Applied Mathematical and Physical Formulas Pocket Reference. Vukota Boljanovic

Applied Mathematical and Physical Formulas Pocket Reference - Vukota Boljanovic


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Form

       27.Intercept Form

       28.Angle Between Two Planes

       29.The Straight Line in Space

       30.Parametric Form Equations of a Line

       31.Symmetric Form Equations of a Line

       32.Two Points Form Equations of a Line

       33.Relative Directions of a Line and Plane

       34.The Sphere

       35.The Ellipsoid

       36.Hyperboloid

       37.Elliptic Paraboloid

       38.Hyperbolic Paraboloid

       39.Cylindrical Surface

       MATHEMATICS OF FINANCE

       1.Simple Interest

       2.Compound Interest

       3.Annuities

       4.Amortization of Loans

       5.Sinking Fund Payment

       CALCULUS

       1.Limits

       2.Rule for Limits

       3.Slope of Tangent Line

       4.Definition of the Derivative

       5.Basic Derivatives

       6.Increasing and Decreasing Function y = f(x)

       7.Maximum and Minimum Function y = f(x)

       8.Solving Applied Problems

       9.Integration

       10.Basic Integration Rules

       11.Integration by Substitution

       12.Basic Integrals

       13.Arc Length

       14.Finding an Area and a Volume

       15.Finding the Area between Two Curves

       STATISTICS

       1.Definition of Set and Notation

       2.Terms and Symbols

       3.Venn Diagrams

       4.Operations on Sets

       5.De Morgan’s Laws

       6.Counting the Elements in a Set

       7.Permutations

       8.Combinations

       9.Probability Terminology

       10.Basic Probability Principles

       11.Random Variable

       12.Mean Value x or Expected Value µ

       13.Variance

       14.Standard Deviation

       15.Normal Distribution

       16.Binomial Distribution

       17.Poisson Distribution

       18.Exponential Distribution

       19.General Reliability Definitions

       20.Exponential Distribution Used as Reliability Function

       PART III PHYSICS

       MECHANICS

       1.Scalars and Vectors

       2.Distance and Displacement

       3.Acceleration

       4.Speed and Velocity

       5.Frequency

       6.Period

       7.Angular Displacement

       8.Angular Velocity

       9.Angular Acceleration

       10.Rotational Speed

       11.Uniform Linear Motion

       12.Uniform Accelerated Linear Motion

       13.Rotational Motion

       14.Uniform Rotation about a Fixed Axis

       15.Uniform Accelerated Rotation about a Fixed Axis

       16.Simple Harmonic Motion

       17.Pendulum

       18.Free Fall

       19.Vertical Projection

       20.Angled Projection

       21.Horizontal Projection

       22.Sliding Motion on an Inclined Plane

       23.Rolling Motion on an Inclined Plane

       24.Newton’s First Law of Motion

       25.Newton’s Second Law

       26.Newton’s Third Law

       27.Momentum of Force

       28.Impulse of Force

       29.Law of Conservation of Momentum

       30.Friction

       31.General Law of Gravity

       32.Gravitational Force

       33.Centrifugal Force

       34.Centripetal Force

       35.Torque

       36.Work

       37.Energy

       38.Conservation of Energy

       39.Relativistic Energy

       40.Power

       41.Resolution of a Force

       42.Moment of a Force about a Point O

       43.Mechanical Advantage of Simple Machines

       44.The Lever

       45.Wheel and Axle

       46.The Pulley

       47.The Inclined Plane

       48.The Wedge

       49.The Screw

       MECHANICS OF FLUID

       1.Density

       2.Viscosity

       3.Pressure of Solid

       4.Pressure of Liquids

       5.Force Exerted by Liquids

       6.Pascal’s Principle

       7.Archimedes’ Principle

       8.Buoyant Force

       9.Flow Rate

       10.Conservation of Mass

       11.Bernoulli’s Equation

       TEMPERATURE AND HEAT

      


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