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SYLLABUS
Algebra
Chapter-1
Functions (16 Periods)
Introduction 1.0 Ordered Pairs 1.1 Types of Functions – Definition 1.2 Inverse Functions and Theorems 1.3 Real valued Functions (Domain, Range and Inverse) Chapter-2 mathematical induction (08 Periods)
Introduction
2.1 Principles of Mathematical Induction & Theorems 2.2 Applications of Mathematical Induction 2.3 Problems on Diversibility
Chapter-3
Matrices (28 Periods)
Introduction 3.1 Types of Matrices 3.2 Scalar Multiple of a Matrix and Multiplication of Matrices 3.3 Transpose of a Matrix 3.4 Determinants 3.5 Adjoint and Inverse of a Matrix 3.6 Consistency and Inconsistency of System of Simultaneous Equations – Rank of a Matrix 3.7 Solution of Simultaneous Linear Equations Vector Algebra
Chapter-4
addition of vectors (18 Periods)
Introduction 4.1 Vectors as a Triad of Real Numbers, Some Basic Concepts 4.2 Classification (Types) of Vectors 4.3 Sum (Addition) of Vectors 4.4 Scalar Multiplication of a Vector 4.5 Angle between Two Non-zero Vectors 4.6 Linear Combination of Vectors 4.7 Components of Vector in Three Dimensions 4.8 Vector Equations of Line and Plane
Chapter-5
Product of Vectors (28 Periods)
Introduction 5.1 Scalar or Dot Product of Two Vectors – Geometrical Interpretation – Orthogonal Projections 5.2 Properties of Dot Product 5.3 Expression for Scalar (Dot) Product, Angle between Two Vectors 5.4 Geometrical Vector Methods 5.5 Vector Equation of a Plane – Normal Form 5.6 Angle between Two Planes 5.7 Vector Product (Cross Product) of Two Vectors and Properties 5.8 Vector Product in (i, j, k) System 5.9 Vector Areas 5.10 Scalar Triple Product 5.11 Vector Equation of a Plane – Differential Forms, Skew Lines, Shortest Distance – Plane, Condition for Coplanarity etc. 5.12 Vector Triple Product – Results trigonometry
Chapter-6
Trigonometric ratios upto transformations (20 Periods) Introduction 6.1 Trigonometric Ratios – Variation – Graphs and Periodicity 6.2 Trigonometric Ratios of Compound Angles 6.3 Trigonometric Ratios of Multiple and Sub-multiple Angles 6.4 Sum and Product Transformations
Chapter-7
Trigonometric Equations (05 Periods)
Introduction 7.1 General Solutions of Trigonometric Equations 7.2 Simple Trigonometric Equations – Solutions
Chapter-8
Inverse Trigonometric Functions (07 Periods)
Introduction 8.1 To Reduce a Trigonometric Function into a Bijective Function 8.2 Graphs of Inverse Trigonometric Functions 8.3 Properties of Inverse Trigonometric Functions
Chapter-9
Hyperbolic Functions (04 Periods)
Introduction 9.1 Definitions of Hyperbolic Functions, Graphs 9.2 Definition of Inverse Hyperbolic Functions and Graphs 9.3 Addition Formulas of Hyperbolic Functions
Chapter-10
Properties of Triangles (16 Periods)
Introduction 10.1 Relation between the Sides and Angles of a Triangle 10.2 Sine, Cosine and Tangent Rules – Projection Rules 10.3 Half Angle Formulae and Area of a Triangle 10.4 Incircle and Excircles of a Triangle (Total Number of Periods : 150)
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CategoriesGeneral Mathematics
Format EPUB
TypeeBook