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# Introduction to Engineering Mathematics Volume-I (For APJAKTU, Lucknow), 10/e

## H K Dass, Rajnish Verma & Dr. Rama Verma

 ISBN : 9789352834075 Pages : 712 Binding : Paperback Language : English Imprint : S. Chand Publishing Trim size : 6.75 X 9.5 inches Weight : 0.50kg © year : 2018
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 Introduction to Engineering Mathematics Volume-I has been thoroughly revised according to the New Syllabi (2018 onwards) of Dr. A.P.J. Abdul Kalam Technical University (AKTU, Lucknow). The book contains 19 chapters divided among five sections - Differential Calculus- I, Differential Calculus- II, Matrices, Multivariable calculus- I and Vector calculus. It contains good number of solved examples from question papers of examinations recently held by different universities and engineering colleges so that the students may not find any difficulty while answering these problems in their final examination. • Very short questions of 2 Marks have been added at the end of each chapters for better preparation of concepts. • Latest Solved Question Papers have been solved and included in the textbook.  Unit-I: Differential Calculus-I 1. Complex Variable, 2. Leibnitz's Theorem and its Application, 3. Envelopes, 4. Curve Tracing (Cartesian and Polar Coordinates),  Unit-II: Differential Calculus-II 5. Partial Differentiation, 6. Taylor's and Maclaurin's Theorems, 7. Extrema of Functions of Several Variables, Lagrange's Method of Multipliers, 8. Jacobians, 9. Approximation of Errors Unit-III: Matrices 10. Inverse of a Matrix by Elementary Transformation, 11. Rank of Matrix, 12. Linear Dependence, Consistency of Linear System of Equations and their Solution, 13. Characteristic Equation, Eigen Values, Eigen Vectors, Cayley Hamilton Theorem Unit-IV: Multivariable Calculus-I 14. Double Integrals, 15. Change of Order and Change of Variable, 16. Area and Volume, 17. Triple Integration,  Unit-V: Vector Calculus 18. Vector Differentiation (Point Function, Gradient, Divergence and Curl of a Vector and Their Physical Interpretations), 19. Numerical Integration • Solved Question Papers • Solved Question Paper 2014 MTU • Solved Question Paper 2014 GBTU • Solved Question Papers 2014-15 UPTU • Index

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