The book has been thoroughly revised and updated strictly according to the modified syllabus of B.Tech. II year and III year prescribed by Punjab Technical University. The book exactly covers the syllabus of Engineering Mathematics–III (BTAM-301) and Mathematics–III [BTAM-500 (V Sem. Mechanical Engg.), AM–201 (III Sem. Aero space Engg., Aeronautical Engg. and IV Sem. Chemical Engg.), BTAR–301 (III Sem. Automation and Robotics Engg.)]. For this, the book has been divided into six units in such a way that it satisfies all the requirements of readers appreciably. The chief objective is to benefit the students of all disciplines/branches of the University. The questions asked in the recent University examinations have been incorporated at the proper places. Separate assignments containing short answer type two marks questions for Section–A of the question paper have been given at the end of each unit. Previous years Question papers have been appended at the last. All the answers of the assignments have been checked and verified. We hope that this book will prove to be a milestone in achieving success for all students and readers. We wish them brilliant success and golden future.
Additional Info
  • Publisher: Laxmi Publications
  • Language: English
  • ISBN : 978-81-318-0803-0
  • Chapter 1

    Fourier series Price 2.99  |  2.99 Rewards Points

    Periodic functions, Euler’s formula. Even and odd functions, half range expansions, Fourier series of different waveforms.
  • Chapter 2

    Laplace transforms Price 2.99  |  2.99 Rewards Points

    Laplace transforms of various standard functions, properties of Laplace transforms, inverse Laplace transforms, transform of derivatives and integrals, Laplace transform of unit step function, impulse function, periodic functions, applications to solution of ordinary linear differential equations with constant coefficients, and simultaneous differential equations.
  • Chapter 3

    Special functions Price 2.99  |  2.99 Rewards Points

    Power series solution of differential equations, Frobenius method, Legendre’s equation, Legendre polynomial, Bessel’s equation, Bessel functions of the first and second kind. Recurrence relations, equations reducible to Bessel’s equation.
  • Chapter 4

    Partial differential equations Price 2.99  |  2.99 Rewards Points

    Formation of partial differential equations, Linear partial differential equations, homogeneous partial differential equations with constant coefficients.
  • Chapter 5

    Applications of pdes Price 2.99  |  2.99 Rewards Points

    Wave equation and Heat conduction equation in one dimension. Two dimensional Laplace equation in Cartesian Coordinates, solution by the method of separation of variables.
  • Chapter 6

    Functions of complex variable Price 2.99  |  2.99 Rewards Points

    Limits, continuity and derivative of the function of complex variable, Analytic function, Cauchy-Riemann equations, conjugate functions, harmonic functions; Conformal Mapping: Definition, standard transformations, translation, rotation, inversion, bilinear. Complex Integration: Line integrals in the complex plane, Cauchy’s theorem, Cauchy’s integral formula and derivatives of analytic function. Taylor’s and Laurent’s expansions (without proofs), singular points, poles, residue, Integration of function of complex variables using the method of residues.

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