DEPARTMENT OF MATHEMATICS

  1. Suspension bridge: Suspension bridges are known for their long spans. These bridges feature a deck with vertical supports, from which long wire cables hang above. Notably, the way these cables are hung resemble the shape of a parabola.
  2. Konigsberg Problem: The Seven Bridges of Königsberg is a historically notable problem in mathematics. Its solution given by Euler in 1736 laid the foundations for the subject Graph theory.
  3. Utilities Problem K(3,3): There are three houses (or squares) drawn on paper and below them three smaller squares representing gas, water, and electricity suppliers. The game is to draw lines to get each utility into every house, without crossing over any line, which was proved impossible by Kuratowski.
  4. Tower of Hanoi: The Tower of Hanoi is a mathematical game or puzzle. It consists of three rods, and a number of disks of different sizes which can slide onto any rod. The puzzle starts with the disks in a neat stack in ascending order of size on one rod, the smallest at the top, thus making a conical shape.
  5. A model for Probability: Probability is a type of ratio where we compare how many times an outcome can occur compared to all possible outcomes.
  6. Centroid of a Triangle: A centroid of a triangle is the point where the three medians of the triangle meet. The centroid is also called the center of gravity of the triangle.
  7. Fixing irrational numbers in a line: Irrational number is any real number which cannot be expressed as a fraction a/b, where a and b are integers, with b non-zero. Irrational numbers are plotted in a real line.
  8. Measuring the height using Trigonometry: Trigonometry is a branch of mathematics dealing with measurements of the angles and sides of triangles, and functions based on these measurements. If we know the length of the adjacent side (x), we can determine the length of the opposite side (y), the height of the tree or building).
  9. Counting the balls inside a Pyramid: When balls of equal size are stacked into a pyramid with a triangular base, i.e., a tetrahedron, the number of balls on the bottom layer is n(n+1)/2, where n is the number of balls in the longest row along the base. The total number of balls in the pyramid is n(n+1)(n+2)/6.
  10. Jumping Monkey – A puzzle: A water tank has steps inside it. A monkey is sitting on the topmost step. The water level is at the ninth step. The monkey jumps 3 steps down and then jumps back 2 steps up. In how many jumps will it reach the water level?
  11. Properties of a Triangle: The sum of the measures of the interior angles of a triangle is 180. Some examples are given involving the Triangle Sum Theorem to help us see its utility.
  12. Some algebraic identities: Some identities were proved by area of the square and rectangles.
  13. Phythagoras Theorem: It states that in a right angled triangle, the square of the largest side (Hypotenuse) is equal to the sum of the squares of the other two sides(Perpendicular and the base). We verify the Pythagoras theorem by method of Paper Folding, Cutting and Pasting.
  14. Tap-Tap: A fun game to guess the selected number between 1 and 25.
  15. 3D math models: Display of selected 3D mathematical models like cone, cylinder, cube, etc.