Activity-1
To Verify that the relation R in the set L of all lines in a plane, defined by R = {(l, m): 1 m) is symmetric but neither reflexive nor transitive.
Activity-2
To verify that the relation R in the set L of all lines in a plane, defined by R = { (1, m): 1 m is an equivalence relation.
Activity-3
To demonstrate a function which is not one-one but is onto.
Activity-4
To demonstrate a function which is one-one but not onto
Activity-5
To draw the graph of sinx, using the graph of sin x and demonstrate the concept of mirror reflection (about the line y = x)
Activity-6
To explore the principal value of the function sinx, using a unit circle.
Activity-7
To sketch the graph of sa and alog x, (a>0, a 1) and to examine that they are mirror image of each other.
Activity-8
To establish a relationship between common logarithm (logie x) and natural logarithm)(logxe.
Activity-9
The find analytically the limit of a function at x = a and also check the continuity of the function at that point.
Activity-10
To verify that for a function/be continuous at point x, 0000QyfxxfxA=+A-is arbitrarily small provide is sufficiently small.
Activity-11
To verify Rolle's theorem
Activity-12
To verify Lagrange's Mean Value Theorem.
Activity-13
To understand the concept of decreasing and increasing functions
Activity-14
To understand the concepts of local maxima, local minima and point of inflexion
Activity-15
To understand the concepts of absolute maximum and absolute minimum values of function in a given closed interval.
Activity-16
To construct an open box of maximum volume from a given rectangular sheet by cutting equal squares from each corner.
Activity-17
To find time when the area of a rectangle of given dimensions become maximum, if length is decreasing and the breadth is increasing at given rates
Activity-18
To verify that amongst all the rectangles of given perimeter, the square has the maximum area.
Activity-19
To evaluate the definite integral (+2021 der as a limit of sum and verify it by actual integration.
Activity-20
To verify geometrically that beacbac
Activity-21
To verify that angle in a semi-circle is a right angle, using vector method
Activity-22
To locate the points to given coordinates in space, measure distance between two points in space and then to verify the distance using distance formula.
Activity-23
To demonstrate the equation of a plane in normal form.
Activity-24
To verify that the angle between two planes is the same as the angle between their normal.
Activity-25
To find the distance of given point (in space) from a plane (passing through three non collinear points) by actual measurement and also analytically.
Activity-26
To measure the shortest distance between two skew lines and verify it analytically.
Activity-27
To explain the computation of conditional probability of a given event A, when event B has already occurred, with the help of pair of dice.
Project-1
To minimize the cost of food, meeting the dietary requirements of the food.
Project-2
Estimation of the population of a particular region under the assumptions that there is no migration in or out of the existing population in a particular year.
Project-3
To find the coordinates of different points identified in our classroom using the concept of three-dimensional geometry. Then finding the distance between the identified points.
Project-4
Formation of differential equation to explain the process of cooling of boiled water to a given room temperature.
List of Project
