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Syllabus BCA208
Scientific and statistical Computing
Gujarat University FY BCA Syllabus (Revised) Effective from June, 2006
| 1. | Noramalised Floatting Point And Errors | 10% |
| Different Types of Errors in Numeric Computation | ||
| Floating Point Numbers | ||
| Normalize Floating point representation | ||
| Pitfalls and algebraic operation (without error Propagation) | ||
| 2. | Numerical Solution Of Non-linear Equations | 20% |
| Introduction and applications of non linear equations | ||
| methods of finding solution of nonlinear equations | ||
| Bisection method | ||
| False Position method | ||
| Secant method | ||
| Newton-Rap son methods | ||
| General Discussion on convergence of these methods ( No Mathematical derivations ) | ||
| 3. | Interpolation Andcurvefitting | 25% |
| Introduction and applications of Interpolation | ||
| Inverse interpolation | ||
| Extrapolation | ||
| Finite Differences | ||
| Newton’s Forward Difference | ||
| Backward Difference | ||
| Divided Difference | ||
| Interpolation Formulas (With proof) | ||
| Lagrange’s Interpolation Formula | ||
| LaGrange’s inverse Interpolation Method of Last Square | ||
| Fitting of Straight Line | ||
| Polynomial | ||
| Geometric curve | ||
| Exponential curve | ||
| 4. | Frequency Distribution | 10% |
| Introduction and applications of central tendency | ||
| Frequency Tables | ||
| Graphs | ||
| Frequency Curves | ||
| Weighted | ||
| Arithmetic | ||
| Harmonic and Geometric means | ||
| Median | ||
| Mode | ||
| Variance | ||
| Standard deviation | ||
| 5. | Probability And Mathematical Expectation | 25% |
| Introduction and various related terms of probability | ||
| Conditional probability | ||
| Bayer’s Rule | ||
| application of Bayer’s rule Probability distribution related to mathematical expectation | ||
| 6. | Corrlation And Regression | 10% |
| Introduction | ||
| Definitions | ||
| Properties | ||
| application of Correlation regression | ||
| Various method of correlation | ||
| regression equations | ||
| Probable error. | ||
| TEXT BOOK: | ||
| Computer Oriented Numerical Methods, Salaria, Khanna Publication | ||
| Statistics and Soluition By V.K. Kapoor | ||
| REFERNCE BOOKS | ||
| Computer Oriented Numerical Method By V. Rajaraman, PHI | ||
| Numerical analysis and Computational Procedures By S.A. MOLLAH |
| Total Marks of this Subject | 100 Marks |
| External (University ) Examination | 70 Marks |
| Internal Sessional Examination | 20 Marks |
| Term Work | 10 Marks |
| Teaching Hours per week | 3 Hrs |
| Practicals | Based on syllabus using c, c++, and Excel (Simple problems). |
Last Updated on 10th Jun 2009