Your roadmap · आपका रोडमैप
- 1
Admission & first meetingप्रवेश और पहली मुलाकातEnquire at your nearest NDSS centre, meet the teacher, fix the batch time and get your study material.
- 2
Work planकार्य योजनाStep by step with your guide / trainer.
Groups and Rings on ComputerLinear Algebra ComputationsNumber Theory ProgramsGame Theory
- 3
File, report & vivaफ़ाइल, रिपोर्ट और वाइवाPractical file / report checked, mock viva before the final one.
- 4
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 · 4 chapters · 18 topics
01Groups and Rings on Computer
4 topics+
- Cayley tables and subgroups
- Units and zero divisors of Z_n
- Ideals of Z_n
- Checking Sylow counts for small groups
02Linear Algebra Computations
5 topics+
- Basis and dimension of a span
- Rank-nullity verification
- Matrix of a linear map
- Gram-Schmidt orthonormalisation
- Diagonalisation
03Number Theory Programs
5 topics+
- GCD and extended Euclidean algorithm
- Sieve of Eratosthenes
- Modular exponentiation and inverses
- Chinese remainder theorem
- Euler phi and divisor functions
04Game Theory
4 topics+
- Saddle point detection
- 2 x 2 mixed-strategy formula
- Dominance reduction
- Solving games by linear programming
About this course
You will be able to
- Compute units, zero divisors and subgroups of Z_n on computer
- Carry out linear algebra computations such as rank-nullity and Gram-Schmidt
- Program the Euclidean algorithm, extended Euclid, sieve, modular powers and CRT
- Detect saddle points and solve games by formula and linear programming
Who it is for
- B.Sc Mathematics students of Semester 5 (UP State Universities, NEP 2020)
- Students preparing for the B.Sc Mathematics practical examination and viva
What you need
- Theory of Group and Ring Theory, Linear Algebra, Number Theory and Game Theory
- Free mathematical software (Maxima / wxMaxima, SageMath or Python) 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 5 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.
