Official Syllabus

Chapter 1 : Sets

Introduction, Sets and their representations. The Empty set. Finite and Infinite sets. Equal sets, Subsets, Subsets, Power set, Universal Set, Venn diagrams, Operations on Sets, Union and Intersection of sets. Difference of sets, Complement of a set, Practical Problems on Union and Intersection of two Sets.

Chapter 2 : Relations & Functions

Introduction, Cartesian product of sets, Relations Functions, Some Function and Graphs, Algebra of real function.

Chapter 3 : Trigonometric Functions

Introduction, Angles, Degree Measure, Radian Measure, Relation between Radian & Real Numbers, Relation beeteen degree and radian, Trigonometric functions signs of trigonometric function, Domain and range of trigonometric functions.

Trigonometric function of sum and difference of two angles, Trigonometric Equation.

Chapter 4 : Principle of Mathematical Induction

Induction, Motivation, The principle of mathematical induction.

Chapter 5 : Complex Numbers and Quadratic Equations

Introduction, Complex numbers, Algebra of complex numbers, Addition, Difference, Multiplication, Devision of two complex numbers, Power of i (iota),  A Square roots of a negative real number, Identities. 

The Modulus and the conjugate of a complex number, Argand Plane and Polar representation, Quadratic Equations.

Chapter 6 : Linear Inequalities

Introduction, Inequalities, Algebraic solutions of linear inequalities in one variable and their graphical. Representation, Graphical solution of linear inequalities in two variables. Solution of system of Linear Inequalities in two variables.

Chapter 7 : Permutations and Combinations

Introduction, Fundamental principle of counting, Permutations. Permutations when all the object are distinct. Factorial notation, Derivation of Formulae form ⁿpr, Permutations when all the objects are not distinct objects, Combinations.

Chapter 8 : Binomial Theorem

Introduction, Binomial theorem for positive integral indices, General and middle terms.

Chapter 9 : Sequence and Series

Introduction, Sequences, Series. Arithmetic Progression (A. P.), sum of n terms of A.P., Arithmetic Mean, Geometric Progression (G.P.), General term of a G.P., Sum of n terms of G.P, Geometric mean (G.M.), relation between A.M. and G.M. 

Sum of n terms of Special Series.

Chapter 10 : Straight Lines

Introduction, Slope of a line, Slope of a line when co-ordinater of any two points of the line are given, Condition for Parallelism and Perpendicularity of lines in terms of their slopes, Angles between two lines, Collinearity of three points, Various forms of the equations of a line, Horizontal and Vertical lines, Point -slope form, Two-point form, Slope intercept form, Intercept form, Normal form.

General equation of a line, Difference form of ax+bx+c=0. Distance of a point from a line, Distance between two Parallel lines.

Chapter 11 : Conic Sections

Introduction, Sections of a cone, Degenerated conic sections, Circle, Parabola, Standard equations of parabola, Lotus Rectum, Ellipse, Relationship between semi-major anis semi - minor anis and the distance of focus from the centre of ellipse, Special cases of an ellipse, Eccentricity, Standard equation of and ellipse, Lotus Rectum, Hyperbola, Eccentricity, Standard Equation of Hyperbolaa Lotus Rectum.

Chapter 12 : Introduction to Three-dimensional Geometry

Introduction, Co-ordinate anes and co-ordinate planes in three dimensional space, Co-ordinates of a point in space. Distance between two points, Sect

Official Syllabus

Chapter 1 : Sets

Introduction, Sets and their representations. The Empty set. Finite and Infinite sets. Equal sets, Subsets, Subsets, Power set, Universal Set, Venn diagrams, Operations on Sets, Union and Intersection of sets. Difference of sets, Complement of a set, Practical Problems on Union and Intersection of two Sets.

Chapter 2 : Relations & Functions

Introduction, Cartesian product of sets, Relations Functions, Some Function and Graphs, Algebra of real function.

Chapter 3 : Trigonometric Functions

Introduction, Angles, Degree Measure, Radian Measure, Relation between Radian & Real Numbers, Relation beeteen degree and radian, Trigonometric functions signs of trigonometric function, Domain and range of trigonometric functions.

