#1
March 18th, 2017, 08:29 AM
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PTU Maths 2 Question Papers
I recently took admission in I.K. Gujral Punjab Techncial University for doing B.Tech degree searching for some subject syllabus and papers. Can you provide me PTU Maths 2 Question Papers or syllabus so that I can prepare well for university exam also provide some topics?
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#2
March 18th, 2017, 09:36 AM
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Re: PTU Maths 2 Question Papers
I.K.Gujral Punjab Technical University (PTU) was established by an Act of State Legislature on 16th January, 1997 ![]() ![]() Some topics to study: UNIT I ORDINARY DIFFERENTIAL EQUATIONS Higher order linear differential equations with constant coefficients – Method of variation of parameters – Cauchy’s and Legendre’s linear equations – Simultaneous first order linear equations with constant coefficients. UNIT II VECTOR CALCULUS Gradient Divergence and Curl – Directional derivative – Irrotational and solenoidal vector fields– Vector integration – Green’s theorem in a plane, Gauss divergence theorem and stokes’theorem (excluding proofs) – Simple applications involving cubes and rectangular parallelpipeds. UNIT III ANALYTIC FUNCTIONS Functions of a complex variable – Analytic functions – Necessary conditions, Cauchy – Riemann equation and Sufficient conditions (excluding proofs) – Harmonic and orthogonal properties of analytic function – Harmonic conjugate – Construction of analytic functions – Conformal mapping : w= z+c, cz, 1/z, and bilinear transformation. UNIT IV COMPLEX INTEGRATION Complex integration – Statement and applications of Cauchy’s integral theorem and Cauchy’s integral formula – Taylor and Laurent expansions – Singular points – Residues – Residue theorem – Application of residue theorem to evaluate real integrals – Unit circle and semicircular contour(excluding poles on boundaries). UNIT V LAPLACE TRANSFORM Laplace transform – Conditions for existence – Transform of elementary functions – Basic properties – Transform of derivatives and integrals – Transform of unit step function and impulse functions – Transform of periodic functions. Definition of Inverse Laplace transform as contour integral – Convolution theorem (excluding proof) – Initial and Final value theorems – Solution of linear ODE of second order with constant coefficients using Laplace transformation techniques. As question papers were not available below I am providing you the PTU Maths 2 Syllabus: Contact: Registrar I.K. Gujral Punjab Techncial University, Near Pushpa Gujral Science City, Ibban, Kapurthala-144603, Distt. Kapurthala, India E-mail: registrar@ptu.ac.in Phone: 01822-662533,35,82 |
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