Mathematics Practical-I (B.Sc Mathematics)

Solving calculus problems and plotting curves using mathematical software such as Maxima or Mathematica.

6 MonthsDuration 4Chapters20Topics

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Syllabus · पाठ्यक्रम

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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

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

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.