BIRLA INSTITUTE OF TECHNOLOGY & SCIENCE, PILANI Work Integrated Learning Programmes Division BITS-Wipro Technologies Collaborative Programme: MS in Software Engineering I SEMESTER COURSE HANDOUT Course Number : SEWP ZC211 Course Title : Mathematics Scope and objectives: 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 problems Text Books T1. Erwin Kreyszig, Advanced Engineering Mathematics, Wiley India, 9 th Edition 2011. T2. Hamdy A Taha, Operations Research: An Introduction, Pearson / PHI, 8 th Edition,2009. Lecture Plan Week No. Topic Chapter Reference 1 Operation on matrices and introduction to vector spaces. T1: Chap. 7: Sec. 7.1 – 7.4 and 7.9 2 Solution of linear system of equations, Determinants, Inverse of a matrix, Gauss Jordan elimination T1: Chap. 7: Sec. 7.5 – 7.8 3 Eigen values, eigen vectors and their applications T1: Chap. 8: Sec. 8.1 – 8.3 4 Eigen bases, diagonalization and quadratic forms T1: Chap. 8: Sec 8.4 – 8.5 5 Linear systems: Gauss elimination with pivoting, LU decomposition T1: Chap. 20: Sec. 20.1 – 20.2 6 Iterative methods of solving linear systems T1: Chap. 20: Sec. 20.3 – 20.4 7 Matrix eigen value problems T1: Chap. 20: Sec. 20.6 – 20.8 8 Review and problem solving Syllabus for Mid-Semester Test: Topics covered in the first 8 weeks 9 Modelling with Linear programming, Graphical approach T2: Chap. 2: Sec. 2.1 – 2.2. Subsec. 2.3.3 10 The simplex method T2: Chap. 3: Sec. 3.1 – 3.3
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
