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Details of Maths Handbook Arihant PDF by Amit Rastogi Sir
- Name of Notes: Maths Handbook Arihant PDF by Amit Rastogi Sir
- Subject: Mathematics
- Notes Size: 6 MB
- Total Pages: 463 Pages
- Language of the Notes: English
- Format: PDF (Portable Document Format)
- Notes Type: Ebook PDF
- Link Type: Google Drive
- Credit: Amit Rastogi Sir (Arihant Publication)
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| Name of Units | Name of Chapters |
|---|---|
| Sets and Relations | Sets ! Subset and Superset ! Venn Diagram ! Operations on Sets ! Ordered Pair ! Relation ! Composition of Relation |
| Functions and Binary | Operations ! Functions ! Equal Functions ! Real Valued and Real Functions ! Standard Real Functions and their Graphs ! Operations on Real Functions ! Compositions of Two Functions ! Even and Odd Functions ! Binary Operations |
| Complex Numbers | Equality of Complex Numbers ! Iota ! Algebra of Complex Numbers ! Argand Plane and Argument of a Complex Number Cube Roots of Unity ! nth Roots of Unity ! Geometry of Complex Numbers |
| Theory of Equations and Inequations | Polynomial ! Quadratic Equation ! Quadratic Expression ! Inequality ! Linear Inequality ! Solution Set |
| Sequences and Series | Sequence ! Series ! Arithmetic Progression (AP) ! Geometric Progression (GP) ! Harmonic Progression(HP) ! Arithmetic-Geometric Progression |
| Permutations and Combinations | Fundamental Principles of Counting ! Factorial ! Permutation ! Circular Permutation ! Combination |
| Binomial Theorem and Principle of Mathematical Induction | ! Binomial Theorem for Positive Integer ! General Term in a Binomoal Expansion ! Middle Term in a Binomial Expansion ! Greatest Term ! Multinomial Theorem ! R-f Factor Relations ! Binomial Theorem for Any Index ! Principle of Mathematical Induction |
| Matrices | ! Matrix ! Algebra of Matrices ! Transpose ofMatrix ! Symmetric and Skew- Symmetric Matrices ! Elementary Operations (Transformations of a Matrix) ! Conjugate of a Matrix ! Rank of a Matrix |
| Determinants | ! Determinant ! Minor and Cofactors ! Adjoint of a matrix ! Inverse of a Matrix ! Homogeneous and Non- homogeneous System of Linear Equations |
| Probability | ! Experiment ! Algebra of Events ! Baye’s Theorem ! Random Variable ! Bernoulli Trials and Binomial Distribution |
| Trigonometric Functions, Identities and Equations | Measurement of Angles ! Relation Between Degree and Radian ! Trigonometric Ratios For Acute Angle ! Trigonometric (or Circular) Functions ! Graph of Trigonometric Functions ! Fundamental Trigonometric Identities ! Trigonometric Functions of Compound Angles ! Transformation Formulae ! Trigonometric Functions of Multiple Angles ! Trigonometric Periodic Functions ! Trigonometric Equations |
| Solution of Triangles | ! Basic Rules of Triangle ! Trigonometrical Ratios of Half of the Angles of Triangle ! Area of a Triangle |
| Heights and Distances | ! Angle of Elevation ! Angle of Depression |
| Inverse Trigonometric Functions | ! Domain and Range of Inverse Trigonometric Functions ! Graphs of Inverse Triginometric Functions ! Elementary Properties of Inverse Trigonometric Functions ! Inverse Hyperbolic Functions |
| Rectangular Axis | ! Rectangular Axis ! Quadrants ! Distance Formulae ! Section Formulae ! Area of Triangle/ Quadrilateral ! Shifting of Origin/Rotation of Axes ! Equation of Locus |
| Straight Line | ! Slope (Gradient) of a Line ! Angle between Two Lines ! Equation of a Straight Line ! Distance of a Point from a Line ! Equation of the Bisectors ! Equation of Tangent ! Equation of Normal ! Pair of Tangents ! Common Tangents of Two Circles ! Family of Circles ! Limiting Points ! Diameter of Circle |
| Parabola | ! Conic Section ! General Equation of Conic ! Standard Forms of a Parabola and Related Terms ! Equation of Tangent ! Point of Intersection of Two Tangents ! Equation of Normal ! Length of Tangent and Normal ! Equation of Diameter ! Pair of Tangents ! Chore of Contact |
| Ellipse | ! Parametric Equation ! Equation of Tangent ! Equation of Normal |
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