Foundation of Mathematics and Introduction to Olympiad Maths

Foundation of Mathematics and Introduction to Olympiad Maths

Date of Commencement of the course:

• More than 75% marks or equivalent grade in Mathematics in 7th Standard.

• Batch 1 (Classroom Session) (Shri. Charudatta Nimkar/Kiran Barve)
  • Wednesday (6:00 PM TO 8:00 PM)
  • Saturday (3:00 PM TO 5:00 PM)
• Batch 2 (Online) (Shri. Charudatta Nimkar/Kiran Barve)
  • Wednesday (6:00 PM TO 8:00 PM)
  • Saturday  (3:00 PM TO 5:00 PM)

• During/At the end of the programme, students will be able to:
  • Read and understand Mathematical material based on the concepts known to them.
  • Get introduced to abstraction in Mathematics.
  • Gain realization of relation between Algebra and Geometry
  • Enhance problem solving abilities and critical thinking skills.
  • Get introduced to foundational topics in Number Theory and Combinatorics

• Classroom ₹ 16,500
• Online ₹ 25,000

• Semester I: (Approx. 50 hours)

1. Arithmetic
   1. Divisibility (GCD, LCM and their properties), Euclid’s Algorithm.
   2. Simple and Compound interest
   3. Time and Work, Speed and Distance Average
   4. Basic  Optimisation in Profit ,Loss situations  and Time, work and speed problems.
2. Algebra
   1. Indices
   2. Identities and Factors
   3. Linear Equations in one and two variables
   4. Algebraic Expressions
3. Geometry
   1. Triangles – Congruence and Similarity.
   2. Pythagorean Theorem.
   3. Circles (Basics).
   4. Problems involving calculations. 
      Proofs of the theorems will be evolved in  an interactive manner.
4. Puzzles

• Semester II:

1. Algebra
   1. Principle of Mathematical Induction
   2. Simultaneous Linear Equations
      (with no solution, unique solution, infinitely many solutions)
   3. Arithmetic and Geometric Progression
2. Geometry
   1. Geometric Constructions., concurrency.
   2. Quadrilaterals
   3. Interesting problems requiring proofs.(Rider)
3. Number Theory (20 Hours)
   1. Divisibility, Remainders, Primes, Prime Factorisation, GCD
   2. Introduction to Congruences
4. Combinatorics (10 Hours)
   1. Basic Counting Principles
   2. Permutations and Combinations – Basic Properties
   3. Set Theory. Principle of Inclusion – Exclusion. Examples of 2 and 3 sets.

• In addition to the aforementioned syllabus, some interesting hands-on activities like learning similarity and congruence through tangrams, understanding fractals through Pascal's triangle etc. will be conducted.
• The guest lectures on various topics from applied Mathematics are conducted for the students in the duration of the course.

1. Mathematics (Class 8) : Pearson IIT Foundation Series
2. A School Geometry by Halls and Stevens.
3. Ganit Prabhutva (Std. 8)
4. Mathematical circles a Russian experience Fomin et al.
5. Challenge and Thrill of Pre-College Mathematics : New Age International Publishers for Reference.

• Prof. Charudatta Nimkar
• Mr. Kiran Barve

• Mr. Kiran Barve