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.
Matrix ComputationsEigenvalues and Cayley-Hamilton VerificationDifferential EquationsPlotting Conics and Surfaces
- 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
01Matrix Computations
4 topics+
- Entering matrices with matrix()
- Determinant, inverse and transpose
- Rank and echelon form
- Solving linear systems
02Eigenvalues and Cayley-Hamilton Verification
4 topics+
- charpoly(), eigenvalues() and eigenvectors()
- Verifying Cayley-Hamilton theorem
- Finding inverse using Cayley-Hamilton
- Diagonalisation
03Differential Equations
5 topics+
- ode2() for first-order equations
- ic1() initial conditions
- Plotting families of solutions
- Direction fields with plotdf()
- Orthogonal trajectories
04Plotting Conics and Surfaces
4 topics+
- implicit_plot() for conics
- plot3d() for sphere, cone, cylinder and paraboloid
- Contour plots
- Parametric surfaces
About this course
You will be able to
- Enter matrices in software and compute determinant, inverse, rank and echelon form
- Compute eigenvalues and eigenvectors and verify the Cayley-Hamilton theorem
- Solve first-order differential equations symbolically and plot solution families
- Plot conics and quadric surfaces in two and three dimensions
Who it is for
- B.Sc Mathematics students of Semester 2 (UP State Universities, NEP 2020)
- Students preparing for the B.Sc Mathematics practical examination and viva
What you need
- Theory of Matrices and Differential Equations and Geometry
- Free mathematical software (Maxima / wxMaxima) installed, or access to Mathematica / SageMath
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 2 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.
