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Engineering mathematics
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This is a complete college textbook, including a detailed Table of Contents, seventeen Chapters (each with a set of relevant homework problems), a list of References, two Appendices, and a detailed Index. The book is intended to enable students to: Solve first, second, and higherorder, linear, timeinvariant (LTI) ordinary differential equations (ODEs) with initial conditions and excitation, using both timedomain and Laplacetransform methods; Solve for the frequency response of an LTI system to periodic sinusoidal excitation and plot this response in standard form; Explain the role of the time constant in the response of a firstorder LTI system, and the roles of natural frequency, damping ratio, and resonance in the response of a secondorder LTI system; Derive and analyze mathematical models (ODEs) of loworder mechanical systems, both translational and rotational, that are composed of inertial elements, spring elements, and damping devices; Derive and analyze mathematical models (ODEs) of loworder electrical circuits composed of resistors, capacitors, inductors, and operational amplifiers; Derive (from ODEs) and manipulate Laplace transfer functions and block diagrams representing outputtoinput relationships of discrete elements and of systems; Define and evaluate stability for an LTI system; Explain proportional, integral, and derivative types of feedback control for singleinput, singleoutput (SISO), LTI systems; Sketch the locus of characteristic values, as a control parameter varies, for a feedbackcontrolled SISO, LTI system; Use MATLAB as a tool to study the time and frequency responses of LTI systems. The book's general organization is: Chapters 110 deal primarily with the ODEs and behaviors of firstorder and secondorder dynamic systems; Chapters 11 and 12 discuss the ODEs and behaviors of mechanical systems having two degrees of freedom, i.e., fourthorder systems; Chapters 13 and 14 introduce classical feedback control; Chapter 15 presents the basic features of proportional, integral, and derivative types of classical control; Chapters 16 and 17 discuss methods for analyzing the stability of classical control systems. The general minimum prerequisite for understanding this book is the intellectual maturity of a juniorlevel (thirdyear) college student in an accredited fouryear engineering curriculum. A mathematical secondorder system is represented in this book primarily by a single secondorder ODE, not in the statespace form by a pair of coupled firstorder ODEs. Similarly, a twodegreesoffreedom (fourthorder) system is represented by two coupled secondorder ODEs, not in the statespace form by four coupled firstorder ODEs. The book does not use bond graph modeling, the general and powerful, but complicated, modern tool for analysis of complex, multidisciplinary dynamic systems. The homework problems at the ends of chapters are very important to the learning objectives, so the author attempted to compose problems of practical interest and to make the problem statements as clear, correct, and unambiguous as possible. A major focus of the book is computer calculation of system characteristics and responses and graphical display of results, with use of basic (not advanced) MATLAB commands and programs. The book includes many examples and homework problems relevant to aerospace engineering, among which are rolling dynamics of flight vehicles, spacecraft actuators, aerospace motion sensors, and aeroelasticity. There are also several examples and homework problems illustrating and validating theory by using measured data to identify first and secondorder system dynamic characteristics based on mathematical models (e.g., time constants and natural frequencies), and system basic properties (e.g., mass, stiffness, and damping). Applications of real and simulated experimental data appear in many homework problems. The book contains somewhat more material than can be covered during a single standard college semester, so an instructor who wishes to use this as a onesemester course textbook should not attempt to cover the entire book, but instead should cover only those parts that are most relevant to the course objectives.
 Keywords:
 Differential equations Engineering mathematics Differential equations Partial Textbooks
 Resource Type:
 ebook

Video
Engineering Mathematics tutorial series covers aspects of applied mathematics including: multivariable calculus; vector field theory; differential equations; Laplace transforms and Fourier series.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Engineering mathematics
 Resource Type:
 Video

ebook
A Brief Introduction to Engineering Computation with MATLAB is specifically designed for students with no programming experience. However, students are expected to be proficient in First Year Mathematics and Sciences and access to good reference books are highly recommended. Students are assumed to have a working knowledge of the Mac OS X or Microsoft Windows operating systems. The strategic goal of the course and book is to provide learners with an appreciation for the role computation plays in solving engineering problems. MATLAB specific skills that students are expected to be proficient at are: write scripts to solve engineering problems including interpolation, numerical integration and regression analysis, plot graphs to visualize, analyze and present numerical data, and publish reports.
 Subjects:
 Mechanical Engineering and Computing
 Keywords:
 MATLAB Engineering mathematics
 Resource Type:
 ebook