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MEHRAN UNIVERSITY OF ENGINEERING & TECHNOLOGY Form-001/00/qsp-004 Dec. 01, 2001 TENTATIVE TEACHING PLAN DEPARTMENT / INSTITUTE / DIRECTORATE: BSRS (From To ) Name of the Teacher: Prof. Dr. Muhammad Anwar Solangi Subject: Linear Algebra Differential Equations & Analytical Geometry Batch: 16IN Year: 1st Term: 2nd Code: MTH 103 (03+00) Term Starting Date: 21-07-2016 Term Suspension Date: 09-11-2016 S.# No. of Lectures hrs CONTENTS 17 Higher order linear differential equation: Homogeneous linear equations of order n with constant coefficients, auxiliary/characteristic equations. Solution of higher order differential equation according to the roots of auxiliary equation. Non-homogeneous linear equations. Working rules for finding particular integral. 18 Cauchy Euler equation 01 19 Method of variation of parameters for solving y” + p(x)y1 +q(x)y = f(x). 01 20 Applications of higher order linear differential equations. 01 21 Analytical Geometry of 3-Dimenssions. Introduction. Coordinates of a point dividing a line segment in a given ration. 01 22 Straight line in R3 01 23 Direction ratios and direction cosines, Angle between two straight lines. 01 24 Distance of point from a line. 01 25 Planes: Equation of a plane. 01 26 Angle between two planers, intersection of two planes. 01 27 A plane and a straight line, skew lines. 01 28 Cylindrical and spherical coordinates: Introduction to cylindrical and spherical coordinates. 02 29 Sphere: General equation of sphere, great circle. 01 30 Multiple integrals. Definition, double integral as volume, evaluation of double integral, change of order of integration. 01 31 Application of double integrates area, mass of an element, moment of inertia, and center of gravity. 01 32 Triple integrals, evaluation of triple integrals, Triple integration in cylindrical and spherical coordinates. 01 33 Application of triple integrals, volume, mass of an element. 01 34 Center of Gravity, movement of inertia by triple integral 01 16 Total Lectures Hours: Signature of Teacher: Date: 01 02 21 Remarks of DMRC: Signature of Chairman: Date: