ENGINEERING MATHEMATICS-II Syllabus — Government College of Engineeri…
Full syllabus, topics and curated resources for ENGINEERING MATHEMATICS-II (Government College of Engineering and Technology, Jammu).
Study of infinite series, Fourier series, ordinary differential equations, and partial differential equations with emphasis on analytical solution techniques.
- Subject code: BST1201
- University: Government College of Engineering and Technology, Jammu
- Course: BE (2022 onwards)
- Branch: ECE
- Semester: 2
ENGINEERING MATHEMATICS-II syllabus
Unit 1: INTRODUCTION TO INFINITE SERIES
- Convergence and divergence of a Series
- p-test
- Comparison Test
- Cauchy Root Test
- D'Alembert Ratio Test
- Raabe's Test
- Gauss Test
- Logarithmic Test
- Leibnitz Test for alternating series
Unit 2: FOURIER SERIES
- Euler's formula
- sufficient conditions for a Fourier expansion
- functions having points of discontinuity
- change of intervals
- Odd and even functions
- Fourier expansion of Odd and even periodic functions
- half range series
- typical wave forms
- Parseval's formula
- complex form of Fourier-series
Unit 3: ORDINARY DIFFERENTIAL EQUATIONS
- Differential equations of first order and first degree
- Linear and Bernoulli's differential equations
- Exact and non-exact differential equations
- Higher order linear differential equations
- Complementary solution
- particular integral
- general solution of these equations
- variation of parameters technique to find particular integral of second order differential equations
Unit 4: PARTIAL DIFFERENTIAL EQUATIONS
- First order linear p.d.e
- Non-Linear p.d.e. of 1st order
- solution by Charpit's method
- Four Standard forms of non-linear p.d.e with reference to Charpit's technique: f(p, q) = 0
- Four Standard forms of non-linear p.d.e with reference to Charpit's technique: f(z, p, q) = 0
- Four Standard forms of non-linear p.d.e with reference to Charpit's technique: f(x, p) = g(y, q)
- Four Standard forms of non-linear p.d.e with reference to Charpit's technique: Clairaut's form
- Homogeneous and Nonhomogeneous higher order linear partial differential equations with constant coefficients
- Rules for finding P.I and C.F
- Non-Linear equations of 2nd order