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.
Group Theory on ComputerLaplace TransformsFourier Series and TransformsSpecial Functions
- 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 · 17 topics
01Group Theory on Computer
5 topics+
- Cayley tables of Z_n and U(n)
- Checking group axioms
- Orders of elements
- Cyclic subgroups and cosets
- Permutation groups
02Laplace Transforms
4 topics+
- laplace() and ilt() commands
- Shifting theorems checked on computer
- Solving IVPs with Laplace transforms
- Convolution
03Fourier Series and Transforms
4 topics+
- Computing Fourier coefficients
- Plotting partial sums
- Gibbs phenomenon
- Half-range series
04Special Functions
4 topics+
- Legendre polynomials (legendre_p)
- Verifying orthogonality
- Bessel functions (bessel_j) and their plots
- Checking recurrence relations
About this course
You will be able to
- Build Cayley tables and test group properties of Z_n and U(n) on computer
- Find orders of elements, cyclic subgroups and cosets using software
- Compute Laplace and inverse Laplace transforms and solve initial value problems
- Compute Fourier coefficients and plot partial sums of Fourier series
- Evaluate and plot Legendre polynomials and Bessel functions
Who it is for
- B.Sc Mathematics students of Semester 3 (UP State Universities, NEP 2020)
- Students preparing for the B.Sc Mathematics practical examination and viva
What you need
- Theory of Algebra and Mathematical Methods
- 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 3 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.
