Math - complete pocket guide - Lumos Educational App Store

Best collection of math formulas with explanation! Particularly useful for students who is going to pass math exams. The app covers: ALGEBRA Sets of Real Numbers Properties of Real Numbers Properties of Equality Properties of Fractions Division Properties of Zero Real Number Line Interval Absolute Value Distance between Two Points on the Number Line Definition of Positive Integer Exponents Definition of b⁰ Definition of b⁻ⁿ Properties of Exponents Definition of ⁿ√a Properties of Radicals General Form of a Polynomial Factoring Polynomials Order of Operations Adding and Subtracting Polynomials Multiplying Polynomials Dividing Polynomials Rational Expressions Complex Fractions Definition of a Complex Number Definition of a Linear Equation Addition and Multiplication Properties of Equality Systems of Linear Equations Determinants Quadratic Equations Properties of Inequalities Arithmetic Sequence Arithmetic Series Geometric Sequences Geometric Series Binomial Theorem The Cartesian Coordinate System Linear Functions Forms of Linear Equations Quadratic Functions Basic Operation of Functions Exponential Functions Natural Exponential Function Logarithmic Functions GEOMETRY Definition of an Angle Unit Measurement of Angles Types of Angles Thales’ Theorem Oblique Triangle Geocenter of a Triangle Orthocenter Similarity of Triangles The Law of Cosines The Law of Sines Right Triangle Ratio of the Sides of a Right Triangle Pythagorean Theorem Equilateral Triangles Isosceles Triangle Square Rectangle Parallelogram Rhombus Trapezoid Kite Regular Polygons Circle Sector of a Circle Segment of a Circle Annulus (Circular Ring) Ellipse Cube Cuboid Right Prism Pyramid Frustum of Pyramid Cone Frustum of Cone Cylinder Hollow Cylinder Sliced Cylinder Sphere Spherical Cap Sector of a Sphere Zone of a Sphere Torus Ellipsoid Barrel TRIGONOMETRY Circular and Angular Measures Trigonometric Circle Basic Formulas Trigonometric Ratios for Right Angled Triangles Sum and Difference of Functions of Angles Sum and Difference of Angles Double Angle Formulas Half Angle Formulas Functions of Important Angles Solving Trigonometric Equations Verifying Trigonometric Identities Graphs of the Sine and Cosine Functions Graphs of the Tangent and Cotangent Functions ANALYTICAL GEOMETRY Distance between Two Points Point of Division Inclination and Slope of a Line Parallel and Perpendicular Lines Angle between Two Intersection Lines Triangle Equations for a Straight Line Distance from a Line to a Point Circles Ellipses Parabolas Hyperbolas Polar Coordinates Cartesian Coordinates Distance between Two Points Angle between Two Lines Every Plane Line Perpendicular to Plane Parallel and Perpendicular Planes Distance of a Point from a Plane Normal Form Intercept Form Angle Between Two Planes The Straight Line in Space Equations of a Line Relative Directions of a Line and Plane The Sphere The Ellipsoid Hyperboloid Elliptic Paraboloid Hyperbolic Paraboloid Cylindrical Surface MATHEMATICS OF FINANCE Simple Interest Compound Interest Annuities Amortization of Loans Sinking Fund Payment CALCULUS Limits Rule for Limits Slope of Tangent Line Definition of the Derivative Basic Derivatives Increasing and Decreasing Function y=f(x) Maximum and Minimum Function y=f(x) Solving Applied Problems Integration Basic Integration Rules Integration by Substitution Basic Integrals Arc Length Finding an Area and a Volume Finding the Area between Two Curves STATISTICS Definition of Set and Notation Terms and Symbols Venn Diagrams Operations on Sets De Morgan’s Laws Counting the Elements in a Set Permutations Combinations Probability Terminology Basic Probability Principles Random Variable Mean Value or Expected Value Variance Standard Deviation Normal Distribution Binomial Distribution Poisson Distribution Exponential Distribution General Reliability Definitions Exponential Distribution Used as Reliability Function