Class room Assignment

Dear Students (1st yr/2nd yr)

For internal of 25 marks, you have to go through VIVA (10 marks) + Assignment (15 Marks). 

Viva is for individual whereas the assignment is for group.

1. Make a group of 4-5 (Maximum) students 

2. Use thick board and colors to design a beautiful game/ teaching aid /posters etc.

3. ONLY ONE ASSIGNMENT PER GROUP IS ESSENTIAL. ACTIVITIES OF EACH GROUP SHOULD BE DIFFERENT

 

Last date of submission is 15/01/2024

Any group submitting after 15th Jan will not be evaluated.

1. Fraction Disc:- Make a circular disc like clock having some depth. Make different cut-outs as shown here to fit the inner part of the circle to show 1/2, 1/3, 1/4 , 1/5 , 1/6 , 1/8 . 1/9 , 1/10, 1/12. Keep the thickness of the cut out as 4mm (minimum dimension). 

2. Fraction Walls :- In fraction wall take multiple strips of dimension 30cm x 2cm. Divide these strips in 2, 3, 4, 5, -- 12 equal parts and place them on a wall as shown below. the wall should be decorated nicely. 

3. Sierpinski Triangle :- Take an equilateral triangles of size 10cm. Join its mid points to make 4 congruent triangles. Shade /cut out the middle triangles. Join the mid points of 3 remaining triangles and cut-out the middle part or shade it differently. Repeat this activity 7 times and use different colours each time.

4. Fraction Dominoes :- Make a set of 54 dominoes. One one part of it write fraction values and on the other part make a diagram. Both should be different. Arrange them so that a new structure is formed.

5. Mathematical Maze:- Design a mathematical maze for Fraction/ Addition -Subtraction / Algebraic Formula/ Geometry/ Mensuration (ANY TWO)

6. Mathematical Tambola :- Make 1 -25 number cards and use them to make mathematical sign, shapes.

7.  Mathematical Calendar :- Make a calendar that has Mathematicians Birthday in each Month. Minimum 6 Mathematicians birthday per month is compulsory.

 For information check :- 

Mathematicians Of The Day Index - MacTutor History of Mathematics (st-andrews.ac.uk)

8. Game of Nim:- Design Game of Nim and prepare  Nim game with 1 page printed instructions

9. Quadrilateral Family Chart:- Make a quadrilateral family chart highlighting all quadrilateral.

10. Types of Number :- Make a chart paper with thickness of 5mm , highlighting types of Numbers and its definition and examples.  

11. Dots and Boxes games:- Make a board game of dots and boxes. You can make geoboard to play this game. 

12. DESIGN YOUR HOME:- Make Beautiful houses with the help of 8 polygons and one circle.

 

RAMANUJAN QUIZ DAY -9

 Today is the 9th day of quiz.

As you all aware of the facts that Dr Manmohan Singh has introduced 22nd December to be celebrated as National Mathematics Day. It was he who released a postal stamp on Ramanujan in 2011.

2. The first stamp on Ramanujan was released in the year 1962 by postal department to commemorate the 75th birthyear of Ramanujan.

CLICK HERE TO PLAY THE PREVIOUS DAYS QUIZ

3. In the year 2016, another stamp on mathematical genius was released.

4. In the year 2012, which was observed as NATIONAL MATHEMATICS YEAR throughout the country, a special postal stamp was released.

Hope you are enjoying the quiz and noting down some of the important facts on Ramanujan. It is the time to play the quiz.

                 QUIZ TIME (DAY - 9- CLICK HERE) 

DR RAJESH KUMAR THAKUR

RAMANUJAN QUIZ DAY - 8

 1. Ramanujan was born in Erode in his maternal mother's house. It is unfortunate that this house was discovered in year 2012 by Susumu Sakurai, professor and head, Department of Math, Tokyo University of Science and Technology, and Dr. N. Mani, professor, Government Arts College, Erode, and president, Tamil Nadu Science Forum. 

It took 126 years to trace the house where Ramanujan was born. Unfortunately, it was discovered by a Japanese Professor.

2. Ramanujan was a devotee of Goddess Namagiri. For every discovery of his, Ramanujan gave due credit to the goddess. He wrote - An equation has no meaning for me until it expressed the thought of God. Even before going to England, Ramanujan went to Namakkal to take permission from God.

