**Chhattisgarh Swami Vivekanand Technical University Bhilai (C.G.)**

**Semester: IInd Branch: Common to All Branches**

**Subject: Applied Mathematics-II Code: 300214 (14)**

**UNIT – I**

Complex Numbers: De Moivre’s theorem, roots of complex numbers; separtion into real & imaginary parts of circular, hyperbolic, logarithmic & exponential function; summation of trigonometric series by C+iS method.

**UNIT – II**

Differential Equations of higher order: Linear differential equations of higher order with constant coefficients, method of variation of parameters; Cauchy’s & Legendre’s linerar equations; simultaneous linear equations with constant coefficients.

**UNIT – III**

Multiple Integrals: Double & triple integrals, change of order of integration; Beta & Gamma functions; application to area & volume.

**UNIT – IV**

Vector Calculus: Vector operator ; directional derivative, gradient, divergence & curl; line, surface & volume integrals, Green’s, Gauss’s & Stoke’s theorem (without proof) & applications.

**UNIT – V**

Theory of Equations: Roots of polynomial equations, relations between roots and coefficients; transformation of equations, removal of terms; solution of cubic & biquadratic equatins-Cardon’s & Ferrari’s methods.

**TEXT BOOKS:**

1. Higher Engg. Mathematics by B.S. Grewal (38th edition)-Khanna Publishers.

2. Advanced Engg. Mathematics by Erwin Kreyszig (8th edition) – John Wiley & Sons.

**REFERNECE BOOKS:**

1. Higher algebra by H.S. Hall & S.R. Knight – A.I.T.B.S. Publishers.

2. Integral Calculus by Gorakh Prasad – Pothishala Private Limited.

3. Advanced Engg. Mathematics by R.K. Jain & S.R.K. Iyengar – Narosa Publishing House.

4. Applied Mathematics by P.N. Wartikar & J.N. Wartikar Vol. (I&II) – Pune Vidhyarthi Griha Prakashan, Pune.

5. Applied mathematics for Engineers & Physicists by Louis A. Pipes – Mc Graw Hill.