The book "Introduction to Engineering Mathematics II" has been conceptualized specifically according to the New Syllabus (2022 onwards) of A. P. J. Abdul Kalam Technical University (APJAKTU), Lucknow. It covers important topics such as Linear Differential Equations of nth Order with Constant Coefficients, Second Order Linear Differential Equations with Variable Coefficients, Method of Variation of Parameters, Cauchy-Euler Equation, Applications of Differential Equations in Solving Engineering Problems, Laplace Transform and Properties, Sequence and Series, Tests for Convergence of Series, Fourier Series, Functions of Complex Variable, Harmonic Function & Milne's Thompson Method, Conformal Mapping, Taylor's and Laurent's Series, Residue Theorem and Applications etc. for sound conceptual understanding of students. Latest Question papers have been solved and included in the book. Also, short questions have been added at the end of each chapter for better preparation of examinations.

Unit-1: Ordinary Differential Equations of Higher Order
1. Linear Differential Equations of nth Order with Constant Coefficients
2. Simultaneous Linear Differential Equations
3. Second Order Linear Differential Equations with Variable Coefficients
4. Method of Variation of Parameters
5. Cauchy-Euler Equation
6. Applications of Differential Equations in Solving Engineering Problems

Unit 2: Laplace Transform
7. Laplace Transform and Properties
8. Inverse Laplace Transform)
9. Laplace Transform to Solve Ordinary and Simultaneous Differential Equations

Unit-3: Sequence and Series
10. Sequence and Series
11. Tests for Convergence of Series
12. Fourier Series

Unit-4: Complex Variable-Differentiation
13. Functions of Complex Variable
14. Harmonic Function & Milne's Thompson Method
15. Conformal Mapping
16. Mobius Transformation and their Properties

Unit-5: Complex Variable-Integration
17. Complex Integration
18. Taylor's and Laurent's Series
19. Residue Theorem and Applications

Questions from Latest Examination Papers
Index