The spectral theorem
The spectral theorem is also an significant theorem of linear algebra; theorems and corollaries are discussed as well as in last there is an example too
Normal Operator
This is one of the types of operators i.e. normal operator; it's definition, theorems and some general properties of normal operators
Heat capacity
Heat capacity: purity pf states in one dimension and purity of states in three dimension; Dibye model And in last we find out the heat capacity by using diagram
Orthogonal projection
The orthogonal projection is an important topic of linear algebra; for this knowledge of linear operator should be there; geometric representation
Trigonometric equations
This is the assignment of trigonometric equations..... Actually a trigonometric equation is an equation Which involves trigonometric functions..... There are around 3p questions for the same
Ballistic Pendulum
Ballistic Pendulum have two types of energy..... Kinetic energy and potential energy and it also has momentum conservation.... Energy conservation for pendulum
The rocket
This is the system of variable mass i.e. the rocket, it's diagram, principle, theory, firstly at initially at time t..... Calculate the final velocity attained by the rocket and then at last, the conditions on which final velocity depends
Scattering angle
We find the scattering angle when at the centre of mass frame...... We have different cases for the different scattering angles like if mass 1 > mass 2 , or if mass 2< mass 1 or if both are equal, etc, etc many other cases too
Poisson's ratio
Poisson's ratio definition... Actually it is the ratio between lateral strain and linear strain and it is denoted by sigma... then we have the relation connecting the elastic constants and then at last, the limitations of poisson's ratio
Solid cylinder
Twisting couple on a cylinder....i.e. Case of a solid cylinder on a wire and the second case is of case of hollow cylinder and then we find a relation between them
Hooke's law and stress
This is the introduction of elasticity, the property by which bodies regain their original shape.... Very important Hooke's law, definition of stress and strain And elastic constants like young's modulus, bulk modulus and compressibility
Introduction
This is the intro of vector integration in which we discuss line integrals, scalar potential and conservative force field and also work done.... There are many questions for practice for vector Integration