__Syllabus__

__Syllabus__

**Subject: **Computational Methods & Programming

**Subject Code: **09020302

S. No. |
Topic |
Domain |
Hours as per UGC |

1 | Programming in C: 1. Constants, variables & data types. 2. Data Input & data output 3. Control Structures 4. If, switch, while, do while, for & Go statements } 5. Functions & pointers 6. Arrays & array of structures 7 Union and File operations 8. Examples of writing C- programming of computational methods. |
Nice to Know Must Know |
10 hrs |

2 | Roots of Equations; 1.Limits for real roots of a polynomial equations 2. Bisection method 3. False position method 4. Newton Raphson method 5. Numerical based on Bisection, False position & Newton Raphson method |
Must Know |
10 hrs |

3 | Linear Algebra: 1. Eigen values and Eigen vectors of a matrix 2. Inverse of a matrix, Determinant 3. Solution of linear systems of equations by Gauss Elimination method 4. Pivotal condensation method 5. Numerical Problems based on Eigen values & Eigen vectors of matrix & Gauss elimination method |
Must Know |
10 hrs |

4 | Integration and differentiation: 1. Trapezoidal rule 2. Simpson Rule (one – third) 3. Solution of Ordinary Differential Equations by Euler Method 4. Runge Kutta method. 5. Numerical Problems based on Trapezoidal rule, Simpson rule, Euler & Runge Kutta method |
Must Know |
10 hrs |

**Reference/ Taxt Books:**

- Byron S. Gottfried. Schaum’s outline of Theory and Problems of Programming with C. New Delhi: Tata McGraw-Hill,1991.
- Suresh Chandra. Application of Numerical Techniques with C. New Delhi: Narosa Publishing House, 2006.
- Brain W. Kernighan and Dennis. M. Ritchie. The C Programming Language. 2nd ed. New Delhi: Prentice-Hall of India, 1988.
- E. Balagurusamy. Numerical Methods. New Delhi: Tata McGraw-Hill, 1999.
- A.K. Ghattak, T.C. Goyal and S.J. Chua. Mathematical Physics. New Delhi: Macmillan, 1995.