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Mathematics Practical-VI

B.Sc · Semester 6 — Programming numerical methods and solving optimisation problems on computer.

6 MonthsDuration 1Subject 4Chapters OnlineTests & result

Your roadmap · आपका रोडमैप

  1. 1
    Admission & first meetingप्रवेश और पहली मुलाकात

    Enquire at your nearest NDSS centre, meet the teacher, fix the batch time and get your study material.

  2. 2
    Work planकार्य योजना

    Step by step with your guide / trainer.

    Programming Basics for Numerical MethodsRoots of Equations and Linear SystemsInterpolation and Numerical IntegrationOptimisation Problems
  3. 3
    File, report & vivaफ़ाइल, रिपोर्ट और वाइवा

    Practical file / report checked, mock viva before the final one.

  4. 4
    Online tests & resultऑनलाइन टेस्ट और रिज़ल्ट

    Take the tests online; your marks and result show in your student login and at the centre.

Syllabus · पाठ्यक्रम

1 subject · 4 chapters · 16 topics

01Programming Basics for Numerical Methods 4 topics
  1. Variables, loops and functions
  2. Tolerance and stopping criteria
  3. Tabulating and plotting results
  4. Error measurement
02Roots of Equations and Linear Systems 4 topics
  1. Bisection program
  2. Newton-Raphson program
  3. Gauss elimination with pivoting
  4. Gauss-Seidel iteration
03Interpolation and Numerical Integration 4 topics
  1. Newton forward interpolation
  2. Lagrange interpolation
  3. Trapezoidal rule
  4. Simpson's 1/3 and 3/8 rules
04Optimisation Problems 4 topics
  1. Graphical solution of LPP with plots
  2. Simplex solution with a solver (linprog)
  3. Transportation problem
  4. Assignment problem (linear_sum_assignment)

About this course

You will be able to

  • 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

Who it is for

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

What you need

  • Theory of Numerical Analysis and Operations Research
  • Free software (Python with NumPy / SciPy, Scilab or Maxima) installed
Online tests & result Practice and unit tests online; marks and result show in your student login and at the centre. Student login →

Questions

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.

Download the syllabus (PDF)

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