The Ultimate Cheat Sheet for Math & Physics · PDF fileImplicit differentiation ... Visually...
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TheUltimateCheatSheetforMath&PhysicsPreview
TableofContentsAlgebra..............................................................................................................................................2Arithmetic......................................................................................................................................................................................................2Exponents......................................................................................................................................................................................................3
Trigonometry.....................................................................................................................................4DoubleAngleFormulas...........................................................................................................................................................................4HalfAngleFormulas..................................................................................................................................................................................5SumandDifferenceFormulas..............................................................................................................................................................6
Precalculus.........................................................................................................................................7EquationofaLine......................................................................................................................................................................................7EquationofParabola................................................................................................................................................................................7EquationofCircle.......................................................................................................................................................................................7EquationofEllipse.....................................................................................................................................................................................7EquationofHyperbola.............................................................................................................................................................................7EquationofHyperbola.............................................................................................................................................................................7
Calculus..............................................................................................................................................8Tangentline..................................................................................................................................................................................................8Implicitdifferentiation............................................................................................................................................................................9
LinearAlgebra..................................................................................................................................10Rankofmatrixandpivots...................................................................................................................................................................10Lengthofavectorandtheunitvector...........................................................................................................................................11SolutionsofAugmentedMatrices....................................................................................................................................................12CoefficientMatrix....................................................................................................................................................................................12UniqueSolution.......................................................................................................................................................................................13InfiniteSolution.......................................................................................................................................................................................13NoSolution.................................................................................................................................................................................................13DifferentialEquations......................................................................................................................14First-OrderLinearNon-Homogeneous..........................................................................................................................................14OrderandLinearity................................................................................................................................................................................14ReductionofOrder.................................................................................................................................................................................15
Physics.............................................................................................................................................16Vectors.........................................................................................................................................................................................................16DotProduct................................................................................................................................................................................................16CrossProduct............................................................................................................................................................................................16MagnitudeorLengthofavector......................................................................................................................................................17ResultantVector......................................................................................................................................................................................17
QuickReference...............................................................................................................................19Arithmetic...................................................................................................................................................................................................19Exponential................................................................................................................................................................................................19Radicals.......................................................................................................................................................................................................19Fractions.....................................................................................................................................................................................................19Logarithmic................................................................................................................................................................................................19
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QuadraticFormula..................................................................................................................................................................................20About:Thisbookcoversalltheformula,equationstipsandtricksanundergraduateSTEMmajorrequiresforAlgebra,Trigonometry,Precalculus,Calculus(alllevels/areas),LinearAlgebra,DifferentialEquations,andPhysics(Mechanics,E&M,Optics)ThebookisapplicabletoanySTEMstudentatanypointoftheircareer.Itcanactasareview,aguidedassistantandortoolforstudentsoutsideofcollege.
AlgebraArithmetic
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