Assam University BA Mathematics Syllabus 6th sem pass

SIXTH SEMESTER  MTMP-601  LINEAR PROGRAMMING & SOLID GEOMETRY (3-D)  Full Marks : 50  Pass Marks : 17  (To answer one questi...

SIXTH SEMESTER 

MTMP-601 

LINEAR PROGRAMMING & SOLID GEOMETRY (3-D) 

Full Marks : 50 

Pass Marks : 17 

(To answer one question from each unit. Each unit will have provision for internal choice.) 

GROUP-A 

LINEAR PROGRAMMING 

(Marks —30) 

Unit—I 

Marks-l0
Introduction, brief idea about O.R. and its applications, convex sets and their properties, hyper plane, formation of an L.P.P., Different models, solution by graphical method.

Unit—II 

Marks-10
Standard form of an L.P.P., feasible, basic, optimal, unbounded solution, solution of the standard
L.P.P. by Simplex method, Big-M method.

Unit - III

Marks-10
Concept of duality, formation of dual problems, standard results on duality, advantages of duality, Transportation problems.

GROUP-B 

SOLID GEOMETRY (3-D) 

(Marks-20) 

Unit -IV 

Marks-l0
Equation of straight lines, shortest distance between lines, Equation of the line of shortest distance.

Unit-V 

Marks-l0
Sphere, cone; Tangent lines and planes.