#### Class 11 math (India)

### Course Description

### Sets

operation on sets

### Relations and functions

what is function?

Inputs and output of a function

Introduction to domain and range

Domain of a function

Range of a function

Algebra of a real function

piecewise function

### Trigonometric functions

Degree and radians

unit circle

Graphs of trigonometric function

Trigonometric Identities : symmetry

Trigonometric Identities : sum and difference

Trigonometric equation

Complex numbers

what are the imaginary number?

what are the complex number ?

Adding and subtracting complex numbers

multiplying complex numbers

Dividing complex number

Absolute value &angles of complex numbers

polar form of complex numbers

### Linear inequalities

Introduction of inequalities

Solution of linear inequalities in one variable

Inequalities word problems

Graphical solution of linear inequalities in one variable

solution of system of linear inequalities in two variable

Compound inequalities

### Permutations and combinations

Fundamental principle of couching

permutation

combination

### Binomial theorem

Intro to Binomial theorem

Sequence and series

Into to sequence and series

Arithmetic sequence

Arithmetic series

Geometric sequence

sequence and series word problem

special series

### Straight lines

Two variable linear equation intro slope

Horizontal and vertical line

x-intercepts and y-intercepts

Applying intercepts and slope

Intro to slope-intercept form

Graphing slope intercept-equation

writing slope intercept equation

point- slope form

standard form

summary: Form of two variable linear equation

Conic sections

Introduction to conic section

The feature of a circle

standard equation of a circle

Expand equation of a circle

center and radii of an ellipse

Foci of an ellipse

Focus and directrix of a parabola

Introduction to hyperbolas

Hyperbolas conic section form their equation

Identify the conic equation

Limits

Limits intro

Estimating limit of graph

Estimating limit from table

formal definition of limits(epsilon-data)

Properties of limits

Limits by direct substitution

Limits using algebraic manipulation

strategy in finding limits

Squeeze theorem

### Derivatives

Average vs instantaneous rate of change

Derivative definition

Power rule

More on power rule

Derivative of polynomial function

product rule

Quotient rule

Derivative of trigonometric function

Proof video

### Statistics

Measure of central tendency : mean, median and mode

Measure of spread :range ,variance and standard deviation

other measure of spread : mean absolute deviation

### Introduction to three dimensional geometry

coordinate of point in space

Distance between two points

section formula

### COURCE CHALLENGE

Test your knowledge of the skills in this course. Have a test coming up? The Course challenge can help you understand what you need to review.

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