Date of Commencement of the course:


Eligibility for the course: 
 More than 85% or equivalent grade in Mathematics in Std. 7.
 The students who do 8th Std. “Foundations of Mathematics” Course this year can go for “Olympiad Level 1” Course next year.
 The students who are keen to appear for Mathematical Olympiad Examinations (RMO, INMO) and have good background and competence in Mathematics may consider “Olympiad Level 1” course instead of the “Foundations of Mathematics” Course. Olympiad Level 1 Course will be more demanding.

Timings for the course: 
 Tuesday: 6.00 pm to 7.30 pm
 Saturday: 5.30 pm to 7.00 pm

Expected Learning outcomes from the course: 
 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.
 Understand the interrelation between Algebra and Geometry.
 Enhance problem solving abilities and critical thinking skills.

Fees for the programme: 

Syllabus of the course: 
 Semester I: (Approx. 50 hours)
 Arithmetic (14 Hours)
 Divisibility (GCD, LCM and their properties)
 Squares and Square roots, Cubes and Cube Roots
 Percentage
 Simple and Compound interest
 Time and Work, Speed and Distance
 Ratio, Proportion and Variation
 Average
 Algebra (10 Hours)
 Indices
 Identities and Factors
 Linear Equations in one and two variables
 Algebraic Expressions
 Geometry (16 Hours)
 Angles
 Triangles
 Pythagorean Theorem
 Geometric Constructions
 Perimeter and Area
 Polygons
 Circles (Basics)
 Practice and Problem Solving (10 Hours)
 Semester II: (Approx. 50 Hours)
 Algebra (10 Hours)
 Principle of Mathematical Induction
 Simultaneous Linear Equations
 (with no solution, unique solution, infinitely many solutions)
 Geometry (10 Hours)
 Triangles – Congruence and Similarity
 Quadrilaterals
 Number Theory (20 Hours)
 Divisibility, Primes, Prime Factorisation, Euclid’s Division Algorithm
 Congruences
 Chinese Remainder Theorem
 Diophantine Equations
 Fermat’s Little Theorem
 Combinatorics (10 Hours)
 Basic Counting Principles
 Permutations and Combinations – Basic Properties
 Principle of Inclusion – Exclusion

Activities: 
 In addition to the aforementioned syllabus, some interesting hands on activities; viz. mathematics through origami and paper folding, learning similarity and congruence through tangrams, understanding fractals through Pascal's triangle etc. as well as guest lectures on various topics from applied math are conducted for the students in the duration of the course.

Books for Reference: 
 Ganit Prabhutva (Std. 8) : Mumbai and Pune Jilha Adhyaapak Mandal
 Mathematics (Class 8) : Pearson IIT Foundation Series
 Challenge and Thrill of PreCollege Mathematics : New Age International Publishers

Teaching Faculty for the programme: 
 Dr. Abhijit Ranjekar (M.Sc., Ph.D. in Mathematics)
 Ms. Sayali Deshpande (M.Sc. Mathematics)

Coordinator of the programme: 
