## JELET Syllabus Engineering Mathematics:

**Matrix & Vector:**

Matrix – definition – order of a matrix – leading element – principal diagonal. Types of matrices – Null matrix – Square matrix – identity matrix – upper and lower triangular matrix – symmetric matrix

Determinant of a square matrix – minors and cofactors – procedures for evaluation – properties of determinants (no deduction) – evaluation of determinant by Ohio’s method (4^{th} order) – problems

Concept of vector – addition and subtraction of vectors – multiplication of a vector by a scalar – position vector of a point – ratio formula – rectangular resolution of a vector – dot and cross product – geometrical interpretation – distributive law – applications.

**Numerical Methods:**

Meaning of interpolation – difference table – Newton’s forward interpolation formula (no deduction) – problems

Numerical solution of non – linear equations – formula for Newton – Raphson method (no deduction) – problems

Numerical Solution of system of linear equation – Gauss – Elimination Method (No Deduction) – Problems

**Differential equations:**

Definition – order and degree of a differential equation – differential equations of 1^{st} order and 1^{st} degree – Separation of variables – problems

Homogeneous differential equations – equations reducible to the homogeneous form – problems

Exact differential equations – equations reducible to the exact form – problems. Linear equations – Bernoulli’s equations.

Differential equation of 2^{nd} order with constant co – efficient – Complementary function and particular integral – problems

**Partial Differentiation:**

Function of two or more variables – definition and meaning of partial derivatives (1^{st} order ) . homogeneous functions – Euler’s theorem on homogeneous functions ( no deduction) problems.

**Probability and Statistics:**

Introduction – random experiment – Sample space – events. Classical and axiomatic definition of probability multiple theorem – related problems.

Statistics – Frequency distribution

Measure of central tendency – Mean – Median – Mode – Standard Deviation – Simple problems