BSc Nautical Sciences APPLIED MATHEMATICS IV Syllabus - Mumbai University 2026
This degree runs on the Choice Based Credit System throughout, items 4.69, 4.70 and 4.71 of the Academic Council of 23 July 2020, in force from the academic year 2020-21. The University’s earlier Credit Based Semester and Grading System syllabus is what her older third-year timetables name, so check which scheme your exam form names before you revise.
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Syllabus for APPLIED MATHEMATICS - IV
Module I: Numerical Methods
- Newton– Raphson method, bisection method. Finite differences offirst and higher order, forward, backward differences, difference tables,shift operator – E. Interpolation: linear and quadratic interpolation, Newton’s forward and backward difference interpolation formulas, Langrangian interpolation, Solutions to systems of linear algebraic equations: Gause elimination, Gauss- Jordan method, Gauss-Seidel iteration Jacobi iteration.
Module II: Matrices
- Types of matrices. Adjoint of a matrix. Inverse of a matrix.Elementary transformations, rank of a matrix. Reduction to a normal form. Linear programming- problems and applications.Characteristic polynomial. Cayley Hamilton theorem. Functions of a square matrix, Minimal Polynomial, Diagonable matrix.Quadratic forms, Orthogonal.
Module III: Statistics
- Frequency distribution, Measures of central tendency; Mean, Median and Mode, Measures of variability, Range, Percentiles, Variance, Standard Deviation, Skewness, Moments, Discrete random variables and their probability distributions, Binomial and Poisson’s distributions, coefficient of Correlation, Lines of Regression – Rank Correlation .
Reference Books
- 1 A Text book for applied mathematics Wartikar P.N. &WartikarJ.N.
- 2 A Text Book of Matrices Shanti Narayan
- 3 Mathematical Statistics J.N.Kapur, H.C. Saxena
- 4 Statistics in Schaum’s Series Murray R.Spiegal
- 5 Probability& Statistics for engineers Myers
- 6 Higher Engineering Mathematics Dr. B.S. Grewal
- 7 Numerical methods for engineers S.K. Gupta
- 8 Operation Research, An introduction H.A. Taha
- 9 Operation research methods & Problems Sasieni, Yaspan, Friedman
- 10 Linear Programming G. Hadley
Reproduced from the University of Mumbai syllabus for B.Sc. (Nautical Science) under the Choice Based Credit System, in force from the academic year 2020-21. Wording is as printed in that syllabus. Module numbering is as printed there too.
The complete syllabus
This subject is cut from the University circular for its year. Open a document here if you want the whole thing rather than a single subject.