Mathematics-II
The complete RGPV syllabus for Mathematics-II (BT202), the second-semester course common to all B.Tech branches under the AICTE Flexible Curricula — ordinary and partial differential equations, functions of a complex variable, and vector calculus.
Engineering Mathematics-II
by Dr. D.C. Agarwal · ₹490 — covers this full RGPV syllabus.
Course contents — unit by unit
Unit 1 · Ordinary Differential Equations – I
Differential equations of first order and first degree (Leibnitz linear, Bernoulli's, exact); first order and higher degree; higher-order differential equations with constant coefficients; homogeneous linear differential equations; simultaneous differential equations.
Unit 2 · Ordinary Differential Equations – II
Second-order linear differential equations with variable coefficients, method of variation of parameters, power-series solutions; Legendre polynomials, Bessel functions of the first kind and their properties.
Unit 3 · Partial Differential Equations
Formulation of partial differential equations; linear and non-linear PDEs; homogeneous linear PDEs with constant coefficients.
Unit 4 · Functions of a Complex Variable
Analytic functions, harmonic conjugate, Cauchy-Riemann equations, line integral, Cauchy-Goursat theorem, Cauchy integral formula, singular points, poles and residues, residue theorem and its application to the evaluation of real integrals (unit circle).
Unit 5 · Vector Calculus
Differentiation of vectors, scalar and vector point functions, gradient and its geometrical meaning, directional derivative, divergence and curl, line, surface and volume integrals; Gauss divergence, Stokes and Green theorems.