The author has endeavoured to present the fundamental concepts of mathematics in a comprehensive and lucid manner. An outstanding and distinguishing feature of the book is the large number of typical solved examples followed by well graded exercises for practice. Many examples and problems have been selected from recent papers (2000 onwards) of various engineering examinations. The book is strictly in accordance with the latest syllabi. About The N.P. Bali is a prolific author of over 100 books for degree and engineering students.He has been writing books for more than forty years. His books on the following topics are well known for their easy comprehension and lucid Algebra, Trigonometry, Differential Calculus, Integral Calculus, Real Analysis, Co-ordinate Geometry, Statics, Dynamics etc. Table Of SECTION A (Vector Calculus) 1.?? Vector Calculus (Not for K.U.K.) 2.?? Matrices and its Applications (Not for M.D.U.) SECTION B (Ordinary Differential Equations and its Applications) 3.?? Exact Differential Equations 4.?? Applications of Differential Equations of First Order and First Degree 5.?? Linear Differential Equations 6.?? Applications of Linear Differential Equations SECTION C (Laplace Transforms and its Applications) 7.?? Laplace Transforms and its Applications SECTION D (Partial Differential Equations and its Applications) 8.?? Partial Differential Equations 9.?? Applications of Partial Differential Equations Engineering and Technology,Engineering Mat