2010 mca syllabus



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Lec.

Num.

Unit Title

Details

Learning Resources

22




Types of budget, Advantages & limitations of Budgetary Control

R2 15.4 to 15.5

23




Preparation of Flexible Budgets

(Practical Questions)

R2 15.23 to15.29

24

Budgetary Control

Preparation of Cash Budget

(Practical Questions)

R2 15.18 to 15.21

25

Standard Costing

Meaning, application of standard Costing, Advantages and Limitations

R2 16.1 to16.5

26




Variance Analysis MCV, MUV, MPV (Practical Questions)

R2 16.10 to 16.16

27




LCV, LEV, LRV (Practical Questions)

R2 16.20 to 16.26

28

Marginal Costing

Concept of Marginal Costing, features advantages and limitations.

R2 18.1 to 18.12

29




Cost Volume Profit Analysis

R2 18.1 to 18.12

30




BEP, P/V ration, Margin of Safety

(Practical Questions)



R2 18.1 to 18.12

31

Ratio Analysis

Concept and significance of Ratio Analysis

R3 47 to 52

32




Understanding Liquidity and Profitability Ratio.

R3 61 to 63

33




Understanding Funds Flow Statement and Cash Flow Statement

R3 121 to 123, 134to 139

34

Financial management

Meaning, nature and scope of Financial Management

R3 3 to 7

35




Objectives: profit Maximization and Wealth Maximization.

R3 9 to 11

36

Capital Budgeting

Importance and process

R3 215

37




Capital Budgeting PBP, NPV, PI

(Practical Questions)



R3 239 to 254

38




Practice of Capital Budgeting problems




39

Management of Working Capital

Concept of Working Capital Types, Operating Cycle

R3 605 to 607

40




Factors affecting requirement of working capital

R3 609




Lec.

Num.

Unit Title

Details

Learning Resources

41




Estimation of working Capital requirement.

R3 627

42

Long Term Sources of Finance

Sources of Long term finance- Shares, Debentures, Retained earnings, financing through bank & F.I.s

R3 767 to 771


43

Dividend Decision

Factors affecting Dividend Decision, Dividend policies

R3 561 to 562, 585

44




Understanding the concept of capital Structure

R3 511to 513

45




Understanding the concept of Cost of capital

R3 399 to400

Reference Books:

  1. S.N. Maheshwari, “Financial Cost and Management Accounting”, Sultan chand & Sons

  2. I.M. Pandey, “Financial Management”, Vikas Publications.

  3. Financial Accounting Tulsian

  4. Accountancy by Paul

  5. Management Accounting Khan & Jain



Subject Code

J030113

Title

Computational Mathematics- II

Work Load Per Week

L:3 T:1

Examinations

Int: 30 Univ: 70

Objectives

This is a second paper on Computational Mathematics. This paper is concerned with Elementary and Advanced Counting Methods, Graph Concepts and Graph Representations, and Elementary Graph Algorithms.

Learning Outcomes

At the end of this course, student should be able to (a) represent trees, and graphs in computer memory , (b) write algorithms to perform operations on graphs and trees,

( c) Understand Applications of Graphs and Trees



Pre-requisites

XII Level Mathematics and Computational Mathematics I (J03005)

Text Book(s)

Rosen Kenneth H., Discrete Mathematics and its Applications, Tata McGra-Hill, Sixth Edition, 2007


Syllabus




Lec.

Num.

Unit Title

Details

Learning Resources

1

Basic Counting Principles

Product Rule and Extended Product Rule; Examples; Sum Rule and Extended Sum Rule; Examples;

Pages 335 to 341

2




Complex Counting Problems

Handout

3




Pigeonhole Principle and Generalized Pigeonhole Principle

Pages 341 to 353

4


Permutations and Combinations

Permutations; Combinations


Pages 355 to 360

5




Binomial Theorem; Pascal's Identity and Triangle; Identities of the Binomial Coefficients

Pages 363 to 368

6





Permutations with repetitions; Combinations with repetitions;

Pages 370 to 374

7




Permutations with Indistinguishable Objects

Pages 375 to 379

8




Generating Permutations

Pages 382 to 384

9




Generating Combinations; Computation of Binomial coefficients

Hand Out

10

Advanced Counting Techniques

Recurrence Relations; Modeling with recurrence Relations

Pages 393 to 40011




Lec.

Num.

Unit Title

Details

Learning Resources

11




Solving homogeneous Linear Recurrence Relations with Constant Coefficients

Pages 404 to 408

12




More Examples

Pages 408 to 411

13




Solving Non-homogeneous Recurrence Relations

Pages 411 to 415

14




Divide and Conquer Algorithms and Recurrence Relations

Pages 418 to 420

15




More Examples

Pages 421 to 423

16

Generating Functions

Useful Power Series; Extended Binomial Theorem

Pages 428 to 432

17




Counting Problems and Generating Functions

Pages 432 to 437

18




Using Generating Functions to Solve Recurrence Relations

Pages 437 to 439

19




Generalized Inclusion-Exclusion Principle

Pages 444 to 448

20




Applications of Inclusion-Exclusion Principle; Derangements

Pages 449 to 456

21

Graphs and Graph Models

Basic Definitions and Examples

Pages 533 to 539

22




Handshaking Theorem

Pages 541 to 545

23




Special Simple Graphs; Applications; New Graphs from Old

Pages 545 to 552

24

Graph Representations

Adjacency Lists; Adjacency Matrices; Incidence Matrices;

Pages 555 to 559

25




Isomorphism of Graphs

Pages 559 to 562

26

Connectivity in Graphs

Paths, Simple Paths, Cycles, Simple Cycles

Pages 565 to 568

27




Connectedness in Undirected Graphs; Connected Components

Pages 568 to 570

28




Connectedness in Directed Graphs; Paths and Isomorphism; Counting Paths between Vertices

Pages 570 to 573




Lec.

Num.

Unit Title

Details

Learning Resources

29

Euler and Hamiltonian Paths

Euler Paths and Euler Circuits

Pages 577 to 582

30




Hamiltonian Paths and Circuits

Pages 583 to 587

31

Shortest Path Problems

Shortest Path Problem; Dijkstra's Algorithm; Traveling Salesman Problem

Pages 591 to 599

32

Planar Graphs and Graph Coloring

Planar Graphs

Pages 601 to 603

33




Euler's Formula; Kuratowski's Theorem

Pages 603 to 609

34




Coloring, Chromatic Number; Four Color Theorem

Pages 610 to 615

35




Applications of Graph Coloring

Pages 615 to 616

36

Trees

Basic Definitions;

Pages 627 to 634

37




Properties of Trees

Pages 634 to 637

38

Applications of Trees

Binary Search Trees

Pages 639 to 642

39




Decision Trees ; Prefix Codes

Pages 642 to 647

40




Game Trees

Pages 648 to 651

41




Heaps

Hand Out

42

Tree Traversal

Universal Address System, Traversal Algorithms

Pages 654 to 666

43

Spanning Trees

Definition; Depth First Search; Breadth First Search

Pages 668 to 678

44

Minimum Spanning Trees

Prim's Algorithm

Pages 682to 683

45




Kruskal's Algorithm

Pages 684 to 685


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