Teaching & Education

Hi Ankush, Good to know that you want to make your career in teaching line!
As the commerce field has many career opportunities in the lectureship field, this decision would prove as the right one for you. To become a lecturer in any university, the UGC NET qualification is compulsory. If you're not aware of this exam, you can visit the page to get the complete details for the same - https://www.eduncle.com/cbse-ugc-net-exam click on the link & know what is UGC NET Exam. However, to appear in the exam, you'd be required to have a PG degree in commerce. Only after that, you'd be eligible for this exam. This exam is conducted only for those who want to make career in research & lectureship. And even the Indian Government has made it mandatory for every aspirant to first qualify this exam and then apply for lectureship jobs. If you're seriously passionate about teaching, go for it!
Good Luck!

Unit-1
Inequalities involving arithmetic, geometric, and harmonic means, Cauchy-Schwarz
inequality. Unit-2
Sequences: Cauchy sequence, Cauchys General principle of convergence, Subsequences, Convergence and divergence of monotonic sequences, Sandwich theorem. Infinite series: statements of basic properties of infinite series (without proofs), Convergence, Absolute and conditional convergences. Tests for convergence: Comparison test, Ratio test, Raabes test, Leibnitzs test. Unit-3
Functions of one variable: Limit, Continuity, Differentiability, Rolls Theorem, Mean value
theorems and applications, Taylors theorem. Unit-4
Critical points, convexity, curvature of plane curves, Asymptotes. Curve tracing: tracing of catenary, cissoids, asteroid, cycloid, folium of Descartes, cardioid, lemniscate. Unit-5
Functions of two or more variables: Limit, Continuity, Partial derivatives, Eulers theorem on
homogeneous functions, Differentiability, Chain rule, Directional derivatives, Gradient
vectors and Tangent planes, Taylors theorem (statement only), Criteria for
Maxima/Minimal/Saddle points, Lagranges method of multipliers.