*****Formulas covered *****
1.Number sets
1.1 Set Identities
1.2 Set of Numbers
1.3 Basic Identities
1.4 Complex Numbers
2.ALGEBRA
2.1 Factoring Formulas
2.2 Product Formulas
2.3 Powers
2.4 Roots
2.5 Logarithms
2.6 Equations
2.7 Inequalities
2.8 Compound Interest
3.GEOMETRY
3.1 Right Triangle
3.2 Isosceles Triangle
3.3 Equilateral Triangle
3.4 Scalene Triangle
3.5 Square
3.6 Rectangle
3.7 Parallelogram
3.8 Rhombus
3.9 Trapezoid
3.10 Isosceles Trapezoid
3.11 Isosceles Trapezoid with Inscribed circle
3.12 Trapezoid with Inscribed Circle
3.13 Kite
3.14 Cyclic Quadrilateral
3.15 Tangential Quadrilateral
3.16 General Quadrilateral
3.17 Regular Hexagon
3.18 Regular Polygon
3.19 Circle
3.20 Sector of a Circle
3.21 Segment of a Circle
3.22 Cube
3.23 Rectangular Parallelepiped
3.24 Prism
3.25 Reqular Tetrahedron
3.26 Regular Pyramid
3.27 Frustum of a Regular Pyramid
3.28 Rectangular Right wedge
3.29 Platonic Solids
3.30 Right Circular Cylinder
3.31 Right Circular Cylinder with an Oblique Plane Face
3.32 Right Circular Cone
3.33 Frustum of a Right Circular Cone
3.34 Sphere
3.35 Spherical Cap
3.36 Spherical Sector
3.37 Spherical Segment
3.38 Spherical Wedge
3.39 Ellipsoid
3.40 Circular Torus
4.DIFFERENTIAL CALCULUS (DifferentialCalculusFragments)
4.1 Functions and Their Graphs
4.2 Limits of Functions
4.3 Definition and Properties of the Derivative
4.4 Table of Derivative
4.5 Higher Order Derivatives
4.6 Applications of Derivative
4.7 Differential
4.8 Multivariabke Functions
4.9 Differential Operators
5 INTEGRAL CALCULUS
5.1 Indefinite Integral
5.2 Integrals of Rational Function
5.3 Integrals of Irrational Functions
5.4 Integrals of Trigonometric Functions
5.5 Integrals of Hyperbolic Functions
5.6 Integrals of Exponential and Log Functions
5.7 Reduction Formulas
5.8 Definite Integrals
5.9 Improper Integrals
5.10 Double Integrals
5.11 Triple Integral
5.12 Line Integral
5.13 Surface Integral
6.VECTORS
6.1 Vector Coordinates
6.2 Vector Addition
6.3 Vector Subtraction
6.4 Scaling Vectors
6.5 Scalar Product
6.6 Vector Product
6.7 Triple Product
7 PROBABILITY
7.1 Permutations and Combinations
7.2 Probability Formulas
8 Trigonometry
8.1 Radian and Degree Measures of Angles
8.2 Definitions and Graphs
8.3 Signs of Trigonometric
8.4 Trigonometric Function of Common Angels
8.5 Most Important Formulas
8.6 Reduction Formulas
8.7 Periodicity of Trigonometric Function
8.8 Relations between Trigonometric functions
8.9 Addition and Subtraction Formulas
8.10 Double Angle Formulas
8.11 Multiple Angel Formulas
8.12 Half Angle Formulas
8.13 Half Angle Tangent Identities
8.14 Transforming of Trigonometric Expressions to product
8.15 Transforming of Trigonometric Expressions to sum
8.16 Powers of Trigonometric Functions
8.17 Graphs of Inverse Trigonometric Functions
8.18 Principal Value of Inverse Trigonometric Functions
8.19 Relations between Inverse Trigonometric Function
8.20 Trigonometric Equations
8.21 Relation to Hyperbolic Functions
9 Matrices and Determinants
9.1 Determinants
9.2 Properties of Determinants
9.3 Matrices
9.4 Operations with Matrices
9.5 System of Linear Equations
10 SERIES
10.1 Arithmetic Series
10.2 Geometric Series
10.3 Some Finite Series
10.4 Infinite Series
10.5 Properties of Convergent Series
10.6 Convergence Tests
10.7 Alternating Series
10.8 Power Series
10.9 Differentiation and Integration of Power Series
10.10 Taylor and Maclaurin Series
10.11 Power Series Expansions for some functions
10.12 Binomail Series
10.13 Fourier Series
11 DIFFERENTIAL EQUATIONS
11.1 First Order Ordinary Differential Equations
11.2 Second Order Ordinary Differential Equations
11.3 Some Partial Differential Equations
12 ANALYTIC GEOMETRY
12.1 One-Dimensional Coordinate System
12.2 Two-Dimensional Coordinate System
12.3 Straight Line in Plane
12.4 Circle
12.5 Ellipse
12.6 Hyperbola
12.7 Parabola
12.8 Three-Dimensional Coordinate System
12.9 Plane
12.10 Straight Line in Space
12.11 Quadric Surface
12.12 Sphere
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