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BIRLA INSTITUTE OF TECHNOLOGY & SCIENCE, PILANIWork Integrated Learning Prograe! "i#i!ionBITS$Wi%ro Te&'no(ogie! Co((a)orati#e Prograe* +S in So,t-are EngineeringI SEMESTERCOURSE HANDOUTCourse Number : SEWP ZC211Course Title: Mathematics S&o%e and o).e&ti#e!*At the end of the course the student would be able to understand the fundamentals of linear and matrix algebra solve systems of linear equations using analytical and numerical techniques formulate and solve linear programming problemsText BooksT1. Erwin Kreyszig, Advanced Engineering Mathematics, Wiley India, 9th Edition 2011. T2. Hamdy A Taha, Operations Research: An Introduction, Pearson / PHI, 8thEdition,2009. Lecture Plan WeekNo.Topic Chapter Reference1 Operation on matrices and introduction to vector spaces.T1: Chap. 7: Sec. 7.1 7.4 and 7.92Solution of linear system of equations, Determinants, Inverse of a matrix, Gauss Jordan eliminationT1: Chap. 7: Sec. 7.5 7.83Eigen values, eigen vectors and their applicationsT1: Chap. 8: Sec. 8.1 8.34 Eigen bases, diagonalization and quadratic formsT1: Chap. 8: Sec 8.4 8.55 Linear systems: Gauss elimination with pivoting, LU decompositionT1: Chap. 20: Sec. 20.1 20.26 Iterative methods of solving linear systems T1: Chap. 20: Sec. 20.3 20.47Matrix eigen value problems T1: Chap. 20: Sec. 20.6 20.88 Review and problem solvingSyllabus for Mid-Semester Test: Topics covered in the frst 8 weeks9Modelling with Linear programming, Graphical approach T2: Chap. 2: Sec. 2.1 2.2. Subsec. 2.3.310 The simplex method T2: Chap. 3: Sec. 3.1 3.311 Big M and Two Phase Method T2: Chap. 3: Sec. 3.412 Special cases of the simplex method and sensitivity analysis T2: Chap. 3: Subsec. 3.6.1- 3.6.213 14 The Dual Simplex Method and the Generalized Simplex AlgorithmT2: Chap. 4: Sec. 4.1 4.415 Post optimal analysis T2: Chap. 4: Sec. 4.516 Review and problem solvingSyllabus for ComprehensiveExam (Open Book): ll !opi"s #iven in $lanEvalua!ion S"heme: EC%oComponen! & %a!ure'ura!ion(ei#h!a#e'a!e) Time1. Mid-Semester Test(Closed Book) 2 hours30% June 9, 2013 FN2. Assignment 10%3. Compre. !"m (#pen Book)3 hours$0% Aug 18, 2013 FN
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