SUBJECT DETAILS
Programme: BCA
Course Code: BCA2CJ103 / BCA2MN102
Course Title: Numerical Analysis and Operations Research
Type of Course: Major / Minor (B2)
Semester: II
Academic Level: 100–199
Credits: 4
Lecture Hours: 4 per week
PRE-REQUISITES
Understanding of algebraic concepts, equations, and inequalities
Basic knowledge of derivatives and integrals
COURSE SUMMARY
Covers numerical methods and operations research
Focus on error analysis and solution techniques
Includes algebraic and transcendental equations
Topics include interpolation, numerical integration
Introduces linear programming and OR principles
COURSE OUTCOMES
CO1: Solve algebraic and transcendental equations using numerical methods
CO2: Apply interpolation and numerical integration techniques
CO3: Understand fundamentals of Operations Research
CO4: Solve Linear Programming Problems using optimization techniques
CO5: Understand and solve transportation problems
CO6: Solve assignment problems for optimal solutions
MODULE I – NUMERICAL ANALYSIS I
Errors in numerical calculations
Sources of errors
Solution of algebraic and transcendental equations
Bisection method
Method of false position
Newton–Raphson method
MODULE II – NUMERICAL ANALYSIS II
Polynomial interpolation
Lagrange interpolation
Newton’s forward difference interpolation
Newton’s backward difference interpolation
Numerical solution of definite integrals
Simpson’s 1/3 rule
Simpson’s 3/8 rule
Trapezoidal method
MODULE III – OPERATIONS RESEARCH I
Introduction to Operations Research
Definition, advantages, and limitations of OR
Linear Programming Problem (LPP)
Formulation of LPP
Feasible solution and optimal Solution
Dual of LPP
Graphical solution of LPP
Simplex method
Big-M method
MODULE IV – OPERATIONS RESEARCH II
Transportation problem
Balanced and unbalanced transportation problems
Finding basic feasible solutions
Northwest corner method
Least cost method
Vogel’s approximation method
Optimized (MODI) method
Assignment model
Balanced and unbalanced assignment problems
Hungarian method for optimal solution
MODULE V – OPEN ENDED MODULE (OTHER NUMERICAL METHODS)
Any two additional methods to solve algebraic and transcendental equations
Any two additional methods for polynomial interpolation
Any two additional methods to solve definite integrals
Any one additional method to solve LPP
- Teacher: Divya p FACULTY