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Give Me 10 Hours, I will Make You Master In Differential, Integral and Vector Calculus
An excellent training about Math
Calculus-That Will Break Your Fear
This course has detailed explanation of following Topics: Partial Derivatives: Partial and Total Derivatives ( Chain rule), Homogeneous functions, Euler’s Theorem, Maxima and Minima for a function of One variable, Two variables and Three variables. Mean value theorems: Continuity of a function at a particular value and in a closed interval, Differentiability of a function in an open interval, Roll’s theorem, Legrange’s Mean value theorem, Cauchy’s Mean value theorem, Taylor’s theorem ( Generalized Mean value theorem. Definite and Improper Definite Integrals: Properties of Definite Integrals, Convergence and Divergence, Comparison Test, P-Series Test, Integral test, Gamma and Beta functions. Limits: Limits definition, Indeterminate forms of Limits. Vector Calculus: Basics of Vector Algebra, Dot ( Scalar ) Product, Cross ( Vector )Product, Scalar Triple Product, Vector Triple Product, Application of Partial Derivatives on Vectors: Gradient, Directional Derivative( d,d ), Unit normal, Divergence, Solenoidal vector, Curl or Rotation, Irrotational or Conservative Force Field. Multiple Integrals: Line integrals, Work done, Surface Integrals, Double Integrals evaluation Techniques, Volume Integrals, Triple Integrals evaluation techniques. Vector Integral Theorems: Green’s Theorem, Stoke’s Theorem and Gauss – Divergence Theorem
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