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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Work planकार्य योजनाStep by step with your guide / trainer.
Introduction to Mathematical SoftwareLimits, Derivatives and SeriesPlotting and Curve TracingIntegration and Special Functions
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File, report & vivaफ़ाइल, रिपोर्ट और वाइवाPractical file / report checked, mock viva before the final one.
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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 · 4 chapters · 20 topics
01Introduction to Mathematical Software
5 topics+
- Installing Maxima / wxMaxima
- Syntax, ; and $ terminators
- Variables, functions and lists
- Constants %pi, %e and %i
- Help and documentation
02Limits, Derivatives and Series
5 topics+
- limit() including one-sided limits
- diff() and successive derivatives
- Verifying Leibnitz theorem
- taylor() expansions
- Maxima and minima of functions
03Plotting and Curve Tracing
5 topics+
- plot2d for Cartesian curves
- Parametric curves
- Polar curves: cardioid, lemniscate, rose
- Asymptotes and tangents on plots
- Saving plots
04Integration and Special Functions
5 topics+
- integrate() for indefinite and definite integrals
- Improper integrals
- Numerical integration with quad_qags
- beta() and gamma() functions
- Double integrals, area and volume
About this course
You will be able to
- Use Maxima (or Mathematica) for arithmetic, functions and lists
- Compute limits, derivatives and Taylor series with software and check by hand
- Plot Cartesian, parametric and polar curves and identify their features
- Evaluate definite, improper and double integrals and Beta / Gamma values
- Save a worksheet record of each practical for the viva
Who it is for
- B.Sc Mathematics students of Semester 1 (UP State Universities, NEP 2020)
- Students preparing for the B.Sc Mathematics practical examination and viva
What you need
- Theory of Differential Calculus and Integral Calculus
- 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 1 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.