Decision Making and Mathematical Modelling detailed Syllabus Scheme for Master of Computer Applications (MCA), 2016 regulation has been taken from the University of Mumbai official website and presented for the MCA students. For Course Code, Course Title, Test 1, Test 2, Avg, End Sem Exam, Team Work, Practical, Oral, Total, and other information, do visit full semester subjects post given below.
For all other Mumbai University MCA 2nd Sem Syllabus 2016 Pattern, do visit MCA 2nd Sem 2016 Pattern Scheme. The detailed Syllabus Scheme for decision making and mathematical modelling is as follows.
MCA205: Decision Making and Mathematical Modelling Syllabus for MCA 2nd Sem 2016 Pattern Mumbai University
Prerequisites:
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Course Educational Objectives (CEO):
- CEO 1: To Understand the fundamental ideas of Discrete Mathematics
- CEO 2: To Express the decision making concepts as a mathematical model
- CEO 3: To Study and identify a real life business problem and computing requirements appropriate to its solution
Course Outcomes:
At the end of the course, the students will be able to:
- Develop mathematical and logical thinking
- Model situations from variety of settings in generalised mathematical form
- Solve the real world business problem
1. Mathematical logic
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2. Sets and Relations
Set operations and functions, Product sets and partitions, Relations and digraphs, Paths in Relations and Digraphs, Properties of Relations , Equivalence Relations, Operations on Relations, Partially Orders Sets, Hasse diagram 10
3. Graphs
Graph, Representation of Graph, Adjacency matrix, Adjacency list, Euler paths and Circuits, Hamiltonian Paths and Circuits 5
4. Mathematical Models
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5. Modeling using difference equation
Recurrence relation – Fibonacci series, Tower of Hanoi ,Lines in a plane Homogenous linear equations with constant coefficients, Particular Solution, Total Solution, Divide and Conquer Recurrence Relations (Fast Multiplication of Integers, Fast matrix Multiplication) 10
6. Characteristics of Complex Business Problems
Number of Possible Solutions, Time-Changing Environment, Problem-Specific Constraints, Multi-objective Problems, Modeling the Problem A Real-World Examples, 4
7. MADM & MCDM
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Reference Books:
- Discrete Mathematics and Its Applications 4th Edition , Kenneth H. Rosen ,McGraw Hill
- A First Course in Mathematical Modeling 5th Edition, Frank R. Giordano, William P. Fox, Steven B. Horton
- Adaptive Business Intelligence^ 1st Edition by Zbigniew Michalewicz, Martin Schmidt, Matthew Michalewicz, ConstantinChiriac, Springer Publication
- Decision Making in the Manufacturing Environment Using Graph Theory and Fuzzy Multiple Attribute Decision Making Methods,1st Edition by R. VenkataRao, Springer Publication
- Discrete Mathematical structures 4th Edition, Kolman, Busby, Ross, PHI
- Discrete Mathematics : SemyourLipschutz, VarshaPatillINd Edition Schaums Series TMH
- Data Mining: Introductory and Advanced Topics ,3rd Edition, Dunham , Sridhar
Assessment:
Internal: Assessment consists of two tests (T1 and T2) .The final marks should be the average of the two tests. End Semester Theory Examination: Guidelines for setting up the question paper.
- Question paper will comprise of total six questions.
- Question Number One should be compulsory.
- All question carry equal marks.
- Students can attempt any three from the remaining.
- Questions will be mixed in nature (for example supposed Q.2 has part a from module 3 then part b will be from any module other than module 3).
In question paper weightage of each module will be proportional to number of respective lecture hours as mention in the syllabus.
For detail syllabus of all other subjects of Master of Computer Applications (MCA), 2016 regulation do visit MCA 2nd Sem Subjects syllabus for 2016 regulation.