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).
Infinite series, Fourier series, ordinary differential equations and partial differential equations.
- Subject code: BMAT21
- University: Government College of Engineering and Technology, Jammu
- Course: B.Tech (2025 onwards)
- Branch: Civil
- Semester: 2
ENGINEERING MATHEMATICS-II syllabus
Unit 1: INFINITE SERIES
- Convergence and divergence of positive term series
- p-test
- Comparison Test
- Cauchy Root Test
- D'Alembert Ratio Test
- Raabe's Test
- Gauss Test
- Logarithmic Test
- Alternating series
- Leibnitz Test for alternating series
- Absolute and conditional convergence
- Fourier Series
- Euler's formula
- Sufficient conditions for a Fourier expansion
- Functions having points of discontinuity
- Odd and even functions
- Fourier expansion of periodic functions
- Half Range Fourier Series
- Half range Sine Series
- Half range Cosine Series
- Parseval's identity
- Complex form of Fourier series
Unit 2: DIFFERENTIAL EQUATIONS
- First order and first degree
- Linear differential equations
- Bernoulli's differential equations
- Exact and non-exact differential equations
- Higher order linear differential equations
- Complementary solution
- Particular integral
- General solution of these equations
- Vcariation of parameters technique
- Cauchy_Euler differential equations
- Lagrange's differential equations
- First order linear p.d.e
- Non-Linear p.d.e. of first order
- Solution by Charpit's method
- f(p, q)=0
- f(z, p, q)=0
- f(x, p)=g(y, q)
- Clauraut's form
- Homogeneous higher order linear partial differential equations with constant coefficients
- Non-homogeneous higher order linear partial differential equations with constant coefficients
- Rules for finding P.I and C.F
- Non-Linear equations of 2nd order