Fall 2011
Bachelor of Computer Application (BCA)
– Semester 3
BC0043 – Computer oriented numerical methods – 4
Credits
(Book ID: B0804)
Assignment Set – 1 (60 Marks)
Answer the following: 6

10 = 60
1. Explain the following terms in five sentences each
(i) Data error
(ii) Conversion error
(iii) Numerical error
(iv) Round off error
(v) Truncation error
(vi) Significant digits
2. Find the real root of the equation x 3 – 4x – 9 = 0 using the Bisection method.
3. Find a real root of the equation x 3 – 2x – 5 = 0 by the method of regulafalsi position, correct to three decimal places.
4. Find a real root of the transcendental equation cosx – 3x + 1 = 0, correct to four decimal places using the method of iteration.
5. Compute the adjoint as well as the inverse of the matrix
A 


1


1
1
2
3
4
3
4
3





6. Find the rank of the matrix




1
2
1 transformation.
2
3
3
3
5
4
2
1
5



 using elementary row
Fall 2011
Bachelor of Computer Application (BCA)
– Semester 3
BC0043 – Computer oriented numerical methods – 4
Credits
(Book ID: B0804)
Assignment Set –2 (60 Marks)
Answer the following: 6

10 = 60
1. Investigate the values of

and

such that the system of equations
x + y + z = 6
x + 2y + 3z = 10
x + 2y +
 z =

, may have
(i) Unique solution
(ii) Infinite number of solution
(iii) No solution
2. Apply Gauss-Seidel iteration method to solve the equations
3
2 x x
20
1
1 x


1
20
3 x
 x
2 x
2
2


 x
20
3 x
2 x
3
3


 18
 25
17

3. Find all eigen values and the corresponding eigen vectors of the matrix
A 





8
2
6


7
6
4

2
3
4




4. Use the method of group averages and find a curve of the form y  mx n
, that fits the following data x 10 20 30 40 50 60 70 80 y 1.06 1.33 1.52 1.68 1.81 1.91 2.01 2.11
5. Evaluate f(15), given the following table of values x y = f(x)
10 20 30 40 50
46 66 81 93 101
6. Given that x 1.0 1.1 1.2 1.3 1.4 1.5 1.6 y 7.989 8.403 8.781 9.129 9.451 9.750 10.031
Find dy dx
and d dx
2 y
2
at (a) x = 1.1
(b) x = 1.6 using Newton’s forward difference formulae.
Fall 2011

Bachelor of Computer Application (BCA)
– Semester 3
BC0044 – Accounting and Financial Management – 4
Credits
(Book ID: B0805)
Assignment Set – 1 (60 Marks)
Answer all the questions.
1. Journalise the following transactions: (10 Marks)
01.01.09 Bought goods for Rs.10,000
02.01.09
03.01.09
04.01.09
Purchased goods from X Rs.20,000
Bought goods from Y for Rs.30,000 against a current dated cheque
Purchased goods from Z [price list price is Rs.30,000 and trade discount is 10%]
05.01.09
06.01.09
07.01.09
Bought goods of the list prce of Rs.1,25,000 from M less 20% trade discount and 2% cash discount. Paid 40% of the amount by cheque
Returned 10% of the goods supplied by X
Returned 10% of the goods supplied by Y

1. Explain errors of omission and errors of commission. (10
Marks)
2. From the following balances extracted from Trial balance, prepare Trading
Account. The closing stock at the end of the period is Rs. 56000
(20 Marks)
Particulars
Stock on 1-1-2004
Returns inwards
Returns outwards
Purchases
Debtors
Creditors
Carriage inwards
Carriage outwards
Import duty on materials received from abroad
Clearing charges
Rent of business shop
Royalty paid to extract materials
Fire insurance on stock
Wages paid to workers
Office salaries
Cash discount
Gas, electricity and water
Sales
Amount in Rs.
70700
3000
3000
102000
56000
45000
5000
4000
6000
7000
12000
10000
2000
8000
10000
1000
4000
250000
3. Why wealth maximization is superior to profit maximization? (10
Marks)

4. Following are the extracts from the Trial Balance of a firm as on 31 st March
20X7
Sundry Debtors
Provision for Doubtful Debts
Dr
2,05,000
Provision for Discount on Debtors
Bad Debts 3,000
Cr
10,000
1,800
Discount 1,000
Additional Information:
1) Additional Bad Debts required Rs.4,000
2) Additional Discount allowed to Debtors Rs.1,000
3) Maintain a provision for bad debts @ 10% on debtors
4) Maintain a provision for discount @ 2% on debtors
Required: Pass the necessary journal entries and show the relevant accounts including final accounts.

Fall 2011
Bachelor of Computer Application (BCA)
– Semester 3
BC0044 – Accounting and Financial Management – 4
Credits
(Book ID: B0805)
Assignment Set – 2 (60 Marks)
Answer all the questions. Each question carries 10 marks
1. What is over capitalization? How do we know over capitalization has occurred?
2. Explain permanent and temporary working capital.
3. A. What are the assumptions of EOQ Model.?
B. Consider the following data of X Ltd. Calculate EOQ
Annual usuage = 10000 units
Fixed cost per order = Rs.150
Purchase price per unit = Rs.20
Carrying cost = 25 percent
4. Explain the objectives of cash management

5. The income statement of Vignesh Ltd is as follows:
Purchases
12,00,000
13,00,000
80,000 on sale of
Investments
13,00,000
60,000
Net Profit 80,000
3,00,000
Calculate the Gross Profit Ratio, Net Profit Ratio, Operating Ratio, Operating Profit
Ratio and Expense Ratio.
6. Explain the steps involved in Funds Flow statement.
Fall 2011
Bachelor of Computer Application (BCA)
– Semester 3
BC0045 –System Analysis & Design – 4 Credits
(Book ID: B0806)
Assignment Set – 1 (60 Marks)
Answer all questions. Each question carries six marks 10 x 6 = 60
1. Explain the systems that require engineering.
2. Explain attributes, properties, and characteristics of system.
3. Explain the Key Challenges in Developing Systems Acceptable to Their Users.

4. What do understand from Organizational Aspects of System Life Cycles?
Explain.
5. With necessary diagram explain system lifecycle within lifecycle.
6. Discuss the concept of system transition strategy.
7. Write down the Importance of the System Elements Concept.
8. Explain the concept of Logical Entity Relationships.
9. How do you relate System Levels of Abstraction and Semantics to System
Architecture?
10. Explain the concept of OPERATING ENVIRONMENT?
Fall 2011
Bachelor of Computer Application (BCA) – Semester 3
BC0045 –System Analysis & Design – 4 Credits
(Book ID: B0806)
Assignment Set – 2 (60 Marks)
Answer all questions. Each question carries six marks 10 x 6 = 60

1. Define Human-Machine Interface, Interchangeability, and Interface.
2. Write short notes on Serial Data communications and parallel data communications.
3. How do you characterize the Solution spaces?
4. What does the key entities of technical accountability include?
Explain.
5. Discuss Developmental Test and Evaluation (DT&E).
6. Explain SE Process Model Objective.
7. Explain the concept of Highly Iterative Characteristics of SE model
8. Explain briefly the Spiral Development Model.
9. Discuss the concept of System Versus Component Development Strategies.
10. Write a note on the Requirements Hierarchy.