Unit-I: Sets and Functions
- Sets and their representations
- Empty set
- Finite and Infinite sets
- Equal sets. Subsets
- Subsets of a set of real numbers especially intervals (with notations)
- Power set
- Universal set
- Venn diagrams
- Union and Intersection of sets
- Difference of sets
- Complement of a set
- Properties of Complement Sets Practical Problems based on set
Click on below given links to view/download:
Handwritten Notes-
Rapid Revision Notes- Rapid-Sets_Relations&functions.pdf
- Ordered pairs
- ·
Cartesian product of sets
- Number of elements in the cartesian product of two finite sets
- Cartesian product of the sets of real (up to R x R)
- Definition of:
- · Relation
- ·
Pictorial diagrams
- ·
Domain
- ·
Co-domain
- ·
Range of a relation
- Function as a special kind of relation from one set to another
- Pictorial representation of a function, domain, co-domain and range
of a function
- Real valued functions, domain and range of these functions:
- ·
Constant
- ·
Identity
- ·
Polynomial
- ·
Rational
- ·
Modulus
- ·
Signum
- ·
Exponential
- ·
Logarithmic
- ·
Greatest integer functions
(with their graphs)
- Sum, difference, product and quotients of functions.
Click on below given links to view/download: Handwritten Notes- Relations&Functions.pdf
Rapid Revision Notes- Rapid-Sets_Relations&functions.pdf
Chapter 3: Trigonometric
Functions
- Positive and negative angles
- Measuring angles in radians and in degrees and conversion of one
into other
- Definition of trigonometric functions with the help of unit circle
- Truth of the sin2x+cos2x=1, for all
x
- Signs of trigonometric functions
- Domain and range of trigonometric functions and their graphs
- Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx
& cosy and their simple application
- Identities related to sin 2x, cos2x, tan 2x, sin3x, cos3x and tan3x
- General solution of trigonometric equations of the type sin y = sin
a, cos y = cos a and tan y = tan a.
Rapid Revision Notes- Rapid-Trigonometry.pdf
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