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: ME
- 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
- Leibnitz Test for Alternating Series
- Absolute Convergence
- Conditional Convergence
Unit 2: FOURIER SERIES
- Euler's Formulae for Fourier Series
- Sufficient Conditions for Fourier Expansion
- Fourier Series of Functions Having Points of Discontinuity
- Odd Functions
- Even Functions
- Fourier Expansion of Periodic Functions
- Half Range Sine Series
- Half Range Cosine Series
- Parseval's Identity
- Complex Form of Fourier Series
Unit 3: DIFFERENTIAL EQUATIONS
- First Order and First Degree Differential Equations
- Linear Differential Equations
- Bernoulli's Differential Equations
- Exact Differential Equations
- Non-Exact Differential Equations
- Higher Order Linear Differential Equations
- Complementary Solution
- Particular Integral
- General Solution of Higher Order Linear Differential Equations
Unit 4: ADVANCED ORDINARY DIFFERENTIAL EQUATIONS
Unit 5: PARTIAL DIFFERENTIAL EQUATIONS
- First Order Linear Partial Differential Equations
- Non-Linear Partial Differential Equations of First Order
- Charpit's Method
- Standard Form f(p,q)=0
- Standard Form f(z,p,q)=0
- Standard Form f(x,p)=g(y,q)
- Clairaut's Form
- Homogeneous Higher Order Linear PDE with Constant Coefficients
- Non-Homogeneous Higher Order Linear PDE with Constant Coefficients
- Rules for Finding Complementary Function
- Rules for Finding Particular Integral
- Non-Linear Equations of Second Order