![]() Pathway, symmetric, and asymmetric models are covered in chapter six, the concepts are illustrated with graphs. General linear models from a statistical point of view are introduced the Gauss–Markov theorem, quadratic forms, and generalized inverses of matrices are covered. The random walk model, branching process model, birth and death process model, time series models, and regression type models are examined. Chapter four covers non-deterministic/stochastic models. Fractional integral and derivative models are examined. Chapter three discusses deterministic/mathematical and optimization models evolving from differential equations, difference equations, algebraic models, power function models, input-output models and pathway models. Illustrative examples, input-output process, optimal recovery of functions and approximations are given each section lists an ample number of exercises to heighten understanding of the material. Multivariable calculus is covered in the second chapter and introduces the fundamentals of multivariable calculus (multivariable functions, limits and continuity, differentiability, directional derivatives and expansions of multivariable functions). The first chapter begins with an introduction to fractional calculus moving on to discuss fractional integrals, fractional derivatives, fractional differential equations and their solutions. Researchers, advanced undergraduate, and graduate students in mathematics, statistics, physics, engineering, and biological sciences will find this book to be a valuable resource for finding appropriate models to describe real-life situations. This comprehensive overview is based on lectures given at five SERC Schools from 2008 to 2012 and covers a broad range of topics that will enable readers to understand and create deterministic and nondeterministic models. Velocity, acceleration - Kepler's second lawĭivergence theorem (cont.This textbook presents a rigorous approach to multivariable calculus in the context of model building and optimization problems. Vectors ( Note: Video is not available for this topic.) ![]() Line integrals in space, curl, exactness and potentials Vector fields in 3D surface integrals and fluxĭivergence theorem (cont.): applications and proof Triple integrals in rectangular and cylindrical coordinates Triple integrals and surface integrals in 3-space Force, displacement, velocity, and acceleration are. Path independence and conservative fields In engineering and the physical sciences, a vector is any quantity possessing both magnitude and direction. Vector fields and line integrals in the plane Double integrals and line integrals in the planeĭouble integrals in polar coordinates applications ![]() Gradient directional derivative tangent plane Second derivative test boundaries and infinity Level curves partial derivatives tangent plane approximation Parametric equations for lines and curves Then enter your subject and press enter key then you can find all of your lectures notes and click on it. It is better to search your subject notes by clicking on search button which is present at middle of right side of this web page. After clicking immediately you find all the notes ppt/pdf/html/video of your searching subjects. To find your notes quickly please see the contents on the right hand side of this page which is alphabetically arranged and right click on it. if you have any good class notes/lecture slides in ppt or pdf or html format then please you upload these files to e and send us links or all files by our email address on. I will must consider your comments only within 1-2 days. If you face any problem in downloading or if you find any link not correctly work or if you have any idea to improve this blog/site or if you find any written mistake or you think some subjects notes should be include then give your suggestion as comment by clicking on comment link bellow the post (bottom of page) or email us in this address on. ![]() Please click bellow to download ppt slides/ pdf notes. If you find any copyrighted slides or notes then please inform me immediately by comments or email as following address. Also it is difficult to find popular authoress or books slides with free of cost. Because we always face that we lose much time by searching in Google or yahoo like search engines to find or downloading a good lecture notes in our subject area with free. Our subjective is to help students to find all engineering notes with different lectures PowerPoint slides in ppt ,pdf or html file at one place. It is a collection of lectures notes not ours. Special software is required to use some of the files in this course.
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