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 with applications to engineering problems.
- Subject code: BMAT21
- University: Government College of Engineering and Technology, Jammu
- Course: B.Tech (2025 onwards)
- Branch: EE
- Semester: 2
ENGINEERING MATHEMATICS-II syllabus
Unit 1: INFINITE SERIES AND FOURIER SERIES
- Convergence and Divergence of Positive Term Series
- p-Test
- Comparison Test
- Cauchy's Root Test
- D'Alembert's Ratio Test
- Raabe's Test
- Gauss Test
- Logarithmic Test
- Alternating Series
- Leibnitz Test for Alternating Series
- Absolute Convergence
- Conditional Convergence
- Euler's Formula for Fourier Series
- Sufficient Conditions for Fourier Expansion
- Fourier Series of Functions Having Points of Discontinuity
- Fourier Series of Odd Functions
- Fourier Series of Even Functions
- Fourier Expansion of Periodic Functions
Unit 2: HALF RANGE AND COMPLEX FOURIER SERIES
- Half Range Fourier Series
- Half Range Sine Series
- Half Range Cosine Series
- Parseval's Identity
- Complex Form of Fourier Series
Unit 3: ORDINARY 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
Unit 4: SPECIAL TECHNIQUES AND DIFFERENTIAL EQUATIONS
- Variation of Parameters
- Cauchy-Euler Differential Equations
- Lagrange's 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