Namgiri Temple Namakkal

CLICK HERE TO PLAY THE QUIZ DAY - 8

Don't forget to give your suggestion to improve the content of the quiz. Write your comment in box.

RAMANUJAN QUIZ DAY 7

 FACTS ABOUT RAMANUJAN

1. JANKI AMMAL (RAMANUJAN'S WIFE) adopted a son after the death of Ramanujan W Narayanan who took care of Janki till her death.

SOURCE:- RAMANUJAN MUSEUM AND MATH EDUCATION CENTRE CHENNAI

2. Ramanujan got enrolled in Town High School and for his academic brilliance he got Ranganath Rao Award for securing the highest marks in Mathematics and English

3. Film God, Zero and Infinity has been shot at different places - Kumbakonam. Trinity College and TIFR. In this film an interview with his adopted son was recorded.

                              CLICK HERE TO PLAY THE QUIZ

RAMANUJAN QUIZ DAY 6

 

Dear Participants

Ramanujan was the only mathematician born in India in the last 1000 years who is so frequently being remembered by mathematicians around the world.

Many films and books on his life are available on You Tube /Google. 

FILM RAMANUJAN

THE MEN WHO KNEW INFINITY

Let's know some interesting facts about Ramanujan

1. Ramanujan's house at Kumbkakonam (in the picture below) has now been converted in a Museum and it was inaugurated by Dr A P J Abdul Kalam and being maintained by SASTRA University.

 

RAMANUJAN'S HOUSE WHICH IS NOW A MUSEUM

(SOURCE :- RAMANUJAN MUSEUM AND MATH EDUCATION CENTRE, CHENNAI)

2. In order to get a job of clerk in Madras Port, Ramanujan wrote a job application (SEE ABOVE)

LINK FOR DAY 1 -5 QUIZ

JANKI AMMAL  WROTE A LETTER FOR RAMANUJAN'S BUST

3. It is heartening to know that Janki Ammal (Ramanujan's wife) had to write a letter to Robert Aksey to do a favour to her to have a bust of him. It took more than 35 long years and intervention of world level mathematicians to collect fund for the bust.

CLICK FOR DAY -6 QUIZ

Usefulness of Shrinivasa Ramanujan's Work in Mathematics

 Ramanujan’s work includes Prime Number, Hyper Geometric Series, Modular function, Elliptical functions, Mock theta function, Magic square, Number theory and some geometry. Many of his results have been used in subject like particle physics, statistical mechanics, computer science, cryptography and space travel. Let me simplify the same for the young readers.

1. His work on Riemann zeta function have been applied on the theory of pyrometry aimed at making better blast furnaces.
2. His result has been used to find the better approximate value of pi.

In 1989, Chudnovsky brothers computed π to over 1 billion decimal places on a supercomputer using a variation of Ramanujan’s infinite series of π.

3. Crystallographer S. Ramaseshan has shown how Ramanujan’s partition theory sheds light on polymer technology. his work on partition has found useful in splicing telephone cables, whose shorter subunits of varying length, again add up to make a whole.

His work on partition theory has applications in a number of areas including particle physics (particularly quantum field theory) and probability.

4. Ramanujan published his paper titled “On certain arithmetical functions” in the year 1916 that investigated the properties of Fourier coefficients of modular forms. He also developed three conjectures on it and his first two conjectures helped develop the Hecke theory, which was formulated 20 years after his paper, in 1936, by German mathematician Erich Hecke.

His third conjecture played a pivotal role in the development of Langlands program in 1970 under Robert Langlands. This program aims to combine two mathematical branches Representation theory and algebraic number theory.

5. Famous Physicist Prof A K Sen has used Ramanujan’s Modular equation to analyze the concept of String theory.

6. The famous taxi cab number and the elliptical curve y^2=x^3+ ax + b that Ramanujan worked on, has a great impact on K3 surface which plays pivotal role in Quantum physics. Calabi- Yau Manifold is an example of K3 surface.

(Courtesy: - Wikipedia)

8. Ramanujan’ work on Theta Function is used to determine the critical dimensions in Bosonic string theory, superstring theory and M-theory.

9. Mathematician Ken Ono says that Ramanujan’s work on Mock Modular form is now used to compute the entropy, or level of disorder, of black holes.

10. Even the Cloud Computing we use is based on Ramanujan’s result.

Thanks for reading

Dr Rajesh Kumar Thakur

Divisibility Rule for 7 and 11