Modulus based Equations & Inequalities
Fundamentals, Quadratic equation, Roots and Discriminant
Quadratic equation Problem
Complex Number Illustration
Complex Number Illustration
Properties of Conjugate Complex
Algebra of Complex Number
Addition / Subtraction in Complex Number
Multiplication and division of Complex Number in Euler's form
Properties of nth Root of Unity
Illustrations of the nth Root of Unity
Graphs in Quadratic equation
Location Of Roots Advance
Coordinate in quadratic equation
Condition for Common Roots
Co-ordinate geometry in Complex Form
Arithmetic Progression with Examples
Properties of Arithmetic Progression
Parabola & Its Standard Form
Reorganization of Conic Sections
Tangents and Normals to Conics
Effect of Shifting Parabola
Standard Results & Properties of Parabola
More About Directrix & Vertex
Tangents and Normals to Parabola
Three Normals in parabola
Relation of Focal Chord & Semi Latus Rectum
Arithmetic Geometric Series
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The actual definition of ‘integral’ is as a limit of sums, which might easily be viewed as having to do with the area. One of the original issues integrals were intended to address was the computation of area.
Let f : A → B and g : B → C be two functions. Then the composition of f and g, denoted by g ∘ f, is defined as the function g ∘ f : A → C given by g ∘ f (x) = g(f (x)), ∀ x ∈ A.
A periodic function is a function that repeats its values at regular intervals. For example, the trigonometric functions, which repeat at intervals of {\displaystyle 2\pi }2\pi radians, are periodic functions. Periodic functions are used throughout science to describe oscillations, waves, and other phenomena that exhibit periodicity.
A function is a special type of relation in which each element of the domain is paired with exactly one element in the range . A mapping shows how the elements are paired. Its like a flow chart for a function, showing the input and output values. A mapping diagram consists of two parallel columns.
limit, a mathematical concept based on the idea of closeness, is used primarily to assign values to certain functions at points where no values are defined, in such a way as to be consistent with nearby values.
we give a precise definition of the most important concept of continuity of a real-valued function at
a point of its domain and extend it to its domain. The notion of continuity of a function has occupied a central stage in
mathematical analysis and it will be used extensively in the coming sections of this volume. The term “continuous” is
in practice since the time of Newton but was not defined precisely until the 19th century
The differentiable function of one real variable is a function whose derivative exists at each point in its domain. In other words, the graph of a differentiable function has a non-vertical tangent line at each interior point in its domain
Basic mathematics, pre-algebra, coordinate geometry, inequality, and algebra are what this website will teach you. We have designed the site for anyone who needs a basic to advanced understanding of mathematics concepts and operations.
Maximum and minimum values of a function
Learn about the maximum and minimum of a function
Topic name-Integration as the inverse process of differentiation, Geometrical interpretation of indefinite integral,3 Methods of Integration, Integrals of Some Particular Functions, Integration by Partial Fractions, and Integration by Parts.
The chapter will contain:-Function undefined or discontinuous at the endpoint, Properties-4 with example problems, Properties-5 with example problems, etc
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19 Chapters
10 Notes
7 Test series
30 hours 16 min
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