Mathematics I - Topics

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, 9th Edition 2011.
      
T2: Hamdy A Taha, Operations Research: An Introduction, Pearson / PHI, 8th Edition,2009.  


Mathematics Topics :


Topic
Chapter Reference
Operation on matrices and introduction to vector spaces.

TextBook - T1
Chap.- 7
Sec.- 7.1 – 7.4 and 7.9
Solution of linear system of equations, Determinants, Inverse of a matrix, Gauss Jordan elimination
TextBook - T1
Chap. 7
Sec.- 7.5 – 7.8
Eigen values, eigen vectors and their applications
TextBook - T1
Chap. 8
Sec. 8.1 – 8.3
Eigen bases, diagonalization and quadratic forms
TextBook - T1
Chap. 8
Sec 8.4 – 8.5
Linear systems: Gauss elimination with pivoting, LU decomposition
TextBook - T1
Chap. 20
Sec. 20.1 – 20.2
Iterative methods of solving linear systems
TextBook - T1
Chap. 20
Sec. 20.3 – 20.4
Matrix eigen value problems
TextBook - T1
Chap. 20
Sec. 20.6 – 20.8
Review and problem solving

Syllabus for Mid-Semester Test: Topics covered in the first 8 weeks
Modelling with Linear programming, Graphical approach
TextBook – T2
Chap. 2
Sec.  2.1 – 2.2. Subsec. 2.3.3
The simplex method
TextBook – T2
Chap. 3
Sec. 3.1 – 3.3
Big M and Two Phase Method
TextBook – T2
Chap. 3
Sec. 3.4
Special cases of the simplex method and sensitivity analysis
TextBook – T2
Chap. 3
Subsec. 3.6.1- 3.6.2
The Dual Simplex Method and the Generalized Simplex Algorithm
TextBook – T2
Chap. 4
Sec. 4.1 – 4.4
Post optimal analysis
TextBook – T2
Chap. 4
Sec. 4.5
Review and problem solving

Syllabus for Comprehensive  Exam (Open Book): All topics given in Plan 

Source:- from my MS Prof.

Comments

  1. Hello Ravi!
    I ve been heard that there would be a project in eigth semister.can you give some idea how it would be?

    ReplyDelete

Post a Comment

Popular Posts