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It starts with a review of complex numbers, and then focuses on applications of De Moivre’s theorem, special class of exponential functions called hyperbolic functions, inverse hyperbolic functions, and logarithm of complex numbers. Subsequent chapters are devoted to successive differentiation, matrices, general properties of partial differentiation, composite functions, implicit functions, and homogeneous functions, formation of Taylor’s and Maclaurin’s expansions of certain classes of functions, and indeterminate forms. It further discusses numerical methods for the solution of transcendental and linear algebraic equations and comes with appendices on Lagrange's method of undetermined multipliers and Gauss-Jordan Method. In addition, the book also introduces Scilab programming techniques for solving numerical problems. The book aims at providing application-based learning with ample number of solved problems, exercises, and exam questions which also help students to familiarize themselves with the pattern of the semester-end university examination.