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Numerical Analysis and Operations Research (B.Sc Mathematics)

Interpolation, numerical solution of equations and integration, linear programming, transportation and assignment problems.

6 महीनेअवधि 5Chapters26टॉपिक
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सिलेबस · पाठ्यक्रम

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01Unit 1: Finite Differences and Interpolation 5 टॉपिक
  1. Forward, backward and central differences
  2. Shift operator E
  3. Newton forward and backward interpolation
  4. Lagrange interpolation
  5. Divided differences
02Unit 2: Numerical Solution of Equations 6 टॉपिक
  1. Bisection method
  2. Regula falsi
  3. Newton-Raphson method
  4. Iteration method and convergence
  5. Gauss elimination
  6. Gauss-Seidel iteration
03Unit 3: Numerical Integration and ODEs 5 टॉपिक
  1. Trapezoidal rule
  2. Simpson's 1/3 and 3/8 rules
  3. Errors in quadrature
  4. Euler's method
  5. Runge-Kutta methods
04Unit 4: Linear Programming 5 टॉपिक
  1. Formulation of LPP
  2. Graphical method
  3. Simplex method
  4. Big-M method
  5. Duality
05Unit 5: Transportation and Assignment Problems 5 टॉपिक
  1. North-west corner rule
  2. Least cost and Vogel's approximation methods
  3. MODI method and optimality
  4. Degeneracy
  5. Hungarian method for assignment

परिचय

आप यह कर पाएँगे

  • Use finite differences and Newton and Lagrange interpolation formulas
  • Find roots of equations by bisection, regula falsi and Newton-Raphson methods
  • Solve linear systems by Gauss elimination and Gauss-Seidel iteration
  • Evaluate integrals by trapezoidal and Simpson's rules
  • Formulate and solve linear programming problems by graphical and simplex methods
  • Solve transportation and assignment problems

यह किसके लिए है

  • B.Sc Mathematics students of Semester 6 (UP State Universities, NEP 2020)
  • Students preparing for end-semester theory papers of Mathematics

आपको क्या चाहिए

  • Calculus and matrices of earlier semesters
  • A scientific calculator

सवाल

Which syllabus does this subject 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?

Through unit-wise multiple-choice tests, a final test paper and doubt-clearing sessions that follow the university examination pattern.

Will this help in the semester examination?

Yes. Units are taught in the university order with solved numericals and exam-pattern questions.

Download the syllabus (PDF)

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