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.
Higher Order ODEs (Symbolic)Numerical Solution of ODEsPartial Differential EquationsMechanics Problems
- 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.
सिलेबस · पाठ्यक्रम
1 subject · 4 chapters · 16 topics
01Higher Order ODEs (Symbolic)
4 टॉपिक+
- ode2() for second-order equations
- ic2() and bc2()
- Verifying solutions by substitution
- Variation of parameters
02Numerical Solution of ODEs
4 टॉपिक+
- Euler's method
- Modified Euler method
- Fourth-order Runge-Kutta (rk)
- Error compared with exact solution
03Partial Differential Equations
4 टॉपिक+
- Heat equation by separation of variables
- Wave equation solutions
- Surface plots with plot3d
- Animating solutions
04Mechanics Problems
4 टॉपिक+
- Projectile trajectories and range
- Simple harmonic motion
- Resultant of forces
- Central orbits and catenary plots
About this course
आप यह कर पाएँगे
- Solve higher-order ODEs symbolically and apply initial and boundary conditions
- Program Euler and Runge-Kutta methods and compare with exact solutions
- Plot solutions of heat and wave equations obtained by separation of variables
- Simulate and plot projectile, SHM and central orbit problems
यह किसके लिए है
- B.Sc Mathematics students of Semester 4 (UP State Universities, NEP 2020)
- Students preparing for the B.Sc Mathematics practical examination and viva
आपको क्या चाहिए
- Theory of Differential Equations and Mechanics
- 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 →
सवाल
Which syllabus does this lab course follow?
It follows the B.Sc Mathematics Semester 4 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.
