateralPolygonRegular polygonCircle, sector of a circle, segment of a circleCentral angle and inscribed angle

Solid Mensuration

Solids for which volume is the product of base area and altitudePrismCube and rectangular parallelipipedCylinderRight Circular CylinderSolids for which volume is one-third of the product of base area and altitudeConeRight circular conePyramidRegular pyramidRegular tetrahedronFrustumFrustum of a Regular PyramidFrustum of a Right Circular ConeSimilar FiguresSphereSpherical sectorSpherical segmentSpherical wedge and spherical luneSpherical zoneThe Prismatoid and the Prismoidal FormulaSummary and Review

Analytic Geometry

The Straight LineThe CircleParabolaConic sectionsEllipseElements of EllipseHyperbolaEquation of the LocusPolar Coordinates

Differential Calculus

FundamentalsRelation and FunctionTheorems on LimitsThe DerivativeApplicationsCurvature and Radius of CurvatureMaxima and minimaApplication of maxima and minima / Optimization problemsTime ratesDifferentiation of trigonometric and inverse trigonometric functionsOptimization using trigonometric functionsProblems involving inverse trigonometric functionsPartial Differentiation

Integral Calculus

Indefinite IntegralsProperties of integralsDefinite integrationThe General Power FormulaLogarithmic formulaExponential formulaIntegration of trigonometric functionsIntegration of inverse trigonometric functionsIntegration by partsIntegration by algebraic substitutionIntegration by trigonometric substitutionIntegration of rational fractionsPlane areas in rectangular coordinatesPlane areas in polar coordinatesLength of arc in rectangular planeLength of arc in polar planeSolids of revolution by integration

Engineering Mechanics

Components of planar and space forcesMomentCoupleResultant of concurrent forcesResultant of parallel forcesResultant of non-concurrent non-parallel forcesEquilibrium of concurrent forcesEquilibrium of parallel forcesEquilibrium of non-concurrent non parallel forcesTruss analysisMethod of jointsMethod of sectionsSimple frame analysisFriction forcesFriction on wedgesCentroids and Centers of GravityMoment of Inertia and Radius of GyrationRectilinear TranslationProjectile MotionForce Systems in Space

Strength of Materials

Normal StressShear StressBearing StressThin-walled Pressure VesselsStress-strain DiagramAxial DeformationShearing DeformationStatically Indeterminate MembersThermal StressTorsionFlanged bolt couplingsTorsion of thin-walled tubeHelical SpringsShear and Moment in BeamsShear and Moment DiagramsRelationship Between Load, Shear, and MomentLoad and moment diagrams for a given shear diagramMoving LoadsFlexure FormulaEconomic SectionsFloor FramingUnsymmetrical BeamsSuperimposed or Built-up BeamsHorizontal Shearing StressDesign for Flexure and ShearSpacing of Rivets or Bolts in Built-Up BeamsBeam DeflectionsDouble Integration MethodMoment Diagrams by PartsArea-Moment MethodDeflection of Cantilever BeamsDeflections in Simply Supported BeamsMidspan DeflectionThe Superposition MethodCastigliano’s TheoremConjugate Beam MethodRestrained BeamsFixed-end momentsContinuous BeamsThree-Moment EquationReactions of Continuous BeamsContinuous Beams with Fixed EndsDeflections by Three-Moment EquationMoment Distribution MethodCombined StressesCombined Axial and BendingEccentrically Loaded Short ColumnsReinforced BeamsTransformed Section

Engineering Economy

Simple interestCompound interestAnnuityOrdinary annuity, annuity due, deffered annuity, and perpetuity

More Online Reviewers

Derivation of FormulasElementary Differential EquationsAdvance Engineering MathematicsSurveying and Transportation EngineeringStructural AnalysisFluid Mechanics and HydraulicsGeotechnical EngineeringTimber DesignReinforced Concrete Design


List of Greek alphabets and its English equivalentBase Units in SIDerived SI UnitsPrefixes for SI UnitsThe English System of UnitsProperties of common materials