## Welcome to 11th grade math!

Sets : The concept of set is basic in all branches of mathematics. It has proved to be of particular importance in the formations of relations and functions.
Relations and Functions : In mathematics, we come to across relations such as i) line l is parallel to line m ii) number m is less than number n . In all these we notice that a relation involves pairs of objects in certain order. This section is devoted to the study of relations and functions in mathematics.
Mathematical induction : The process of reasoning from general to particular and the other is known as the process of induction. In algebra or in other disciplines of mathematics, there are certain results or statements that are formulated in terms of n , where n is a positive integer. To prove such statements we use a specific technique, is known as the “Principle of Mathematical Induction".
Logarithms : It is a specific process that reduces the amount of work involved in multiplying and dividing large numbers.
Complex Numbers : Complex number is a number of the form a + ib, where a and b are real numbers and i is the imaginary unit which has the property of i 2 = -1
Linear Inequations : 13x <250 such equations are called linear inequations.The study of inequations is very useful in solving problems in the fields of science, mathematics, statistics, optimization problems, economics,psychology etc.
Quadratic Equations : In this section ask-math provides you the quadratic equations with real coefficients but having negative discriminant.
Sequences and series : In this section ask-math covers all types of sequences such as arithmetic progression (A.P), Geometric progression (G.P) and harmonic progression.
Trigonometric functions : In this section, ask-math provides the circular function and their properties. Such as conversion of angles from radian to degree, signs of trigonometric functions, domain and range of trigonometric functions, sum and difference of angles etc.
Cartesian system of rectangular co-ordinates : This section provides you the distance formula, section formula , area of triangle using coordinates , parametric equation of line etc.
Straight line and family of straight line: In this section, we shall derive the various forms of the equation of a line including the lines parallel to axes and the oblique ones.

Sets
Relations and Functions
Cartesian product of sets
Domain and range of a function
One-to one function
Onto function
Composite functions

• Mathematical Induction
Prove by Mathematical Induction

• Logarithms
Evaluating logarithm
Rules of logarithms
Common and natural logarithm
Logarithms change of base
Application of Logarithm

• Complex Numbers
Complex Numbers
Subtraction of Complex Numbers
Multiplication of complex numbers
Division of complex numbes
Conjugate of complex numbers
Modulus of a complex number
Polar form of complex numbers
Perform operations with complex numbers

• Linear Inequalities
Introduction of linear inequalities
Solving linear inequalities algebra
solving one-step equations and inequalities
Graphing linear inequality
Solve two step linear inequalities
System of linear inequalities
Graphing systems of linear inequalities
System linear inequalities word problems

• Sequences and Series
Series and Sequences

• Arithmetic progression
Introduction of Arithmetic Progression
Common difference in Arithmetic Progression
Find terms of an A.P.
Arithmetic means
Sum of arithmetic progression
Arithmetic sequence properties
Sum of first 'n' natural numbers of an A.P.
Sum of squares of n natural numbers
Arithmetic progression formulae
Arithmetic problems with solutions

• Geometric Progression
Introduction of Geometric Progression
General term of Geometric progression
finding the nth term given the common ratio and the first term
nth term from the end of G.P
Find the position of given term in G.P.
Solved sums on geometric progression
Selection of terms in G.P
Sum of n terms of a Geometric Progression
find common ratio when sum of n terms of G.P is given
Sum of an infinite G.P.
Geometric progression formulae
Application of infinite G.P.
Properties of G.P.
Relation between Geometric and arithmetic mean
Geometric progression problems
Sum of special series

Fundamental theorem of Algebra
Quadratic equation cannot have more than two roots
Nature of roots in Quadratic equation

Trigonometry

• Measurement of angles
Measurement of angles
Systems of measurement of angles
Circular system of measurement of angles
Length of arc
Problems based on S,R and Theta

• Trigonometric Functions
Trigonometric ratios or functions
Trigonometric reciprocal relationships
Quotient Trigonometric Identities
Pythagorean Trigonometric Identities
Signs of the Trigonometric ratios
All sin cos tan rule in Trigonometry
Trigonometric ratios of Allied angles
Trigonometric ratios of (−Θ)
Trigonometric ratios of (90 - Θ)
Trigonometric ratios of (90° + θ)
Trigonometric ratios of (180° - θ)
Trigonometric ratios of (180° + θ)
Trigonometric ratios of (270° + θ)
Trigonometric ratios of (270° - θ)
Trigonometric ratios of (360° - θ)
Trigonometric ratios of (360° + θ)
Periodic function in Trigonomety
Find the values of trigonometric ratios (sin$(315)^{0}$)
Even and odd function in trigonometry

• Graphs of Trigonometric Functions
Graph of a Trigonometric functions
Graph of y = sin x
Graph of y = a sin bx
graph of y= cos x
Sine graph with phase shift y = a sin(bx + c) +d
Cosine graph with phase shift y = a cos (bx + c) +d

Vectors
Vectors in the plane
Equivalent vectors
Component form of the vector