MCA/ASSIGN/III/YEAR/2012

ASSIGNMENTS Year, 2012-13 (3rd Semester)

(MCS-031, MCS-032, MCS-033, MCS-034, MCS-035, MCSL-36)

There are ten questions in this assignment, which carries 80 marks. Rest 20 marks are for viva-voce. Answer all the questions. You may use illustration and diagrams to enhance the explanations. Please go through the guidelines regarding assignments given in the MCA Programme Guide for the format of presentation. The examples, whenever asked to be given, should be different from those that are discussed in the course material. Question1: Using Insertion Sort, sort the following sequence in increasing (10 marks) order and do the analysis of the algorithm: 35, 37, 18, 15, 40, 12 Question 2: Write a pseudocode for divide and conquer algorithm for finding the position of an array of n numbers and estimate the number of key comparisons made by your algorithm. (10 marks) Question 3: Apply quicksort to sort the following list: Q U I C K S O R T (10 marks) in alphabetical order. Find the element whose position is unchanged in the sorted list. Question 4: Write Strassen’s matrix multiplications algorithm for obtaining the product of two matrices. (10 marks) Question 5: (i) Define DFS. Explain briefly how it differs from BFS. (10 marks) (ii) Write pseudocode for DFS and calculate its time complexity Question 6: Apply Kruskal’s algorithm to find minimal spanning tree with an example. (10 marks) Question7: Arrange the following growth rates in increasing order: O (3n), O (n2), O (1), O (n log n) Question 8: Using Principle of Mathematical Induction, prove that the sum 20 + 21 +…+ 2n is 2n +1 – 1 for all n 1.

(4 marks)

(6 marks)

Question 9: Define Knapsack Problem and cite one instance of the problem. (5 marks) Question 10: Explain the essential idea of Dynamic Programming. How does Dynamic Programming differ from Divide and conquer approach for solving problems?

(5 marks)

3

Course Code Course Titlle Assignment Number Assignment Marks Weightage Last Dates for Submission

: : : : : :

MCS-032 Object Oriented Analysis and Design MCA(3)/032/Assign/2012 100 25% 15th October, 2012 (For July 2012 Session) 15th April, 2013 (For January 2013 Session)

There are eight questions in this assignment, which carried 80 marks. Rest 20 marks are for viva-voce. Answer all the questions. Make necessary assumptions where ever required. Please go through the guidelines regarding assignments given in the Program Guide for the format of presentation. Question 1: What is Object Orientation? Explain features of Object Oriented approach of system design. Why it is better than Structured approach of system design. (10 Marks) What is UML? Briefly explain, different UML Diagrams used for Modeling.

Question 2:

(10 Marks)

Question 3:

What is class diagrams? Explain how classes are identified in designing of an object oriented system, with the help of an example. (10 Marks) What is generalization? Explain how it is different from specialization with an example.

Question 4:

(10 Marks)

Question 5: What is dynamic model? Also explain how it is different from object model. (10 Marks) Question 6: What is state diagram ? Differentiate between a simple state diagram and a composite state diagram. Draw state diagram for Railway Reservation System. (10 Marks) What is Bi-directional Implementation? Explain advantages of Bi- directional Implementation with example. (10 Marks) What is ternary association? Explain how ternary associations are mapped into tables with an example. (10 Marks)

Question 7:

Question 8:

4

Course Code Course Title Assignment Number Maximum Marks Weightage Last Dates for Submission

: : : : : :

MCS-033 Advanced Discrete Mathematics MCA(3)/033/Assign/2012 100 25% 15th October, 2012 (For July 2012 Session) 15th April, 2013 (For January 2013 Session)

There are FIVE questions of total 80 marks in this assignment. Answer...