Course Content 75 Videos,
Subect Expert 1 Videos,
1.Abhishek Trivedi Sir Faculty Introduction
Fundamental of Mathematics 25 Videos,
1.L-1 Sets,methods to write set,cardinality,types of set P1
2.L-2 Sets,methods to write set,cardinality,types of set P2
3.L-3 Operation on sets,equality of sets and venn diagram
4.L-4 Some important laws and Problems on cardinality of sets, Problems on cardinality of sets
5.L-5 Theory of numbers P1
6.L-6 Theory of numbers P2
7.L-7 Theory of numbers P3
8.L-8 Linear inequalities - 1
9.L-9 Linear inequalities - 2
10.L-10 Intervals
11.L-1 Indices
12.L-2 Surds
13.L-3 Factorizations and Manupulations P1
14.L-4 Factorizations and Manupulations P2
15.L-5 Factorizations and Manupulations P3
16.L-6 Polynomials P1
17.L-7 Polynomials P2
18.L-8 Equation reducible to quadratic and system of equations
19.L-9 Inequalities
20.L-10 Wavy Curve Method-1
21.L-11 Wavy Curve Method-2
22.L-12 Wavy Curve Method-3
23.L-13 Ratio and Proportion
24.L-14 Componendo & Dividendo
25.L-15 Introduction to Modulus
Relations and Functions 4 Videos,
1.L-1 Cartesian Product of Two Sets, Relation
2.L-2 Introduction to Function
3.L-3 Identity, Constant, Greatest Integer Function
4.L-4 Algebra of Real Functions
Relation 4 Videos,
1.L-1 Cartesian product of two sets, Relations, Domain and Range, Number of Relations, Representation of Relation
2.L-2 Types of Relation,Classification of Relations, Reflexive,Symmetric,Transitive, Equivalence
3.L-3 Antisymmetric & partial order relation
4.L-4 Equivalence classes & Bell triangle
Function 7 Videos,
1.L-1 Introduction to function, Representation of functions,Graphical testing of function. Components of functions: Domain, Codomain, Range,
2.L-2 Polynomial, Rational, Identity , constant , exponential, Logarithmic, Modules, signum Function and its graph
3.L-3 Greatest integer function and fractional part function, it's properties
4.L-4 Algebra of Function, miscellaneous examples on domain
5.L-5 Range , Methods- 1,2,,3 to find range
6.L-6 Range , Method-4 to find range, Equal, bonded & implicit & explicit functions
7.L-7 Transformation of graphs - 1
Quadratic Equations and Expressions 10 Videos,
1.L-1 Quadratic Its Roots, Relation b/w Roots and its Coefficients
2.L-2 Theory of Equations
3.L-3 Nature of Roots
4.L-4 Symmentric Functions and Transformation of Roots & identity
5.L-5 Condition of Common Roots & Inequations
6.L-6 Graph & range of Quadratic Function
7.L-7 Range of Rational Functions
8.L-8 Location of Roots-1
9.L-9 Location of Roots-2
10.L-10 Quadratic in Two Variables & Reducible to QE
Inverse Trigonometric Function 8 Videos,
1.L-1 General introduction
2.L-2 Domain, Range & Graph of Inverse trigonometric functions
3.L-3 Illustrations
4.L-4 Properties of inverse trigonometric function (P-1, P-2)
5.L-5 Properties of inverse trigonometric function (P-3, P-4, P5)
6.L-6 Properties of inverse trigonometric function (P-6, P-7, P-8)
7.L-7 Simplification & Transformation of Inverse functions by elementary substitution and their graphs
8.L-8 Equations involving inverse trigonometric functions Identities involving inverse trigonometric functions Simultaneous equations and inequations involving I.T.F.
Limit 9 Videos,
1.L-1 General introduction, Definition of limit
2.L-2 Left hand limit and right hand limit of a function, Indeterminate forms, Five Fundamental Theorems
3.L-3 Various Strategies (To evaluate limit) P-1
4.L-4 Various Strategies (To evaluate limit) P-2
5.L-5 Various Strategies (To evaluate limit) P-3
6.L-6 Theorem, Limits of Trigonometric Functions
7.L-7 Limit using Series Expansion, Limit of Exponential Functions
8.L-8 Limits of the function of the form 1¥ , Generalised Formula for 1¥
9.L-9 Limits of functions having built in limit with them,Sandwich / Squeeze play
Continuity & Differentiability 7 Videos,
1.L-1 General introduction, Formulative definition of continuity Continuity in an interval, Reasons of discontinuity (Including all examples)
2.L-2 Ilustrations
3.L-3 Continuity of composite functions, Types of discontinuities
4.L-4 Properties of continuous functions, IVT, Continuity of functions defined by some functional rule Important points to be remember, Single point continuity
5.L-5 Existence of derivative through its geomertical meaning, Derivability & Continuity Derivability over an interval, Important concepts P1
6.L-6 Existence of derivative through its geomertical meaning, Derivability & Continuity Derivability over an interval, Important concepts P2
7.L-7 Existence of derivative through its geomertical meaning, Derivability & Continuity Derivability over an interval, Important concepts P3