**Fluency in Mathematics: **

Background:

Mathematics is humanity’s best tool for trying to describe how the world works; indeed, the unreasonable effectiveness of mathematics at explaining the world is a bit of a mystery. It is therefore said to be the Queen of Sciences.

This unreasonable effectiveness of mathematics is both an asset and a curse. It’s clearly an asset in that it generates interest in the subject to have key problems solved. On the other hand, it’s a curse because it leads people to misunderstand the reason for doing mathematics in the first place; because some math turns out to be just what we need to solve certain problems, suddenly people expect all math to have obvious immediate applications.

The study of mathematics motivated by sheer intellectual curiosity is known as ‘pure mathematics,’ while mathematics studied as means for solving practical problems rather than as an end in itself is known as ‘applied mathematics.

for most non-mathematicians, mathematics is at best a means to some practical end, whether optimizing costs, calculating the trajectory of a spacecraft, or just finishing a degree and getting a job. Anyone interested in a technical career will need to be familiar with some level of mathematics, and the cumulative nature of mathematics makes it inevitable that students will end up studying some topics that don’t directly contribute to the mathematics they’ll use in their career. Nevertheless, the fact that a student can’t see an immediate application for a particular topic does not imply that the student will never use that topic; in many cases, the techniques ones studies in early classes are used to construct the more advanced and powerful machinery one uses later. For example, integration and power series techniques that students see as ‘pointless’ in calculus become valuable tools for solving differential equations, which are the natural language in which most of the practical problems in the real world are expressed.

Week 1: The Landscape of Mathematics

1: A short history of Mathematics

2: Mathematicians in search of beauty

3: Overcoming Maths Phobia

4: 21st Century Mathematics: the Millenium problems

5: Recognitions: Field medal and Abel medal

Week 2: School Mathematics Revisited

6: Number Systems and Arithmetic

7: Algebra, Geometry and Trigonometry

8: Calculus: Differential and Integral

9: Probability and Statistics

10: Special entities: e, pi and phi

Week 3: Glimpses of Advanced Mathematics

11: Linear Algebra and Matrices

12: Game Theory

13: Optimisation

14: Group Theory

15: Topology

Week 4: Computational Mathematics

16: Numerical Analysis

17: Complexity theory

18: Combinatorics

19: Recursion and fractals

20: Conrad Wolfram

**Enrolment procedure**:

Fresh batches of this 4 week program begin on the first Monday of every month.

In order to enroll for the Programme, please **send a WhatsApp message,** with the following text: *‘***FIM**** ’** to +91

**98100 73724**.**Please do mention your name and WhatsApp mobile number on which you would like to pursue the programme through WhatsApp**

**You will be included in the cohort beginning from the nearest Monday to your request date. **

The **Programme Fee of Rs. 5000/**– (**Rupees Five thousand only**) may be remitted** by PayTM to mobile number 9810073724 or deposited into the following Bank account:**

**Name: Madan Mohan Pant**

**HDFC Bank Account No. :** 26451000000**301***

*****(The account number is **26451** followed by **six zeroes** followed by **301**)

**IFSC: HDFC0002645**

**Address: HDFC Bank**, Unitech Cyber Park, Sector 39, Gurgaon

Should you desire to **know more**, please **WhatsApp, your query to :**

**Prof. M. M. Pant** at +91** 98100 73724**

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