Number Theory Course Revamped

The topics that we learn and teach at CGK are:

• Math Olympiad topics
• Number Theory
• Geometry
• Combinatorics
• Functional Equation
• Inequalities
• Polynomials
• Trigonometry
• Complex Numbers
• High School Topics
• Calculus
• Algebra
• Coordinate Geometry
• Trigonometry
• Symbolic Logic
• Computer Science (C language)

We have stand alone courses on each sub topic. These stand-alone courses together make the entire mathematics program at Cheenta Ganit Kendra. Apart from the stand alone courses we have high intensity (inter-topic or topic-introducing) seminars which make the mathematics program worth experiencing.

NUMBER THEORY

As far as number theory is concerned, we have revamped the entire course. The course roughly constitutes.

Content

1. Divisibility 1 and 2 from Mathematical Circles Russian Experience - 4 problem sheets
2. Mathematical Induction and Binomial Theorem - 2 problem sheets
3. 104 Number Theory Problems - 4 problem sheets
4. 105 Diophantine Equation - 4 problem sheets
5. Number Theory section of Problem Solving Strategies by Arthur Engel - 4 problem sheets
6. Navigation through David Burton's Elementary Number Theory - 4 problem sheets

Power-seminars

1. Geometry inside congruency - 2 hours

Time-Line

Each problem sheet may take 5 hours of classroom work. The entire number theory course will be accomplished in 100 hours.