Free Micro Course-Problems on Mathematics for JEE Mains & Advance 2021

Micro Course on Differentiability and Functional Equations

A standard problem(s) that keeps appearing in JEE Main/Advanced tests every year is differentiability questions with functional equations. They appear highly complicated but in actuality, once you become skilled, these are among the more predictable of JEE problems. They involve starting out with the definition of the limit of a generic function, substituting the specific given functional equation and manipulating the resultant equation into revealing the solution. Concept and Skill Combo!

Oct 6, 2020 • 1h 0m

Bhaskar Garimella

Micro Course on Cracking JEE Problems in Quadratic Equations

Quadratic Equations is an easy chapter for JEE. And because it feeds into, and combines well with all other topics, it is a must do chapter for any JEE aspirant, both at Main and at Advanced levels. We look at essential subtopics like finding a paramter value to locate roots via conditions on D, f(a), f(b); Range of Q/Q Rational Functions involving a parameter; and Reciprocal Equations. We stress on both the theory and the skill needed to navigate through these standard scoring problems.

Oct 17, 2020 • 1h 0m

Bhaskar Garimella

Micro Course on Combinatorial Proofs to Crack Binomial Coefficients Problems

Series Problems involving Binomial Coefficients is standard fare in all tests from JEE Main & RMO to KVPY & JEE Advanced. Three tricks that all Educators stress on are differentiation, Integration and using a few standard Binomial Identities. What we learn in this Micro Course is a fourth way to do these problems which enables one to remember the result easily. It is much quicker and also suits students who prefer logical story telling to manipulating a lot of algebra without making mistakes.

Oct 20, 2020 • 1h 0m

Bhaskar Garimella

Micro Course in Multinomial Theorem Applications in in P & C Problems

Not all P & C problems satisfy the restrictions needed for the standard formula, (n + r - 1) C r to the number of Non-negative Integer Solutions, to be applicable. So we categorise various problems as cases of variations on the basic problem and devise tricks (Dummy Variables, PIE, etc.,) and utilise the Multinomial Theorem to solve these interesting variations. Students get a thorough understanding of these powerful techniques and get a firm grip on solving any such JEE Advanced/RMO problem

Oct 27, 2020 • 1h 0m

Bhaskar Garimella