Can you provide me the syllabus of BCA syllabus of Madras University. What is the total duration of the course and what all topics are covered in the syllabus?
>>>>> Answer <<<<<< Bachelor of Computer Applications (BCA) - Ist Year
SYLLABUS
BCA Ist Year - Semester I - BCA103 - Mathematics-I
Semester I - BCA103 - Mathematics
Unit - I: Sets, Relations and functions: Sets - set operations - Cartesian products - -Relation - equivalence relation - partition - partial order relation - Functions Inverse functions - Composition of functions - Properties of functions - Binary operation.
Unit - II
Counting principles- The Pigeonhole principle -. counting - permutations and comb,inations - combinatorial arguments - countable and uncountable sets - lattices. Boolean Algebra: Boo lean functions - Normal forms. Unit : III : Binary operations - Semigroups - product and quotients of semigroups - Gropus - product and quotient groups.
Unit - IV
Linear Algebra: Types of matrices - Matrix operations - canonical forms - Inverse of a matrix - Geometric properties of plane linear transformaticm - Rotation - Reflection - Expansion and compressions - Shears - translation - successive transformation - Inverse transformation - Rank and nullity - Linear systems and matrices - Methods of solution to Linear systems (Cramer’s Rule).
Unit - V
Two dimensional Analytical Geometry: pairs of straight lines - circle - system of circles - parabola- ellipse - hyperbola- polar equations - (standard equations and simple properties)Three dimensional
Semester II - BCA107 - Mathematics-II
Unit - I:
Differential calculus: Functions and limits - Differentiation - successive differentiation - partial differentiation - maxima and minima - Tangents- normal - curvature and envelopes ( simple problems).
Unit- II :
Integral calculus: Integration - Defmite integrals - Reduction formulae - Geometric applications of integration area, volume are length. (simple problems)
Unit - III :
Fourier series of Periodic functions on the interval [c, c+2pi] - Half-range series in [0,2pi] - Fourier Transforms.
Unit - IV :
Three dimensional Analytical Geometry: The plane - The straight line - the sphere - the cone and the cylinders - (Standard equations and simple properties)
Unit - V :
Ordinary Differential equations: First order but of higher degree equations - Second order and non-homogeneous linear differential equations with constant coefficients - second -order linear differential equations with variable coefficients(Euler’s form only).
Semester I - Practical I - PC-Software
Lecturer/Lab Hours per Week: 6
Duration: 3 hrs
Max Makrs: 100
Credit: 4
MSWORD
1. Text Manipulations.
2. Usage of Numbering, Bullets, Footer and Headers.
3. Usage of Spell check, and Find & Replace.
4. Text Formatting.
5. Picture insertion and alignment.
6. Creation of documents, using templates.
7. Creation templates.
8. Mail Merge Concepts.
9. Copying Text & Pictures from Excel.
MS - EXCEL
10. Cell Editing.
11. Usage of Formulae and Bulit-in Functions.
12. File Manipulations.
13. Data Sorting (both number and alphabets).
14. Worksheet Preparation.
15. Drawing Graphs.
16. Usage of Auto Formatting.
POWER POINT
17. Inserting Clip arts and Pictures.
18. Frame movements of the above.
19. Insertion of new slides.
20. Preparation of Organisation Charts.
21. Presentation using Wizards.
22. Usage of design templates.
Semester III - BCA209 - Programming in COBOL
Unit - I
Introduction to COBOL - IDENTIFICATION Division - ENVIRONMENT Dwision - DATA Division - PROCEDURE Division.
Unit - II
Debugging and Program Testing - Keyboard Input and Screen Display - Output Formatting - Arithmetic Operations.
Unit - III
Report Design and Coding - Conditional Operations - Designing and Writing Control Break Programs.
Unit - IV
Data validation Design and Coding - Processmg Arrays / Tables - Processing Multi - Dimensional Tables.
Unit - V
Sorting Master -Transaction File Processing - Indexed File Processing - Program Management.
