Applied Mathematical and Physical Formulas Pocket Reference. Vukota Boljanovic
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