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Introduction to Iterated Integrals, Region of Integration, Change of Order of Integration, Important results when region is rectangular, Areas, and related Topics.
Introduction to Iterated Integrals, Region of Integration, Change of Order of Integration, Important results when region is rectangular, Areas, and other topics.
Double Integrals, Triple Integrals, Solving a Triple Integral, Change of variables in Double and Triple Integrals, Finding the new Region after change of variables, Areas using Polar Curves, and other topics.
Volumes using Double Integral, Volumes Using Triple Integral, Typical Problems related to Volumes, Mass of a Solid and a Plane Lamina, and other topics.
Mean Value, RMS Value, Centre of Gravity, Moment of Inertia, and other topics.
Introduction to DE, Ordinary DE, Partial DE, Order, Degree, Formation of DE, Variable Separable DE, Concept of Particular and General Solution, Solving by Substitution, and other topics.
Homogeneous DE, Type dy/dx=(a1x+b1y+c1)/(a2x+b2y+c2), Type dy/dx=[K1(ax+by)+c1]/[K2(ax+by)+c2], and other topics.
First Order Linear DE, Solution of First Order Linear DE, DE of type f'(y)dy/dx + P(x)f(y) = Q(x), Bernoulli's Equation, and other topics.
Exact DE and Concept of Potential Function, Test for Exactness, Types of DEs Reducible to Exact form, and other topics.