Your roadmap · आपका रोडमैप
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Admission & first meetingप्रवेश और पहली मुलाकातEnquire at your nearest NDSS centre, meet the teacher, fix the batch time and get your study material.
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Part 1 of the syllabusपाठ्यक्रम भाग 1Unit-wise coaching with notes and doubt classes.
Unit 1: Finite Differences and InterpolationUnit 2: Numerical Solution of EquationsUnit 3: Numerical Integration and ODEs
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Part 2 of the syllabusपाठ्यक्रम भाग 2Unit-wise coaching with notes and doubt classes.
Unit 4: Linear ProgrammingUnit 5: Transportation and Assignment Problems
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Unit tests & assignmentsयूनिट टेस्टRegular tests in the university / board pattern.
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Semester 6 exam (university / board)विश्वविद्यालय / बोर्ड परीक्षाPrevious papers and full revision before the exam.
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Online tests & resultऑनलाइन टेस्ट और रिज़ल्टTake the tests online; your marks and result show in your student login and at the centre.
Syllabus · पाठ्यक्रम
1 subject · 5 chapters · 26 topics
01Unit 1: Finite Differences and Interpolation
5 topics+
- Forward, backward and central differences
- Shift operator E
- Newton forward and backward interpolation
- Lagrange interpolation
- Divided differences
02Unit 2: Numerical Solution of Equations
6 topics+
- Bisection method
- Regula falsi
- Newton-Raphson method
- Iteration method and convergence
- Gauss elimination
- Gauss-Seidel iteration
03Unit 3: Numerical Integration and ODEs
5 topics+
- Trapezoidal rule
- Simpson's 1/3 and 3/8 rules
- Errors in quadrature
- Euler's method
- Runge-Kutta methods
04Unit 4: Linear Programming
5 topics+
- Formulation of LPP
- Graphical method
- Simplex method
- Big-M method
- Duality
05Unit 5: Transportation and Assignment Problems
5 topics+
- North-west corner rule
- Least cost and Vogel's approximation methods
- MODI method and optimality
- Degeneracy
- Hungarian method for assignment
About this course
You will be able to
- 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
Who it is for
- B.Sc Mathematics students of Semester 6 (UP State Universities, NEP 2020)
- Students preparing for end-semester theory papers of Mathematics
What you need
- Calculus and matrices of earlier semesters
- A scientific calculator
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 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.
