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Maths (Vol 1 (Sets (Types of Functions (One-to-One Function or Injective…
Maths
Vol 1
Sets
Set theory
Sets
Union of sets
Intersection of Sets
Difference of Two Sets
Subset of a Set
Equality of Two Set
Universal Set
Cartesian Product of Sets
Relation
Domain and Range of a Relation
Types of Relation
Number theory
Natural NO.
INTEGERS
Rational Numbers
Irrational Number
Real Numbers
Number Chart
Intervals
Basic Inequalities
Logarithm
Wavy curve method
Quadratic expression
Concave (Open Upward) Parabola (i.e. when a > 0)
Convex (Open Downward) Parabola (i.e. when a < 0)
Absolute value
Basic Properties of | x |
Greatest integer
Fractional part
Basic properties of greatest integer and fractional part
Functions ,domain ,co domain, range
Some Important Functions
Absolute Value Function
Constant Function
Identity Function
Exponential Function
The greatest integer function or Step function
Fractional-part function
Signum Function
Polynomial Function:
Trigonometric Function
Inverse circular function
Graphs of Trigonometric Functions
Graphs of Inverse Functions
Algebra of Functions
Methods to Determine range
Composition of functions
Types of Functions
One-to-One Function or Injective Function
Many-to-One Function
Methods to Identify if a Function is One-to-One or Many-to-One
Onto Function (or Surjective Function) and Into Function
Even Function and Odd Function
Identical Function
Periodic functions
Inverse of a Function
Basic Transformation on Graph
Trigono
Vol 2