Mathematics Practical-VI (B.Sc Mathematics)

Programming numerical methods and solving optimisation problems on computer.

6 महीनेअवधि 4Chapters16टॉपिक

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सिलेबस · पाठ्यक्रम

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01Programming Basics for Numerical Methods 4 टॉपिक

Variables, loops and functions
Tolerance and stopping criteria
Tabulating and plotting results
Error measurement

02Roots of Equations and Linear Systems 4 टॉपिक

Bisection program
Newton-Raphson program
Gauss elimination with pivoting
Gauss-Seidel iteration

03Interpolation and Numerical Integration 4 टॉपिक

Newton forward interpolation
Lagrange interpolation
Trapezoidal rule
Simpson's 1/3 and 3/8 rules

04Optimisation Problems 4 टॉपिक

Graphical solution of LPP with plots
Simplex solution with a solver (linprog)
Transportation problem
Assignment problem (linear_sum_assignment)

परिचय

आप यह कर पाएँगे

Write programs with loops, functions and stopping criteria for numerical methods
Program bisection, Newton-Raphson, Gauss elimination and Gauss-Seidel methods
Program interpolation formulas and trapezoidal and Simpson's rules
Solve LP, transportation and assignment problems with software solvers

यह किसके लिए है

B.Sc Mathematics students of Semester 6 (UP State Universities, NEP 2020)
Students preparing for the B.Sc Mathematics practical examination and viva

आपको क्या चाहिए

Theory of Numerical Analysis and Operations Research
Free software (Python with NumPy / SciPy, Scilab or Maxima) installed

सवाल

Which syllabus does this lab course follow?

It follows the B.Sc Mathematics Semester 6 syllabus of the UP State Universities (NEP 2020 common minimum syllabus). Where your own university's syllabus differs, the centre follows your university syllabus.

How are students assessed at the centre?

The trainer watches each experiment and marks it on a rubric (set-up, observations, calculation and viva); viva-style questions revise the theory behind the experiments.

Will this help in the semester examination?

Yes. The experiments match the university practical examination, including the record file and viva.