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# Bose Olympiad Senior Level: Resources Bose Olympiad Senior is suitable for kids in Grade 8 and above.

## Curriculum

• Number Theory
• Combinatorics
• Algebra
• Polynomials
• Complex Numbers
• Inequality
• Geometry

### Number Theory

The following topics in number theory are useful for the Senior round:

• Bezout’s Theorem and Euclidean Algorithm
• Theory of congruence
• Number Theoretic Functions
• Theorems of Fermat, Euler, and Wilson
• Pythagorean TriplesChinese Remainder Theorem

Here is an example of a Number Theory problem that may appear in Seinor Bose Olympiad:

### Geometry

The following topics in geometry are useful for the Senior Bose Olympiad round:

• Synthetic geometry of triangles, circles
• Barycentric Coordinates
• Miquel Point Configuration
• Translation
• Rotation
• Screw Similarity

Here is an example of a geometry problem that may appear in the Senior Bose Olympiad:

### Algebra

The following topics in Algebra are useful for Intermediate Bose Olympiad:

• Screw similarity, Cyclotomic Polynomials using Complex Numbers
• AM, GM, and Cauchy Schwarz Inequality
• Rational Root Theorem, Remainder Theorem
• Roots of a polynomial

Here is an example of an algebra problem that may appear in Senior Bose Olympiad:

## Reference Books

• Elementary Number Theory by David Burton
• Principles and Techniques in Combinatorics by Chen Chuan Chong and Koh Khee Meng
• Polynomials by Barbeau
• Secrets in Inequalities by Pham Kim Hung
• Complex Numbers from A to Z by Titu Andreescu
• Challenges and Thrills of Pre College Mathematics
• Lines and Curves by Vasiliyev (something else)
• Geometric Transformation by Yaglom
• Notes by Yufei Zhao
• Trigonometric Delights by El Maor
• Trigonometry by S.L. Loney
• 101 Problems in Trigonometry by Titu Andreescu

Bose Olympiad Senior is suitable for kids in Grade 8 and above.

## Curriculum

• Number Theory
• Combinatorics
• Algebra
• Polynomials
• Complex Numbers
• Inequality
• Geometry

### Number Theory

The following topics in number theory are useful for the Senior round:

• Bezout’s Theorem and Euclidean Algorithm
• Theory of congruence
• Number Theoretic Functions
• Theorems of Fermat, Euler, and Wilson
• Pythagorean TriplesChinese Remainder Theorem

Here is an example of a Number Theory problem that may appear in Seinor Bose Olympiad:

### Geometry

The following topics in geometry are useful for the Senior Bose Olympiad round:

• Synthetic geometry of triangles, circles
• Barycentric Coordinates
• Miquel Point Configuration
• Translation
• Rotation
• Screw Similarity

Here is an example of a geometry problem that may appear in the Senior Bose Olympiad:

### Algebra

The following topics in Algebra are useful for Intermediate Bose Olympiad:

• Screw similarity, Cyclotomic Polynomials using Complex Numbers
• AM, GM, and Cauchy Schwarz Inequality
• Rational Root Theorem, Remainder Theorem
• Roots of a polynomial

Here is an example of an algebra problem that may appear in Senior Bose Olympiad:

## Reference Books

• Elementary Number Theory by David Burton
• Principles and Techniques in Combinatorics by Chen Chuan Chong and Koh Khee Meng
• Polynomials by Barbeau
• Secrets in Inequalities by Pham Kim Hung
• Complex Numbers from A to Z by Titu Andreescu
• Challenges and Thrills of Pre College Mathematics
• Lines and Curves by Vasiliyev (something else)
• Geometric Transformation by Yaglom
• Notes by Yufei Zhao
• Trigonometric Delights by El Maor
• Trigonometry by S.L. Loney
• 101 Problems in Trigonometry by Titu Andreescu

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