Jitendra Kumar is an Associate Professor at the Department of Mathematics, IIT Kharagpur. Outcomes: In this lectures, we will discuss about basic concepts on D.E in detail and its properties which will need to solve and and form a differential equations and able to eliminate the constants form a differential equation. The aim is to equip them with the techniques to understand advanced level mathematics and its course for CSE students. Section O4: Class recording Lect. during his Ph.D. research. His research interests include Numerical solutions of integro-differential equations, numerical analysis and modelling and simulations of problem in particulate systems. Lecture 01: Rolle’s Theorem; Lecture 02: Mean Value Theorems; Lecture 03:Indeterminate Forms … He completed his M.Sc. The editing is poor, parts are missing and the faculty's method of teaching is not good. Analytic functions and CR equations. He received his PhD degree in 2006 from Otto-von-Guericke University Magdeburg, Germany. HAPPY LEARNING !! Order & Degree of differential equations. Basic engineering knowledge & Mathematics as one of the subjects in academics. ), Lecture 14 : Differentiability of Functions of Two Variables (Cont. Differential Equations is known as one of the, mathematical course. He also worked about 3 years at different university before joining at DIU. Line, Cauchy’s integral theorem, Power series, radius of convergence. 7 (05-10-20). The Laplace transform is usually restricted to transformation of functions of t with t ≥ 0. Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm. He presented many research papers in Japan, Canada, United States, etc. This course will cover the following main topics.Function of complex variables. The course assessment are based on the following: Outcomes: In this lecture, the learners will intended to know about the course and the basic concepts of Differential Equations (D.E. Because such relations are extremely common, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology. Key info for prospective students including uni course requirements & course reviews. While the Fourier transform of a function is a complex function of a real variable (frequency), the Laplace transform of a function is a complex function of a complex variable. The whole curriculum content is broken down into small units so that Laplace Transformations: Definition and Properties of Laplace Transformations, Fundamental formula of Laplace transformation and Their Applications. ), Lecture 47 : Eigenvalues & Eigenvectors (Cont. While the Fourier transform of a function is a complex function of a real variable (frequency), the Laplace transform of a function is a complex function of a complex variable. ECE/IN 7-8 Marks, EE/ME 6-7 Marks, CE/CS 8-10 Marks weightage in GATE, 1. Pearson Education, Inc. 4 Zill, D.G., Shanahan P.D. iii) It helps to determine Laplace and Inverse Laplace transforms of various engineering problems. command is given to return them to the ground. Discussion Forum on Recording Lectures & Class Recording (copy), Mid Term Exam-Online (CSE, Section: O1 to O5) Click here to attempt, Welcome to Online Mid Term Exam (Open Book), Guideline for Online Open Book Exam (for CSE Dept.). mp3 or. ), Lecture 55 : First Order Linear Differential Equations, Lecture 56: Higher Order Linear Differential Equations, Lecture 57: Solution of Higher Order Homogeneous Linear Equations, Lecture 58: Solution of Higher Order Non-Homogeneous Linear Equations, Lecture 59: Solution of Higher Order Non-Homogeneous Linear Equations (cont. Week 1. Engineering Mathematics is the art of applying mathematics to complex real-world problems. NPTEL provides E-learning through online Web and Video courses various streams. ), Lecture 49 : Eigenvalues & Eigenvectors (Cont. This Subject as far as the examination is concerned is very high scoring.

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