Scheme of teaching and examination

B.E. IV Semester Computer Science & Engineering

S.No Board of Study Subject Code 1 Appl. Mathematics 2 Appl. Mathematics 3 Comp Science & Engg 4 Comp Science & Engg 5 Comp Science & Engg 6 7 8 9 10 11 12 Management Comp Science & Engg Comp Science & Engg Comp Science & Engg Comp Science & Engg Humanities

Subject Name

Periods per Scheme of exam week L T 1 1 1 1 1 1 3 3 3 3 2 1 19 6 15 640 120 P ESE CT 80 80 80 80 80 80 40 40 40 40 20 20 20 20 20 20

Theory/Practical

Total Credit Marks L+(T+P) / 2

TA 20 20 20 20 20 20 20 20 20 20 40 120 120 120 120 120 120 60 60 60 60 40 5 4 4 4 4 4 2 2 2 2 1

322411(14) 322412( 14 ) 322413( 22 ) 322414( 22 )

Computational Mathematics Discrete Structures Data Structures

4 3 3 3 3 3

Computer Systems Architecture 322415( 22 ) Object Oriented Concepts & Programming using C++ 322416( 36 ) 322421( 22 ) Principles of Management

Data Structures Lab 322422( 22 ) Computer Hardware Simulation Lab 322423( 22 ) Object Oriented concepts Programming using C++ Lab 322424( 22 ) 300425( 46 ) Software Technology Lab - 1 Health Hygiene and Yoga Library TOTAL

240

1000

34

L-Lecture, T- Tutorial, P- Practical, ESE- End Semester Examination, CT- Class Test,TA- Teacher's Assessment Note (1) : Duration of all theory papers will be of Three Hours. Note (2) : Industrial Training of six weeks is mandatory for B.E. student . It is to be completed in two parts. The first part will be in summer after IV sem. after which students have to submit a training report which will be evaluated by the college teachers during B.E. V sem.

CHHATTISGARH SWAMI VIVEKANAND TECHNICAL UNIVERSITY, BHILAI (C. G.) Semester: B.E. 4th Sem. Subject: Computational Mathematics Total Theory Periods: 40 80 Total Marks in End Semester Exam: Minimum number of class tests to be conducted: Branch: Computer Science & Engg. Code: 322411 (14) Total Tutorial Periods: 10 02

UNIT– 1NUMERICAL SOLUTIONS OF ALGEBRAIC AND TRANSCENDENTAL EQUATIONS (No. of periods 8+2) Bisection Method, Regula-Falsi Method, Newton-Raphson Method, Secant Method, Birge-Vieta Method, Bairstow’s Method. UNIT– 2 NUMERICAL SOLUTIONS OF SIMULTANEOUS LINEAR EQUATIONS (No. of periods 8+2) Direct Methods - Gauss Elimination, Gauss-Jordan & Crout’s Triangularisation Method. Iterative Methods - Jacobi’s, Gauss- Siedal & Successive Over Relaxation Method. UNIT – 3 INTERPOLATION WITH EQUAL AND UNEQUAL INTERVALS (No. of periods 8+2) Finite differences, Newton’s Forward & Backward Difference Formulae, Central Difference Formula, Stirling’s Formula, Bessel’s Formula, Lagrange’s Formula and Newton’s Divided Difference Formula, UNIT – 4 NUMERICAL DIFFERENTIATION AND INTEGRATION (No. of periods 8+2) Derivatives using Forward, Backward and Central Difference Formulae. Newton-Cote’s Quadrature Formula, Trapezoidal rule, Simpson’s rules, Weddle’s rule. UNIT – 5 NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS (No. of periods 8+2) Picard’s Method, Taylor’s Series Method, Euler’s Method, Euler’s Modified Method, RungeKutta Methods, Predictor-corrector Methods- Milne’s Method, Adams-Bashforth Method. TEXT BOOKS: 1. Numerical Methods in Engineering and Science by Dr. B.S. Grewal, Khanna Publishers. 2. Numerical Methods for Scientific and Engineering Computation by M .K. Jain, S. R. K. Iyengar & R. K. Jain, Wiley Eastern Limited. REFERENCE BOOKS: 1. Numerical Methods for Scientists and Engineers by K. Shankar Rao, Prentice Hall of India. 2. Numerical Methods with C++ Programming, by Somasundaram & Chandrasekaran, Prentice Hall of India. 3. Numerical Methods, by S. S. Shastry, Prentice Hall Inc. India 1998.

CHHATTISGARH SWAMI VIVEKANAND TECHNICAL UNIVERSITY, BHILAI (C. G.) Semester: B.E. 4th Sem. Subject: Discrete Structures Total Theory Periods: 40 80 Total Marks in End Semester Exam: Minimum number of class tests to be conducted: Branch: Computer Science &...