ACTIVITIES
1    :    To verify that the relation R in the set L of all lines in a plane, defined by R = {(l,m) : ^  m} is symmetric but neither reflexive nor transitive
2    :    To verify that the relation R in the set L of all lines in a plane, defined by R = {(l, m) : l || m} is an equivalence relation
3    :    To demonstrate a function which is not one-one but is onto
4    :    To demonstrate a function which is one-one but not onto
5    :    To draw the graph of sin–1 x, using the graph of sin x and demonstrate the concept of mirror reflection (about the line y = x)
6    :    To explore the principal value of the function sin–1 x using a unit circle
7    :    To sketch the graph of ax and loga x, a > 0, a # 1 and to examine that they are mirror images of each other
8    :    To establish a relationship between common logarithm (to the base 10) and natural logarithm (to the base e) of the number x
9    :    To find analytically the limit of a function f (x) at x = c and also to check the continuity of the function at that point
10    :    To verify that for a function f to be continuous at given point x0, Dy = | f (x0 + Dx) – f (x0)| is arbitrarily small, provided Dx is sufficiently small
11    :    To verify Rolle’s Theorem
12    :    To verify Lagrange’s Mean Value Theorem
13    :    To understand the concepts of decreasing and increasing functions
14    :    To understand the concepts of local maxima, local minima and point of inflection
15    :    To understand the concepts of absolute maximum and minimum values of a function in a given closed interval through its graph
16    :    To construct an open box of maximum volume from a given rectangular sheet  by cutting equal squares from each corner
17    :    To find the time when the area of a rectangle of given demensions become maximum, if the length is decreasing and the breadth increasing at given rates
18    :    To verify that amongst all the rectangles of the same perimeter, the square has the maximum area
19    :    To evaluate the definite integral òba Ö(1 – x2) dx as the limit of a sum and verify it by actual integration
20    :    To verify geometrically that c × (a + b) = c × a + c × b
21    :    To verify that angle in a semi-circle is a right angle, using vector method
22    :    To locate the points to given coordinates in space, measure the distance between two points in space and then to verify the distance using distance formula
23    :    To demonstrate the equation of a plane in normal form
24    :    To verify that the angle between two planes is the same as the angle between their normals
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
26    :    To measure the shortest distance two skew-lines and verify it analytically
27    :    To explain the computation of conditional probability of a given event A, when event B has already occurred, through an example of throwing a pair of dice
PROJECTS
1    :    To minimise the cost of the food, meeting the dietary requirements of the staple food of the adolescent students of your school
2    :    Estimation of the population of a particular region/country under the assumptions that there is no migration in or out of the existing population in a particular year
3    :    Finding the coordinates of different points identified in your classroom using the concepts of three dimensional geometry and also find the distances between the identified points
4    :    Formation of differential equation to explain the process of cooling of boiled water to a given room temperature
Log and Antilog