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.