Notes
Download or Study free, exam-ready Mathematics and Physics notes for JEE, NEET, Olympiad, and CSIR — concise, concept-first revision material.
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The topics in this section
The various topics discussed here are as in this image below.
As above in this section the material on the various topics is discussed to clear the concepts for various examinations in main subjects Mathematics and Physics. For example, topics of Physics cover examination syllabus of Physics Olympiad, JEE and CBSE and NEET. Similarly for main Mathematics the examination topics of Mathematics Olympiad, JEE Maths, CBSE Maths.
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Mathematics
13 lessonsNotes & Articles 10
Exponential Equations | Quadratic Functions | Algebra – Can you solve it?
In this article we will be solving exponential equations with embedded quadratic function. A quadratic function…
Read articleGreatest Integer Function | Quadratic equation -1
Here a totally different quadratic function is solved where greatest integers functions are used. In this…
Read articleCramer’s Rule – Formula , Examples | JEE Maths, CBSE Maths, Maths Honours-1
Learn Cramer's Rule for JEE Maths, CBSE Maths, B.Sc. Maths, Maths Honors with step-by-step examples,…
Read articleDiophantine Equations – Can you solve this?-1
Learn Diophantine equations step by step: how to find integer solutions, with worked examples on linear…
Read articleSolving Exponential Equations (JEE , Olympiad Maths)-1
Solving Exponential Equations - logarithmic function, logarithmic equation, Algebra
Read articleStirling Approximation : Solve a^11+b^11=11!
Can a¹¹ + b¹¹ = 11! have integer solutions? We use Stirling's approximation to estimate 11!,…
Read articleChinese Remainder Theorem
The Chinese Remainder Theorem is very important in Number Theory for examinations such as IOQM, RMO…
Read articleLambert W Function – Impossible math equation?
Many problems which looked impossible have been solved using the Lambert W Function. Here we solve…
Read articleNUMBER THEORY Problem – Last 4 Digits
Number Theory is the most important topic while preparing for Mathematics Olympiad. Here we provide guidance…
Read articlecalculus 1
Calculus 1 lays down a path for course contents being taken up under the course calculus.…
Read articleVideo Lessons 3
Functions Trap: Algebra Redefined?
Functions Trap: Why x = 1/49 Is the Answer (Not 1/4!)
OpenCalculus : Integral Inequality?
🧠 Challenge: Solve this WITHOUT evaluating the integral directly!
OpenCalculus : ∫ xˣdx = d/dx(xˣ) ?? – Is it a Trap?
While studying Calculus , Did you ever think of what would have happened to a function…
OpenPhysics
11 lessonsNotes & Articles 11
Kirchoff Law – KCL and KVL | Current and Electricty-1
Kirchoff law, Kirchoff Current Law (KCL), and Kirchoff Voltage Law (KVL) are discussed in this section…
Read articleQuantum Mechanics – Newtonian Mechanics Comparison
Quantum mechanics differs from Newtonian Mechanics in various aspects. These differences between the Quantum Mechanics and…
Read articleBohr Model Hydrogen Atom: Energy Transitions from Balmer Series to Lyman Series
Bohr Model Hydrogen Atom is a very important topic in Modern Physics. In this article…
Read articleSpecial Relativity- Calculating Momentum from Relativistic Kinetic Energy
Special Relativity -Mass-Energy Equivalence, Relativistic Kinetic Energy, Momentum conservation,Special theory of Relativity mentioned in Einstein Relativity.
Read articleSemiconductor-1
Semiconductors form the foundation of modern electronics, powering everything from smartphones to solar panels. For Class…
Read articleAngular Momentum Formula – Solved Example
In this post on the angular momentum formula, some solved examples are provided for a better…
Read articleBernoulli’s Equation -2 ( Practice Problems )
Here in this second part of the Bernoulli’s Equation, we discuss the Bernoulli effect and the…
Read articleBernoulli’s equation -1
Here in this post we will be discussing about the Bernoulli principle, the Bernoulli effect. Bernoulli’s…
Read articleSimple Pendulum- Subjected to 2 accelerations ?
Let us analyze the Simple Pendulum Time period and mean position when subjected to both horizontal…
Read articleAngular Momentum
There are basically two levels of studying physics. In the first level we understand the behavior…
Read articleUnits and Measurements in physics – 1
Units & measurements in Physics is the first topic to be understood well before going forward…
Read article