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Videos & Materials
Domain, Co-domain and Range of function
Important types of function
Identical, Implicit and Explicit function
Classification of functions
Basic Transformation on graph
PNC based Problem, Functional equations
Composite function, Inverse of function
Even and odd ,Periodic function
Introduction, Domain and range of ITF
Simplification & Transformation of ITF
Inequations involving ITF
Fundamental Theorems on Limits
Methods to Evaluate Limit
Evaluation of Trigonometric limits
Limits of the Various Form
L'hospital's rule for evaluating limits
Limit of exponential function
Limit using series expansion
Continuity in an interval
Removable type of discontinuities
Non-Removable type of discontinuities
Intermediate value theorem
Continuity of special types of function
Existence of Derivative at x = a
Theorem of differentiability
Geometrical interpretation
Derivability over An Interval
Differentiability by differentiation
Methods of differentiation
Integration as anti-derivative
Integration of Irrational Function and Partial Fraction
Integration of trigonometric function
Definite integral as a limit of sum
Periodicity of Integral Functions
Gamma Function and Derivative of Definite Integration
Equation of tangent & normal
Estimation of definite integral
Angle of intersection of two curves
Length of tangent, subtangent, normal and subnormal
Rate Measure, Approximation
Monotonicity of a function at a point
Test for local maximum / minimum, when f(x) is differentiable
Concept of global maximum/minimum
Different Graphs of the cubic
Problems on shortest distance between two curves
Order and Degree of Differential Equation
General and particular solutions
Linear Differential Equations
Area Based on Geometrical Figures
Different cases of bounded area
Standard area to remembered
Area bounded by inverse of a function
Definitions, types of vector
Vector equation of a line, collinearity of three point
Scalar product of two vectors
Vector product of two vectors
Shortest distance between two lines, Scalar triple product
Direction cosines, Direction ratios
Angle between planes, Angle between a line and a plane
Angle between two lines, Planes
Introduction, Geometrical representation of a complex number
"Conjugate & Modulus of Complex Number"
Argument of Complex Number
Algebra of complex number
Cartesian Form/Algebraic Form
Properties of conjugate & modulus of complex Numbers
Rotation of a Complex Number
"De-Moivre’s Theorem, Cube Roots and nth Roots of Unity"
Trigonometric Form / Polar Form, Exponential Form