Basic Terminology Experiment An operation which results in some well-defined outcomes is called an experiment. Random Experiment An experiment whose outcome...
Coordinates in Space A point P is represented as (x, y, z) x, y, z are signed distances from yz-, zx-, and xy-planes respectively Origin O = (0, 0, 0) Distance...
Scalar & Vector Quantities Scalar: Has only magnitude (mass, time, speed, work, temperature) Vector: Has magnitude and direction and obeys triangle law of...
Introduction The process of finding the area of a plane region is called quadrature. Area bounded by curves is evaluated using definite integrals. A rough...
Indefinite Integral If F′(x) = f(x), then ∫ f(x) dx = F(x) + C C is the constant of integration Basic Theorems of Integration ∫ k f(x) dx = k ∫ f(x) dx...
Geometrical Interpretation of Derivative For a curve y = f(x), the derivative dy/dx represents the slope of the tangent. If the tangent makes an angle ψ with...
Derivative Derivative represents the rate of change of one quantity with respect to another. If y = f(x), then: dy/dx = limΔx→0 f(x + Δx) − f(x) / Δx...
Continuity Definition A function is continuous if its graph has no break or jump. A function which is not continuous is called a discontinuous function....
