MSc (Mathematics and Computing) Programme:Advanced Optimization Techniques
Master
In Patiala
Description
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Type
Master
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Location
Patiala
Facilities
Location
Start date
Start date
Reviews
Course programme
Semester I
Real Analysis – I
Linear Algebra
Complex Analysis
Fundamentals of Computer Science and C Programming
Discrete Mathematical Structure
Differential Equations
Semester II
Real Analysis –II
Advanced Abstract Algebra
Computer Oriented Numerical Methods
Data Structures
Data Based Management Systems
Operating Systems
Semester III
Topology
Computer Based Optimization Techniques
Computer Networks
Mechanics
Seminar
Semester IV
Functional Analysis
Dissertation
Advanced Optimization Techniques
Nonlinear programming: Convex sets and convex functions, their properties, convex programming problem, generalized convexity, Pseudo and Quasi convex functions, KT conditions.
Goal Programming: Graphical solution.
Separable programming, Geometric programming, Problems with positive coefficients up to one degree of difficulty, Generalized method for the positive and negative coefficients.
Search Techniques: Direct search and gradient methods, Unimodal functions, Fibonacci method, Golden Section method, Method of steepest descent, Newton-Raphson method, Hooke's and Jeeve's method, Conjugate gradient methods.
Dynamic Programming: Deterministic and Probabilistic Dynamic Programming, Discrete and continuous dynamic programming, simple illustrations.
Multiobjective Programming: Efficient solutions, Domination cones
MSc (Mathematics and Computing) Programme:Advanced Optimization Techniques