Mean Value Theorem – Differential Calculus for GATE, ESE, AE/JE Mean Value Theorem (MVT) is one of the most important results in Differential Calculus. It connects continuity and differentiability and is frequently asked in GATE, ESE, AE/JE exams. Types of Mean Value Theorems Rolle’s Theorem Lagrang...
Continuity & Differentiability – Differential Calculus for GATE, ESE, AE/JE | Priyanka Ma’am Continuity and Differentiability are core concepts of Differential Calculus and are frequently asked in GATE, ESE, AE/JE exams. These concepts help in understanding the behavior of functions and form the bas...
Limits – Differential Calculus for GATE, ESE, AE/JE Limits form the foundation of Differential Calculus and are extremely important for GATE, ESE, AE/JE exams. Understanding limits is essential before learning continuity and differentiation. Basic Concept The limit of a function describes the value ...
Diagonalization of Matrix – Engineering Maths for GATE, ESE, AE/JE | Priyanka Ma’am Diagonalization of a matrix is an important concept in Linear Algebra. It is widely used in simplifying matrix powers and is frequently asked in GATE, ESE, AE/JE exams. Basic Concept A square matrix A is said to be d...
Cayley-Hamilton Theorem – Engineering Maths for GATE, ESE, AE/JE | Priyanka Ma’am The Cayley-Hamilton Theorem is one of the most important concepts in Linear Algebra. It is frequently used in GATE, ESE, AE/JE exams to find higher powers of matrices and inverse easily. Statement of Cayley-Hamilton Th...