Course Name: Engineering Mathematics - I

Course abstract

This course is about the basic mathematics that is fundamental and essential component in all streams of undergraduate studies in sciences and engineering. The course consists of topics in differential calculus, integral calculus, linear algebra and differential equations with applications to various engineering problems. This course will cover the following main topics: Mean Value Theorems Indeterminate Forms Taylors and Maclaurins Theorems. Partial Derivatives Differentiability Taylors Expansion of Functions of Several Variables. Maxima and Minima Improper Integrals. Differentiation under Integral Sign (Leibnitz rule). Multiple Integrals and their Properties. Applications of Multiple Integrals System of Linear Equations. Vector Spaces; Basis and Dimension of a Vector Space. Rank of a Matrix and its Properties. Linear Transformation. Eigenvalues and Eigenvectors. Diagonalization First Order Differential Equations. Higher Order Differential Equations with Constant Coefficients. Cauchy-Euler Equations. System of Differential Equations

Course Instructor

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Prof. Jitendra Kumar

Jitendra Kumar is an Associate Professor at the Department of Mathematics, IIT Kharagpur. He completed his M.Sc. in Industrial Mathematics from IIT Roorkee and Technical University of Kaiserslautern, Germany in 2001 and 2003, respectively. He received his PhD degree in 2006 from Otto-von-Guericke University Magdeburg, Germany. He was Research Associate at the Institute for Analysis and Numerical Mathematics, Otto-von-Guericke University Magdeburg, Germany from 2006 to 2009. His research interests include Numerical Solutions of Integro-Differential Equations and numerical analysis.
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Teaching Assistant(s)

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 Course Duration : Jan-Apr 2019

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 Enrollment : 15-Nov-2018 to 28-Jan-2019

 Exam registration : 28-Jan-2019 to 19-Apr-2019

 Exam Date : 27-Apr-2019, 27-Apr-2019