MSc (Mathematics and Computing) Programme:Advanced Optimization Techniques

Thapar University
In Patiala

Price on request
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Important information

Typology Master
Location Patiala
  • Master
  • Patiala


Where and when

Starts Location
On request
Thapar University P.O Box 32, 147004, Punjab, India
See map
Starts On request
Thapar University P.O Box 32, 147004, Punjab, India
See map

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

Computer Based Optimization Techniques
Computer Networks

Semester IV

Functional Analysis

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

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