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: BST1201
- University: Government College of Engineering and Technology, Jammu
- Course: BE (2022 onwards)
- Branch: CE
- 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 Fourier Expansion
- Fourier Series of Functions with Points of Discontinuity
- Change of Intervals
- Odd and Even Functions
- Fourier Expansion of Odd Functions
- Fourier Expansion of Even Functions
- Half Range Series
- Typical Waveforms
- Parseval's Formula
- 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
- Variation of Parameters
Unit 4: 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 PDEs
- Non-Homogeneous Higher Order Linear PDEs
- Rules for Finding Complementary Function
- Rules for Finding Particular Integral
- Non-Linear Equations of Second Order