For B.E./ B.Tech/B.Arch. Students for first semester of all Engineering Colleges of Uttrakhand, Dehradun (Unified Syllabus). As per the syllabus 2006-07 and onwards. The subject matter is presented in a very systematic and logical manner. The book contains fairly large number of solved examples from question papers of examinations recently conducted by different universities and Engineering Colleges. Question Papers 2009-2010,2008-2009 ad=nd 2007-2008 are solved and included. More than 600 objective type questions are added in this edition.
•Useful Results •Unit – I: Matrices •Algebra Of Matrices •Rank Of Matrix •Solution Of Simultaneous Equations •Eigen Values & Eigen Vectors •Unit Ii: Differential Calculus – I •Ordinary Differentiation And Leibnitz’S Theorem •Unit Iii : Differential Calculus – Ii •Partial Differentiation •Total Differentiation •Expansion Of Function Of Several Variables •Jacobians •Errors •Extrema Of Function Of Several Variables •Curve Tracing •Unit – Iv : Multiple Integrals •Double Integrals •Triple Integral •Gamma, Beta Functions, Differentiation Under The Integral Sign •Unit – V : Vector Calculus •Vector Differentiation •Vector Integration •Question Papers •Index
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