A Textbook of Engineering Mathematics For UTU (Volume - II)

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A Textbook of Engineering Mathematics is a three-volume text catering to the requirements of the three-semester compulsory undergraduate course on Engineering Mathematics offered by Uttarakhand Technical University. Adapted from Peter O'Neil's Advanced Engineering Mathematics, these semester-specific volumes cover all topics delineated in the UTU syllabus and make ideal textbooks for all undergraduate engineering students. A Textbook of Engineering Mathematics, Volume II serves as a textbook for Semester II of the course on Engineering Mathematics. Beginning with differential equations and their applications, the book goes on to cover Laplace transforms and inverse Laplace transforms, and infinite series, Fourier series, and partial differential equations. The last two chapters of the book are devoted to wave equation and heat equation and their applications to different branches of engineering and technology. The text is supplemented by pedagogical features such as illustrations, boxed material highlighting important theorems and definitions, solved examples, and a large database of exercises. Lucid explanation of concepts and a simplistic approach to problem solving make for a complete undergraduate textbook. Key Features Conforms exactly to the pattern of the syllabus for the first semester Engineering Mathematics course offered by UPTU Incorporates a large number of solved and unsolved problems for each topic Elucidates all basic concepts with the aid of pedagogical features such as illustrations, definitions, and examples for easy and clear understanding Includes question papers from previous years examinations About The Author Peter V. O'Neil has more than 42 years of experience teaching mathematics to undergraduate and graduate students. For the last 30 years he has been Professor of Mathematics in the University of Alabama at Birmingham. A PhD in mathematics from Aligarh Muslim University, Santosh K. Sengar has been involved in teaching and research for over ten years. He is currently Assistant Professor in Indraprastha Engineering College, Ghaziabad (affiliated to UPTU). He has contributed several papers in national and international journals. His areas of research interest include non-linear analysis (metric fixed-point theory), differential equations, numerical analysis, and graph theory. Table Of Contents UNIT I: Differenetial Equations 1. First-Order Differential Equations 2. Linear Differential Equations (n-th order) with Constant Coefficients 3. Differential Equations of Other Types 4. Applications of Differential Equations UNIT II: Laplace Transformations 5. Laplace Transforms and Inverse Laplace Transforms UNIT III: Infinite Series 6. Infinite Series UNIT IV: Fourier Series and Partial Differential Equations 7. Fourier Series 8. Partial Differential Equations UNIT V: Applications of Partial Differential Equations 9. Wave Equation Appendix A Practical Harmonic Analysis Index