Trigonometric function of sum and difference of two angles, Trigonometric Equation.

Chapter 4 : Principle of Mathematical Induction

Induction, Motivation, The principle of mathematical induction.

Chapter 5 : Complex Numbers and Quadratic Equations

Introduction, Complex numbers, Algebra of complex numbers, Addition, Difference, Multiplication, Devision of two complex numbers, Power of i (iota),  A Square roots of a negative real number, Identities. 

The Modulus and the conjugate of a complex number, Argand Plane and Polar representation, Quadratic Equations.

Chapter 6 : Linear Inequalities

Introduction, Inequalities, Algebraic solutions of linear inequalities in one variable and their graphical. Representation, Graphical solution of linear inequalities in two variables. Solution of system of Linear Inequalities in two variables.

Chapter 7 : Permutations and Combinations

Introduction, Fundamental principle of counting, Permutations. Permutations when all the object are distinct. Factorial notation, Derivation of Formulae form ⁿpr, Permutations when all the objects are not distinct objects, Combinations.

Chapter 8 : Binomial Theorem

Introduction, Binomial theorem for positive integral indices, General and middle terms.

Chapter 9 : Sequence and Series

Introduction, Sequences, Series. Arithmetic Progression (A. P.), sum of n terms of A.P., Arithmetic Mean, Geometric Progression (G.P.), General term of a G.P., Sum of n terms of G.P, Geometric mean (G.M.), relation between A.M. and G.M. 

Sum of n terms of Special Series.

Chapter 10 : Straight Lines

Introduction, Slope of a line, Slope of a line when co-ordinater of any two points of the line are given, Condition for Parallelism and Perpendicularity of lines in terms of their slopes, Angles between two lines, Collinearity of three points, Various forms of the equations of a line, Horizontal and Vertical lines, Point -slope form, Two-point form, Slope intercept form, Intercept form, Normal form.

General equation of a line, Difference form of ax+bx+c=0. Distance of a point from a line, Distance between two Parallel lines.

Chapter 11 : Conic Sections

Introduction, Sections of a cone, Degenerated conic sections, Circle, Parabola, Standard equations of parabola, Lotus Rectum, Ellipse, Relationship between semi-major anis semi - minor anis and the distance of focus from the centre of ellipse, Special cases of an ellipse, Eccentricity, Standard equation of and ellipse, Lotus Rectum, Hyperbola, Eccentricity, Standard Equation of Hyperbolaa Lotus Rectum.

Chapter 12 : Introduction to Three-dimensional Geometry

Introduction, Co-ordinate anes and co-ordinate planes in three dimensional space, Co-ordinates of a point in space. Distance between two points, Section Formula.

Chapter 13 : Limits and Derivatives

Introduction, Intuitive idea of Derivatives, Limit Algebra of limits, Limits of polynomials and rational functions, Limits of Trigonometric functions, Derivatives, Algebra of Derivative of  functions, Derivatives of polynomials and trigonometric functions.

Chapter 14 : Mathematical Reasoning

Introduction, Statrements, New Statement from old, Negation of statements Compound statements, Special word/phrases, Quantifiers, Implications, Contra Positives and Converse, Validating statements.

Chapter 15 : Statistics

Introduction, Measures of Dispersion, Range, mean deviation, Mean deviation of ungrouped/grouped data, Limitations of mean deviation, Variance and standard deviation, Standard deviation of a discreate frequency distribution, Standard deviation of a  continuous frequency distribution, Shortcut Method to find variance and standard deviation, Analysis od Frequency Distributions, Comparision of two frequency distributions with same mean.

Chapter 16 : Probability

Introduction, Random experiments, Outcomes and sample space. Events, occurrence of an event, Types of events, Algebra of events, Complementary events, The event A or B, The event A and B, The event A but not B, Mutually Exclusive events, and Exhaustive events.

Axiomatic Approach to Probability, Probability of an event, Probabilities of equally likely outcomes, Probability of the Event A or B, Probability of event not A.

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