Books for Study and Reference:
1. Tyler Welburn & Wilson Price - Structured COBOL (Fundamentals and Style) - Fourth Edition - McGraw Hill - 1995.
2. A.S.Philippakis and L.J. Kazmier - Advanced COBOL - McGraw Hill - 1991.
3. Roy, M,K and Ghopsh Dastidar, COBOL Programming, TMGH, New Delhi, 1989.
Semester III - BCA210 - Financial Accounting
Unit - I:
The Accounting structure: Basic accounting concepts and conversions - Accounting equation - Meaning of accounting - Groups interested in accounting information - trial balance, final accounts (emphasis to be given to important adjustments) - Rectification of errors - Suspense account
Unit - II:
Depreciation accounting - Meaning of depreciation - Methods of providing depreciation - Fixed percentage on original cost - Fixed percentage on diminishing balance (including change in the method of depreciation) Single entry: Definition and salient features Statement of affairs method - Conversion method. Average due date - Account current and investment accounts
UNIT - III :
Branch Accounts: Debtors system - profit and Loss Accounts - Stock and debtors system - Distinction between wholesale profit and retail profit - Independent branch ( foreign branch excluded) - Departmental Accounts: Basis for allocation of expenses - Inter departmental transfer at cost or selling price - Treatment of expenses which cannot be allocated.
Unit - IV:
Hire purchase and Instalment purchase: Meaning and legal position Accounting aspects - Default and re-possession - Hire purchase trading account - Instalment system - Accounting aspect. Sale or Return: Meaning and legal position - Accounting procedure under different circumstances.
UNIT - V:
Partnership Accounts: Section 13 of Indian Partnership Act - Fixed and fluctuating. capital - Final accounts of firms - Admission of a partner - Retirement of a partner - Death of a partner - dissolution of partnership - Insolvency of a partner - (Garner Vs Murray) - Insolvency of all pa tners Gradual realization of assets and piecemeal distribution.
Books for Study and Reference:
1. Gupta R.L. Advanced Accountancy, S.Chand, Delhi.
2. Agarwala A. N. Higher Science of Accountancy, Kitab Mahal,Allahabad.
3. S.P. Jam, and K.L. Narang, Financial Accounting.
4. MC.Shukla and T.S.Grawel, Adavnced Accounts(VoL I).
5. Gillespie Accounting system, Procedure & methods, Prentice Hall India Ltd., Delhi.
Semester III - BCA211 - Numerical and Statistical Methods
Unit - I
Roots of Equations: Graphical Method -Bisection Method - False-Position Method - Fixed-Point Iteration - Newton-Raphson Method Secant Method - Roots of Polynomials: Conventional Methods - Muller’s Method - Bairstow’s Method. Algebraic Equations: Gauss Elimination -Gauss-Jordan - LU Decomposition - Matrix Inverse -Gauss-Seidel.
Unit - II
Numerical Differentiation - Integration: Trapezoidal Rule - Simpson’s Rule - Romberg Integration - Differential equations: Taylor’s method - Euler’s method -Runge-Kutta 2nd and 4th order methods Predictor - corrector methods.
Unit - III
Diagrammatic and Graphical representation of Numerical Data - Formation of frequency distribution - Histogram, Cumulative Frequency - Polygon and Ogives - Measures of central tendencies - Mean, Median, Mode - Measures of dispersion - Mean deviation, Standard deviation, variance, Quartile deviation and coefficient of variation - Moments (upto 4th) - Measures of Skewness and Kurtosis for grouped and ungrouped data.
Unit - IV
Sample space - Events - Definition of probability - combinatorial problems - conditional probability and independence - Random variables, distributions and Mathematical expectations - Discrete distributions - Binomial - Poisson - Continuous distributions - Normal and Exponential distributions - Moments and Moment generating functions.
Unit - V
Correlation and Regression analysis: product moment correlation -coefficient - rank correlation coefficient - simple regression - method of least squares for estimation of regression coefficient. Concept of sampling and Sampling distributions - Sampling from Normal distributions - Standard error - Tests of significance - Large sample test for population mean and proportions - Test for populations means: single - two sample and paired t - test - Chi square tests for goodness of fit and test for independence of attributes in contingency table.
Books for Study and Reference:
1. Snedecor G.W. and Cochran W.G. (1989): Statistical methods, 8 ed., Affiliated East West.
2. Trivedi K.S. (1994): Probability and Statistics with Reliability, Queueing and computer Science applications, Prentice Hall of India.
3. Balaguruswamy E. (1988): Computer oriented Statistical and Numerical methods, Macmillan India Ltd.
4. S. C. Chopra and R. P.Canale - Numerical Methods for Engineers - Third Edition - McGraw Hill International Edition - 1998.
5. S. S. Sastri, Introductory Methods of Numerical Analysis, Prentice Hall